diff --git "a/data/dm_maths/full_data_2/199_11255.jsonl" "b/data/dm_maths/full_data_2/199_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_2/199_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: What is -0.0152473345 rounded to three decimal places?\nAnswer: -0.015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1230.\nAnswer: 2, 3, 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -12*j. Let l(g) be the second derivative of 0*g**2 - 32*g + 0 - 1\/6*g**3. Determine l(b(f)).\nAnswer: 12*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3212647.\nAnswer: 3212647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 4*k - 16 - 4 = 0, 15 = -5*j + 3*k. Let h(x) = 9*x**2 + x + 5. Calculate h(j).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 9\/2*222\/9. Suppose 2*i + v = 5*i. What is the remainder when i is divided by 19?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j**3 + 8*j**2 - 8*j + 10. Let u be ((-12)\/5)\/(-4)*-15. Give k(u).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v**2 + 6*v - 5. Let z be w(4). Let n(a) = a**2 + a - 8. Let f be n(3). Suppose f + 8 = 4*h. Solve 5*u + 14 = -2*j, -z*u - 1 + h = -4*j for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3 + 5. Suppose 3*a + s*a = -310. Let g = -39 - a. What are the prime factors of g?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 185 a factor of 883995490?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -8193412460 to the nearest one hundred thousand.\nAnswer: -8193400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**19\/l**(5\/2))\/(l**1\/l**(2\/3)))**(26\/9) assuming l is positive.\nAnswer: l**(1261\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4314*m**2 + 780*m.\nAnswer: -8628","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-3)\/18)\/((-2)\/9). Let n = 9477 - 9482. Sort 13, m, -2\/7, n in decreasing order.\nAnswer: 13, m, -2\/7, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 6 = 2*c, 5*c - 2 = 5*r - 37. Suppose 0 = -2*z - 18 + 4. Let h = c - z. Solve q = h*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the third derivative of 3*t + 1\/840*t**8 + 0*t**3 - 3\/40*t**4 - 3\/350*t**7 + 7\/600*t**6 + 0 - 93*t**2 + 3\/100*t**5. Suppose k(r) = 0. Calculate r.\nAnswer: -1, 0, 1, 3\/2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*m + 10 = 5*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 2*o**2 + 4. Determine b(-4).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 38436?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 151888 and 10?\nAnswer: 759440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-2)\/(-3))\/(2\/9). Let h(b) = -b**3 + 4*b**2 - 4*b + 2. Let f be h(g). Does 16 divide (23 - f) + 1 - 0?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u**2 - 1. Let z(b) = 4*b**2 + 20*b - 1. Let c(w) = -3*s(w) - z(w). Let v be c(-20). Solve -14 = -v*m - 6 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 84095.43 kilometers in micrometers?\nAnswer: 84095430000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-20*(-17)\/(-2448))\/((-90)\/48)?\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*c**2 + 19*c - 11286.\nAnswer: 4*c + 19","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at most 1\/193630?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -67*m + 22*m + 14*m + 20*m + 15*m.\nAnswer: 4*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that -9\/7*g**3 + 24\/7*g**4 + 3\/7*g**5 - 78\/7*g**2 - 48\/7*g + 0 = 0.\nAnswer: -8, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-18)\/(-3)*(-64289)\/(-318) is divided by 29.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*i**2 - 4*i**2 - i**2)*(-i + 0*i + 0*i)*(i + 0*i - 11*i) to b*i**3 + u + z*i + f*i**2 + k*i**4 and give k.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 1363*s - 25893. What is r(19)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29 = 4*b + 5*w, 3*b + 8 = -2*w + w. Suppose -3*c = u - 11, c = -u + 6 - 1. What is the least common multiple of (1 + 1)\/(b\/(-1)) and u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 188*s**2 + 14*s + 3. Let m(r) = -564*r**2 - 38*r - 8. Let a(u) = 3*m(u) + 8*n(u). Let h(q) = 4*q**2. What is a(h(g))?\nAnswer: -3008*g**4 - 8*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 7*f + f**2 - 3*f + 9*f**2 + 2*f**3 + 8. Let w be y(-7). Let b = -3242\/15 - w. What is the smallest value in b, 4\/5, 5?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 61958*r - 12013 = 62251*r for r.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5, -4, -3, -2, -1, 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -5 and 1.088?\nAnswer: 6.088","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 5013*g**3 - 13*g**2 + 37*g + 13. Is p(3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - ((-70)\/(-10) - 1 - (-3)\/(-2)).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 200 divide 4882284?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y\/(y*y**(-3)*y*y*y)*y*y))\/y)**(-3\/23)*(y**(-4\/5))**23 assuming y is positive.\nAnswer: y**(-2086\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -218, -5, 3 in increasing order.\nAnswer: -218, -5, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r**4 + 861*r**2 + r - 5704. Let c(w) = -3*w**2 - w - 1. Let v(m) = -a(m) - c(m). Differentiate v(b) with respect to b.\nAnswer: -4*b**3 - 1716*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**(-3))\/q**(-1\/6)*(q*q**(-2)*q)\/q**(-5) assuming q is positive.\nAnswer: q**(19\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51*f - 2406 = 122*f - 118*f - 206 for f.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -2*n**3 + 142*n**2 + 144*n + 18. Let r be i(72). Calculate the highest common factor of 39 and r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -11209.8 to the nearest ten thousand.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**(1\/26)*n\/(n**5\/n*n))**(1\/34) assuming n is positive.\nAnswer: n**(-77\/884)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6012793.\nAnswer: 137, 43889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4 + 4 + -6 + 6. Solve 0 = u*o - 4*o - 4*j + 12, -3*j = -4*o - 11 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q**4 - q**3 - q - 1. Let l(t) = 7*t**4 - 4*t**3 - t - 4. Let b(h) = l(h) - 4*r(h). What is 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: Suppose 3*j = -4*z - 4, 5*z = 5*j + 17 - 57. Suppose 0*w - j*w = -8. Suppose -49 = q - w*q. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2a384 (base 11) to base 16.\nAnswer: a827","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -15*l + 3. Let c be s(-2). What is the highest common factor of 22 and c?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 65, 138, 227, 332, 453, 590?\nAnswer: 743","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13157*n - 13079*n + 52383*n - 13080*n - 13064*n.\nAnswer: 3*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 15787151 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - -3) + (2 - 13).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 21025549 and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(-5 + sqrt(320) + 5)*-1)**2 + 4.\nAnswer: 11524","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 4 + 7 - 2 + w - 2*w. Let k be x(9). Suppose -m - z + 3*z + 4 = 0, -5*m - 2*z - 4 = k. Solve -2*s - 3*r + 2 = -6*s, 2*r - 4 = m for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z + 4*w = z + 15, 2*z = -5*w + 18 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 1. Let b(k) = k**3 + 48*k**2 - 92*k + 399. Let o be b(-50). Let a(w) = -10*w - 4. Calculate o*a(n) - 6*f(n).\nAnswer: 10*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6 and 8363173.\nAnswer: 50179038","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -188*u = -3*n - 767, -7 = 2*u - 57*n + 60*n for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1501*q**5*x + q**5 + 850*q*x + q - x wrt q?\nAnswer: -30020*q**3*x + 20*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*h**4*p**3*v + 527*h**4*p*v**3 - 9*h**2*p**3*v**3 + h**2*p*v**2 + 10*v**3 wrt h.\nAnswer: 72*h*p**3*v + 12648*h*p*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -421 (base 8) to base 15\nAnswer: -133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 o when four letters picked without replacement from rrorororrorrrorr?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.4? (a) 12 (b) -2\/21 (c) 0.09 (d) -6 (e) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(1\/3))**19*((x*x**(-1\/4)*x*x)\/x)**(-1\/44)*(x**(-3\/2)\/(x**(-2\/13)*x))**(-1\/6) assuming x is positive.\nAnswer: x**(45883\/6864)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14)\/616*-22*(-92)\/2?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 16\/(-20) + (-2)\/10. Let v = 9 - s. Suppose -m = 5*i + v, -m = -3*i + 2*i - 8. Calculate the remainder when 17 is divided by m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*(((-5763)\/102 - -57) + 37\/(-2))?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 588 by 6.\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + q = r - 43, 19 = 3*q - 5*r. Suppose 0 = q*u - 22*u. Suppose -4*c = 3*v - 20, -4*c - 2*v + 7 + 9 = u. Solve c + 0 = z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 3*g**2 - 48. Let j(y) = y**2. Calculate -2*j(x) + k(x).\nAnswer: x**2 - 48","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + u - 1 - 9 = 0, -10 = -4*k + 2*u. Suppose -k*m - 25999994 = -3*q, -m - 2*q + 5199996 = -2*m. Round m to the nearest one million.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 11811 and 279?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -148 + 152. Solve t*g - 33 = -53 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that 5*l**4 - 35*l**3 + 20*l**2 + 60*l = 0.\nAnswer: -1, 0, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1274106?\nAnswer: 2, 3, 131, 1621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 220925 and -0.25?\nAnswer: -55231.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - (0 + 3 + 1)) + 1.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -212112 (base 3) to base 12\nAnswer: -44b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -42318 * 12.\nAnswer: -507816","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -309973*l + 42 = d - 309977*l, -40 = -5*d + 3*l for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 45 and 1251?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 54761 = -5*f, 16*f - 11*f - 54743 = -2*b. What is the thousands digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8072 - 8045. Calculate the least common multiple of v and 299.\nAnswer: 8073","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2 (b) 2 (c) 1\/4 (d) 0.2 (e) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express ((3 + 2*q**3 - 3)*(5*q - 4*q - 3*q) - 13*q**4 + 27*q**4 + 6*q**4)*(-1 + 2 + 2)*(-2195 + 1107 + 1106) as c*q**4 + x*q**3 + s + t*q**2 + p*q and give c.\nAnswer: 864","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -t - 4*t + 245. What is the tens digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(5 + (5 + sqrt(7)*-1 + (sqrt(28)*-1)\/sqrt(4))**2 + (-4 + sqrt(175) + (sqrt(175) - (2*sqrt(175)*4 - sqrt(175))))**2).\nAnswer: 180*sqrt(7) + 4449","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s**3 + 2*s**2 - 4. Let v be h(0). What are the prime factors of ((-2)\/v*-1)\/((-18)\/2124)?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 524232 divided by 9708\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 685 minutes before 2:10 AM?\nAnswer: 2:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - (6 - -2)) + 9?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3 + (-3)\/(9\/15). Let b(v) = -62*v + 8. Let i be b(a). Calculate the greatest common divisor of 22 and i.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 152*f = 3*t + 154*f + 5, 0 = 2*t + 3*f + 15 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -2*v + 14. Let y be d(6). Suppose y = n + 7, 0 = 4*a + n - 211. Is 9 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 223698?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -470\/89 less than -6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -23*d - 27*d - 23*d + 86*d. Let v(s) = -50*s. Determine v(q(n)).\nAnswer: -650*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 222 + -221. Solve -3*r + 8 + z = 0 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -b**3 + 12*b**2 - 12*b - 11. Determine r(11).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**3 - 462*p**2 + 455*p + 2766.\nAnswer: (p - 461)*(p - 3)*(p + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -469 + 470 = x. Suppose 23*b = 22*b + x. Which is smaller: b or 1\/82?\nAnswer: 1\/82","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) 28 (b) 0 (c) -2\/5 (d) -12.01 (e) 0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, -148378, -5, -4 in descending order.\nAnswer: 8, -4, -5, -148378","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 170 - 166. Sort l, 16, -5 in decreasing order.\nAnswer: 16, l, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.85777312 rounded to 2 decimal places?\nAnswer: -4.86","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 3 - 8)*(2 - 2 - l**2)*(-6*l**2 - 2 + 7*l**2 + 1) in the form w*l + g*l**2 + d*l**3 + q + h*l**4 and give g.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u**2 - 3*u + 4. Suppose 282 + 284 = 51*o + 158. Calculate y(o).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:23 PM and 4:03 PM?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*g = q - g + 20, g = -3*q - 4. Is q != 1\/15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7 - 456525944\nAnswer: -456525951","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -381*w*x**2 - 489*x**2 + 2 wrt w?\nAnswer: -381*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(108)*-2 - 2*(sqrt(108) + sqrt(108) + sqrt(108) + -1 + sqrt(108)))**2.\nAnswer: -48*sqrt(3) + 436","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*z = -3*f + 126, -5*z + 0*z = -3*f + 6*f - 124 + 26 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-1))\/(-6)*-3?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 101 is divided by 7?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -47, 3, -1150486 in ascending order.\nAnswer: -1150486, -47, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 3\/4, -3, 46, -1\/2?\nAnswer: 46","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:47 AM and 4:37 PM?\nAnswer: 530","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 85 and 18536545?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-30)\/1)\/((2 - 0) + -4). Suppose -u - 5*b + 554 = 0, 12 = 3*b + w. Is 9 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 3 - 1)*(-4*f**3 + 2*f**3 + 0*f**3) + 2*f**3 - 76*f**2 + 76*f**2.\nAnswer: 8*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -37*y + 67. What is b(3)?\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 2*h + 7. Calculate b(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4 and 2653.118?\nAnswer: 10612.472","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 125*f**5 + 265*f**2. Let k(o) = -373*o**5 - 793*o**2 + 1. Let x(a) = 2*k(a) + 7*u(a). Find the third derivative of x(z) wrt z.\nAnswer: 7740*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:52 AM and 8:11 AM?\nAnswer: 139","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -19706*m*q*y - m*q - 4*m*y + 3*m + 6*q*y - 217073*y - 2 wrt m.\nAnswer: -19706*q*y - q - 4*y + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 313644866?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(64))\/sqrt(2) + sqrt(96)\/sqrt(3)*4 + -5.\nAnswer: -5 + 12*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -6 + -14741?\nAnswer: -14747","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 32*q + 16*q + 61596 = 0. Calculate the remainder when q is divided by 213.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 241 = -265. Let d be (3\/9)\/((-16)\/24318). Let o = d + z. Is -1 at least as big as o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 2*y + 6. Let a(t) = 2*t + 5. Let c(x) = -16*x - 69. Let f be c(-4). What is f*o(j) + 6*a(j)?\nAnswer: 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:26 PM and 2:01 PM?\nAnswer: 95","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 965835 divided by -50.\nAnswer: -193167\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 59*a*n**3 + 2617*a - 77699*n**2 - 996 wrt n?\nAnswer: 177*a*n**2 - 155398*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -347457, -347383, -347259, -347085, -346861, -346587?\n\"Answer: 25*n**2 - n - 347481","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ssx when three letters picked without replacement from kukukuxukkksskxxk?\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 0.04, -3\/1232, 3\/4, -0.1, -5, 147?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -17 + 10. Let d = -8 - q. Which is the second smallest value? (a) d (b) 1\/4 (c) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -82*w = 3*f - 85*w - 711, 0 = -2*f - 3*w + 494. Suppose 8*v - 2403 = -475. Do v and f have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48*c + 2432 = 28*c. What is the greatest common factor of 688 and c?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/(-12)*(-72072)\/1404?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 18123660 to the nearest integer?\nAnswer: 263","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((v\/(v\/(v*v**(3\/7)*v)))\/v)\/v)\/v**6)\/(v\/(v*v**(2\/3)))**4)\/(v**(-2)*v**(-1))**26 assuming v is positive.\nAnswer: v**(1577\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4.7 - -0.3. Which is the closest to 3? (a) 0.1 (b) 0.3 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pppppppwpppkwpkpwppp. What is prob of sequence wpkp?\nAnswer: 7\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -82479735, -82479738, -82479743, -82479750, -82479759?\n\"Answer: -n**2 - 82479734","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 18123248 and 2200?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 685 - 393 + 18*w**2 - 292.\nAnswer: 18*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -172 + 274. Let f = n + -304\/3. Which is the third biggest value? (a) -0.4 (b) f (c) 2\/7 (d) -1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 79*t + 7. Let z be f(4). Suppose -4*v + 2*w + z = 5*w, 3*v = -w + 241. Suppose 0 = -8*g + 12*g - v. List the prime factors of g.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 792959690 + -865141.\nAnswer: 792094549","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -2*x - 7. Let s be f(-5). Suppose 2*k = 4*k - 2. Let z(a) = -a**3 - a**2 - a + 1. Let r be z(k). Put r, s, 1 in ascending order.\nAnswer: r, 1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4 and -1366631.\nAnswer: 5466524","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/9? (a) 0 (b) 8 (c) -2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -3454 divided by 4\nAnswer: -1727\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1 and 53?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -12 (b) -4 (c) -0.147\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1730 and 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9868 + -9752.93. Let q = k - 115. Put 0.1, -3, q, -1 in decreasing order.\nAnswer: 0.1, q, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, 1\/7, -0.49 in descending order.\nAnswer: 0.4, 1\/7, -0.49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 160948 to the nearest integer?\nAnswer: 401","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1200 and 120?\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let 9*m**3 + 6*m**2 - 21*m + 6 = 0. What is m?\nAnswer: -2, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 4517331 take away -0.14?\nAnswer: 4517331.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o and 2 m when four letters picked without replacement from {m: 1, d: 1, o: 2}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 1576 divide 52822207?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 2*n + 4. Let c be f(3). Let h(r) = 2 + 13 + 17*r - c*r - 6*r. Let v be h(3). Calculate the greatest common divisor of v and 144.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 104 or 610?\nAnswer: 104","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 834108 divided by 417054\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - -2)*(35 + -21 + -3)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 100224 (base 7) in base 5?\nAnswer: 1020143","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.022 - -0.4. What is h rounded to two dps?\nAnswer: 0.38","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 661 to the power of 1\/3, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 779, 1551, 2313, 3059, 3783?\nAnswer: 4479","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 596 minutes before 4:02 PM?\nAnswer: 6:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 158132?\nAnswer: 2, 13, 3041","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 6 + 1)*(4*y - 6*y + 4*y)*(33*y + 92*y - 14*y).\nAnswer: 444*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j**3 - j**2 - 9. Calculate q(-3).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-13)\/4)\/(((-8)\/(-260))\/(54\/(-1053)*-12)).\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -95\/59358 and 13\/9132?\nAnswer: 118716","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i and 2 f when four letters picked without replacement from {i: 3, f: 5}.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that -2*o**3\/13 - 27834*o**2\/13 - 96380550*o\/13 + 3210941250\/13 = 0.\nAnswer: -6975, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -447 + 15?\nAnswer: -432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000004777 to seven dps.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 595, -25, 4 in increasing order.\nAnswer: -25, 4, 595","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -21*b - 164. Let c be g(-8). Solve -3*s = 4*v - 16, 8 - c = 4*s + v for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.336 rounded to 0 dps?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 49*p**2 - 8*p + 1. Let k = -197 - -193. What are the prime factors of n(k)?\nAnswer: 19, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ehmeeeeeeeeemeeehvvh. What is prob of picking 4 e?\nAnswer: 143\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/5 in -0.04, 49, 10.729?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1038053 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that -9*n**5 + 653916*n**4 - 2179569*n**3 - 3705498*n**2 + 10462068*n + 7846632 = 0.\nAnswer: -2, -2\/3, 3, 72654","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 42 + -1. Suppose p - 1 = 2*w. List the prime factors of w.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 96, 159, 194, 201, 180, 131, 54?\n\"Answer: -14*q**2 + 105*q + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6*4\/48)\/((-6)\/(-4)).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 183106 is divided by 33?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -226 in -2\/3, 0.3, 0.4?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -195*q**3 + 3*q**3 - 47*q**3 + 43*q**3.\nAnswer: -196*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 28 and 4482674?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -2*c + 2*c - 9 - 11*c. Let s(g) = g. Suppose -1 = -0*q - q. Let t(i) = -8*i - 4. Let r(l) = q*t(l) + 3*s(l). What is 6*p(w) - 13*r(w)?\nAnswer: -w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6010*f - 448393 = 92507 for f.\nAnswer: 90","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3\/(4 - 9 - -4). Let q(l) = l**3 + 4*l**2 - 8. Let w be q(b). Sort w, 4, -3 in descending order.\nAnswer: 4, w, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0 (b) -1438953 (c) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -11628.17 * 5.\nAnswer: -58140.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 455149?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r**2 - 3*r - 1. Let z be p(4). Let s(h) = h**z + 1 - 13 + 4*h + 8*h - 10*h**2. Let u be s(9). Solve 0 = 4*f + f - u for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-10*11\/132)\/(-5))\/((-2)\/12).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 82*l - 66 = 76*l. Let o(z) = -3*z**2 + 36*z - 10. Let k be o(l). Solve 4*w - 11 = -k for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 2*j**3 + 11*j**2 - 23*j - 5. Let l(a) = -a**3 - 5*a**2 + 11*a + 2. Let b(d) = 6*k(d) + 13*l(d). Is b(-5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*q + 3*q - 4*q + (-219 - 19*q + 219)*(-7 + 3 + 3) in the form d + r*q and give r.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w**3 - 6*w**2 + 3*w + 11. Suppose -2*k + 5*k = 0. Suppose 7 = -b - k*b. What is the tens digit of p(b)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 219 is divided by 15?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -41 + 45*p**3 + 2*p**2 + 13*p - 28*p**3 - 2*p**2 + 44 to the form q + f*p**3 + t*p**2 + r*p and give q.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 73 = -z - 3*g - g, -2*g = -5*z - 321. Let x = z + 70. Solve -5*w + 0*l = 4*l + 1, 3*l - 3 = -x*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 983 divide 460407?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 424880 and 28361680?\nAnswer: 3760","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v**2 - 111*v - 2094. Determine g(-103).\nAnswer: -1270","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 7, f: 7}. What is prob of picking 2 w?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 196650.\nAnswer: 2, 3, 5, 19, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/(-50))\/((-81)\/135).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 665 divided by -160?\nAnswer: -133\/32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m + 15. Let r(h) = 2*h - 33. Give 2*r(t) + 5*y(t).\nAnswer: -t + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -29.7 - -33.7. Let v = -0.43 + 0.13. What is the nearest to j in -3\/2, 2\/9, v?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lfduk. What is prob of sequence kdu?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 95\/4 and -75\/13186.\nAnswer: 26372","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 3*l**2 - 13*l - 8. Is z(8) a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5766 + 5766. What is the closest to 0 in w, -3, -22, -2\/13?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 6*q + 10*q**3 + 9 + 3*q - 372*q**2 + 412*q**2 - 5*q. Calculate k(-4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 73*u**2 - 5546*u - 137. Let w be y(76). Suppose x - 5 = -0. Suppose 7 = m - x. Calculate the greatest common factor of m and w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21133236 to the power of 1\/3, to the nearest integer?\nAnswer: 276","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5629 + 5691. Solve -b + 62 = 12*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 6) to base 14\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 487*g - 4135. Give j(9).\nAnswer: 248","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3\/16 of a millennium?\nAnswer: 2250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 57541539121 less than -25?\nAnswer: -57541539146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w**3 + 6*w**2 + 9*w + 9. Let s(o) = -2*o**2 - o - 2. Let i(m) = c(m) + 5*s(m). Let d = 4 - 1. Calculate i(d).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -126743 - -228943. Let c = h + -102280.0013. Let m = c - -80. What is m rounded to three dps?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j**3 - 2*j**2 - 13*j - 9. Let s be 1590\/72 + -22 - (-2 - 70\/24). Calculate n(s).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8, -1, 10, 25, 44, 67?\nAnswer: 94","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yuwbmmxu. What is prob of picking 1 m, 1 y, 1 b, and 1 u?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-40*a**3 - 90*a**3 + a**2 - 2*a**2)*(-8*a + 7 + 7*a - 1).\nAnswer: 130*a**4 - 779*a**3 - 6*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-3\/5)\/(q\/((q**(6\/5)*q*q)\/q)*q)*(q\/q**(-3))**31 assuming q is positive.\nAnswer: q**(618\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38*i**2 - 21 - 22 + 43.\nAnswer: -38*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -151226 (base 7) to base 15\nAnswer: -8a18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4044 a multiple of 337?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = -3*q + 16. Let t = q - 2. Put t, -5, 4 in increasing order.\nAnswer: -5, t, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 119 - 159 = -48*j - 184 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the second derivative of d**4\/12 - 7*d**3\/6 + d**2 - d. Let g be -1 + 5 + (-56)\/14. Suppose -u - 11 = -q, 0 = -2*q - u - g*u + 10. Determine m(q).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p + 2*p - 2*p)*(5*p**2 - 4*p**2 + p**2) + p**2 - p**2 - 4*p**3.\nAnswer: -6*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 390*i**2 - 198*i**2 - 195*i**2.\nAnswer: -3*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 20309, 40644, 60979, 81314, 101649, 121984?\nAnswer: 142319","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -16455, -16436, -16405, -16362, -16307, -16240, -16161?\n\"Answer: 6*r**2 + r - 16462","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the third derivative of 2*a**2 - 1\/48*a**4 + 1\/210*a**7 - 1\/60*a**5 + 0*a**3 + 0*a**6 + 0 + 1\/672*a**8 + 0*a. Factor l(p).\nAnswer: p*(p - 1)*(p + 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is c in 4\/5 - 2\/5*c**3 + 6\/5*c + 0*c**2 = 0?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - -10) + -3*2261\/833\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 462 minutes before 1:10 AM?\nAnswer: 5:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5, 0.02, -0.71, -6\/7?\nAnswer: -0.71","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l + w + 6 = 0, -1373*l = -1377*l + 2*w + 14 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 + 5. Suppose 0*a = t*a - 3*n - 295, -50 = -a - 4*n. Suppose -m - 2*m = -72. What is the remainder when a is divided by m?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in twenty-five halves of a millisecond?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -7*y**4 - 4*y**3 + 288*y - 49257 wrt y.\nAnswer: -28*y**3 - 12*y**2 + 288","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5912?\nAnswer: 2, 739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 138 a factor of 222732?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out 653 - 626.325793.\nAnswer: 26.674207","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -294164931 or -294164930?\nAnswer: -294164930","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (22\/(-6))\/(9750\/420 + -24)?\nAnswer: 14\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 take away -0.230210987056?\nAnswer: 2.230210987056","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 14.90709*0.06\nAnswer: 0.8944254","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h\/(h\/(h\/h**(-1))*h))**(-44))**(-13\/4))**(45\/2) assuming h is positive.\nAnswer: h**(6435\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1 + 0)*15\/(-3). Suppose 0 = -i - 5*m + 72, 4*i - d*m - 311 = -2*m. What is the highest common divisor of i and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the first derivative of o**2 - 7*o - 3. Let v(k) = k**2 + k + 1. Let z be v(-3). What is the units digit of y(z)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*p + 3*p + 3*p)*(-1 - 2*p - 1 + 4*p).\nAnswer: 2*p**2 - 2*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/((-2)\/(-16)*1). Let p(w) = -2*w + 20. What is the units digit of p(g)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.4 - -0.3. Suppose 4 = 2*y - 8. Let d = y - 15\/2. Which is the biggest value? (a) s (b) 1\/2 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the third derivative of -h**5\/4 - h**4\/8 + h**3\/3 + h**2. Let d be v(-6). Let x = d + 950. What is x rounded to the nearest one hundred?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3499.736594212 + -41.898188088. Let y = -3582.63478 - t. Let p = 41 + y. Round p to six decimal places.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 1 = -9. Suppose b*a + 2 = 4*g + a, 0 = -4*g + 2*a. Let v be (g - (-6)\/9)*3. Is -2 equal to v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (89\/5)\/((-134)\/(-134)*(-12)\/60).\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 216 and 887688.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 962.\nAnswer: 2, 13, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 16 = -n, -f - 2*f = -15. Let r = -2 - -37. What is the remainder when r is divided by 8 + (2\/(-4))\/((-2)\/n)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 30 and 318\/11 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*m - 61*m + 2814. Calculate the greatest common divisor of m and 483.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10193 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 57 is divided by (-918)\/(-45) - (-6)\/(-15)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-28)\/(-35))\/(-1))\/((-120)\/(-134 + 74))?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 7\/(21\/(-90)) + (0 - -1). Let f be (22\/66)\/(2 - t\/(-6)). What is the third biggest value in -0.9, f, -1\/4?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**0)**(-45)*a**(2\/13)\/(a**3\/a*a)*(a\/(a*a\/a**(7\/5))*a**(-4\/5))**30 assuming a is positive.\nAnswer: a**(-193\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 301 a multiple of 41?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in one sixth of a day?\nAnswer: 14400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 7 - (-1 - -9)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 49038954 to the power of 1\/2, to the nearest integer?\nAnswer: 7003","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the second derivative of t**7\/10080 + t**6\/1440 + t**5\/480 - t**4\/6 + 2*t. Let h(l) be the third derivative of w(l). Factor h(c).\nAnswer: (c + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 4, d: 1, c: 1, i: 2, b: 2, z: 2}. Give prob of picking 1 i and 1 d.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 630 - 329. Suppose -3*q + 4*p = 3*p - h, -5*q = -5*p - 505. List the prime factors of q.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19600 rounded to the nearest ten thousand?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j**2 + j - 49. Let c be v(9). Suppose k + 6*b = 4*b + 6, 3 = -k + b. Let o = c + k. Round o to the nearest 10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -179.168 + 3.468. Are w and 0.1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 8*d**2 - 6*d + 2. Let k be i(2). Let x(q) = -q - 1. Let t(l) = -10*l - 10. Calculate k*x(y) - 2*t(y).\nAnswer: -2*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-three fifths of a millimeter in micrometers?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 373 = 4*m - 47. What is the hundreds digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 104 a factor of 3980288?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6411 + -3832. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b\/b**(-43)*b*b**4*b assuming b is positive.\nAnswer: b**50","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 80 is divided by 51?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 116.4601 rounded to the nearest 10?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6074580 and 6165?\nAnswer: 18223740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -176607 in -5, -0.4, -2\/25, -20, 0.3?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 19460000 to the nearest 1000000.\nAnswer: 19000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -38949, -77855, -116761, -155667, -194573, -233479?\n\"Answer: -38906*l - 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/(-6)*(-11)\/154)\/(6\/(-18))?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13503*p + 13503*p + 1872*p**2)*(-1 + 3 - 5)*(3*p - p**2 - 3*p).\nAnswer: 5616*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that -3*m**5\/4 - 6*m**4 - 3*m**3 + 33*m**2\/2 + 15*m\/4 - 21\/2 = 0.\nAnswer: -7, -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -76519 - -0.3?\nAnswer: -76518.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 135*o - 21963 = -134*o, 4*n - 5*o = 17562. Calculate the lowest common multiple of n and 6.\nAnswer: 26358","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (256\/(-6912))\/((-2)\/(-12))?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -465, -380, -235, -30, 235, 560?\nAnswer: 945","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 113, 243, 373, 503, 633, 763?\nAnswer: 893","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 16483, 32921, 49303, 65629, 81899?\nAnswer: 98113","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 13*i**2 - 108*i + 12. What is l(6)?\nAnswer: -168","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.00395 and 44.\nAnswer: 44.00395","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 117596 to the power of 1\/3, to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46 = 4*l - 5*v, -4*v + 0*v + 62 = -5*l. Let r = l - -10. Sort -2, -3, r.\nAnswer: r, -3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 15811, 15829, 15857, 15895?\n\"Answer: 5*s**2 + 3*s + 15803","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 5*k**3 - k + 5. Let g(a) = -16*a**3 + 2*a - 16. Suppose 8*d = 4*d - 40. Determine d*z(h) - 3*g(h).\nAnswer: -2*h**3 + 4*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -242 - -1044132?\nAnswer: 1043560","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (3 - 3 - -3) + 2. Let d(a) = 4*a - 3*a - q + a**2 + 60. Is d(0) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vqvvvegqlvlvqqle. What is prob of sequence vl?\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -38.489 times 54\nAnswer: -2078.406","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 2081, 2085, 2091, 2099?\n\"Answer: z**2 + z + 2079","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 196139 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 29470067 and 583.\nAnswer: 583","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 5, v: 2}. Give prob of sequence vk.\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -930, -865, -700, -387, 122, 875?\nAnswer: 1920","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 39*i + 30586*i**2 - 30581*i**2 + 121*i.\nAnswer: 5*i*(i + 32)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 254.07 minus 31105.63?\nAnswer: -30851.56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: 46, 179, 552, 1285, 2498?\nAnswer: 4311","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 22 + (-4 - (-1 + -1)). Suppose c + 16 = -3*q + 1, 0 = -q - 5. Suppose -5*x + 4*x = c. Solve o + 4*o + k = x for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 165, 135, 57, -93, -339, -705?\n\"Answer: -4*d**3 - 2*d + 171","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5 - -33) + 2 - (1 + 6)) + 0.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*a**2 - 3*a - a + 1 + 3*a - 2 + a**2 + 2 + 4*a**2 + 0*a**2 - 2*a**2 + (7*a - 3*a - 2*a)*(-a - 3*a + 3*a) + 3*a**2 - 3*a**2 - 2*a**2.\nAnswer: a**2 - a + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5 - 14122?\nAnswer: -14130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -4*a**2 + 34*a - 77. Determine p(3).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -127, 3, -49, 5 in descending order.\nAnswer: 5, 3, -4, -49, -127","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-8)\/28 - (-26360862)\/1260. Let a = -20918 + m. Find the common denominator of -23\/48 and a.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2 + 4.9. Let h = 47178.1031 + -47181. Let m = h + v. Round m to 3 decimal places.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a + 38 = 4*y - 4, -18*y = 73*a - 76*a for a.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1056 is divided by (-6)\/87 + 240380\/2929.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.8 + -17.8. Let t = 2658\/17 - 23956\/153. Put 0.5, 2, t, p in increasing order.\nAnswer: p, t, 0.5, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 14327955 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 41499*q**2 + 1497*q + 2 wrt q.\nAnswer: 82998","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 2*d + 6*d - 2*d - 2. Suppose 42*i + 660 = 330 + 624. Let c(b) = 2*b - 1. Calculate i*c(r) - 2*w(r).\nAnswer: 2*r - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 y when two letters picked without replacement from {c: 3, y: 8, m: 2, q: 3}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.43504762 rounded to three decimal places?\nAnswer: -0.435","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 159*f**2. Let y(w) = -744155*w. Determine i(y(l)).\nAnswer: 88048899579975*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5773 is divided by 1913.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -5071 (base 9) in base 7?\nAnswer: -13546","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (18\/15)\/(2\/(-10)). Is 674*(3\/r)\/(-1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 23 - 7. Suppose 5*m + u = -f - 0*m, -4*f + 2*m = -24. Let o = f + -3. Let d(t) = -3*t - 1. Determine d(o).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -24 + -11 + 2.\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -117 - -119. Let m be -1 + 62\/(4\/j). Let w be (m\/4)\/5*6\/21. Which is the second biggest value? (a) 1 (b) 1\/2 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 30 + -64?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-7*r - 3*r + 9*r)*(-2*r - 4*r + 3*r)*(0*r - r + 0*r) to the form d*r**2 + u + h*r**3 + n*r and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the first derivative of 5039*b**4\/4 + 2*b**3\/3 + b**2 + 645*b - 2374. What is the second derivative of v(r) wrt r?\nAnswer: 30234*r + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -131 + 152. Solve 23 + 61 = -x*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -25794 divided by -4299.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = 8*x - 5*f - 47, 3*x - f - 38 = 0. Suppose x = -2*j + 5. Let i be 24\/9 + j\/6. Solve -4*o = -3*l - 8, o - i = 3*l + 2*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 5*v**3 + 3*v**2 + 20 - 19 - 7*v**3 + 3*v - 7*v**3. Suppose 0 = 3*w - 6*w - 6. Is d(w) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 minutes before 5:09 PM?\nAnswer: 4:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) -4 (b) 6\/7 (c) -7 (d) 1 (e) -1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 8357, 8367, 8379, 8393, 8409, 8427?\n\"Answer: n**2 + 7*n + 8349","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 25510*l. Let k(f) = 279*f. What is k(c(p))?\nAnswer: 7117290*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1268665, -2537337, -3806009?\nAnswer: -5074681","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -208 * -409188\nAnswer: 85111104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 596 - 572. Suppose -2*b - 240 = -6*b. Calculate the greatest common divisor of w and b.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-2\/5))**(-2\/81)\/(((n*n\/(((n*n*n**(1\/2)*n)\/n*n)\/n))\/n)\/n**(-5\/3)))**(-29) assuming n is positive.\nAnswer: n**(3683\/810)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 2*-1*1638\/(-252)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b**3 + 11*b**2 + 9*b - 10. Suppose -2*j + 88 = -44. Let d = 56 - j. Determine y(d).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 61117907 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5579, -5808, -6163, -6644, -7251, -7984, -8843?\nAnswer: -9828","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = -3*i. Let u be (-3 + (-2 - -4))\/(-2). Let x = -7 - -41\/6. Which is the nearest to 0.1? (a) u (b) i (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14598590 divided by 2593\nAnswer: -5630","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0009394406 to seven dps.\nAnswer: 0.0009394","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1686?\nAnswer: 2, 3, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 975538?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30999224?\nAnswer: 2, 61, 139, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 34503.934316 - 34504. Let h = i + 15.065844. Let n = h - 15. What is n rounded to 4 decimal places?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 9, n: 1, p: 6, e: 2, b: 1}. What is prob of picking 1 b and 2 p?\nAnswer: 5\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 119892?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 15 and 167805?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1b + 1474d34?\nAnswer: 1474d19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -2*f + 40. Suppose -80 - 91 = -9*o. Let p be s(o). Solve -r + u - 5 = 1, p*u - 16 = 4*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d - 9. Let j(t) = t**2 - 3*t + 19. Give 6*j(m) + 13*v(m).\nAnswer: 6*m**2 - 5*m - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - (-3 + 2) - (3 - 4).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/108552548 and 25\/2297737.\nAnswer: 4016444276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 154 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 74 divide 174788?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 519876 a multiple of 155?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 1998 (base 10) to base 7\nAnswer: 5553","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 35303 and 404753.\nAnswer: 821","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4 (b) -0.1 (c) -3 (d) 6657 (e) -0.3 (f) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-134475)\/(-11000) + (407\/(-88) - -5)\nAnswer: 63\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tscz when four letters picked without replacement from {t: 3, s: 2, z: 1, g: 4, c: 4}.\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -422450 (base 6) in base 16?\nAnswer: -85fe","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.05? (a) 13 (b) 0.5 (c) 1\/8 (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 67*u**2 + 225*u + 116. Give l(-3).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2e (base 16) to base 7.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1456699 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 212 is divided by 55?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1399 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = b - 184672, 2*k + b - 51592 = 22272. Does 19 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 66, 402, 968, 1770, 2814, 4106, 5652, 7458?\n\"Answer: t**3 + 109*t**2 + 2*t - 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 8 + -35 + 10 + -5 + -10 + -2 + 15\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.134 (b) -2 (c) -4\/5 (d) 0.5 (e) -0.5 (f) 119\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k**3 + k**2 - 12*k + 6. Calculate y(-6).\nAnswer: -102","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(7) + -5 - sqrt(42)\/(sqrt(18)\/sqrt(3)))**2*-3 - (-6*(0 + sqrt(567)) - (1 + sqrt(567) + -2 - sqrt(567))).\nAnswer: -76 + 54*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 137011 - -7534. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1 + 0 + 29 + (0 - -2). Suppose -3*q = 3*q - d. Suppose -5*h - 450 = -3*c - 2*c, c + q*h = 72. List the prime factors of c.\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -134 + 134 = -2*a. Is 27\/(-9) - (1*-133 - a) a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 110, 112, 114, 116, 118?\n\"Answer: 2*c + 108","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 923146 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2772173?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -18*u**2\/5 - 37052808*u\/5 - 12350934\/5.\nAnswer: -6*(u + 2058489)*(3*u + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -3421, -12975, -28637, -50407, -78285, -112271?\n\"Answer: -3054*y**2 - 392*y + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8871.\nAnswer: 3, 2957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 + 7 = 8*w. Suppose -w*k + 9 = k + i, k = 2*i. Suppose -5*h - 292408 = k*v + 29617, -3*h = -3*v - 482985. Round v to the nearest ten thousand.\nAnswer: -160000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 2011, 3988, 5905, 7738, 9463, 11056, 12493?\n\"Answer: -4*p**3 - 6*p**2 + 2023*p - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 170 and 425.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w**3 + 6*w**2 - 4*w - 2. Determine t(-6).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 11074475, 11074513, 11074613, 11074805, 11075119, 11075585, 11076233?\n\"Answer: 5*u**3 + u**2 + 11074469","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 9228018134 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-68208)\/10005)\/(-98))\/(4\/(-15))?\nAnswer: -6\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7121*y + 40 - 2333*y - 2358*y - 39 - 2461*y.\nAnswer: -31*y + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ppcppppcpc. Give prob of picking 3 p and 1 c.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 5}. What is prob of picking 4 x?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2301 and 1933607?\nAnswer: 767","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 24*w**2 - 3*w - 3. Let h(c) = 4 + 8 + 35*c + 23 - 287*c**2. What is 3*h(n) + 35*m(n)?\nAnswer: -21*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 42\/15 - (-1)\/5. Suppose -c*z = 3*x - x - 6, 3*z = 5*x + 6. Suppose x = -3*o + 5*o - 1754. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2551 + -11630?\nAnswer: -14281","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 45*k + 511. Let n be d(-11). Calculate the greatest common factor of 1616 and n.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41*p + 74 = -4*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -140 (base 8) to base 10.\nAnswer: -96","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -27\/7? (a) -3 (b) -2\/347 (c) -2 (d) -2\/13 (e) -4 (f) 352\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -6*o**3 - 9*o**2 + 46*o + 78. Let l(y) = -5*y**3 - 11*y**2 + 45*y + 77. Let i(a) = 7*l(a) - 6*m(a). Let r be i(21). Solve q - 3*q = r for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 8*u**3 - 15*u**2 - 6*u + 2. Let v(g) = -9*g**3 + 17*g**2 + 7*g - 2. Determine 7*h(t) + 6*v(t).\nAnswer: 2*t**3 - 3*t**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -j + 5*y, -5*y + 11 = -4. Suppose 3*c + 3 - j = 0. Suppose -72 = -5*f - c*l + 348, 5*l + 420 = 5*f. What is the tens digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 671*w = 1864*w + 9301 - 11283 + 28228 for w.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 273.206 minus -0.098624?\nAnswer: 273.304624","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.1 and -1047?\nAnswer: -104.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1421920?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 - -8 - (6 + -2 + -5 - 2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -301 + 284. Let p(w) = w**3 + 18*w**2 + 17*w + 7. Let i be p(q). Solve 4*s + i - 23 = 0 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -207*s. Let m(d) = -157*d + 4392. Let b be m(28). Let i(u) = -13*u. Calculate b*f(a) + 63*i(a).\nAnswer: 9*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.05 in -0.435, -1, -313?\nAnswer: -0.435","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((8 + -11)\/(-9))\/(3 - (2 + 2))?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -38071 divided by -11.\nAnswer: 3461","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 3619.6798 to the nearest 1000.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 28\/12 - (-23)\/((-253)\/22). What is the fourth smallest value in k, -1\/2, 0, 1, 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*f**3 + 23928*f**2 + 46814775*f - 3596538750.\nAnswer: 3*(f - 74)*(f + 4025)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l**2 - 69390. Let p(y) = -9*y. What is p(d(m))?\nAnswer: 9*m**2 + 624510","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Do -21978140\/13 and -1690626 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v**2. Let w(f) = 67*f + 31. Determine w(z(a)).\nAnswer: -67*a**2 + 31","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1066665 by 1.\nAnswer: -1066665","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -233 - -22524420?\nAnswer: 22524143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 2 + 2 - 6 + 1 + (3 + 1 + 0)*(-3 + 1 + 0) - 1 + 0 - 1)*(-2*g**4 + 2*g**4 - 3*g**5).\nAnswer: 45*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (-2 + sqrt(12) - (sqrt(3) - (1 + sqrt(12)\/sqrt(4)) - sqrt(3))**2).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-18 + 18 - r**2)*(-3*r + 4*r - 3*r) + 38*r + 3*r**3 - 38*r.\nAnswer: 5*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 168543 = -49*h + 989636. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -2*i - 2*o + 19, -2*i + 10 = o. Solve -2*w = -i*w + 10 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 2192, 8740, 19654, 34934?\n\"Answer: 2183*x**2 - x + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 32 + -29. Suppose s - g*s - 6 = 0, -2*x = -3*s - 135. Let o be (14\/(-5))\/((-6)\/90). Calculate the highest common divisor of o and x.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.11? (a) -0.03 (b) 0.1 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/k**(-1\/2)*k*k*k*k\/(k\/k**10))**(-50)\/(k*k**(-1\/3)\/k*k**(-7)*(k*k\/(k\/k**(-1\/3)))**(-2\/109)) assuming k is positive.\nAnswer: k**(-234673\/327)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -944*w - 8. Let b be v(10). Let q be (-2)\/(-6) - 45145\/3. Let s = b - q. What is s rounded to the nearest one thousand?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4135 and 11005.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6 + -4. List the prime factors of 54\/(-4)*m\/(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 0 + -11?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.29, 4, 1\/9?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -7*z**2 + 17*z - 3. Let s(i) = -33*i**2 + 84*i - 15. Determine 24*l(r) - 5*s(r).\nAnswer: -3*r**2 - 12*r + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1162 a factor of 168910644?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**(1\/7)*i*i*i)\/(i*(i\/i**(-8\/7))\/i)*i**12\/i**(2\/31) assuming i is positive.\nAnswer: i**(432\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -300 divided by 4?\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4 + -1. Let p = -9 + 6. What is the smallest value in 3, p, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(((sqrt(76) - (-1 + sqrt(76))) + -1 - sqrt(76)) + 0 + sqrt(76)*4 + 1))**2.\nAnswer: 300*sqrt(19) + 17125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 880\/9? (a) -1\/2 (b) 1563 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -68*x - 251. Determine v(-4).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6 + 12. Let i(l) = l**3 - 5*l**2 - 4*l - 4. Let d be i(6). Let j be (-3)\/(1 + d\/(-5)). Solve 0 = -4*m - j*z - 5, -r*z + 3*z = 15 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8695582 is divided by 2146.\nAnswer: 2136","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -358 divided by -5?\nAnswer: 358\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -139950, -559808, -1259572, -2239242, -3498818, -5038300?\nAnswer: -6857688","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in eleven halves of a gram?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 60215 to the nearest integer?\nAnswer: 245","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 42 = 12*t. Let g(x) = 8*x**3 + 4*x + 5. Let p(s) be the third derivative of -s**6\/120 - s**4\/24 - s**3\/6 - 3*s**2. Determine t*p(d) + g(d).\nAnswer: 2*d**3 - 2*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 46 + 71 = 0. Let b be (3\/3 - -1)*k\/5. Suppose 4*w = -b*w + 516. What is the tens digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*b - 35 = -23*b. Suppose -2*v = -28 - 16. What is the least common multiple of v\/6 - (-2)\/(-3) and b?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of r**3*t - 1477*r**3 - 10120*r**2*t + 12*r**2 + 3*t + 5 wrt t.\nAnswer: r**3 - 10120*r**2 + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-175 - -1)\/3 + -2. Let i be (-6)\/8 + (-55)\/m. Which is the nearest to 2\/5? (a) -4 (b) 0.4 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7350 by -3675.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 + 6 - 1) + 3 + -1?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((sqrt(352)*-3 - sqrt(22) - sqrt(22)) + sqrt(44)\/(sqrt(8)\/sqrt(4)))\/(sqrt(128)*-1 - (sqrt(200)*-2 - sqrt(200)))*2.\nAnswer: 52*sqrt(11)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z**5 + 0*z + 0*z)*(259 - 59 + 63 + 170 + 52 - 34).\nAnswer: 451*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1 + -2 + 100\/36. Sort 5, 0, f.\nAnswer: f, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -88*w + 78 - 2481 = 61 for w.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1719 + 1718.99998461. Round d to six decimal places.\nAnswer: -0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (f + 2 - 2)*(-1 - 7 + 5)*(3*f - 2*f - 2*f)*(-1 - 2 + 5).\nAnswer: 6*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (12442 - -12)*4 + 14\/(-2).\nAnswer: 3, 16603","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 983\/9 - 109. Let y(d) = -d**3 - 12*d**2 + d + 8. Let q be y(-12). Let o be 10\/(-6)*q\/10. Which is the second biggest value? (a) o (b) 1 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k + 2992. Let s(m) = 6*m**2. Calculate z(s(u)).\nAnswer: -6*u**2 + 2992","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 22\/(-77) + 4\/14. Suppose -2*o = -0*q + 3*q + 16, -o - 2*q - 10 = s. Does 26 divide (-6097)\/(-78) - o\/(-12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - 1 - 6 - (-304 + 303).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1056202841 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(38) + (-1*sqrt(342))\/sqrt(9) - sqrt(38)) + 2*sqrt(190)\/sqrt(5))\/(sqrt(512)*-3*-5).\nAnswer: sqrt(19)\/240","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 50*u**2 - 259365 + 259365.\nAnswer: 50*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 + 3*b**2 - 7*b**2 + 2*b**2)*(3 - 3 - 2*b**3).\nAnswer: 4*b**5 + 16*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 435 and -3?\nAnswer: -1305","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 411 is divided by 16.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 63 divide 3711519?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 815600448 plus -2?\nAnswer: 815600446","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 272 = -5*r, -94 = 4*h + 5*r + 292. Let q = -94 - h. Solve 3*s = -15 - q for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 48 = 2*o, -2*h - o = -7*h + 284. Suppose 18*g = 14*g + h. Calculate the remainder when 22 is divided by g.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2186238 divided by -728746\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 42865*a**4 + 26619?\nAnswer: 171460*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 688773\/4, 5, -13?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0\/(-4))\/(-3*4\/6).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the first derivative of -4*c**2 - 9*c - 26. Is j(-7) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1 - -2. Suppose 5*i - 77 = -2*y, 0*i + a*y = -3*i + 48. Suppose -2*b - 3*b = -i. Solve -5*u = -b*g + 6, -28 = 5*u + 5*g + 2 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*w**3 - 3*w**3 - 4*w**3)*(9 - 2*w - 9 + (-52 + 2 - 35)*(1 - 1 + 2*w) - 4*w + 2*w + 0*w + (-6 + 0 + 4)*(w + 2*w - w) + 2*w - 2*w - 2*w).\nAnswer: 1260*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p**2 + 254*p + 16114. Calculate z(-132).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1167 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: Calculate the highest common divisor of 3079 and 42431699.\nAnswer: 3079","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*j + 2*j + 1634*j**2 + j.\nAnswer: 1634*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-7)\/(-14))\/(1\/(-10)). Let a(c) be the third derivative of -c**6\/120 - c**5\/10 - 7*c**4\/24 - c**3 - c**2. List the prime factors of a(f).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8512060 and 480.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.094 - -0.704. Let t = -1328166.609963 + 1328166. Let f = c + t. What is f rounded to 5 decimal places?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1917*0.04\nAnswer: 76.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -180 - -178. What is the remainder when 78 is divided by (-11)\/g*(-72)\/(-99)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 2*s + 18 = 0. Let v(y) = 7*y + 4 + 0*y**3 - 3 + 7*y**2 - y**3 + 3. Calculate the remainder when v(7) is divided by s.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000019059 to six dps.\nAnswer: -0.000019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*z - 85*z**3 + 5 + 44*z**3 + 39*z**3.\nAnswer: -2*z**3 + 5*z + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 573 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: Simplify ((-5*sqrt(1452))\/sqrt(3))\/(sqrt(6)\/(-4*sqrt(300) + sqrt(3))).\nAnswer: 2145*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the second derivative of -1\/3*g**3 - g**2 - g + 0. Is 6 a factor of w(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/4 + 74\/4. Suppose 0*c - t = -3*c. Let u(o) = 12*o - 49 - o**3 + 41 + 5*o**2 - 4*o. Determine u(c).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 198905 and 2.\nAnswer: 397810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 0 + 12 = -4*j, 4*s - 5*j = -12. Let w be ((-2)\/(-4))\/(s\/(-150)). Solve 0 = 4*z + w - 9 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2 (b) -4\/5 (c) 2.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -149.63*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*g - 5 + 26. Suppose 3*u - 1314 = 4*x + 923, 0 = -4*u - g*x + 2941. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 350 - 356. Let n(o) = -2*o - 12. Calculate n(p).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 289815.\nAnswer: 3, 5, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of o**2 + 9*o**2 - 83 + 13*o**2 + 33 wrt o.\nAnswer: 46*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**3\/5 - 154*s**2\/5 - 1252*s\/5 - 1904\/5.\nAnswer: -2*(s + 2)*(s + 7)*(s + 68)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) 0 (b) -67 (c) 89\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k. Let f(v) = 2*v. Let m(s) = 40*s - 1321. Let g be m(33). Let l be (10\/15)\/(4\/18). Give g*f(c) + l*j(c).\nAnswer: c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*(j*j**(-5)*j*j)\/j)\/(j\/((j**(-1\/3)\/j)\/j))*(j\/j**1)**(-9\/13)*((j\/j**(2\/5))\/j)**(2\/27)*j**(-2)*j**(-1\/7) assuming j is positive.\nAnswer: j**(-7093\/945)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*k + 10*k + 5*y = 93, -2*k + 4*y = 74 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:51 PM and 3:55 AM?\nAnswer: 424","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 754 = 132*y + 48 - 1406 for y.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 29085 + -29084.99829637. Round m to five decimal places.\nAnswer: 0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -34685, 2\/19, 4\/3.\nAnswer: -34685, 2\/19, 4\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 2*g - 2. Let u be l(4). Let v be ((-3)\/2)\/((-1)\/u). What is the greatest common divisor of v and 63?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0010562 to five dps.\nAnswer: 0.00106","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -79690 rounded to the nearest 100?\nAnswer: -79700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cync when four letters picked without replacement from {s: 4, c: 3, y: 9, n: 1, j: 1}.\nAnswer: 1\/1360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -b (base 14) in base 10?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 8*l. Let x(m) = 7*m**2 + 6*m + 4. Let y(g) = -g**2 - g. Let t(z) = x(z) + 6*y(z). Let i(v) be the first derivative of t(v). Give i(b(a)).\nAnswer: 16*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 236335*y - 3*y**2 - 236335*y. Let f(x) = -2*x + 2. Calculate l(f(w)).\nAnswer: -12*w**2 + 24*w - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 5\/223?\nAnswer: 5\/223","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 3797767 to the power of 1\/3, to the nearest integer?\nAnswer: 156","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 44, 27, -2, -43, -96, -161?\nAnswer: -238","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*sqrt(91)\/(sqrt(14)\/sqrt(2)).\nAnswer: 6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x**3 + 532*x**2 - 3156*x - 29. What is i(526)?\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/((-21)\/5097) - 16\/56. Let v = 356 + f. List the prime factors of v.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -18900.22 + 5289?\nAnswer: -13611.22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tt when two letters picked without replacement from tttvtvvttvvttttt.\nAnswer: 11\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 771 equal to 1051?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (90\/72*(-2)\/(-5))\/((-427)\/(-610))\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(1176))\/(sqrt(24)\/sqrt(32)).\nAnswer: 28*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4\/((-16)\/10)*(-52)\/130. Which is smaller: -3\/136 or z?\nAnswer: -3\/136","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -29*y**3 - 8*y + 8. Let c(s) = -86*s**3 - 23*s + 23. Calculate 6*c(q) - 17*k(q).\nAnswer: -23*q**3 - 2*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 658 or 375?\nAnswer: 658","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -2*y**2 + 9*y + 25. Let l(j) = 3*j**2 - 13*j - 38. Let m = 27 + -35. Let x(u) = m*v(u) - 5*l(u). Give x(8).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15, -2\/9, -0.3, 2\/7 in descending order.\nAnswer: 2\/7, -2\/9, -0.3, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.8947971 rounded to 3 dps?\nAnswer: -4.895","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 88116 + 576.57.\nAnswer: 88692.57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -38458 or -38486?\nAnswer: -38486","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1542112022.\nAnswer: 2, 11, 70096001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/3*280\/8*(-11)\/44?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 68 = -6*g + 8*g. What is the common denominator of (1 + g)\/(5 - 9) and 101\/20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(208))*1 - sqrt(208) - (3 + ((sqrt(13) - -1*sqrt(13) - sqrt(13))*-5)**2).\nAnswer: -326","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3524, -5, -3, -3\/46?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n**2 - 115*n + 243. Calculate the remainder when y(-114) is divided by 270.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -45.27 and -0.032.\nAnswer: 1.44864","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:12 PM and 3:49 PM?\nAnswer: 97","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -57259 divided by -1.\nAnswer: 57259","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-16)\/40)\/1 - (-4)\/10. Determine d, given that k - 2*d**3 + 24\/7*d**2 + 8\/7*d = 0.\nAnswer: -2\/7, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:34 PM and 8:14 PM?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (12\/(-22))\/(24\/(-132)). Find v such that 35*v**2 + 2*v**4 + v**4 + 42*v**g - 168*v + 100*v**2 + 342 - 930 = 0.\nAnswer: -7, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0011352791 to four decimal places.\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -80.94 - -81. Which is the closest to q? (a) -1 (b) 1\/8 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 322\/9, 2, 3, 0.019?\nAnswer: 0.019","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 417 = -20*o - 84 - 59 for o.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-7*r + 87 - 71*r + 80*r)*(r**3 - 2*r**3 + 0*r**3) as a*r**3 + f*r**2 + k + c*r**4 + o*r and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7 - 4. Let j(g) be the third derivative of -g**5\/30 + 2*g**4\/3 - 4*g**3\/3 - 3*g**2. Let b be j(6). Solve q*a + s - 4 = -b, 3*a + 2*s + 12 = 0 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 3*t**2 - 13*t - 52. What is the hundreds digit of r(-7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2193\/43*((-4)\/(-2))\/(-6).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -m**2 - 4*m - 3. Let l be p(-3). Suppose 5*h + b - 38 = l, 0 = -5*h + 4*b + 30 + 18. Let o(w) = -5*w - 7. Let r be o(h). Round r to the nearest ten.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -16 + (33 - 10) + -3\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 3*h**2 + 32*h + 83. Let d be l(-5). Let w(o) = -o - 1. Let a(b) = 27. Determine d*w(q) - a(q).\nAnswer: 2*q - 25","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Are 400 and 9827 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y**2 + 831*y - 285024. Determine q(261).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ofmmmfmppmmmfmmo. Give prob of sequence mf.\nAnswer: 9\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 0*x - 8 = 2*x, -2*x = -2. What is the third derivative of 28*z + 9*z**l + 54*z**3 - 26*z - 12*z**3 - 3*z**2 wrt z?\nAnswer: 252","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 2*w + 68 = 0, -3*a - 4*w - 33 = -4. Suppose 0 = -i - 3*p - 4, -4*i - 46 = -0*p - 3*p. What is the units digit of (4\/i)\/(1\/a)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 4058882580?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 6*z**3 - 6*z**2 + 9*z - 5. Let a be x(5). Let v(f) = -f**3 - 3*f**2 + 2*f + 1. Let j be v(-3). Let d = j + a. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 10*h + 9. Let c(r) be the first derivative of -r**2\/2 + 2. Let k(t) = 6*c(t) + g(t). What is the remainder when 82 is divided by k(3)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1653.585 centuries in millennia?\nAnswer: 165.3585","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (8*h + 147*h + 70*h)*(-1 - 2 + 2 - 1 - 3 + 3 + (-5 + 1 + 2)*(0 - 3 + 2) + 0 - 4 + 3) as r*h + v and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -0.4 (b) 0.4 (c) -5 (d) 2366 (e) 123\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.100917 to 2 decimal places.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.181646 rounded to one decimal place?\nAnswer: 2.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o and 1 t when three letters picked without replacement from {k: 1, v: 4, t: 4, o: 2, g: 5}.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 39559 + 246798. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 57\/5 - 243\/20. Let k = -199 + 1789\/9. Which is the third smallest value? (a) i (b) k (c) -0.03\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -b6 - -7?\nAnswer: -ae","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/1071 and -62\/27.\nAnswer: 3213","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - 4*d + 2*d + d + (-3 + 2*d + 3)*(-5 - 7 + 1) to the form l + r*d and give r.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -6*h**2 + 4*h**2 - 3*h + 3*h**2 + 4*h - 9. Suppose 0 = 2*q, 3*z - 2*q - 28 - 62 = 0. Calculate the remainder when z is divided by f(4).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 730 a factor of 47188506?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21 (base 4) to base 3.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 12283, 24564, 36835, 49090, 61323, 73528, 85699?\n\"Answer: -h**3 + h**2 + 12285*h - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 54313 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 7 in -35, 8\/5, 1\/36?\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*q + 5*z + 37, -51*z + 46*z - 21 = 2*q for q.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -7 (b) 2.5 (c) 3 (d) 1474\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 9\/15 - (-4)\/10. Suppose 0 = d + d - 76. Suppose -t - d = -3*x. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1105 and 585?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(12) - sqrt(12)*-2)*-3)\/(sqrt(2688)\/sqrt(7)).\nAnswer: -9*sqrt(2)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -17 + 35. Suppose -g = -4*a + 3*g - 20, -b = 3*a - 2*g. Calculate the remainder when 21 is divided by (-150)\/(-14) + a\/(-28).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -91*f**2 - 87*f**2 + 178*f**2 - 6*f**3.\nAnswer: -6*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 n when two letters picked without replacement from {o: 5, m: 2, n: 6}.\nAnswer: 5\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 3*w**2 + 8*w - 88. Let a(i) = -4*i**2 - 6*i + 88. What is -4*a(f) - 3*o(f)?\nAnswer: 7*f**2 - 88","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -168.45 - -168.38. Sort 1\/7, 2, 409, z.\nAnswer: z, 1\/7, 2, 409","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0 + (-63)\/84 + (-122)\/8. What is the biggest value in 0, x, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n - 40 = -10, -13*n - 28 = -3*p + 108 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i - 98*x + 105*x = -61, 5*i - 4*x - 36 = -x for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1278475953?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 5909 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i**(4\/13)\/i))**(2\/121) assuming i is positive.\nAnswer: i**(4\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(80) + -1))**2.\nAnswer: -32*sqrt(5) + 324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 20 + -12. Let s(z) = -z**2 - z + 6. Let k be s(0). Let d = p - k. Solve -c = -d*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - 0) + -4 + (564 - (-535 - -1093)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1102 and 61538?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 2*v = 10, 0 = -3*k - 5*v - 8. Suppose -5*p + f + 11 = 0, -5*p - 2*f + 5 = -3. Suppose -2*l = 2*q + p, -2*q + 5*q = l - 19. Sort 3, q, k.\nAnswer: k, q, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 + 39 + 20 + -26?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4 + -2. Let z = 152\/9 + -1654\/99. What is the smallest value in i, 0.1, z?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = -4*h + 4. Solve -h*f + 3 = -1 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the second derivative of 0*l**2 - 3*l - 1\/4*l**4 + 0*l**3 - 3. Let i(x) be the third derivative of x**4\/4 - x**2. What is v(i(p))?\nAnswer: -108*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(5)*2)*-5.\nAnswer: -10*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:32 PM and 2:08 AM?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v*v\/v**(-14\/5))\/(v*v**(1\/56)))\/(v*v\/(v*v**(-42))*v*v)**33)**(1\/3) assuming v is positive.\nAnswer: v**(-138247\/280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 u when two letters picked without replacement from {j: 3, o: 1, a: 2, u: 1, r: 3}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1285.905 - 1286. Which is the second smallest value? (a) k (b) -6 (c) 0 (d) -1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 14 + -9. Sort x, 1\/3, -0.5 in decreasing order.\nAnswer: x, 1\/3, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a**3 - 37*a**2 - 99*a + 88. Determine j(-34).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0044 to three decimal places.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 406*l**3*n + 3893*l**3 wrt n.\nAnswer: 406*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 a when two letters picked without replacement from {y: 1, e: 5, v: 3, a: 2, q: 6, c: 2}.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 62 divide 138861?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.12 times 18?\nAnswer: -92.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 22 - -121222210011120?\nAnswer: 121222210011212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 83\/24612804 and -89\/62628?\nAnswer: 24612804","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uw when two letters picked without replacement from uwwuwwjc.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 96400000 rounded to the nearest one million?\nAnswer: 96000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 2 = -2. Suppose -b - 14 = -3*b + 5*t, 0 = -t + g. Is 3 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*o + 5*k - 67, -3*o - 2*k = -88 + 4. What is the tens digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -12 * -129900.\nAnswer: 1558800","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - -10) + -17 + 4?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 25 = 10. Let w(s) = 142*s + 4. Let z be w(9). Suppose 3*k + 3*u - z = -2*u, 4*k + x*u - 1701 = 0. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 20 + -20. Suppose o = -4*i - i + 80. What is the derivative of -8 - k**3 + i*k**2 - 4 - 16*k**2 wrt k?\nAnswer: -3*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in 2\/5, 3, -2, 3185, 7\/26?\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 21 - 17. Find the third derivative of -f**2 + 2 + m*f**2 + 5*f**4 - 2 wrt f.\nAnswer: 120*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r + 8 = -2*r, -2*b - 92 = 3*r. Let u = b - -43. Suppose 175 = u*a + 2*a. What is the greatest common factor of a and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c**3 + 13*c**2 + 27*c + 51. Determine g(-11).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 298532.8 litres?\nAnswer: 298532800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4 and 380.\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 680 and 230360.\nAnswer: 3916120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:37 AM and 6:36 PM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 68923 is divided by 657?\nAnswer: 595","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -3\/2, -720, -2\/9, 2, -2660, -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -21*f**2 - 2501*f - 21*f**2 + 2521*f wrt f.\nAnswer: -84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*sqrt(8)\/sqrt(2))\/(sqrt(180)\/sqrt(10)) + -1*sqrt(72)*2*3)**2.\nAnswer: 25538\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -12 + 214?\nAnswer: 202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (70\/28*-18)\/(-5).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 6, p: 1, a: 3, v: 5, n: 2}. Give prob of picking 1 a and 1 n.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100011001011 (base 2) to base 12.\nAnswer: 1377","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kskkkkkkkskkkskskkkk. Give prob of sequence kss.\nAnswer: 8\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yyyyffzfyu. What is prob of sequence yzf?\nAnswer: 1\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1072086290?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 49995, -2, 44, 5 in increasing order.\nAnswer: -2, 5, 44, 49995","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -r - 3*t + 2, r + 1 = -2*t. Suppose 5*b + r = 5. Solve -c + 5*c - 4 = b for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -17286 divided by -3\nAnswer: 5762","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 3125.6 and -1994?\nAnswer: 5119.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 9) in base 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/8, -3\/11, -1, 15?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 553 is divided by 291.\nAnswer: 262","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/10, 1.12, -6, 4?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the third derivative of l**6\/120 + 17*l**5\/30 - 37*l**4\/24 - 35*l**3\/3 - 3541*l**2. Give i(-35).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -52 + -53?\nAnswer: -a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 19671952 and 233080.\nAnswer: 98359760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 79998.\nAnswer: 2, 3, 67, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00006262 to 6 dps.\nAnswer: 0.000063","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 209787439?\nAnswer: 23, 9121193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 w when two letters picked without replacement from twwwpwwnwntnwrnr?\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 224, 148, 72?\n\"Answer: -76*a + 300","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nmn when three letters picked without replacement from {m: 8, n: 2}.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1988339?\nAnswer: 1988339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 - 71 - (-8 - 2)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 11380 and 159320.\nAnswer: 159320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1975 - -3325. Is s\/18 + (1 - 2)*-2 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -177, 1\/4, 1, 93, -0.04, 3 in decreasing order.\nAnswer: 93, 3, 1, 1\/4, -0.04, -177","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 289130250 a multiple of 50?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, w: 1, a: 1, j: 2, q: 2, l: 5}. Give prob of sequence qj.\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(19))**2*-2 + 2 + (sqrt(19) + -2 + sqrt(19))**2 + -1 + (sqrt(76) - ((-1 + sqrt(76))**2 - sqrt(76)))*6)*2 + -2.\nAnswer: -1068 + 80*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -96*n + 2. Let m be c(5). What is the tens digit of m\/(-6) + 2\/(-3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -4*w**2 - 2. Let p(n) = n**2 + 2*n. Let f(v) = -3*v**2 + 12*v - 5. Let s(k) = f(k) - 6*p(k). Suppose 8 = 5*g + 43. Give g*x(y) + 3*s(y).\nAnswer: y**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4*n - 2*n + 5*n)*(-2 - 2 + 3) - n - 4*n + 4*n - 4*n + 0*n + 5*n - 3*n + n + 3*n + (-4 + 3 + 0)*(-2 + 2 - 2*n))*(-1 + 2 - 2).\nAnswer: -4*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (20\/4 + -3)*1. Solve 2*p + 4*t - 16 = 0, -y*p + 5*p + 8 = 2*t for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 1, 27 in decreasing order.\nAnswer: 27, 3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -58002*k*l + 6*k - 101829*l wrt k?\nAnswer: -58002*l + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -377 - -389 - ((6 - 4) + (-2 - -11))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 0, -4, -8, -12, -16?\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33*z - 4670 - 33*z - 3*z**3 - z**3 + 4644 + 2*z**3.\nAnswer: -2*z**3 - 26","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -146*v - 2862 + 6*v**2 - 6067 - 5*v**2 + 146*v.\nAnswer: v**2 - 8929","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -z**3 - 15*z**2 + 20*z + 74. Let x be i(-16). Let m be 0*1\/x*5. Solve 3*h = -m*h - h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-112)\/(-40))\/((-84)\/(-240)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -w + w**4 - 14586 - 2*w**3 + 14590 + w**2 - 2*w**4 in the form y*w + x*w**3 + r*w**2 + g + t*w**4 and give g.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the third derivative of -7*i**5\/10 + 5980*i**2. Let d(k) = 23*k - 1. Calculate d(s(q)).\nAnswer: -966*q**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9121*-1.064.\nAnswer: -9704.744","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 14*w**3 + 7*w**2 - 4*w - 20. Let x be a(-8). Is (x - (-2 + 7 + -4))*-1 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (5\/(75\/36))\/(15\/350). Let w be j\/21*3\/2. Find the second derivative of -5*u + 2*u - 6*u**4 + 27*u**w + 0*u wrt u.\nAnswer: 252*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 50322347?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = g - 0*g - 2. Suppose 5*f - 4*y - 27 = 0, 3*f + 0*y + 4*y = -3. Solve 0 = g*w + 3 + f for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5553 and 27.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2 + -16. Let b = y + 6. Let s be 1*(0 + 1) + 0. Sort b, -1, s in ascending order.\nAnswer: b, -1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 2*t**2. Let a(j) = -301*j**2. Calculate a(s(r)).\nAnswer: -1204*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -100*y**5 + 352740*y**4 - 333262184*y**3 + 38434722248*y**2 - 15333908724*y + 1532058388 = 0. Calculate y.\nAnswer: 1\/5, 133, 1697","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the first derivative of -2*g**3\/3 + 20*g**2 + 15. Let m be t(20). Suppose 2*k - 5*z = 170, m = 4*k - 5*z + z - 340. List the prime factors of k.\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the second derivative of x**5\/30 + x**4\/18 - 2*x**3\/9 + 6*x. Factor a(i).\nAnswer: 2*i*(i - 1)*(i + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(26)\/(-4*sqrt(288)))**2 + (((sqrt(65) - sqrt(65)*1)*2)\/((sqrt(165)\/sqrt(3))\/sqrt(11)))**2.\nAnswer: 13\/2304","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 156 and 20476?\nAnswer: 798564","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 62 - 15. Let v = o + -7. What is the tens digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 0 - -1446154412?\nAnswer: 1446154412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -137, -135, -131, -125?\n\"Answer: a**2 - a - 137","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 5311413132?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 16\/(-14)*(-21)\/6. Let v(z) = -z**2 - 14*z - 21. Let i be v(-11). Solve j = 4*f + i for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 31132 and 116616?\nAnswer: 21107496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 25.946242 rounded to 1 dp?\nAnswer: 25.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3\/70 (b) 0.06 (c) -49 (d) -17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -i**2*m**2 + i**2*m - i**2 - 30410*i + 5390448*m**2 + 110 wrt m.\nAnswer: -2*i**2 + 10780896","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:16 AM and 11:46 AM?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 423 + -307. Solve -128 = 3*y - s for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (13 - (9 + -7 + 4)) + (-91 - 38).\nAnswer: -122","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -26*179\nAnswer: -4654","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 4323 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: Let u be (50\/20)\/((-2)\/(-4)). Suppose -k - 4*k = -2*s - 290, u*k - 325 = -5*s. Calculate the highest common divisor of 15 and k.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.5, 3, -0.3, -2\/9, 3\/19?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 120 divide 1316880?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -342, -377, -410, -441, -470, -497?\nAnswer: -522","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -24 + 41. Let o be 33 - (-1)\/(-8 - -9). Suppose -o*l = -38*l + 188. What is the remainder when l is divided by u?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -934*z**2 + 3 + 1 + 900*z**2 - 4.\nAnswer: -34*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (-2 + -3 + (4 + (1 + 1*sqrt(243))*4)*5)**2.\nAnswer: 12600*sqrt(3) + 98423","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the second derivative of 11*a**4\/4 - 57*a**3\/2 + 15*a**2 - 4*a + 31. Factor n(j).\nAnswer: 3*(j - 5)*(11*j - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d**3 + 2*d**2 - 2*d - 2. Let u be h(2). Let w = 28 - u. Let n(m) = 34*m**2 + m + 1. What is the remainder when n(-1) is divided by w?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6417 + 6421. Let p = -0.45 - 63.55. Sort 1, o, p, 3\/4.\nAnswer: p, 3\/4, 1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/5, 0.3, -1\/5, 5, 2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 181 * -0.4\nAnswer: -72.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -55584 divided by 352.\nAnswer: -1737\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 61.6+-9\nAnswer: 52.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 336 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -16.022 + 18.8365. What is d rounded to 2 dps?\nAnswer: 2.81","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 525 minutes before 3:50 PM?\nAnswer: 7:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 210 - 235. Let k(i) = i**3 + 25*i**2 - 5*i + 1. Does 9 divide k(x)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kfazb. Give prob of sequence fkz.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -289 times 0.02\nAnswer: -5.78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -413784\/11 less than or equal to -37617?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.3876 + 1.4934. Round p to 1 dp.\nAnswer: 1.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 0*l + 91 = l, 0 = 4*p + 4*l + 116. Let y be (p\/(-14))\/((-2)\/(-14)). What are the prime factors of 56\/y*(-6)\/(-4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1572.162 rounded to the nearest 100?\nAnswer: 1600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 664\/22 + (-2)\/11. Suppose -6*d = -d - j. Suppose -d*m - 12 = -2*m. Which is greater: m or -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2\/55, 2, -5, -14.2, -0.3, -2\/11, 30?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = -d + 7796, 4*l - 2*d + 2734 = 8982. What is l rounded to the nearest 100?\nAnswer: 1600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 124*w**2 - 2*w - 3. Let n be i(-5). Suppose 7864 = 9*o - n. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-309)\/(-2060))\/(4\/(-10))?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 156073 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ohrfloaoolrl. Give prob of picking 1 o, 1 l, and 1 a.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -8*j**2. Let t(g) be the second derivative of 11*g**4\/4 + 58*g. Determine -21*q(h) - 5*t(h).\nAnswer: 3*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*l + 5*u + 105 = -4*l, 3*l + 5*u - 70 = 0. Solve 40*y - 75 = l*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*h**3*v - h**3 + 337*h**2*v + h*v + 13962*v wrt h.\nAnswer: 24*h*v - 6*h + 674*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*q, 3*f + 0*f - 1740 = 5*q. Let c be f\/30 - 4\/(-6). Let r = c - 4. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*u**2\/5 - 386748*u + 30938816\/5.\nAnswer: 4*(u - 483419)*(u - 16)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*x + 6*x - 4*x)*(370*x**2 - 775*x**2 + 600*x**2).\nAnswer: 975*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 129.4 - 118. Let u = -11 + r. Is -3\/2 bigger than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - 3 - 5532\/(-2305).\nAnswer: -18\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -264697.3 to the nearest one hundred thousand.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -35*m - 1. Let k(l) = -610 + 307 + 308 + 66*l + 109*l. What is 11*b(n) + 2*k(n)?\nAnswer: -35*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5784245 is divided by 94823.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q**3 + 45*q**2 + 41*q - 131. Determine d(-44).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 299 - 180*m**2 + 62*m**2 + 4*m - 3*m - 296 + 0*m wrt m.\nAnswer: -236","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12001121 (base 3) to base 6.\nAnswer: -25024","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 2*a - 17. Suppose -5*f + 0*f = -20. What is the units digit of (a\/(-6))\/(f\/(-18))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -183.61 to the nearest ten.\nAnswer: -180","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 27? (a) -1 (b) -2\/15 (c) -32\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in 8\/7, -3, 2\/15, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*m - 44*m = -175 for m.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 63526 is divided by 828?\nAnswer: 598","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Is 483427 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -134 - -153. Suppose -5*q = 5*b - 100, -q - b - 72 = -4*q. Let r = q - x. What is the greatest common divisor of 12 and r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -8.4 and -79081.2274.\nAnswer: -79089.6274","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6 + 25. Suppose t - 3*m = -2*t + 3, 3*m + k = -t. Is t\/4*(-1 + -30) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 minutes after 3:30 AM?\nAnswer: 4:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.49376 rounded to one dp?\nAnswer: 8.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u - 15 = -3*g, 3*g + 0*u + 3*u = 9 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 0 - (-9 - -14 - 1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 5 - 2*g + 3 + (11*g - 1 + 1)*(0 + 4 - 3) in the form k*g + q and give q.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y - y**3 + 0*y**2 - 5*y**2 + 3*y**2. Let k(g) = -g**2 + 1. Let u be k(-2). What is the units digit of x(u)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1563522, 1563523, 1563524, 1563525?\nAnswer: 1563526","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 - -2 - (54 - -4 - 4) - (19 + -15).\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.261 + 2.975. Round o to one decimal place.\nAnswer: 1.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37183693151 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -6*p**3 - 4*p**2 + 7*p + 3. Let v(g) = 3*g**3 + 2*g**2 - 4*g - 2. Determine -4*b(c) - 7*v(c).\nAnswer: 3*c**3 + 2*c**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14228\/254 + (-2531 - -2475)?\nAnswer: 2\/127","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from umuruuuuu. Give prob of picking 3 u.\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = -4*z + 11, -3*z = -2*z + 5*a + 2. Suppose f + 3*f + 17 = -5*j, z*f = -j + 1. Suppose 951 = f*v + v. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1901 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n = 3, 6*n = 4*f + 2*n - 12 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a**5\/5 + 151*a**4\/5 + 1123*a**3 - 1427*a**2 - 50616*a\/5 + 51984\/5 = 0. Calculate a.\nAnswer: -76, -3, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -2*c**2 + c. Let z be l(2). Suppose -5*i - 3*h = -12, -i + 106 - 126 = -5*h. Sort z, i, 6, -1.\nAnswer: z, -1, i, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 176 - -232. Suppose -5*a + 23 - c = 0. Let l = -53 - a. Is 7 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aacxxaaxxcaaaxx. What is prob of sequence xac?\nAnswer: 2\/65","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -3 - ((-15)\/(-5) + -3). Let n(b) = b**3 - 4*b**2 - b + 5. Let q be n(4). Let g = -2 + q. Is g <= u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 680*s - 8584. What is y(14)?\nAnswer: 936","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 507930852 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(112)*4*-6 + (sqrt(112) + 0)*3))**2.\nAnswer: 790272","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4)\/2 - (-105)\/21. Suppose 0 = 5*z - 4*v - 119, -3*z - w*v = -41 - 25. What is the remainder when 113 is divided by z?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 26884, 240, -2 in decreasing order.\nAnswer: 26884, 240, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 68618 + -26486533\/386. Let y = r + 15721\/2702. What is the common denominator of 56\/5 and y?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9 - 22190368*w - 26312027*w + 9.\nAnswer: -48502395*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -r**2 + 9*r - 8. Let g(x) = 0*x**2 + 2 + x**2 - 5*x - 2*x**2. Let b be g(-4). Calculate the remainder when y(b) is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/((c**(-1)*c)\/c))**(-11\/3)*c**2\/c*(c*c**5)\/c*c assuming c is positive.\nAnswer: c**(-1\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*g**3 - 4500*g**2 - 2165319*g - 327183462.\nAnswer: -3*(g + 306)*(g + 597)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1065 is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8976)\/(-1224))\/(14\/(-9)*(-36)\/24).\nAnswer: 22\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (4 + -1)*4\/24*8. Solve 5*m - 4*d - 16 = 0, 5*m + 2*d - d + k = 0 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 0 - 1)*(2*v - 6*v + 2*v) + 774*v + 88 - 176 + 88 + 6 - 6 - 9*v + (v - 3*v + v)*(0 + 1 + 0) as z*v + b and give z.\nAnswer: 768","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 34495.16 grams in nanograms?\nAnswer: 34495160000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g**3 + 10*g**2 - 11*g - 1. Suppose 5*q - 34 - 6 = 0. Does 13 divide d(q)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the first derivative of 7*m**4\/20 - m**3\/5 - 33*m - 20. Let c(w) be the first derivative of l(w). Find i, given that c(i) = 0.\nAnswer: 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 74844256 less than -0.2?\nAnswer: -74844256.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.457439 millimeters in meters?\nAnswer: 0.001457439","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 25.53 - -2.27. What is q rounded to 0 dps?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*z + 5*z = 0. Is z < -1\/257?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k + 6. Let s be t(1). Let z(u) be the second derivative of 5\/42*u**7 + 5\/6*u**6 + 0*u**2 + 9\/4*u**s + 5\/3*u**3 + 35\/12*u**4 + 0 - 9*u. Factor z(n).\nAnswer: 5*n*(n + 1)**3*(n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 634383 to the power of 1\/3, to the nearest integer?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -23*w + 44*w - 41244. Is 98 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.67 + 23.67. Which is smaller: m or -0.45?\nAnswer: -0.45","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5\/41 (b) 0.3 (c) -3 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 72950369243 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 3*y + 5. Let b(k) = 16*k + 24. Let q(j) = -3*b(j) + 14*w(j). Let m(x) = 4*x**2. Give q(m(p)).\nAnswer: -24*p**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ci when two letters picked without replacement from {i: 10, c: 4, t: 2}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 465 a factor of 988720124?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 20636 and 457820?\nAnswer: 214717580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 14\/77 - 62\/(-22)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/1183 in 4, -2\/11, 2\/3, -27?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -186 divided by -1.\nAnswer: 186","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r**3\/9 - 2*r**2\/9 = 0 for r.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*w - 52 = -8. Sort -1, 26, w, -9 in descending order.\nAnswer: 26, w, -1, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(110) + sqrt(110) + (sqrt(110) - -2*(sqrt(110) - 2*sqrt(110)) - sqrt(110)) - sqrt(110))\/((sqrt(100)\/sqrt(2))\/sqrt(5)).\nAnswer: -sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 14958*s - 16001*s - 38591 for s.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 148*a + 5 = 143*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -9*m + 108. Let y be s(-10). Suppose -3*w = 5*a - y, 16*w = -3*a + 20*w + 113. Calculate the smallest common multiple of a and 30.\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -210 and -10231506589?\nAnswer: 10231506379","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 464 - 485.98. What is f rounded to one dp?\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 95, -1\/4, 4\/5, -0.15, 5.\nAnswer: -1\/4, -0.15, 4\/5, 2, 5, 95","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the second derivative of o**4\/12 + 5*o**3\/6 - 5*o**2\/2 - 2*o. Let f be j(-5). Let u = f + 8. Solve 4*m - 5 = c, -5*c = 2 + u for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -2*f - 82 - 72 + 194. Let u be m(2). Calculate the greatest common divisor of 189 and u.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from alaassvaaaabaavaaaaa. What is prob of sequence bsvv?\nAnswer: 1\/29070","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37853*p + 24847 - 24847.\nAnswer: -37853*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 3, c: 7, e: 9}. Give prob of picking 2 e.\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6 + (-168)\/(-44))*1276\/(-232) + (-137)\/12?\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/549 and 6\/3355?\nAnswer: 30195","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*h + 569 = 2*h - 4*b + 585, 3*h = 16*b - 74 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -194*p + 66*p + 66*p + 73*p.\nAnswer: 11*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4 - 595ca0?\nAnswer: -595ca4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 42*a**2 - a + 5. Is t(4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 249 in -2\/3, 1\/6, -0.06?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 37*h**3 + 26*h - 70. Let n be y(7). Suppose -n = 36*i - 63167. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 135248 times -1.8\nAnswer: -243446.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*x**5\/3 + 2408*x**4\/3 + 4828*x**3\/3 + 2416*x**2\/3.\nAnswer: -4*x**2*(x - 604)*(x + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -18647640 divided by -1980?\nAnswer: 9418","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -17*m + 20. Let y(l) = 6*l - 7. Let w(b) = 0*b**2 + 3 + 3*b**2 + 8 - 4*b**2 + 7*b. Let x be w(7). Give x*y(d) + 4*k(d).\nAnswer: -2*d + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 4, g: 5, b: 1, v: 8}. Give prob of sequence rb.\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 18880\/3861 - 63\/13. Which is smaller: 0 or p?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 352 and 6047162.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5 - 7*y + 8 - 10 + y + 4 - 4 + 3 - 3 + 2*y - 2*y - y + 5*y + (3*y + 0*y - 2*y)*(5 + 0 - 4).\nAnswer: -y + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 1 - (-8 - (-28 + -4 + 2 + 2))\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o*o*o\/(o\/o**(2\/7)))\/o)**(-2\/19))**(-5\/12)*((o*(o**(-2\/5)*o)\/o)\/(o*o**(3\/2)))\/(o**3*o**2) assuming o is positive.\nAnswer: o**(-4551\/665)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 62?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 5, 152, 1, 13, -12 in decreasing order.\nAnswer: 152, 13, 5, 1, 0, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1391 and 1070?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/(-4))\/(2943\/(-872)).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 16, 21, 28, 37, 48, 61, 76?\n\"Answer: u**2 + 2*u + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**2\/9 - 92*z + 9522.\nAnswer: 2*(z - 207)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(540)*-2 + sqrt(540) + (sqrt(15) - sqrt(60)*2))\/(4*sqrt(80)*6))**2.\nAnswer: 27\/1024","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1851824?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5290441319.\nAnswer: 29, 5393, 33827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -75 - -81. Calculate the common denominator of (-3)\/u - 1840\/(-224) and 137\/6.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (105*86\/487620)\/(-2*(-18)\/8 + -4)?\nAnswer: 1\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-seven fifths of a centimeter in millimeters?\nAnswer: 74","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -770, -1149, -1434, -1625, -1722?\nAnswer: -1725","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:16 AM and 7:25 AM?\nAnswer: 249","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00040919 to 4 decimal places.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 minutes before 6:08 AM?\nAnswer: 3:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7193 - 7181. Suppose 3*n - 5 - 10 = 0, 4*n = f + 12. What is the smallest common multiple of f and a?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m**3 + 12*m**2 - 8*m - 5. Let v be o(11). Let n = 50 - v. What is the smallest common multiple of n and 4?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 203 = 5*t. Calculate the remainder when t is divided by 1\/4 + (-39)\/(-4).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o + 2. Let b(i) = -i + 1. Let z = 15630 + -15626. What is z*b(v) - 5*g(v)?\nAnswer: v - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the third derivative of 0*j**5 - 1\/6*j**3 + 37\/120*j**6 + j**2 + 1\/24*j**4 + 0 - 70*j. Find the second derivative of a(x) wrt x.\nAnswer: 222*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4003?\nAnswer: 4003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29*i**2 - 5 + 5 + 28*i**2.\nAnswer: 57*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 129 - -10?\nAnswer: 139","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -24*33\/(-792)*-27?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 48 + -15. Suppose 5*x + k - 13 = 0. Suppose n - 5*w = 9, 0*n = -2*n + 4*w + 12. Put x, n, 2 in descending order.\nAnswer: n, 2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + 4 + 4 - (0 + 0) - 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 16.986 rounded to 1 decimal place?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -245.8511 rounded to the nearest 10?\nAnswer: -250","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-2*(5 + 3 + 3*sqrt(128)*2 + -2))**2.\nAnswer: -74304 - 9216*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/(3\/(-234))*(-54)\/162. Solve 0 = -14*p + 17*p - 5*i + z, 16 = 2*p + 5*i for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 162*o**2 - 468*o - 48. Calculate a(3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = -5*y - 6846, -422*y + 417*y + 6826 = 2*o. What are the prime factors of o?\nAnswer: 2, 1709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = -613 + 85. Let i = 179 + h. Solve 6 = 3*q + i for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) -1984 (b) 3 (c) -1.7 (d) -1\/12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 491, 2, 3, -3 in ascending order.\nAnswer: -3, -2, 2, 3, 491","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1065)\/(-6)*-4 + (-6 - -3). Let s = 717 + u. Solve -2*t - 5*j = -5, 0 = -4*t + j + s*j - 5 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a, 2 o, and 1 u when four letters picked without replacement from {u: 1, a: 2, o: 5, y: 1, f: 3, s: 3}.\nAnswer: 4\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:13 AM and 9:17 AM?\nAnswer: 244","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -121*p**2 + 136 + 1289 - 656*p**2 wrt p.\nAnswer: -1554*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-2)\/2)\/((-76)\/2356). Let a(g) be the first derivative of m + 0*g - 14\/5*g**5 + 0*g**4 + 0*g**2 + 35\/3*g**3. Find the third derivative of a(y) wrt y.\nAnswer: -336*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3 (b) -169 (c) 1\/3 (d) 2 (e) 2\/9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 946520.8 nanograms in kilograms?\nAnswer: 0.0000009465208","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -2479*s. Let k(n) = 2*n. Give j(k(w)).\nAnswer: -4958*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -72\/3431365 and 23\/23068.\nAnswer: 13725460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -366\/7*w**3 - 1\/7*w**4 - 33121\/7*w**2 + 67344\/7*w - 33856\/7.\nAnswer: -(w - 1)**2*(w + 184)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2101122 - 22112?\nAnswer: -2201011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 22 and 8217?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2549, 5687, 9415, 13733, 18641, 24139?\nAnswer: 30227","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 3) to base 8\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 49*t + 25*t - 66*t to h*t + v and give h.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s + 35 = 25 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 137\/624 and -41\/2064?\nAnswer: 26832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (0 + 0)*(-3 + 2). Suppose 0 = 3*h - m - 6. Calculate the remainder when (h\/(-3))\/(6\/(-45)) is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from miiimvivmiivvi. Give prob of picking 1 m and 1 v.\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4 + -1*(2 - -2). Suppose 3*u + 0*u + 6 = l. Is u at least -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*t = -3*q - 36*t - 87, 2*t + 45 = -q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2973 - -1?\nAnswer: 2974","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 910 divide 47251750?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2035?\nAnswer: 5, 11, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 58\/2 - (12 - 9). Suppose -4*n = -2*p - 1254, 3*p - 2493 = -8*n + 2*p. What is the highest common factor of m and n?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -117*j - 113*j - 305 = 3375 for j.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v + v**3 - 1 + 3825*v**2 - 3825*v**2. Let q(r) = 4*r**3 - 4*r - 5. Let n(h) = h**3 - 7*h**2 + 6*h - 6. Let a be n(6). Calculate a*m(l) + q(l).\nAnswer: -2*l**3 + 2*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ffl when three letters picked without replacement from qtqftltlqlqztftffk?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*a + 3, 4*k + 3936006*a = 3936005*a - 29 for k.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Are -2 and -129\/61 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -10512.2698 - -10509. Let g = v - -3.18. Round g to 3 decimal places.\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15661 < 15663?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 16.69 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 2*b + 2*n, 2*b + n - 31 = -4*n. Let o(u) = -4 + 2 + 1 + 3 + b*u. Let f be 12\/20 + 66\/(-10). Calculate o(f).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*p**5 + 2*p**3 - 79088*p**2 - 204311*p + 1?\nAnswer: 40*p**3 + 12*p - 158176","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -116995117*w**2 - 436*w - 51235 wrt w.\nAnswer: -233990234","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -15 - 17 + 34 - 38*a + 36*a**2 wrt a?\nAnswer: 72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -51641 - -115014. What is the units digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 4*y - 20 = -l, y + 28 = -5*l. Let v(h) = -h**2 - 9*h - 14. Let q be v(l). What is the derivative of 12 + 14*c**4 - 22*c**q + 30*c**4 wrt c?\nAnswer: 88*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -r**2 - 2*r + 1. Let g be y(-2). What is the remainder when 30 is divided by (3 + g)*(2 + 0)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 5*g + 4*b - 0, 4*g - 8 = -4*b. Let x be 4\/(-6)*g + -1. Suppose 4*r - x = 2*f - 5, 4*r = -4*f + 44. Solve 0*j + f = 4*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 > 0.03912?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5.1 - -1.1. Let b = 1.4 + -0.4. What is the nearest to b in r, -1, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*i + 40 - 52. Let u be 3 + 0\/((-8)\/i). Solve 0 = -6*g + u*g - 15 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -8*(8\/(-36) - (-111)\/(-108)). Solve -t = m*t - 44 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m**3 + 4*m**2 + 4*m. Let l be a(-2). Suppose l = -29*q - 3*q - 1856. Is q less than -59?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1789446949 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4418 = 77*l - 1492 for l.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*x + 31 = 135. Suppose 8810 = 2*b - 4*z, -11 = z - x. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 2 f when three letters picked without replacement from {l: 1, s: 1, f: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*(-24)\/(-108)*(-18)\/(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s and 2 x when four letters picked without replacement from {s: 6, x: 6}.\nAnswer: 5\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 - 5 - 2*t)*(-3 + 7 - 2)*(-6860 - 30255*t + 6860)*(2 + 0 - 1) to q + y*t + u*t**2 and give u.\nAnswer: 121020","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 51*z - 52. What is c(-2)?\nAnswer: -154","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 169861, 679264, 1528263, 2716858?\nAnswer: 4245049","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -10563.1 - -10563. Let n = -0.8 - -0.4. Which is the closest to 4? (a) 0.4 (b) n (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 29 and 2194658092.\nAnswer: 2194658121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/5)\/(2301\/590)?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -7*o - 13. Suppose -4*q + 2*t - 20 = 0, -4*q + t - 48 = -26. Determine x(q).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -45.1 - -44. Let r = -2.5 - -3.6. Let l = r + p. Which is bigger: l or -0.1?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the third derivative of -1\/30*g**6 + 0*g + 1\/105*g**7 + 0*g**4 + 55*g**2 + 0*g**3 + 2 + 1\/30*g**5. Factor b(d).\nAnswer: 2*d**2*(d - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7 + 9. Suppose -r*l = -12 + 2. What are the prime factors of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2040231 (base 6) to base 4\nAnswer: 120010123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -250 - 146*i + 144*i + 141 + 73.\nAnswer: -2*i - 36","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*q - 3*q + 24. Let j(f) = f**3 - 9*f**2 + 9*f - 6. Let t be j(q). Let a(i) = 3*i - 9 + 18 - 7. Determine a(t).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 4, -30, -87, -1, 1 in decreasing order.\nAnswer: 4, 2, 1, -1, -30, -87","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*a**5\/7 + 12*a**4 + 718*a**3\/7 - 12*a**2 - 720*a\/7 = 0. Calculate a.\nAnswer: -30, -12, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 2 + 3)*(0 - 2 - 4)*(k + k + 0*k) in the form g + a*k and give a.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18427423.\nAnswer: 7, 31, 84919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 - (7 - (-4 - -9)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 167 - (-5 + (-3)\/(-1)) is divided by 34.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a + 23. Let z be b(13). Suppose 4*n - z = -p + 1, -7 = -3*n - p. Factor 3*d**3 - 4*d**n + 13*d**4 - 4*d + d**5 - 13*d**4 + 4*d**2.\nAnswer: d*(d - 2)**2*(d - 1)*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by -1185?\nAnswer: -1\/395","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 205836859?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -4 + (-1 + sqrt(51)\/sqrt(3))**2.\nAnswer: -2*sqrt(17) + 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v. Let b(j) be the second derivative of j**6\/240 + j**5\/60 + j**4\/6 - 3*j. Let k(g) be the third derivative of b(g). Give k(f) + 5*m(f).\nAnswer: -2*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 181*b**2 - 733*b - 1471. What is the tens digit of r(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7279 to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -88 + 131. Let p = -32 + t. Let g(a) = -5*a + 5. Let q(u) = 9*u - 9. Calculate p*g(b) + 6*q(b).\nAnswer: -b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8187603 weeks in microseconds?\nAnswer: 495186229440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 10536 less than 10590?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -545 + 550. Solve -5*o - 4*f - 2 - 3 = 0, -j = -3*o - 4*f for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26586 divided by 4431?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -1 + sqrt(5) + (sqrt(5) + 4 + sqrt(45))**2.\nAnswer: 33*sqrt(5) + 99","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**(-1\/5))**(2\/61))**40\/((u\/(u\/(u**1*u)))**(7\/5))**(2\/135) assuming u is positive.\nAnswer: u**(41492\/41175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 6*b**3*n + 4*b**2*k - 48*b*k - 2*b*n - 2*k*n + 2*k - 64*n + 36 wrt b?\nAnswer: 18*b**2*n + 8*b*k - 48*k - 2*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/6*2\/(-7)\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((0 - -3) + -3073)\/(29\/(-116)).\nAnswer: 2, 5, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -2*57\/24 + 5. Which is the closest to -2\/5? (a) -0.4 (b) h (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2\/61 - -93\/976. Let x(f) be the third derivative of 3*f**2 + b*f**6 + 1\/20*f**5 + 0*f + 0*f**4 + 0*f**3 + 0. Factor x(o).\nAnswer: 3*o**2*(5*o + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 5*l + 36*l - 9*l. Let p(y) be the first derivative of 0*y**2 + 40 + 22 + y**2 + 121. Determine p(u(j)).\nAnswer: 64*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5658 + -5657.88. Which is the fourth biggest value? (a) 0.1 (b) 2 (c) l (d) -1 (e) 1.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 560281 and 89262?\nAnswer: 471019","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 313430 is divided by 156344?\nAnswer: 742","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y**2 - y. Let c(r) = 4*r**2 - 6*r + 3. Let x(v) = -v**2 + 9*v - 9. Let q be x(8). Determine q*c(n) + 6*l(n).\nAnswer: 2*n**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -68810749\/30138 - -112\/5023. Let t be (-4583 - 6\/2)\/(-2). Let w = t + p. Find the common denominator of w and 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y + 3705 = 2*g + 3702, 6*g + 6*y = 2*g - 74 for g.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h - 1. Let f(p) = -p**2 - 7*p + 6. Let i(v) = -f(v) - 6*q(v). List the prime factors of i(-4).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-24)\/21 - -2)*-7. Let y = a - -10. Solve -2*q + 2 = n, 4*n + y*q - 2 = 6 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 980*w**2 + 131 wrt w.\nAnswer: 1960*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:13 AM and 5:20 AM?\nAnswer: 127","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/(-8))\/(9\/12)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/((((c\/(c**(1\/6)*c))\/c)\/c)\/c))**(-9\/2)\/(c**(-3\/13)*c*c**(-7)))**(8\/11) assuming c is positive.\nAnswer: c**(-1302\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12 - (-14 - -4 - -14)) + 1 + 0.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 189 divide 232888?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 205*a**2 - 408*a**2 + 208*a**2.\nAnswer: 5*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7260*c - 2 + 8550*c + 4 + 3564*c**2 wrt c?\nAnswer: 7128","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 16620 and 8310?\nAnswer: 16620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 171198, 171201, 171204, 171207?\n\"Answer: 3*t + 171195","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 175, 182, 189, 196, 203, 210?\n\"Answer: 7*g + 168","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-2)\/3)\/(8\/(-60)). Let l(s) = -i*s - 6*s + 4 + 10*s. Give l(4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 2989.440408 and 21.313.\nAnswer: 3010.753408","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 6*n**3 + n**2 - 3*n. Let z(b) = -13*b**3 - 2*b**2 + 7*b. Suppose 0*u + 4 = u. Let t be (-8)\/u*(0 + 2). Determine t*z(g) - 9*l(g).\nAnswer: -2*g**3 - g**2 - g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 163776 and 3310203?\nAnswer: 3146427","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2819?\nAnswer: 2819","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, -2\/7, -12\/7, -9, 63 in decreasing order.\nAnswer: 63, -2\/7, -0.5, -12\/7, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (28\/8)\/((-1)\/(-2)). Let p = 11 - x. Suppose 0*v = p*v. Solve -1 = l + 4, 5*n + 3*l + 15 = v for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p - p + 0*p - 3*p - p + 2*p + (2*p + p - 4*p)*(1 - 4 + 4) - 34*p - 16 + 16)*(-2*p - 2 + 2).\nAnswer: 78*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1957465?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 182763?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 94*c - 23*c - 13*c - 14*c - 18*c - 9*c - 13*c.\nAnswer: 4*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 42512849.000031 + -42512807. Let t = -63 + 105. Let i = t - d. Round i to five decimal places.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r. Let s be x(8). Let k(w) = w**3 - 9*w**2 + 9*w + 7. Let i be k(s). What is the greatest common factor of 15 and i?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1 + -16386b?\nAnswer: -16386a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -44 + 82. Let v = j - 27. Let k(b) = -13*b - 18*b**3 + 38*b**3 - v*b. Let y(n) = 4*n**3 - 5*n. Determine -5*k(x) + 24*y(x).\nAnswer: -4*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 396075258?\nAnswer: 2, 3, 2444909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 times -972?\nAnswer: 20412","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1499958707?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -5058117, -5058115, -5058113?\n\"Answer: 2*l - 5058119","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.843 (b) -1\/3 (c) 0.1 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01004 to four dps.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1152972138 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 54205779 and 69?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) 7\/2 (b) 5 (c) 28.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-4))**(-36)*(y**(-2\/5))**(-14\/5) assuming y is positive.\nAnswer: y**(3628\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*h - 3*h. Solve h = 2*f + 4 - 8 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.294 + -1.194. Which is the nearest to z? (a) -0.4 (b) 2 (c) -5 (d) 28.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2945 is divided by 67.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 68\/85*(-10)\/(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m*(m\/(m\/((m\/(m**(3\/16)\/m*m)*m)\/m)))\/m)\/(m*m**(-1\/19)*m*m)*m**(3\/14)\/m**(-29) assuming m is positive.\nAnswer: m**(59753\/2128)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 744\/(-651)*(-14)\/8\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (28\/(-770))\/((-1)\/(-5)). Sort -0.01, 3, l in descending order.\nAnswer: 3, -0.01, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 59309 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1025 - -1023. Which is the biggest value? (a) -0.3 (b) q (c) -1\/29\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1231 - -11?\nAnswer: -1220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z**3 + 34*z**2 + 66*z + 309. What is the thousands digit of r(-29)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.32041606 to four decimal places.\nAnswer: 1.3204","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = f - 6*f + t - 11, -2*t = -2 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -176*k - 107 = 50*k - 2141 for k.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 702 is divided by 97?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l**2 - 2*l + 281. Let m be i(0). Let h = m - -10. Round h to the nearest one hundred.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 20431 - 2?\nAnswer: 20427","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c + 2*c = 5*c + 80 for c.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(3 + (2*sqrt(85))\/sqrt(5))**2 - ((sqrt(17) - 1*sqrt(1377))**2*4 + -1).\nAnswer: -4813 - 72*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/2 of a millennium in years?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 1, -6, 1.2, 5, -19675 in ascending order.\nAnswer: -19675, -6, 0, 1, 1.2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -70?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*c**2 - c**2 - 2*c**2 + 10*c**2.\nAnswer: 5*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 34 and 16507.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 12\/23 or -95768?\nAnswer: -95768","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 895*j - 892*j. Suppose 45*z - 50*z + 990 = j. Is 16 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1019.42707 rounded to the nearest one hundred?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: What is -230195 divided by -46039?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -203*s + 165 = -241 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + 4 + 37 + 713288\/(-22168).\nAnswer: -3\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.2, -12098, 13?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bbb when three letters picked without replacement from baababa.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the third derivative of 0*b**5 + 0*b**6 + 0 - 23\/336*b**8 + 29*b**2 + 13\/24*b**4 + 0*b**3 + 0*b + 0*b**7. Find the second derivative of s(t) wrt t.\nAnswer: -460*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 15851.5 - 15851. Let o be 1\/2 + (-5)\/14. What is the smallest value in o, 6, 2, u?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*t**4 + 0*t**4 - t**4 + 4 - 3*t**4 - 4 + (-2*t**2 + 5 - 5)*(-2*t + 2*t - 2*t**2) - 6*t**4 + 3*t**4 + 2*t**4 + (-1 - t + 1)*(-5*t**3 + 0*t**3 + 3*t**3).\nAnswer: -2*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the second derivative of 86\/3*r**3 - 3*r**5 + 0*r**2 + 0 + 31*r + 0*r**4. What is the second derivative of n(q) wrt q?\nAnswer: -360*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a tonne in kilograms?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-6)\/5)\/(11 + 331\/(-30)). Solve -181*q = -172*q + l for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -102033355 (base 6) to base 10\nAnswer: -1777607","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -10.88 - -11. Let j = -0.02 + g. Which is smaller: 3\/5 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1374 divided by -263.\nAnswer: -1374\/263","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 14 - 10 - 2*p + 11. Let q be v(10). Which is the second biggest value? (a) 1 (b) q (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 2*k = 1, 3*i - 4*k = 2*i - 1. Suppose -13 = m - 9. Put -3, m, i in increasing order.\nAnswer: m, -3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-60)\/8*3\/(-18)*-4.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g - 3. Suppose 13*s = 12*s. Let b(k) = -k. Let d be b(s). Give n(d).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23506993 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z**5\/9 + 767422*z**4\/9 - 73621286350*z**3\/9 + 809722110026*z**2\/9 + 613437049600*z\/3 + 106329665000 = 0.\nAnswer: -1, 13, 191850","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 4*n**2 + 5*n + 5. Let s(p) = -p + 4. Let g be s(0). Let v(c) = -3*c**2 - 4*c - 4. Let z(u) = g*y(u) + 5*v(u). Let x(k) = 15*k**2. Calculate z(x(f)).\nAnswer: 225*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the first derivative of 1\/6*u**4 + 2\/3*u**2 + 219 - 7\/9*u**3 + 1\/15*u**5 + 0*u. Factor s(v).\nAnswer: v*(v - 1)**2*(v + 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -16 + 165. Is w a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*l**5 + 3*l**5 + 2*l**5 - 3*l**5 + 2*l**5 - 2*l**5 + 6*l - 6*l + l**5 + 3*l**5 + 0*l**5 - l**5 + (0*l**3 - 2*l**3 + 0*l**3)*(-1 + 1 + 2*l**2).\nAnswer: -6*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 6312?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 3, m: 4, n: 2, x: 4, c: 3, z: 1}. Give prob of sequence xx.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y - 9 = j - 3*y, -j + 19 = 4*y. Find the first derivative of 3*k**3 - 3*k**3 + 6 + 2 + k**j wrt k.\nAnswer: 3*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t - 26 = -7*t - 5*x, -3*t - 5*x + 27 = 0 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 92 divide 6532\/(23 + -24)*(-2)\/(-4)*-2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -163 (base 9) in base 13?\nAnswer: -a8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-two fifths of a meter in millimeters?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.129 and 0.3?\nAnswer: 0.0387","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -241869 - 0.3449446.\nAnswer: -241869.3449446","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h**3 + 32*h**2 - 75*h + 24. Let a be z(23). What is the greatest common factor of a and 90?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3639*57.4\nAnswer: 208878.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t = 12, -5*a - 1 - 8 = -4*t for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/2, 169, -0.2, 0.03, -0.044 in increasing order.\nAnswer: -0.2, -0.044, 0.03, 3\/2, 169","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -83, -93, -119, -167, -243, -353, -503, -699?\nAnswer: -947","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 20949039187 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (l - l - 3*l)*(-3 + 3 - 1) + 5*l - l - 3*l + 114*l - 172*l - 138*l to t*l + k and give t.\nAnswer: -192","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 61558.1 millilitres?\nAnswer: 61.5581","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxddxxx. What is prob of picking 2 x?\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = 3*c + 16. Let g = 4 + c. Suppose g = 3*t + 3*d - 12 - 9, 3*d = 2*t - 39. Is 6 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -0.2 (b) 5 (c) 160\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22918258.\nAnswer: 2, 11, 23, 45293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 157316382, 314632765, 471949148, 629265531, 786581914?\nAnswer: 943898297","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 91667400 a multiple of 50?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 b when two letters picked without replacement from {b: 1, s: 3, h: 4}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = u + 2856. Let w be (244\/24*-33)\/(3\/(-18)). Let k = u + w. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -543284190 minus 16.796?\nAnswer: -543284206.796","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + 1 + (((-62)\/6)\/31)\/((-2)\/(-66)).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -22 - 1212?\nAnswer: -1300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 57 - 33. Does 24 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -2*p - 10*p - 2*p - 26. Let h(l) be the third derivative of -5*l**4\/24 - 3*l**3\/2 + l**2 + 26*l. Calculate -17*h(a) + 6*r(a).\nAnswer: a - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 46.06105?\nAnswer: 46.06105","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -134.5538 + -410\nAnswer: -544.5538","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 12 + 28 = 0. List the prime factors of 221\/85 + 6\/c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8212 + 8216. Solve -d*s + 2*h = -5 + 21, -2*h - 29 = 5*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 690 minutes before 12:49 AM?\nAnswer: 1:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1 + 59)*((-6)\/12 + 3). Let z = f + -149. Solve 4*y - v + 10 + z = 0, 10 = -2*y - 4*v for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 67\/9439200 and -68\/2185.\nAnswer: 9439200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -208015*i - 207950*i + 411930*i - 7485*i**2 wrt i?\nAnswer: -14970","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h - 2 = 5*u, -3*h - h - 4 = 3*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -1407 divided by -3\nAnswer: 469","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t**3 - 5*t + 4. Let o be a(3). Let g = o - -35. Let c = 20 - 16. Sort -4, g, c, 3.\nAnswer: -4, g, 3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 9696 and 60?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -464 + 494. Let x(g) = g**2 + 2*g + 5. Let d = -5 - 0. Let l be x(d). Calculate the highest common divisor of l and m.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -581 + 834. Suppose -3*c - 88 - z = 2*f, 0 = f - 3*c + 166. Let h = f + 117. Round h to the nearest 10.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*b + 27 = -20*b. Let n = 1 - -22. Suppose -3*v + 1 = -n. Is v > b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 21\/44? (a) 19 (b) 1\/2 (c) -2\/11 (d) 0 (e) -1.34\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c**2 + 6*c - 1. Let s be (12\/(-8))\/((-1)\/2). Let u be q(s). Suppose u = 4*l + 2. Let y(d) = -d**2 + 4*d + 3. Calculate y(l).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10411*u**2 - 3353*u**2 - 3528*u**2 - 3*u + 3*u - 3532*u**2.\nAnswer: -2*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -26 (b) -14 (c) 2\/3 (d) -4 (e) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tvvy when four letters picked without replacement from hxyhxvhvvxtyhvvhhv.\nAnswer: 1\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1345, -5197, -11597, -20539, -32017, -46025, -62557?\n\"Answer: m**3 - 1280*m**2 - 19*m - 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2006?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 + 6 = -2*y, 0 = 5*g - 5*y - 80. Suppose c + 88 = 9*c. Let u(q) = -q**3 + 12*q**2 - 11*q + 13. Let k be u(c). Is g smaller than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 121570545071 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = u**2 - 1277*u - 473092. What is d(-300)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 40, 5, -3, -48, -1, 30 in decreasing order.\nAnswer: 40, 30, 5, 2, -1, -3, -48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 14 = -22*a + 13*a. Let p(n) be the third derivative of -1\/3*n**3 + 0*n + 0 + 1\/24*n**4 - 10*n**a. Give p(3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3 - -5. Suppose 4*s = s + 12. Suppose -2*t + s = -6. Solve 3 + t = x*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2059?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(54) + sqrt(270)\/(sqrt(10)\/sqrt(2)))\/sqrt(9))\/(3*-2*sqrt(3) - (sqrt(6)\/sqrt(2) - sqrt(3))*-3).\nAnswer: -sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 85*d - 107*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*h + 72 = 34*h. Let m = 283 - 179. What is the highest common factor of h and m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that -108*h**5\/7 + 221616*h**4\/7 - 221436*h**3\/7 - 21112*h**2 + 229744*h\/7 - 9376 = 0.\nAnswer: -1, 2\/3, 2051","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -11\/142 or 1?\nAnswer: -11\/142","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + 11 - (11 - (-6 - -13))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -29591*q**2 + 13*q + 90?\nAnswer: -59182","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -46*d**2 - 36*d**2 + 83*d**2.\nAnswer: d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 38, -5, -9, -2, -4, -269 in ascending order.\nAnswer: -269, -9, -5, -4, -2, 38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 334, 336, 338?\nAnswer: 340","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -1675*f + 1907. Is d(-32) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 525 minutes before 7:16 PM?\nAnswer: 10:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -63, -3, 4, -2.\nAnswer: -63, -3, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 718891?\nAnswer: 383, 1877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 42.41 - 42.4. Which is the third smallest value? (a) 5 (b) m (c) 1\/6 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -97020 divided by 462\nAnswer: -210","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y + 3388 = 3*s + 3508, s - y = 6*s + 224 for s.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1685265737 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 30 = 5*w. Let f be ((-12)\/10)\/(4\/w). Let 5*r**3 + 0*r**3 + 3*r**2 - 4*r**f - 4 = 0. What is r?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10324887.\nAnswer: 3, 37, 191, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4 + 1. Let a be 15\/6*(-6 + 32 + -4). What is the highest common divisor of j and a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 17*a**2 + 3*a + 13. Let k be n(-3). Let p = k + -141. Round p to the nearest 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4)\/(-6) + 0 + (-878)\/(-6). Let g be (-98)\/m + (-2)\/(-3). Factor -2\/5*x**2 + 1\/5*x**3 + g + 0*x.\nAnswer: x**2*(x - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2535124 - -45?\nAnswer: -2535046","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 less than 930?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -221953 - 31.65.\nAnswer: -221984.65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that -u**5\/2 - 22*u**4 + 590*u**3 - 545*u**2 - 1179*u\/2 + 567 = 0.\nAnswer: -63, -1, 1, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g**2 - 147*g + 3143. Let m be o(26). Let v = -5.542 + -0.058. Let y = v - -5. Which is the biggest value? (a) y (b) 0 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -2, 13, 102, 26, -1 in descending order.\nAnswer: 102, 26, 13, 5, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3.7724, 6, -2, 1\/2, -1, -1\/3 in decreasing order.\nAnswer: 6, 1\/2, -1\/3, -1, -2, -3.7724","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3\/233 - -125\/8388. Let y(d) be the second derivative of 0*d**2 + 0 + d - c*d**4 + 1\/18*d**3. Determine w so that y(w) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 384\/1872*-13*1?\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 22459 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (262\/(-393))\/(-2*(-2)\/6)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-740*n - 71*n**2 + 740*n)*(n - n - n).\nAnswer: 71*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -0.3, 6\/6635 in increasing order.\nAnswer: -0.3, 6\/6635, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*b**3*d**4 - 3*b**3*d - b**2*d**3 + 14155*b**2*d**2 + b**2 + 3145*d**3 wrt d.\nAnswer: 72*b**3*d - 6*b**2 + 18870","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((0 + (sqrt(605)*-2*-1 - (4 + 4*sqrt(605) - sqrt(605))))*1)**2.\nAnswer: 88*sqrt(5) + 620","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 1 - 3)*(5*f**2 - 2*f**2 - 5*f**2 + (-12*f - 9 + 9)*(-2*f + 2*f + f)) + f + 9*f**2 + 3*f**2 + 12*f**2.\nAnswer: 10*f**2 + f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (4 + 1 - 106*(-15)\/60)*10. Calculate the highest common divisor of 11445 and g.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5074086 and 118002.\nAnswer: 5074086","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:32 AM and 4:10 PM?\nAnswer: 398","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 503.3 rounded to the nearest one hundred?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -o + 9. Let c(u) = 74187*u - 13. Let n be c(o). Round n to the nearest ten thousand.\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 62*m + 2*m**4 + 2*m**3 + 130*m - 37937 + 37937 - m**2 to n*m + v*m**4 + u*m**2 + j*m**3 + l and give n.\nAnswer: 192","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the third derivative of -289*g**4\/6 + 5*g**3\/6 + 27*g**2. Is w(-2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17520 + 5422 - 28417 = -15*c. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5517.6 + -5518. Which is the closest to -2? (a) m (b) 2\/7 (c) 8\/5 (d) -3\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1597 + 316*q**3 - 1553 + 3150.\nAnswer: 316*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 78234461?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 + -0.8. Which is the second biggest value? (a) n (b) -1\/2 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -54*p**2 - 3660*p. Let y(x) = -2*x. Determine z(y(h)).\nAnswer: -216*h**2 + 7320*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(567)*-6 + (1*sqrt(567)*3)**2 + 4)*-2.\nAnswer: -10214 + 216*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1342000000 = -12*k + 32*k. What is k rounded to the nearest one million?\nAnswer: 67000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (5 - -2)*1*-1. Let x be -257*(-3)\/(-51) - 2\/(-17). Let k = h - x. Solve 5*n - 2 - k = 0 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3 and 687?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2642 to the power of 1\/2, to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i**2 + 6*i - 3. Let y be 28\/(-6)*(-2028)\/(-52). Let v be (-41)\/7 + 26\/y. Give a(v).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 1378*d + 191441. Calculate y(-139).\nAnswer: -101","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g**2 - 9*g - 2. Let n(w) = -w**2 + 9*w + 3. Let s(m) = -6*n(m) - 7*z(m). Let b be s(7). Factor k**2 - 3 + 5 + 17*k - 10*k - b*k.\nAnswer: (k - 2)*(k - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/5? (a) -2\/3 (b) 0.8 (c) 7\/5 (d) -51 (e) -8.89\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y**3 - 12*y**2 + 21*y. Let f be k(10). Suppose 0 = f*h + 33 - 223. Solve s - h = 5*v, -3*s + 5 = 5*v + 2*s for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Convert 5872b (base 14) to base 11.\nAnswer: 137958","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m**2 - 156*m - 11. Suppose 0 = -o + 283 - 281. Let j(d) = -31*d - 2. Let f(h) = o*t(h) - 11*j(h). Let g(l) = -l. Calculate g(f(v)).\nAnswer: 2*v**2 - 29*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (-x + 0*x + 2*x)*(-7*x + 2 - 2) + 0*x**2 - 2*x**2 + 0*x**2 + 1 - 1 + 2*x**2 as m*x**2 + k + d*x and give m.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -291, -738, -1481, -2520, -3855, -5486, -7413?\n\"Answer: -148*w**2 - 3*w - 140","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/25 of a litre?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the second derivative of q**6\/120 + 13*q**3\/3 + q**2 - 2*q. Let v(s) be the first derivative of g(s). Is v(0) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 4 (b) -14 (c) -1\/3 (d) 0 (e) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -20 - -20.3. Put -2\/11, g, 2\/3, -2 in decreasing order.\nAnswer: 2\/3, g, -2\/11, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -3*p. Let t(i) be the second derivative of -i**5\/120 + i**3\/2 + 3*i. Let g(d) be the second derivative of t(d). Give g(v(o)).\nAnswer: 3*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-18)\/17)\/((-321)\/3638)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 5*t**2. Let m(q) = 114832*q - 1. What is m(u(z))?\nAnswer: 574160*z**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1b51 (base 13) to base 6.\nAnswer: -31030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 11 and 2816?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/(-793)*46007\/(-10617)\nAnswer: -2\/61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -366 by 3.\nAnswer: -122","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-43*k**2 - 26*k**2 + 3*k**2)*(k + 2*k - k)*(624 - 624 + 77*k) to c + t*k**3 + s*k**4 + b*k + q*k**2 and give s.\nAnswer: -10164","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42*u + 14 = 2*j - 44*u, u = 5*j - 51. Let s(k) = k**3 + 3*k**2 - 7*k - 10. Let l be s(-4). Which is smaller: l or j?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 117 - 126. Let k(d) = -d**3 + 2*d**2 + d - 2. What is the tens digit of k(g)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 428698959.\nAnswer: 3, 13, 10992281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n**3 + 4*n**2 + 4. Let v be s(-4). Let h = 3.67 + -0.67. What is the second smallest value in h, v, 5?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -98581.4 to the nearest 100.\nAnswer: -98600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 2, i: 1}. What is prob of sequence rr?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 108\/(-26) + (-2)\/(-13). Let w(x) = -4*x**3 - x**2 + 1. Let d be w(-1). Let q = i + d. Solve z + q*z = 0 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -390246721 or -390246722?\nAnswer: -390246721","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -211 (base 4) to base 16\nAnswer: -25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - (-26)\/(-14))\/1?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 646?\nAnswer: 2, 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/9 (b) -1 (c) 16 (d) 10\/21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -28.011 (b) 5 (c) 25 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (13\/87 - (-2)\/(-12))\/(30\/(-60)).\nAnswer: 1\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000524933 rounded to 5 decimal places?\nAnswer: 0.00052","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 14? (a) 9\/10 (b) 0 (c) 2\/37 (d) 4 (e) 1.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-three quarters of a week in hours?\nAnswer: 1806","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x**3 + 24*x**2 - 676*x - 11. What is k(17)?\nAnswer: 346","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 603 or -28540?\nAnswer: 603","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 490 and 42.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 549, 2138, 4777, 8460, 13181, 18934, 25713, 33512?\nAnswer: 42325","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10 - 11) + -14 - -25?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/22? (a) -0.5 (b) -2\/1753 (c) 2 (d) 1 (e) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 51 - 33. Suppose 6 = -z - a + s, 0 = 2*z + a - 21. List the prime factors of z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8210 is divided by 744.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1573 + 10978\/7. What is the common denominator of z and -8\/723?\nAnswer: 5061","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11001110110000100 (base 2) to base 13.\nAnswer: -39251","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d**2 - d + 7. Let l be z(8). What is the highest common divisor of 9 and l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 494 and 809913.\nAnswer: 247","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6139 is divided by 5721?\nAnswer: 418","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (105 + 1222999\/(-11639))\/8.\nAnswer: -1\/103","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 24 + -17. Let m be s*1*(4 - 1). Suppose m + 3 = 2*f. Does 11 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x and 2 q when four letters picked without replacement from {q: 3, x: 3, b: 1, e: 2, r: 1, z: 1}.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -7*p + 3. Let m(y) = 477*y + 16. What is -4*b(s) + m(s)?\nAnswer: 505*s + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 3 - 6)*(-21 - 402*z + 6 + 17)*(12 + 65 - 11).\nAnswer: 53064*z - 264","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4437 is divided by 48.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j**2 + 99*j - 17288. Determine y(90).\nAnswer: -278","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -68*s + 105. Let g be r(8). Let c = -434 - g. Let i(q) = q + 3. Determine i(c).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 825 divided by -5?\nAnswer: -165","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 444 minutes after 4:55 PM?\nAnswer: 12:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 325 minutes before 10:36 AM?\nAnswer: 5:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 217877, 217900, 217931, 217964, 217993, 218012, 218015?\nAnswer: 217996","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4678730?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the first derivative of -c**5\/60 - c**4\/3 - c**3\/3 - c**2\/2 + 2. Let b(t) be the second derivative of g(t). Is 13 a factor of b(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 21*d - 203. Calculate the remainder when 5948 is divided by l(13).\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 501\/45 - (-55)\/(-5)\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -21 times 5\nAnswer: -105","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 e when four letters picked without replacement from ewwwaeudawuewdwuewa.\nAnswer: 1\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-47 + j - 2*j + 105)*(-8 - 5 + 0)*(-4 + 5 - 3).\nAnswer: -26*j + 1508","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -103\/32, -2\/15, 4.49 in increasing order.\nAnswer: -103\/32, -2\/15, 4.49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 188 + 118 + 3 - 5*i**3 + 2*i**2.\nAnswer: -5*i**3 + 2*i**2 + 309","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2817706 and 71.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:10 AM and 1:40 PM?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 11511 or 11505?\nAnswer: 11511","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -27\/14 and 2\/33 - ((-16514272)\/(-3267264) - 5)?\nAnswer: 3094","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 7}. What is prob of picking 4 u?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 6*b**2 - 1. Let n(u) = 5*u**2. Give n(s(m)).\nAnswer: 180*m**4 - 60*m**2 + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 116 or 117?\nAnswer: 116","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-3)\/3)\/1*3. Let u(v) = -v**2 - 5*v - 4. Let x be u(-4). What is the closest to x in -0.5, q, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the first derivative of -5*z**2 - 1. Let b(x) = x - 62*x**2 + 125*x**2 - 62*x**2 - x. Determine b(a(v)).\nAnswer: 100*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 1342?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -71\/30 and -127\/284916.\nAnswer: 1424580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 348?\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -45\/18488 at least 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1875767.\nAnswer: 193, 9719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**(-2\/3)*c)\/((c**7*c)\/c*c))\/(c**(-3)\/c**3) assuming c is positive.\nAnswer: c**(-2\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.07351 + 337.13649. Let b = n - 339. What is b rounded to 1 decimal place?\nAnswer: -1.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -215789, -215791, -215793, -215795, -215797, -215799?\nAnswer: -215801","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (22 - -16)*-2*(-2)\/8. Solve -9 = -c - 3*n + 6*n, 0 = -c - 4*n - u for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-29)\/(-348))\/(11\/((-440)\/(-6))).\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 20404 to the power of 1\/2, to the nearest integer?\nAnswer: 143","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1030871?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5.93 - -0.07. Which is the closest to -1? (a) -0.1 (b) z (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 156445263 a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the second derivative of 438*s**4 - 17*s**3\/6 + 55*s**2 - 1671*s - 4. Find the second derivative of p(w) wrt w.\nAnswer: 10512","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (9 - -1)*(-5 + 746\/150). What is the second smallest value in -1, -3, r?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1263*x - 1262*x + 2530*x + 274*x**2 + 1 + 6*x**2 as u + s*x**2 + y*x and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 86909.\nAnswer: 233, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-184)\/26*(-2834)\/436. Let r(k) = -2*k**3 + 90*k**2 + 93*k - 38. Give r(t).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 233510817 to the power of 1\/3, to the nearest integer?\nAnswer: 616","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 20818?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 400 and 40101570?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*a - 4*a + 3*a)*(14*a + 14 - 14)*(-11*a - 7*a + 4*a) as y*a + i*a**3 + s + g*a**2 and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(121) + sqrt(121) + (sqrt(121) - (sqrt(121) + (sqrt(121) - -4*2*sqrt(121)) + sqrt(121))) + sqrt(121) + sqrt(121))\/(sqrt(1100)*-1).\nAnswer: 3*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6698009 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 12885424901 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 145.5 - 234. Let i = -1171 + 1083. Let g = b - i. Sort -8, 5, -2\/11, g.\nAnswer: -8, g, -2\/11, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o**3 + 14*o**2 - 11*o - 12. Calculate i(13).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39364*u**2 + 39361*u**2 - 1 + 3762*u + 5 - 3762*u + 2.\nAnswer: -3*u**2 + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-36)\/600*-5*5\/(-9).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -12021.8 * 2422.\nAnswer: -29116799.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 4568929 a multiple of 113?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -274 = -17*p + 113 + 106 for p.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/38, 2\/3, 0.4, -3, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 3*v**3 + 5*v**2 - 3*v - 2. Give t(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 177134743 is divided by 43?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 90\/(-189)*(-182)\/65?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 30899 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 255111695 is divided by 63?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/13965 in 1, 10, -0.08?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35*z - 8*z**2 - 183*z + 65*z + 9*z**2.\nAnswer: z**2 - 153*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.034474 centimeters to nanometers.\nAnswer: 60344740","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-225)\/(-2025))\/(((-4)\/96)\/(1\/(8\/(-14))))\nAnswer: 14\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -3379.67 and 62.\nAnswer: -3317.67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 2*g + 2. Let v be p(7). Let d = 0 + v. Suppose 0 + d = 4*l. Solve 0 = -3*t - 8 - l for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2.6 - 0.1. Let i = 0.027 + 1.973. Let f = i - s. What is the third biggest value in -4, f, -2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the first derivative of -1\/2*j**2 + 6 + 24*j. Let i be s(9). Solve -4*u + 13 = -4*p - i, -u + 4*p = -13 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 25.9 + -26. Let s = 0.9 - z. Are s and 1\/8 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 298 minutes after 3:05 AM?\nAnswer: 8:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10153 is divided by 850?\nAnswer: 803","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oooeoooooqeoeqpero. What is prob of picking 1 e and 1 o?\nAnswer: 40\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 571 + -517. Calculate the least common multiple of 3 and d.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m - 4. Let u be q(4). Suppose u*j + 792 = 4*j. Suppose 3*i = 3*s - 303, 0*i + 4*i + j = 2*s. Is 13 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.4561 + -0.0439. Which is the closest to -53? (a) 1\/10 (b) i (c) -3 (d) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = -v + 20, 2*v - 4*w = -0*w - 2. Let b be -3*((-142)\/(-18) - 4). Let r = 12 + b. What is the smallest value in 2, r, v?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 5635318260 to the nearest 1000000.\nAnswer: 5635000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -12, -23, -3\/5, 0.4, -5, -6 in increasing order.\nAnswer: -23, -12, -6, -5, -3\/5, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -7*c**2 - 87*c + 166. Let b be 75\/27 - (-4)\/18. Suppose 3*n - 10 = -2*n, n + 136 = b*s. Calculate the remainder when s is divided by l(-14).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -5*n - 1. Let g(u) = 6*u - 37. Determine v(g(q)).\nAnswer: -30*q + 184","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1 - -2. Suppose -5*z + 50 = -z - c*v, 0 = -5*z + 3*v + 64. What is the remainder when 276 is divided by z?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 62128 and 23298?\nAnswer: 186384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v*v**(2\/5)*v)\/v*v)**21)**(-3\/2) assuming v is positive.\nAnswer: v**(-378\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5*-27331403.\nAnswer: -13665701.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = 18 + 4. Suppose q*v - 16*v = -185. What is the remainder when v is divided by (3 - -4) + (0 - -1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 149, 142, 129, 110, 85, 54, 17?\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j**3 + 21*j**2 - 29*j - 31. Calculate the lowest common multiple of x(-22) and 57.\nAnswer: 2337","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the third derivative of d**5\/60 + 5*d**4\/8 + 8*d**3 + 157*d**2 + d + 4. What is x(-12)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1a480 (base 11) to base 7\nAnswer: -146105","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1644 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 15686045 to the power of 1\/3, to the nearest integer?\nAnswer: 250","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -36 - -38. Suppose 2 = f*r, 22*y - 17*y - 2*r - 1123 = 0. List the prime factors of y.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1395*c + 13824 - 13824 in the form v + m*c and give m.\nAnswer: 1395","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -43149, -51509, -59869, -68229?\n\"Answer: -8360*o - 34789","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -4*j - 21. Let l be a(-6). Suppose -l*r + 6 = -9. Suppose -5*f = -2*b - 35 + 1, 3*f + r*b = 39. Solve f*k + 4 = 4*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 - -2. Suppose -8 = -k + m*k. Let z(v) be the third derivative of -v**5\/60 - 7*v**4\/24 - 5*v**3\/6 - 2*v**2. Give z(k).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -2*t, 4*t + 895 = 3*b - t. What is the hundreds digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20\/(-8)*(-153)\/85*(-16)\/(-8)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 23632521127 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1 + 0 + (-4)\/(-1). What is the highest common factor of r and 15?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11 + -1 + 14 - 1\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3798 by 2.\nAnswer: 1899","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 202*g**2 - 401*g**2 - 539*g**3 + 199*g**2.\nAnswer: -539*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 584 in -0.1, 0.25, -3, -205?\nAnswer: 0.25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3 - -3. Suppose -v*u + 2 + 4 = 0. Suppose 3*n + i + i = 3, 3*n + 12 = 3*i. Sort u, n, -2 in increasing order.\nAnswer: -2, n, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1 - -506a3?\nAnswer: 506a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 56 and 546.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1580707590?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 154155245?\nAnswer: 5, 541, 56989","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + -19 + (-18 + 9 - -20) + -13 - 9?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*h - 33 + 13 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 741373 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - ((-7)\/15)\/((-13)\/117)?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b = 3*c - 1, 2*c + 124*b = 128*b - 32 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 21*c**3 - 5*c**2 - 6*c - 2. Let f(o) = o**3 - 30*o**2 + 115*o + 49. Let s be f(5). Give b(s).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4024 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -2*i**3 - 6*i**2 + 23*i + 56. Give o(-4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u**2 + 28*u + 204. Let x be h(34). Let z be 2 - 0 - x\/(-8). Solve -20*r + 19*r - z = 0 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 96030?\nAnswer: 2, 3, 5, 11, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 146410 is divided by 20915?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 183499?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-12)*m*m**6*(m*m**14)\/m*m\/m**(2\/77))**(-8\/9) assuming m is positive.\nAnswer: m**(-2048\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 275 is divided by 47?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -3*s**3 - 41*s**2 - 1026*s - 12990. Give q(-13).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(-4)*46 + -354 + 372?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 1336?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -29 + 7*i**2 + 6 - i - 11*i**2 + 176*i**2. Let w be y(9). Round w to the nearest 1000.\nAnswer: 14000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 835969877 a multiple of 3967?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -160b (base 12) in base 13?\nAnswer: -1253","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 30 and 49812.\nAnswer: 249060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -55 (b) 0.3 (c) -2\/699\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 107050 to the nearest 1000.\nAnswer: 107000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 73034991?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-6)\/(-40) + 2\/(-8). Let y = 846\/5 - 169. Sort 1\/4, q, y in ascending order.\nAnswer: q, y, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -76354*n - 687457. Give o(-9).\nAnswer: -271","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -232.22 - 2.78. Let a = f + 247.9. Round a to the nearest ten.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 3, k: 1, j: 4, v: 1, f: 4}. Give prob of sequence djv.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*u - 166 = 446. Let z be (-3 - 95\/(-20))\/((-1)\/u). Calculate the greatest common divisor of z and 34.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (115\/(5290\/(-161)))\/((-7)\/76)\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12, -17, -22, -27?\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -39 - -39.015. Let j = w - 4.015. What is the closest to -0.1 in 5, 4\/5, j?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(231))\/sqrt(7) + sqrt(66)\/(sqrt(2) + sqrt(98)) + sqrt(33))\/((sqrt(528)*4)\/(sqrt(243)\/sqrt(9) + sqrt(3) + sqrt(3))).\nAnswer: 5*sqrt(3)\/128","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/8? (a) -28 (b) 1889 (c) 0 (d) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 12 = -5*w. Let n(a) = -3*a - 6. Let o(j) = 2*j + 5. Let s(l) = -3*n(l) - 4*o(l). Is s(w) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.656109 to 1 decimal place.\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:29 PM and 10:02 PM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 173573, 173566, 173555, 173540?\n\"Answer: -2*y**2 - y + 173576","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.38? (a) 9\/14 (b) -1\/8 (c) 1\/9 (d) 0.2 (e) -34\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wsw when three letters picked without replacement from sssswwwwswwnwwsss?\nAnswer: 28\/255","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -114*q + 258 - 710 + 4423 = -1501 for q.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4715*d**2 - 2647*d**2 + 3812*d**2 + 4877*d**2.\nAnswer: 10757*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 3162?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 454037?\nAnswer: 43, 10559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l**3 - 15*l**2 - 15*l + 11. Let i(r) = -r**2 - 5*r - 8. Let w be i(-6). Let u be o(w). Suppose 5*s - 210 = u. List the prime factors of s.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/6 of a millennium in months?\nAnswer: 10000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 241005971 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 204949030 to the nearest integer?\nAnswer: 590","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -5*l**3 + 17*l**2 + 6*l - 11. Suppose 0 = -2*p - 15 + 1. Is k(p) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3 - -12. Let x = m - 6. Suppose j = x*j. Solve 0 = 3*b - j*b + 6 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -233, -2066, -7007, -16598, -32381?\n\"Answer: -257*w**3 - 12*w**2 + 2*w + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 99 and 27203.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -59\/993 and -101\/18.\nAnswer: 5958","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p**3 + 6*p**2 - 4*p - 3. What is j(-7)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 12 and 117.\nAnswer: 468","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qiiiiiiq. Give prob of sequence iqqi.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -524\/1265 - -18\/55. Which is the nearest to l? (a) 1 (b) -0.5 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 5*j + 7321 = 0, 0*d = -d + j + 7333. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-4)\/m**(-2\/5)*(((m*m*m**(1\/4))\/m)\/m*m)**(-7) assuming m is positive.\nAnswer: m**(-247\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -1320001140 (base 5) in base 7?\nAnswer: -36614552","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w - 9*w - 105*u + 107*u = 414 - 110, 0 = -2*w - u - 98 for w.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 168023 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -3\/5 (b) -9 (c) -0.2 (d) 23\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 52761170*k*p**3*x - k*p**3 - 10*k*p**2*x + 85*k*p*x - 3*k*p + 612*x wrt p?\nAnswer: 316567020*k*x - 6*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-73*h**2 + 116*h**2 + 221*h**2)*(-4*h + h + h) - 2*h**3 + 3*h**3 - 2*h**3 + (-h - 4*h + 3*h)*(-h**2 + h**2 - h**2).\nAnswer: -527*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = -c + 5062, 2*c - 20*n = -23*n + 10126. What is the thousands digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 1108?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2711521265?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 251?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -18205922*n**3 + 23509097 wrt n?\nAnswer: -54617766*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*p - 4*y + 60, -3*y + 9 = -6. Let j be (p + -9)*2*3\/(-3). Let a(l) = 2*l**2 - l. Give a(j).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 119 = -1. Calculate the remainder when 118 is divided by v.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -409155 divided by -3.\nAnswer: 136385","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 731586 to the nearest integer?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 14420 + -14416. Let h(z) = -140*z**3 - 4*z - 3. Let a be h(-4). Suppose 0 = -p + y*p - a. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 17.49 + -17. Let t = 0.5 - n. What is t rounded to three decimal places?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 51 + 27 = 0. Let i(n) = -n**3 + 7*n**2 - 7*n + 9. Let k be i(y). Suppose -r + 132 = r - k*m, 68 = r - m. Does 24 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the first derivative of -29*h**6\/2 - 2*h**5\/5 - h**2\/2 - 101*h - 174. Find the second derivative of q(b) wrt b.\nAnswer: -1740*b**3 - 24*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**2\/2 + 5*m - 11\/2.\nAnswer: (m - 1)*(m + 11)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -1\/574, 1 in ascending order.\nAnswer: -1\/574, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tzv. What is prob of sequence ztt?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1 + (-792)\/525 + 9\/21. Which is the nearest to -1\/4? (a) -3 (b) t (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.2 (b) -1623 (c) 4\/7 (d) 4 (e) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 58557 at least as big as 58355?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 2*h**2 + 8*h - 7. Let q be w(9). Let c = 329 - q. List the prime factors of c.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 3*v**2 - 2*v - 2. Let y(f) = 13*f**2 - 9*f - 9. Let l(a) = 9*o(a) - 2*y(a). Let n(d) = -37*d**2. Give l(n(g)).\nAnswer: 1369*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -331 + 329. Are r and 1\/14 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -422 and -17?\nAnswer: 405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 35\/2*t**3 + 11\/2*t**2 + 1\/2*t + 25\/2*t**4 + 0.\nAnswer: t*(t + 1)*(5*t + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 92, -2\/19, 0.3, 0.05, -0.1, 2.\nAnswer: -2\/19, -0.1, 0.05, 0.3, 2, 92","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3 + 1701102a9?\nAnswer: 170110301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c**3 + c**2 - c + 2. Let u be j(2). Let s be ((-2)\/u)\/(3\/18). Solve 0*d + s*d = 0 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1908717*5\nAnswer: -9543585","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) 4 (b) -596 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 1 + 3*p + 46*p**3 - 19*p**3 - 26*p**3 - p**2 - 2*p. Let m(t) = 4*t**3 - 2*t**2 + 4*t. Give -m(f) + 2*s(f).\nAnswer: -2*f**3 - 2*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:47 PM and 9:29 PM?\nAnswer: 402","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 13 + -8. Suppose 15*s - 70 = 10*s. Calculate the remainder when s is divided by q.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*t + 408 = 96. Suppose 0 = -5*a + 3*a - 80. Let p = t - a. What is the units digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1141 - 472. List the prime factors of l.\nAnswer: 3, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2513942 - -125\nAnswer: -2513817","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -4*r - 2. Let m(w) = -28*w**2 + 193*w - 18. Calculate the smallest common multiple of m(6) and x(-3).\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34 - (-4 - 0) - (-139 + 156)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q + 10*j = -3496 + 3261, -q + 4*j = 49 for q.\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b**2 - 3*b + 1847. Is m(0) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -eef631 (base 16) to base 7\nAnswer: -250053464","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 10*u**2*v**4*x + 3*u**2*v**2 - 2561*u*v**4*x + 552*u*v**2 - 2*x wrt v?\nAnswer: 240*u**2*v*x - 61464*u*v*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(252)*-1)**2 + -4)*1 - (-4*(sqrt(175) + -1 - sqrt(175))*1)**2.\nAnswer: 232","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(((-7)\/8)\/((-22932)\/1872)).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 264 to the power of 1\/5, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the first derivative of 2*c**3\/3 + 1. Suppose 2*p - p = -2. Let t(m) = m**2. Determine p*s(g) + 6*t(g).\nAnswer: 2*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 256003?\nAnswer: 11, 17, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -174510525*j**3 - 18*j**2 - 70*j + 6130.\nAnswer: -1047063150","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1 (b) 16 (c) 0.2 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + ((sqrt(405) + -3 + sqrt(405) + -1 - sqrt(405))**2 - (sqrt(405) - 3*(sqrt(405)*-5)**2)))*-6.\nAnswer: -184794 + 486*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 339290, 1357091, 3053406, 5428229, 8481554?\nAnswer: 12213375","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 1316, 5 in decreasing order.\nAnswer: 1316, 5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a**3 - 4*a**2 + 2*a. Let m(h) = 35*h**2 + 2 - 36*h**2 + 11 + 8*h. Let z be m(9). Calculate p(z).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(480)\/(sqrt(72)\/sqrt(6)))\/((sqrt(80) + ((sqrt(80) + -1*sqrt(80) - sqrt(80)) + sqrt(80) - sqrt(80)) + sqrt(80) + sqrt(80))\/sqrt(10)*-2).\nAnswer: -5*sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1121120000210012021 + 1?\nAnswer: 1121120000210012022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -258 - -267. Solve -5*y + t = -1 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 160 - 37. Let a = v + -14. Let a*k**2 + 27*k**4 + 90*k**3 + 29*k**2 + 91 + 3*k**5 - 64 + 99*k = 0. Calculate k.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -3*z**2 + 3*z - 1. Let o be h(-4). Let m = o - -85. Let f be m\/9*(-114)\/(-8). Calculate the greatest common divisor of 19 and f.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -6*b**2 - 2*b - 61. Let j be q(-28). Let c = j - -6890. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1626, -3255, -4862, -6435, -7962?\nAnswer: -9431","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 493 - 342. Let l = c + -227. What is the tens digit of (7\/(-4) + 1)*l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 244?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 84 = 4*f + 58, -4*f - 157 = -m. Let l = 38 + f. Suppose 3*v + 4*k - 27 = l, 27 = -2*v + 5*v + 3*k. Solve 2*s = -s + v for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*i**2 + 4*i**2 + 2*i**2)*(-3*i + 4*i - 2*i) + (-i - 2*i**3 + i)*(160 - 44 + 4).\nAnswer: -242*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1560 - 908. Let f = 1239 - q. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3.72 + -0.72. Let l = -2.5 - -2. Let i = 0.8 - 0.5. Sort i, v, l.\nAnswer: l, i, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -24623, -28164, -34065, -42326, -52947, -65928, -81269?\n\"Answer: -1180*k**2 - k - 23442","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.42 - -0.02. Let w = -0.19 - 0.05. Let k = w - -0.04. What is the closest to 1 in k, p, 4?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1672*g**4 - 1556 wrt g?\nAnswer: -6688*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q**(-2\/11)\/q)\/q*(q\/q**(-3\/8))\/q)\/((q\/(q**(3\/7)*q))\/q**(-4))*q**(1\/2)*q\/q**(-2\/5)*q\/q**(-4\/7)*q*q*q**5\/q assuming q is positive.\nAnswer: q**(2241\/440)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = b + 46. What are the prime factors of b?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that 2*s**2 - 20779776*s - 62339346 = 0.\nAnswer: -3, 10389891","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -378782 bigger than -378783?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2.99 + -3. Let x = 0.00999976 + c. What is x rounded to 7 dps?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.23843 * -0.5\nAnswer: 0.119215","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5, -2\/13, 0.21, -3, -0.79273, 1?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -1 - 10\/(-4) - (-1768)\/(-728)*17\/34\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 462 - 11548\/25. Suppose -2*q = -0*q - 5*d - 11, d = q - 1. Let k be (-3 - (-25)\/10)*q. Which is greater: k or l?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (36\/20 + -3)\/((-6)\/(-15)). Let g = x + 69. What is the tens digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -109*a + 6141. What is o(57)?\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 5 - 8 = 0. Solve -24 = -3*w - k*i, 2*i + 17 = 4*w + 3*i for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = u + 6*t - 11*t - 82, -3*u + 189 = 4*t. Let f = -28 + u. List the prime factors of f.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 4896*b**2 + 62*b - 195. Is n(4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 76 and 6104.\nAnswer: 463904","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: ((-5525)\/100 - -64)\/(10\/16) + -20\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 92395?\nAnswer: 5, 17, 1087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4042121 (base 6) to base 9.\nAnswer: 322684","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5336 + 16025 + 5109*y**2 - 5344 - 5345.\nAnswer: 5109*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 182 + -182.3. Suppose 0*m - 3*m + 95 = -5*f, 4*f + 79 = 3*m. What is the smallest value in i, -2\/13, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nkpnbaba. What is prob of sequence bkn?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 2*n**3 - 5*n**2 - 11*n + 9. Determine k(5).\nAnswer: 79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -16731, -24191, -31581, -38865, -46007, -52971, -59721?\nAnswer: -66221","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -436*g - 9585. What is t(-22)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in twenty-nine halves of a microgram?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -2857*g - 322. Is 29 a factor of y(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 30\/9*(-3)\/(-2). Suppose 0 = b*d - 2*d + 18. What is the units digit of (68\/d)\/(18\/(-27))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-2\/21)\/(k**(-1\/41)*k) assuming k is positive.\nAnswer: k**(-922\/861)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 93 = 3*n - 21, 40 = n - x. Let q = 122 + -161. Let p = q + n. Solve -r - 2*h = p, h = 2*r + 6*h for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y**4 - 282*y**3 + 1857*y**2 - 2610*y = 0. Calculate y.\nAnswer: 0, 2, 5, 87","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d**4 + 862*d**3 + 13255*d**2 - 87700*d = 0. What is d?\nAnswer: -20, 0, 5, 877","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 778.1 in -0.9, 2, -1\/3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f = -b - 7, 2*b - 26*f = -45*f + 61 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the third derivative of -4*g**2 + 0 - 5\/24*g**4 + 5\/6*g**3 + 0*g. Let h(l) = -2 - 1 - 3 + 6*l. Determine 4*h(x) + 5*m(x).\nAnswer: -x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the third derivative of u**5\/30 + 777*u**2. Let w(g) = 3*g**2 - 174. What is p(w(m))?\nAnswer: 18*m**4 - 2088*m**2 + 60552","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -a**3 + 2*a**2 - 2*a + 2. Determine m(1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*y = -892 + 829 for y.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41343 is divided by 13684.\nAnswer: 291","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11464 is divided by 413.\nAnswer: 313","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 10919 - 10918.92955. Round c to three dps.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 111669745.\nAnswer: 5, 11, 19, 106861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9 + -5. Let v(l) = -11*l**5 + 4*l**3 - 5*l. Let a(u) = 32*u**5 - 11*u**3 + 14*u. Let h(d) = m*a(d) + 11*v(d). Find the second derivative of h(b) wrt b.\nAnswer: 140*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 117 a factor of 1954233313?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Are -9\/349 and -1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**1\/x)**(-14)*(x**(-2\/3)\/x*x)**(6\/5)*((x\/(x*x\/(x*x**4)*x))\/(x\/(x*x**(-2\/9)*x*x)))**(-5\/6) assuming x is positive.\nAnswer: x**(-5071\/270)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.5 - 0.2. Let j = 567.03 + -564. Let a = j - 0.03. Sort a, x, 2.\nAnswer: x, 2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 92258503?\nAnswer: 107, 862229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 78*d**2 - 2. Let m(n) = -2*n**2 + 3. Let a(r) = -3*r**2 + 2. Let g(p) = -3*a(p) + 2*m(p). Calculate l(g(c)).\nAnswer: 1950*c**4 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 15441 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(1\/4))**(-11)*(x*(x*(x\/(x*x\/x**(-2\/3)))\/x)\/x)**6 assuming x is positive.\nAnswer: x**(-51\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2534 = -361*t + 3256 + 6137 for t.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 116*c - 91*c = 100 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 + 3)*(-928 + 928 - 24*a)*(-12 + 24 - 6) + a - 2*a + 3*a.\nAnswer: -286*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5913\/8 - 742. What is the common denominator of j and ((-6)\/(-60))\/(1\/1)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3168*34\/4352)\/(2\/((-16)\/3))?\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -51.169679 rounded to 1 dp?\nAnswer: -51.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 283882.1km to nanometers.\nAnswer: 283882100000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the third derivative of 19*a**5\/30 - 7*a**4\/8 + a**3\/6 - 7*a**2 + 99*a. Factor y(b).\nAnswer: (2*b - 1)*(19*b - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 864 to the power of 1\/4, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-4)\/10)\/(7 + 730\/(-50)). Which is greater: -1 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.4*-1.132\nAnswer: -0.4528","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -6*(-2)\/3 - 0. Suppose 0 = -d*r - 0*v - 2*v + 34, -2*v = -5*r + 38. Suppose -2*l = -30 - r. What is the units digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.5 and -3197.\nAnswer: -1598.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 43724 is divided by 10902?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 892787 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2661 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 4*z - 16 = 0, 0*z = -l + 2*z + 4. Let u(n) = -n**3 + 1. Let a be u(-2). Let j = a + l. Solve -2*p = 2*c + 16, j = -p - 3*p - c for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1778 (base 14) in base 7?\nAnswer: 15211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(605) + 5 + -1 + sqrt(605) - (((sqrt(400)*-2)\/sqrt(8))\/sqrt(10) + -3))**2.\nAnswer: 192*sqrt(5) + 2896","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.156 - -18.256. Let g = -18 + p. Is g at least 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 4 + 8 = -4*j, 0 = x - 5*j - 5. Suppose x*m = 7*m - 28. Solve -w - 2 = g, -7 = g + m*g + 2*w for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 541690 + 182084 = -16557*s - 650457 for s.\nAnswer: -83","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -80 - -79.99795. What is p rounded to 3 dps?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 22 + -28 + -60 - -51?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 24.4 and 0.1?\nAnswer: 2.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -l**4 + 2*l**2 - 2 - 15444*l + 15474*l + 5 + 0*l**2 to the form x*l + r*l**2 + s*l**3 + z*l**4 + j and give j.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/((-15)\/116))\/((-700)\/875).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 461*p - 1. Let f be a(2). Suppose -f*j + 32 = -917*j. Let k(o) = -3*o + 20. What is k(j)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3165690123?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-32 + 32 - (-1 + -3)) + 2.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -288*j**2 + j + 2383.\nAnswer: -576*j + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**3 + 1072*u**2 - 10804*u + 17312.\nAnswer: (u - 8)*(u - 2)*(u + 1082)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 not equal to 2805\/1391?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13, -7, -17, -49, -109, -203, -337?\nAnswer: -517","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1144625098.\nAnswer: 2, 14087, 40627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*z + 36 - 60 = 0 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**1*h\/(h*h**6\/h))**(-13) assuming h is positive.\nAnswer: h**52","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v - 70*b + 56*b + 21*b - 105 = 0, 2*v + 5*b = 70 for v.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 784129214?\nAnswer: 2, 11, 109, 326993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d**3 + 14*d**2 + 24*d + 15. Let o be g(-12). Suppose 6*i - 3 = o. Solve 3*w + 2*x + i = -x, 4*w - 2*x - 2 = 0 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -4*j. Let z(v) = -7*v. Let p = 56 - 51. Calculate p*o(s) - 2*z(s).\nAnswer: -6*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 16 - 8. Let x(z) = 5 - 16 - 9*z + 7*z**2 + 13 + 12. Let g(y) = -11*y**2 + 13*y - 21. Let c(o) = s*x(o) + 5*g(o). What is c(6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1 - 202525?\nAnswer: -202524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 206, -14 in decreasing order.\nAnswer: 206, -1, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 658824064 to the nearest integer?\nAnswer: 870","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1438\/5 - -288. What is the third biggest value in -31, -2\/5, l, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 104 a factor of 3640?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3\/235 - 726\/1645. Suppose 3*p = 5*o - 16 + 1, 3*p = -5*o + 15. Let h be -1 + -1*o*1. What is the biggest value in q, -2, h?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4 - 48?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-364)\/8 - 0)*(-32 + 0). Suppose -4*p + 12*v + 60 = 8*v, 15 = -3*v. Suppose 18*q = p*q + b. What is the hundreds digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = 2*w - 40 + 122, 2 = -2*w. Suppose 3*z = -d - f, 1 = 3*z + 16. Sort 1, -4, d.\nAnswer: d, -4, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7000 = 4730*x - 4450*x for x.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 9470, 7850, 5162, 1412, -3394, -9250, -16150?\n\"Answer: x**3 - 540*x**2 - 7*x + 10016","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 144 is divided by 92.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.07 in 8, -1\/4, -2, 20?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0.1 (b) 7 (c) -0.3 (d) 0.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -308*o - 157 = -305*o - 22*t, -5*o - 75 = -10*t for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (10\/(-6))\/((-35)\/21). Sort n, -1, 3.\nAnswer: -1, n, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -679457.119 + 2.37?\nAnswer: -679454.749","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*k - 6*k - 12. Let t be (48\/(-36))\/((-2)\/(-3)). Let h(m) = -2*m**2 + 2*m - 2. Let z(b) = 2*b**2 - 3*b + 3. What is k*h(l) + t*z(l)?\nAnswer: 2*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 74 + -79. Let q(y) = 1 + 0 + 4 + 5*y + 4*y**2 + 0*y**2. Is q(j) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1, -0.4, 5, -3\/13, -0.12?\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*f - 15 + 43 = 0. Suppose n = 4*t + 1691, 25*n - f*t = 21*n + 6792. List the prime factors of n.\nAnswer: 1699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 811.9118 to the nearest 10.\nAnswer: 810","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -167\/1478340 and 73\/26018784.\nAnswer: 130093920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 142, 223, 304, 385, 466?\n\"Answer: 81*k + 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 10465*d**2 + 75*d + 13?\nAnswer: 20930","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (8 - 1) + 3\/(-1). Suppose k + 5 = -f*k. Is k at most 1\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1517 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 4 - d - 10)*(-d + d - d) + (-3 + 1 + 0)*(-3*d**2 + 2*d - 2*d) as u*d + o*d**2 + r and give o.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -18*y**2. Let g(h) = -341*h**2. Calculate i(g(p)).\nAnswer: -2093058*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that -5*j**2 + 85*j - 210 = 0.\nAnswer: 3, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 2*r**2 - 190*r + 3721. What is o(28)?\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1275 + 1275. Which is the smallest value? (a) 3\/8 (b) 3.19 (c) s (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.8 - 0.36. Let h = -0.06 - s. Which is the nearest to 5? (a) 4 (b) h (c) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9825 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 g when three letters picked without replacement from {o: 1, g: 3}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1069272, 2138549, 3207826, 4277103, 5346380?\n\"Answer: 1069277*v - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 21\/16 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -0.3, -0.03, -0.5, -281, 5.\nAnswer: -281, -0.5, -0.3, -0.03, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 19 + -17. Suppose -p*w - 3*w + 905 = 0. List the prime factors of w.\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 20 + 12. Suppose 100 + w = 6*f. What is the remainder when 41 is divided by f?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3 or -200836?\nAnswer: -200836","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -71*j = -420*j + 45719. Calculate the remainder when 338 is divided by j.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/9, 1337, 2\/9, 0.1, 2 in decreasing order.\nAnswer: 1337, 2, 2\/9, 0.1, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -164, -4\/89, 6?\nAnswer: -4\/89","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r**3 + 8*r**2 + 4*r - 5. Let b be a(7). Suppose -3*f + b = -0*f. List the prime factors of f.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6 + -4. Suppose i - 2 = s*i. Which is smaller: i or -3\/4?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((1235\/(-855))\/(26\/(-12)))\/(-25*(-4)\/(-18))?\nAnswer: -3\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -11*f**2 + 2*f + 1. Let s be a(-1). Let o be (1*s - 2)\/(-1). What is the greatest common divisor of 7 and o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1160, -1195, -1252, -1331, -1432, -1555, -1700?\nAnswer: -1867","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 6678 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -28 divided by -1925?\nAnswer: 4\/275","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 5120 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: Solve -3*h = 2*d + 18, 18774*d + 28 = 18770*d - 2*h for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 29207983579 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m**5 - 10875*m**4 + 7959130*m**3 - 2013336620*m**2 + 39020011560*m - 37014623200 = 0. What is m?\nAnswer: 1, 20, 718","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h**3 + 19*h**2 - 2*h - 37. What is d(-19)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 966001434?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -621323 bigger than -621318?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -2*s - 9. Let m(q) = -5*q - 28. Let x(v) = -3*m(v) + 8*w(v). Let j be x(10). Solve 2*d - 2*d**2 + 4*d**2 + j*d = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 442*i + 3814. Give q(-8).\nAnswer: 278","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 28 = 4*w - 2*y, 0 = -4*w - 5*y - 8. Suppose 0 = -11*m + 12*m - w. Let d(f) = -f - 1 - 2*f - f + m*f - 9*f**2. Determine d(-1).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4536047 and 1?\nAnswer: -4536047","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-10)\/12)\/((-24)\/9) and -93\/4.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 788, 1593, 2416, 3263, 4140?\nAnswer: 5053","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 16 = 4*j, 11*j - 4 = 10*j + 4*z. What is the closest to 1\/3 in 75, j, -4, -0.06?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 2)*(1092*d**3 + 72393*d**2 - 72393*d**2).\nAnswer: -2184*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 2 + 46*g - 18*g.\nAnswer: 28*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 92 - 88. Suppose -2*f + 69 = i - 2*i, o*f - 150 = -2*i. What is the lowest common multiple of 16 and f?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*s**2 - 104\/19*s + 192\/19 + 2\/19*s**3.\nAnswer: 2*(s - 6)*(s - 2)*(s + 8)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -96*d**2 - 61*d + 10787 with respect to d.\nAnswer: -192*d - 61","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10458, 41704, 93784, 166704, 260470, 375088?\nAnswer: 510564","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the first derivative of w**4\/4 - w**3 - w**2\/2 - 4*w + 58. What is x(4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 9) to base 13\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -17, -1, 902, -3 in ascending order.\nAnswer: -17, -3, -1, 902","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 16 = -4*l. Let w = -6 - l. What is the third derivative of -z**w - 2*z**6 - z**5 + z**5 wrt z?\nAnswer: -240*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34345 greater than or equal to 35368?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 2158 to the nearest one hundred.\nAnswer: 2200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a + 5*x = -33*a + 315, 3*a + 5120*x - 90 = 5117*x for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*w + 40*w = 48 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32076 is divided by 844.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 584 minutes after 7:28 AM?\nAnswer: 5:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 35 = 4*t, 3*j = -79*t + 83*t - 29. What is the smallest common multiple of t and 938?\nAnswer: 3752","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1764\/(-27))\/((-1494)\/(-2241)).\nAnswer: -98","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 4*v, -6 + 2 = -3*k - 2*v. Suppose 7*b = k*b. Solve 4*f - 18 + 6 = b for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*z**2 + 3*z**2 - 6*z**2)*(5*z - 5*z + z) + 3*z**3 - z + z + 19*z**3 + 3323 + 29*z**3 - 46*z**3 in the form c*z**3 + u + v*z**2 + y*z and give c.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v**2 - 10. Let t be o(-5). Suppose -k + 0 = -t. Is k even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 52221533.\nAnswer: 7, 13, 573863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.813 plus -0.3?\nAnswer: -1.113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h + 4*g - 12 = 0, 2*h - 2*g + 153 - 143 = 0 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*g**2 - 64*g**2 + 1 + 101*g - 38*g**2.\nAnswer: -80*g**2 + 101*g + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 364 and 8.\nAnswer: 728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 294 + -556. Let i = l + 262.414. What is i rounded to one dp?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6238 + 7288. Calculate the lowest common multiple of z and 168.\nAnswer: 4200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 5 = 10. What is the third biggest value in 2\/9, 3, g, -4\/7?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -a52c (base 15) to base 7.\nAnswer: -203541","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 10106?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i**3 + 10*i**2 + 3. Let u be d(10). Let w be (2 + (1 - u))\/(-2). Let c(m) = 2*m - 5*m + w*m. Let k(y) = -y. Calculate k(c(j)).\nAnswer: 3*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**3 + 170504576*u**2 + 3633976475122042*u + 7267952268225796.\nAnswer: 2*(u + 2)*(u + 42626143)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 651943 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 2 = -3*h. What is the nearest to -2\/3 in 1\/4, h, 1\/3?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -104 divided by -26\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 103\/25184796 and -20\/1001?\nAnswer: 277032756","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 37*m**2*n*y + 8017*m**2*n - 9*m*y - 273035*n*y - y + 12 wrt m?\nAnswer: 74*m*n*y + 16034*m*n - 9*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00012433 to 4 decimal places.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -13 in 0.53, -353, 1\/12?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3554627*h = -3554944*h - 7925 for h.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3910 - 3907. What is the nearest to -6 in q, -2\/7, 5, 7\/4?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from {m: 3, t: 1, r: 3}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 101 (base 2) to base 13\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -4*o**3 - 3*o**2 - 5*o. Let s(b) = -2*b**3 - b**2 - 2*b. Let c = 14 + -4. Suppose -4*k = 6*a - 2*a - 8, 0 = -3*k + a + c. What is k*t(q) - 7*s(q)?\nAnswer: 2*q**3 - 2*q**2 - q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-100)\/(-15))\/(-10)*-12*((-27)\/372)\/9.\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - 1152394.615.\nAnswer: -1152395.615","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1a801 - 4?\nAnswer: 1a7ca","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = -2*u + 52, 0*u + 5*u - 5*n = 55. Suppose -4*s = 15 - 31. What is the highest common divisor of s and u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 22016 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*i**5 + 4*i**5 - 4*i**5 + (16*i + 12*i + 33*i)*(0*i**4 + 3*i**4 - 2*i**4) - 8*i**5 - 25*i**5 + 15*i**5.\nAnswer: 41*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(34)\/(6*sqrt(4)\/sqrt(2)).\nAnswer: sqrt(17)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 828 is divided by 220?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 116 + -235\/2. Let t = n - -11\/10. Which is the nearest to 0? (a) -0.1 (b) 5 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25765459 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/2 - (3 + -5).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 19738 - 14b?\nAnswer: 195ba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:16 AM and 2:35 AM?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -622, -4, 0.04, -343.5.\nAnswer: -622, -343.5, -4, 0, 0.04","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 900267?\nAnswer: 3, 300089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 394681 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 3 + 6)*(a - a + a) + (-1 + 3 - 4)*(-33 + 48*a - 35 + 66).\nAnswer: -95*a + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2758 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*g = 5*g - 1460. Sort 1, -2, 3, g in descending order.\nAnswer: g, 3, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of a*n**3*z**2 + 2*a*n*z**2 - 11*a*n - a + 257*n**3*z**2 - n*z**2 wrt n?\nAnswer: 6*a*n*z**2 + 1542*n*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -12, -1.2, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the second derivative of -q**6\/10 - q**4\/3 + q**3\/2 - q**2 + 10*q - 1. Find the second derivative of o(z) wrt z.\nAnswer: -36*z**2 - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3221320 - 211020?\nAnswer: -10033000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + x + 235 = 24, 3*x + 156 = 3*i. Let q = -49 + i. Suppose p - 5*l + 4 = 40, -q*p = -2*l - 72. Calculate the greatest common factor of 80 and p.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21002014.\nAnswer: 2, 11, 37, 25801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -4*s**3 + 10*s**2 - 3*s + 1. Let f be o(1). What is the nearest to -0.1 in 5, 2\/3, f, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 37*a**2 + 30*a**2 + 29*a**2 - 94*a**2. Suppose -v + 8 = 3*v. Let y(h) = -4*h**2 + h**2 + h**v. What is p(y(s))?\nAnswer: 8*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*s + s + 3*s)*(5*s**2 + 0*s**2 + 3*s**2) + 2*s**3 + 0*s + 2*s + 0*s**3.\nAnswer: 10*s**3 + 2*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2755*m - 392212 = -9081*m for m.\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -137 + 121?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6098.\nAnswer: 2, 3049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 99892948?\nAnswer: 2, 24973237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -133260 = -5*l - 0*l. Let o = l - 1972217\/74. Calculate the common denominator of 1\/(12*1 - (6 - 8)) and o.\nAnswer: 518","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 126890 is divided by 7929.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2000 and 536425.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 4 = 1. What is the least common multiple of n and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - 2) + 24 + 12 + -36?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 - -1406528\nAnswer: 1406527.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10 is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (n + 22*n - 12*n)*(2 + 3 - 3) - 1 - n + 1 + (23*n - n + 32*n)*(2 - 2 - 2) to the form j*n + l and give j.\nAnswer: -87","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the second derivative of z**6\/15 - 17*z**5\/60 + 3*z**2 + 5*z. Let m(c) be the first derivative of o(c). What is the third derivative of m(a) wrt a?\nAnswer: 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i**2 + 35*i - 150. Let k be b(5). Suppose 13720 = 14*j - k*j. What are the prime factors of j?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = l - 16*l + 60. Suppose 5*s - 3*r = r + 3749, 0 = -5*s - l*r + 3741. List the prime factors of s.\nAnswer: 7, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cewq when four letters picked without replacement from {e: 2, c: 3, w: 1, q: 4, d: 6}.\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r, 2 z, and 1 h when four letters picked without replacement from hhhzrhhhrhzzhzhr.\nAnswer: 81\/910","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j - 5. Let a be i(8). Suppose 5*m - m + 622 = -a*o, 430 = -2*o + 5*m. Round o to the nearest 100.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (5*(-8)\/140 - (-366)\/(-42)) + -6?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 8 = 3*f - 4*l, 0 = -5*f + l + 10. Let s be (-2 - -2) + -3 + 0. Let c be (3 + 4 + s)\/f. Solve 12 = 3*u, 2*n + 28 = -c*n + 3*u for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 4 and -212\/5 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -0.199 (b) -1\/2 (c) 5 (d) -22\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-94*l**2 - 176528*l + 176528*l)*(-2 + 0 + 3)*(-2 + 2 - l).\nAnswer: 94*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1254 and 176340?\nAnswer: 36855060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3064151806.\nAnswer: 2, 1532075903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4713.\nAnswer: 3, 1571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1 + -4)*(-75)\/(-135). Which is bigger: -3 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 28 and 6388354.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 488 times -0.1\nAnswer: -48.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u + 48 = -13*l + 9*l, 4*l + 58 = 5*u for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2142 and 17901?\nAnswer: 250614","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 21 = -6. Let u(p) = -3*p**2 + 4*p. Let h(x) = -x**3 + 5*x**2 - 9*x. Let o(g) = l*h(g) - 5*u(g). Find the second derivative of o(r) wrt r.\nAnswer: 18*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -5*r**2. Let a(k) = -91929079*k**2. Calculate c(a(l)).\nAnswer: -42254777828941205*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19691 is divided by 1582.\nAnswer: 707","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 429*i*j**2*w*x**3 - 3*i*x**2 - 4*j**2*w*x**3 + 32*j**2*x**2 + 2*j*w*x**3 wrt i.\nAnswer: 429*j**2*w*x**3 - 3*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2487268770 divided by -2.\nAnswer: 1243634385","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -4*z**2 + 44*z**2 - 7*z**2. Let c(b) be the second derivative of b**4\/12 - 2*b + 20274. Determine c(a(v)).\nAnswer: 1089*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8098*c**4 + 89*c**3 - 160*c**2 - 459*c + 3 wrt c?\nAnswer: 194352*c + 534","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 3*s. Let i = 3 + -1. Suppose -8 = k - 5*c, 5*k + 1 - 5 = 3*c. Let j(b) = b**i - 2*b**2 - b**k. Determine j(w(q)).\nAnswer: -18*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1 and 5797?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2322113.\nAnswer: 2322113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -14966 - -30381. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/4 + (-1220)\/(-80). Solve 3*u + t = -0*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -5*a + a. Let u(c) = -6*c + 2. Give u(a).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10223809 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -54994 rounded to the nearest ten thousand?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, -6, -3, 26, 4, -18 in descending order.\nAnswer: 26, 7, 4, -3, -6, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (0\/(-2) - 3) + 5. What is the third derivative of 12*v**2 - 8*v**2 + 2*v**3 + k*v**3 wrt v?\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 22174.19um?\nAnswer: 0.02217419","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 2*j**3 + 38*j**2 + 66*j + 784. What is u(-18)?\nAnswer: 244","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2503101.\nAnswer: 3, 834367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-6*(-15)\/21)\/((-7)\/(-49)). Calculate the highest common divisor of s and 255.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 11*u**2 + 15*u - 150. What is the units digit of y(29)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1634 - -554. Let i = x + -8679\/4. Find the common denominator of i and 19\/10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -152 - -243. Suppose o*p = 86*p + 60. Solve -2*y - p = y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:28 PM and 3:07 AM?\nAnswer: 279","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = -111 - 73. Calculate the remainder when 89 is divided by n.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - (-4 + (5 - 5) + 9)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 39 + -25. Suppose k = 5*k - 84. Let d = -3 + k. What is the lowest common multiple of d and u?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11378 divided by -9\nAnswer: 11378\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-10)\/(-8))\/((8\/(-28))\/((-368)\/(-161)))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17475*a + 391537*a + 2014559*a + 2530347*a.\nAnswer: 4953918*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 9\/(-6)*(1 + 1). Let m be 0\/2 - (h + 4). Which is greater: m or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i**3 - 54*i**2 - 585*i + 731. Calculate p(63).\nAnswer: -403","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-35)\/35*(0 - 30\/(1 + 1))?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/(-12))\/((-1)\/3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 657 minutes before 4:28 AM?\nAnswer: 5:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 94938, 94824, 94630, 94356?\n\"Answer: -40*l**2 + 6*l + 94972","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(2\/15)*x*x*x\/(x**(-4\/7)*x))\/(x**(4\/3)*x\/x**(-3)) assuming x is positive.\nAnswer: x**(-92\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 5948079390 to the nearest 1000000.\nAnswer: 5948000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f**3 - 78*f**2 + 28*f + 2184. What is s(-78)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h**3 + 3*h**2 + 26*h + 14. Let j be r(7). Suppose j = -27*v + 59 + 265. Calculate the least common multiple of v and 258.\nAnswer: 516","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1003443 (base 6) to base 5\nAnswer: -3004400","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5\/24 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 19*o - 1. Calculate the remainder when y(1) is divided by 54\/12*1742\/603.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -6*d**3 + 8*d**2 - 4. Let q(p) = -p**3 + p**2 - 1. Let s(k) = 5*q(k) - t(k). Determine s(2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1559 is divided by 271.\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Add -3088.3 and -4.\nAnswer: -3092.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 56183a (base 12) in base 2?\nAnswer: 101001110110101101110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 117 divided by -6.\nAnswer: -39\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -342 - -321 - 2*-13\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve b = -3*x - 14, -5*x = -0*b - 6*b + 31 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 154 is divided by (-4)\/(55\/(-135) + (-3)\/(-9))?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d**2 - 9*d + 15. Let i be q(6). Sort i, 5, -5, 1 in descending order.\nAnswer: 5, 1, i, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.899881 - 0.9. Round x to 5 dps.\nAnswer: -0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 83206804?\nAnswer: 2, 20801701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the second derivative of -275*j**3\/6 - 150*j**2 + 625*j. What is the first derivative of u(i) wrt i?\nAnswer: -275","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -14037\/1090 + 63\/109. Calculate the common denominator of 49\/22 - 2 - -2 and y.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 374782703 to the power of 1\/8, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21923 is divided by 24.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -37595.210547 + -0.08.\nAnswer: -37595.290547","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -45, -13, 47, 141, 275, 455, 687, 977?\nAnswer: 1331","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zttttzzztzzzzzrrtt. Give prob of picking 2 t and 1 r.\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 5847 to the power of 1\/3, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put together 2.799088288956 and 4.8.\nAnswer: 7.599088288956","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = -3 - 3. Which is the closest to 0.1? (a) f (b) 1.5 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 966\/15 - 10\/25. Suppose -b = -10*c + 16. What is the remainder when 10 is divided by c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15774853 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vjvjjvjvjjvjjdvdvj. Give prob of sequence vjdv.\nAnswer: 7\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i - 25*x + 26*x - 8 = 0, -2*i = 4*x + 8 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 14 and 385.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2734408 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 106 + -64?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5084 and 1816228.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 61 - 35. Suppose r - 7 = q. Let b be 14\/49 + r\/7. Solve b*n = -7 - 8 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 451\/3 + -149. Let k be 3\/(-4)*(-1)\/(-3). What is the smallest value in k, y, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ten thirds of a year in months?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 604 + -609. Let l be 38\/247 - h\/(65\/154). What is the greatest common factor of 24 and l?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 198 and 3168?\nAnswer: 3168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 1, u: 2, r: 8, p: 1, w: 1, g: 3}. Give prob of picking 2 g and 1 w.\nAnswer: 3\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -315*m + 60*m**2 - 22*m**2 - 19*m**2 + 5*m**2 + 315*m - 27*m**2.\nAnswer: -3*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6904, -6919, -6940, -6973, -7024, -7099?\nAnswer: -7204","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -945705 divided by 2\nAnswer: -945705\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*-6*sqrt(32))**2.\nAnswer: 28800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + -5 + 1 - 2 - -2?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-20)\/(-3)*(-165)\/88*2?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2243*w = 2219*w - 216 for w.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 3*k = 3*f - 138, -f = 2*k - 46. Suppose f*b - 12 = 40*b. What is the units digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3224681, -6449371, -9674061, -12898751?\nAnswer: -16123441","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2201 and 31.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 7589172 divided by -1426\nAnswer: -5322","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve i - 4*h = -13, h - 4 + 30 = 10*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve p = -3*w + 28, 4*w = 24*p - 28*p + 32 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 229 is divided by 39?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*n - 12*h - 290 = 34*n - 62*n, -4*n = -2*h - 30 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -3*k. Let a(l) = 3*l - 49. Let n be a(15). Let u(c) = 8*c + 1. What is n*u(q) - 11*o(q)?\nAnswer: q - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -73868 (base 10) in base 2?\nAnswer: -10010000010001100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 0*k - 3*k = -10, 0 = -3*w + 3*k - 6. Let u be (7 - 13)*w\/(-16)*-2. Let o = 0.03 - 0.03. What is the closest to o in u, 1, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 79254363 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (492\/(-36))\/(1904\/96 + 4 - 24).\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -13*f - 32. What is i(-3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 2668 divide 2136462364?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 5*l**2 - 6*l + 6. Let u(i) = -i**3 - i**2 - 1. Let t(a) = h(a) - u(a). Let k be t(-7). Solve -7 = -2*o + 3*c, k*o + 4*o - 6 = -2*c for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rr when two letters picked without replacement from {r: 2, o: 16}.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(-5*5*(0 + sqrt(108)) - (-2 + 1*sqrt(108) - -5*sqrt(108)*2)))**2.\nAnswer: -3456*sqrt(3) + 559888","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a**3 + 212*a**2 - 869*a - 1046. Determine k(-216).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3 + 188875\/(-2))\/(8 - -1). Let s = u + 10497. Calculate the common denominator of 3\/((-54)\/(-435)) - 3 and s.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/7*p**3 + 1\/7*p**4 + 0*p**2 + 0*p + 0.\nAnswer: p**3*(p + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 134575747 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gkku when four letters picked without replacement from bgbukgkbggb?\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 355 + 364 - 720 + 0*f + 26*f. Let u(q) = -q - 29. What is u(a(s))?\nAnswer: -26*s - 28","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 12*p**2 - 252*p - 2355. Determine n(28).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Add -3096.182586 and 23.\nAnswer: -3073.182586","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -72119499*j**4 + j**3 + 144970*j + 628 wrt j?\nAnswer: -865433988*j**2 + 6*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41 + 90 = -j. Let m = j - -134. Solve -3*y = -m - 3 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -2*r**2 - 2*r + 629. What is the remainder when n(0) is divided by 126?\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z**2 + z + 3. Let d be p(0). Let m be 16\/d - 8\/24. Suppose m*b - 79 = 2*v, -5*v = 6 + 4. What is the units digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5 + 1055?\nAnswer: 1062","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 divided by -129?\nAnswer: 17\/129","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - 2*b)*(-b**2 - 4*b**2 - 5*b**2)*(b - 2*b + 0*b) + (0*b**3 + 3*b**3 + b**3)*(-2*b + b + 4*b + 3*b - b + 0*b + (2*b + b - b)*(-4 + 5 - 3)).\nAnswer: -16*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.06 from -2864.\nAnswer: -2864.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 25107296 to the power of 1\/3, to the nearest integer?\nAnswer: 293","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 19*p**3*x*z**2 - 9*p**3*x + 48*p**3*z + 3*p**2*z**2 wrt x.\nAnswer: 19*p**3*z**2 - 9*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 2 + -2*sqrt(17).\nAnswer: -2*sqrt(17) + 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o**3 - 36*o**2 - 162*o - 194. Calculate l(-31).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -13\/2972 or 1?\nAnswer: -13\/2972","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 51 a factor of 119124?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 125857, 125852, 125837, 125806, 125753, 125672, 125557, 125402?\n\"Answer: -q**3 + q**2 - q + 125858","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 200654 = 2721*o - 5168*o for o.\nAnswer: -82","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 7 = -2*n + 6*n, 0 = -5*n - 5*b - 5. Suppose n*l = 2 + 10. What is the units digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**16\/(u*u**(2\/17)*u))\/((u\/(u**19*u*u))\/u**(-13)) assuming u is positive.\nAnswer: u**(355\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 9206693 (base 10) in base 11?\nAnswer: 5219141","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(3 + (1 - 3))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 2 = 6, -2*m + 86 = 2*w. Find the third derivative of 22*i**5 + 26*i**2 + 17*i**5 + 16*i**6 - m*i**5 wrt i.\nAnswer: 1920*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 367 minutes before 2:07 PM?\nAnswer: 8:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 0*a - 5*k - 118 = 0, -4*a - 5*k = -98. Suppose -a = -6*o + 3*o. Let t = 42 + o. Does 17 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*t + 78 = 4*g, 43*g + 87 = -4*t - 39*g - 50*g + 137*g for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -108850 divided by -41\nAnswer: 108850\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = -4*p + 5*h, -28*h = 2*p - 31*h - 8 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 43004*t + 1161096. Determine u(-27).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 456 is divided by 156?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3 - -237?\nAnswer: 234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 5*x - 371. Suppose 2*s + 76 = 3*q - 155, x = q - 4*s. What is the tens digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:37 AM and 4:21 AM?\nAnswer: 44","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 371 minutes before 9:18 AM?\nAnswer: 3:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/((-25)\/(-6)))\/((-2)\/10)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -9 or -1?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the third derivative of -42*c**2 + 0*c + 11\/24*c**4 + 0 - 11\/2*c**3. Find the common denominator of j(0) and 65\/44.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 + 3 = -2*b - 4*w, 2*w = -5*b - 12 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -4*b**2. Let x(r) = -340*r. What is x(f(v))?\nAnswer: 1360*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 20 = 6*f - 4*f, -f + 30 = -5*w. Suppose -3*n - 5*y + 9 = 0, -3*n - f*y = 2*n - 25. Solve -3*j = j - n for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5093*q**2 + 2551*q**2 + 2546*q**2.\nAnswer: 4*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -447392 divided by -13981?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 2)*(d - 4 + 4 - d + 3 - 3 + (5 + 1 - 4)*(-d + d + d) + 0 + 0 + 2*d + 0*d + 2*d - 3*d)*(d**2 - 2*d**2 + 3*d**2).\nAnswer: -12*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(378) - -2*sqrt(378))*-6)\/sqrt(6)*-3)\/((sqrt(54)*-3)\/sqrt(6) - (sqrt(9) - (sqrt(324)*1 + sqrt(324) - sqrt(324)))).\nAnswer: 27*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7 + -6. Let l(k) = -23*k + 80. Let h be l(3). Suppose -4*p + h*p - 35 = 0. Solve -x + p = b for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 + (-43 - (-13 + 27 + 0) - 1)\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -495614652\/1662481 + -16\/97793. Suppose 3*f + 289 = -605. Let p = l - f. Sort p, -0.3, -0.1 in increasing order.\nAnswer: -0.3, p, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 65 and 260.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 2*h**2. Let v(l) = -l**2 + 18*l - 13. Let j be v(17). Let u(c) = -8*c - j*c + 10*c. Calculate b(u(k)).\nAnswer: 8*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -620, -859, -1098, -1337, -1576, -1815?\nAnswer: -2054","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -64 - -99. Suppose -4*y - y = 5*j - z, -4*j + 26 = 3*y. Suppose 0 = 2*k - 4*u - 56, 26 = 2*k - y*u + 4*u. Is 7 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 673850\/11 or 61260?\nAnswer: 673850\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -84*v**3 - 58*v**3 - 15*v**2 + 133*v**3.\nAnswer: -9*v**3 - 15*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 461965?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 16*u**3 - 40*u**3 - 66*u**3 + (-2 + 3 - 2)*(0*u**3 + 3*u**3 - 2*u**3) + 2 - 2 - 2*u**3.\nAnswer: -93*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:09 AM and 8:08 PM?\nAnswer: 599","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 55156383 + 549*f**2 - 1\/3*f**3 - 301401*f.\nAnswer: -(f - 549)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the third derivative of l**6\/30 + 88*l**5\/15 - 271*l**4\/6 + 364*l**3\/3 + 101*l**2 - l. Factor s(b).\nAnswer: 4*(b - 2)*(b - 1)*(b + 91)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 minutes before 11:54 PM?\nAnswer: 11:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1753535611 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 149161585.\nAnswer: 5, 29832317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -q**2 + 2*q + 33. Let v be l(-4). Solve 0 = 2*d - 5*d - v for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13466 (base 9) to base 15\nAnswer: -2a8c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/8)\/((750\/(-48))\/((-85)\/(-204))).\nAnswer: 1\/100","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-214)\/(-9) - 4\/(-18). Suppose 90 = 3*m - o. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -17 + -47 + (177 - 78)?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -21512, -40183, -56010, -68993, -79132?\nAnswer: -86427","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 537*c - 105845 - 85297 = 2868*c for c.\nAnswer: -82","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:00 PM and 6:10 AM?\nAnswer: 490","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i**3 + 33*i**2 + 140*i - 2. Let o be w(-28). What is the second biggest value in 5, o, 13?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/25 of a millennium in months?\nAnswer: 3840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the third derivative of -31*t**5\/60 + 13*t**4\/6 - 105*t**2. What is the second derivative of y(z) wrt z?\nAnswer: -62","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -0.3 (b) 0.2 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f, 2 i, and 1 k when four letters picked without replacement from diiibiiklfiidib?\nAnswer: 4\/195","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 75426.\nAnswer: 2, 3, 13, 967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 - 46*q**2 + 127*q**2 + 2 + 54*q**2 - 47*q**2 to m*q**2 + a*q + o and give m.\nAnswer: 88","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 38 + 33 = -k, -3*k - 5*b - 29 = 0. Put 5, -6, 96, k in decreasing order.\nAnswer: 96, 5, k, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkkkkkkkkkqkkkkkkkkq. Give prob of picking 1 q and 2 k.\nAnswer: 51\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express g**2 - 5*g**2 + 0*g**2 in the form j*g**2 + r + a*g and give j.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2513 and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -105 - -452. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23*4\/(-10)*19\/(-266)*-7?\nAnswer: -23\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g**3 + 5*g**2 - 5*g + 5. Let d be l(-6). Let o be 0\/(-1) - (d - 2). Let p be (((-36)\/33)\/o)\/2. Is 1 bigger than p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 96 a factor of 20543?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1664*t**6 - 144*t**2 + 2 wrt t?\nAnswer: -199680*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 84957347?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-2\/3)\/h*h*h**4)\/((h\/((h*(h\/(h*h**1))\/h*h)\/h)*h)\/h*h*h**(1\/12)))\/((h*h**(1\/3))**(-10))**(-17) assuming h is positive.\nAnswer: h**(-2717\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*j - 6. Let y be (-1)\/j - (-1357)\/69. Calculate the greatest common divisor of y and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 45? (a) 172 (b) 1 (c) 0.1 (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 2053.242995 to the nearest ten.\nAnswer: 2050","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1230 - -1226. What is the closest to 1\/3 in -20, 0.2, l?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 20.1 - 1.1. Let j = 18.9 - s. What is the third biggest value in 0.9, -5, j?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.15 - -0.167. Let v = j - -4.983. What is the smallest value in -2\/17, v, 2?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8380.47 - -8309.77409. Let o = -70.7 - y. What is o rounded to 4 dps?\nAnswer: -0.0041","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1037119.\nAnswer: 17, 61007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5 - -7. Factor 3*c**4 - c**5 + c + c**4 + 2*c**2 - 4*c**x - 2*c**4.\nAnswer: -c*(c - 1)**3*(c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 4 = 8. Suppose -y = 3*c + 2*c - 50, 3*c = -j*y + 115. What is the units digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f*f**18*f**(1\/10) assuming f is positive.\nAnswer: f**(191\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = -4*a + 26, -5*a = 4*h - 10 - 3. Let k(l) = l**2 - 4*l - 3. Calculate the remainder when 2 is divided by k(a).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*t**3 + 1635*t**2 + 79200*t + 897820.\nAnswer: -5*(t - 371)*(t + 22)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1 - (-1 - 1) - 2. Which is smaller: 1\/6 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 8181981 to the nearest integer?\nAnswer: 202","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (-3*(sqrt(84)*1 - sqrt(84)))\/(sqrt(56)\/sqrt(200)))**2.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*z + 3*z - 4*z)*(5 + 6 - 6) + (-z - 2*z + 4*z)*(11 + 1 - 3)*(3 - 2 + 2 + 1 + 1 - 4 + (1 + 3 - 3)*(3 - 2 + 3)) to the form o + g*z and give g.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 655*t**4 + 7*t**3 + 7*t**2 + 7*t + 1345. Let s(x) = -436*x**4 - 5*x**3 - 5*x**2 - 5*x - 897. Let r(m) = 5*i(m) + 7*s(m). Differentiate r(y) wrt y.\nAnswer: 892*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1749, 3506, 5265, 7026, 8789, 10554, 12321?\nAnswer: 14090","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.46? (a) 1\/5 (b) -0.1 (c) 325 (d) 1\/43 (e) -0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 15 - 12. Suppose v*f = 100 + 167. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 16590 and 4582.\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 190a + -1a24b?\nAnswer: -18541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -3*m**2 - 6*m + 4*m**2 + m. Let v(w) = -w**3 + 8*w**2 + 17*w + 34. Let x be v(10). Calculate t(x).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*v - 165 = -37. Solve 22*c = 26*c - v for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m**2 - 8*m + 1. Give d(-9).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -14736 divided by 1\nAnswer: -14736","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(-1))\/(102\/2652)*(24\/(-8))\/6\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -82*(-4)\/48*-4*(-57)\/3192*-84?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10 + 4 - 0) + 4 + -15?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 6*l**2 + 6*l + 5. Let n(q) be the first derivative of -7*q**3\/3 - 7*q**2\/2 - 6*q + 2. Let s = -13 + 7. What is s*t(x) - 5*n(x)?\nAnswer: -x**2 - x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-564)\/1645*(-35)\/(-15).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 255\/18 - (-4)\/(-24) is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -0.4, 0.2, -8, 1, 2, 18?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5363257495?\nAnswer: 5, 17, 227, 277961","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 61 = -5*d, -2*k + 2*d + d = -66. List the prime factors of (k\/6)\/(1\/2).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -306846.99 rounded to the nearest 10000?\nAnswer: -310000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 1, q: 6, p: 4}. What is prob of picking 3 q?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = 2*b + 3*b - 13, -3*b + 13 = -4*y. Let x = -1368 + 1376. Put x, y, -5 in ascending order.\nAnswer: -5, y, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q*q**1*q*q**(2\/7)*(q**(-6)\/q)\/q**6*(q*(q\/((q**3\/q)\/q)*q)\/q)\/(q\/q**(-8))*(q\/(q\/q**(-2)))\/(q**(3\/4)\/q) assuming q is positive.\nAnswer: q**(-545\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 88 - 157. Let w = 0.085 - -62.915. Let t = w + z. Which is the third biggest value? (a) 0.2 (b) t (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -243 + 244. Suppose -5*w = -5*h - 39 + 4, h = -1. Let x(c) = -c**2 + 7*c + 5. Let k be x(w). Solve i - k = -5*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 11, p: 3, f: 4, i: 1}. What is prob of picking 1 q, 1 i, and 1 p?\nAnswer: 11\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -78*n + 87 = 2*j + 5*n, 5 = 4*j - 15*n + 12*n for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 242*r**2 + 14*r**2 + 97*r**2. Let g(l) = -l. Determine f(g(s)).\nAnswer: 353*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1039018?\nAnswer: 2, 519509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j**3 - 2*j**2 - 10*j - 8. Let m be (1\/(6\/2))\/((-15)\/(-270)). What is the tens digit of t(m)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2212011 (base 3) in base 4?\nAnswer: 200203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 51786 + -20?\nAnswer: 51766","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4150 is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the first derivative of -25*f**6 + 7*f**3\/3 - 6*f - 345. What is the third derivative of t(h) wrt h?\nAnswer: -9000*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, j: 1, v: 1, f: 1, y: 1}. What is prob of sequence ym?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2 - (-36)\/16)*4. Let s(c) = -2 + 383*c + d - 385*c + 1. Let f(w) = 207*w. Calculate f(s(r)).\nAnswer: -414*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 3261 (base 11) in base 4?\nAnswer: 1003032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -844\/5317 + 2\/409. Let q be (-2 - 24\/(-15))\/2. Which is the biggest value? (a) q (b) n (c) 0.5 (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 4311730387?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -43, -460, -1591, -3790, -7411, -12808, -20335?\n\"Answer: -59*u**3 - 3*u**2 + 5*u + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*w = 4*w - 436. Let v be (4\/((-32)\/612) - 1)*2. Let s = w - v. List the prime factors of s.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 178 and 15664.\nAnswer: 15664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -18011*n**4*r - 5*n**2*r - 481239*r wrt n.\nAnswer: -72044*n**3*r - 10*n*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*f**3 + 3*f - 3*f**3 + 0*f**3.\nAnswer: -f**3 + 3*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*n**2 + 2*n - 2*n)*(-49*n + 49*n + 8*n**2).\nAnswer: 16*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 50826252 rounded to the nearest one hundred thousand?\nAnswer: 50800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3394 and 3582367?\nAnswer: 7164734","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 30*j**6*v**3 + 50750*j**6 - 908371*j**2 - 5*j*v**3 wrt j?\nAnswer: 3600*j**3*v**3 + 6090000*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 71\/9 + (-9)\/(-81). Let z(q) = -3*q + 25. Let t be z(f). Which is the smallest value? (a) 0 (b) t (c) -12\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -4*z - 2. Suppose -16 = 10*q + 4. Let t = 17 + -28. Let j(m) = 20*m + 11. Let g(k) = q*j(k) + t*d(k). Let v(h) = 2*h. Give g(v(b)).\nAnswer: 8*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -60 - -64. Calculate the greatest common divisor of 60 and k.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uuu when three letters picked without replacement from oobubbbuoboobuubb.\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = -5*c + 25, 0 = 5*l - 3*l + 2*c - 12. Suppose 0*t = -3*t. Let d be 16\/2 + (-29 - -25). Put d, l, t in increasing order.\nAnswer: t, d, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4 - -3. Let l be 14\/(0 - (-2)\/6). What is the highest common divisor of w and l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -29723250.14 rounded to the nearest one hundred thousand?\nAnswer: -29700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -1654*q - 85997. Give u(-52).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the second derivative of -13\/2*x**2 + 7*x - 1\/6*x**3 - 1 + 0*x**6 + 0*x**4 + 0*x**5 + 6\/7*x**7. What is the second derivative of f(g) wrt g?\nAnswer: 720*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -326 (base 8) to base 14\nAnswer: -114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i**2 - 40*i + 161. Let c be n(46). Which is smaller: c or 445?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 114420222 (base 5) in base 10?\nAnswer: 545062","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 8*(21\/(-9) + 2\/(60\/25))\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q - 4*x = -q + 7, 4*q - 17 = 5*x. Suppose 3*g - 12 = 0, -468 = q*t + 2*t - 2*g. Let z = 645\/7 + t. Which is the nearest to 2? (a) -2\/9 (b) 2 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (28 - (-756)\/(-21) - 192\/(-25))*5\/(-4). Factor -m**3 + l*m + 0 - 9\/10*m**2 + 3\/10*m**4.\nAnswer: m*(m - 4)*(m + 1)*(3*m - 1)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6234712\/5 - 2\/5. Let q = v + -362859728\/291. Let d = 2\/97 - q. Which is bigger: d or 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 216849 = 5*v + 45374, v + 4*l - 34277 = 0. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*x**2 - 1061982*x - 60523227.\nAnswer: -3*(x + 57)*(x + 353937)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 9, e: 10}. What is prob of sequence et?\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 0.09536 - 13383129\nAnswer: -13383128.90464","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/4*695736\/108. What is m rounded to the nearest 100?\nAnswer: -3200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) -0.5 (b) -5 (c) 350\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 87 - -316. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*h**5 - 5*h**4 + 425*h**3 - 1375*h**2.\nAnswer: -5*h**2*(h - 5)**2*(h + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -128.9368 - -129. What is o rounded to two dps?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 3864?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f + 345 = 310 for f.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (4608\/60)\/(-8)*374\/(-6). Let i = u + -599. Put 0.5, 2.7, i in descending order.\nAnswer: 2.7, 0.5, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 334430 rounded to the nearest one hundred thousand?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*v + 3*j - 2, 1066*v - 1071*v + 3*j = -26 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 71*c + 676. Let s(q) = 24*q + 218. Calculate -2*g(r) + 7*s(r).\nAnswer: 26*r + 174","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 4, -117.95, 2\/7, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -100*c - 24 = -98*c + 4*y, 4*c - 22 = 2*y. Solve 27*j - 24*j - 5 = w, 0 = 5*w - c*j + 12 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-7)\/14*2*6\/(-2). What is the highest common factor of 1 and o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.6, 0, -1, 0.1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -212241 + 14344?\nAnswer: -153453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 45311 - 8522. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3d3 (base 15) to base 2.\nAnswer: 1101101001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -2*x, 0*l + l - 158 = -5*x. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 - 5*c**3 + 4 + 6*c**3.\nAnswer: c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -57 + 4*y + 2*y**2 - 31 - y + 1 - 2*y**4 as c*y**3 + h + m*y + l*y**2 + g*y**4 and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 13513 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (7\/(-35))\/((-24)\/(-300))?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 2*n**3 + 3*n**2 - 39*n - 5. Let m be j(5). Suppose -111*o = -m*o + 13062. What are the prime factors of o?\nAnswer: 3, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 2880\/(-27)*12*(-3)\/15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*h**3 - 9579*h**2 - 4586904*h + 917764 = 0. Calculate h.\nAnswer: -958, 1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 45 - -3. What is the units digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1209 is divided by 218?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*i**2 + 2871*i + 47940 = 0. What is i?\nAnswer: -940, -17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 2\/55030637?\nAnswer: 2\/55030637","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 7, w: 2}. Give prob of sequence pppp.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1877177794 to the power of 1\/6, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9\/7*x**2 - 3 + 1\/7*x**3 + 11\/7*x.\nAnswer: (x - 1)*(x + 3)*(x + 7)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 341 and 184698.\nAnswer: 2031678","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 246 minutes before 12:03 AM?\nAnswer: 7:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from {y: 2, p: 9}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s, 2 z, and 1 o when four letters picked without replacement from zqqqhszzoqhqzzzzqs?\nAnswer: 7\/510","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that -18\/5*f**2 + 0*f + 3*f**3 + 3\/5*f**4 + 0 = 0.\nAnswer: -6, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d**2 + 4*d. Let v be q(-2). Let l be v\/(-2) - (-1 - 20). Suppose t + 3*y = 3*t - 35, l = t + 4*y. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24100 rounded to the nearest 10000?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -572*u - 608*u - 5342 - 30058 for u.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 5\/(180\/(-8)) - 94\/(-18). What is the third smallest value in 1, -2, 4, k?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a**3 - 21020*a**2 + 748980*a + 5251680 = 0. What is a?\nAnswer: -6, 42, 4168","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -35 (base 11) to base 15.\nAnswer: -28","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*d + 602923 + 174868 = 0. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1779911 minus -1?\nAnswer: -1779910","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -1022102012 (base 3) to base 7\nAnswer: -135161","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.66 - 0.6. Let w = z + -2.06. Let j = 0.2168 + -0.2168. Which is the closest to 1\/2? (a) j (b) -3\/2 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 2*y - 2 = 0, 5*y + 5 = 5*a. Let n = a + -6. Put 2, 1, n in decreasing order.\nAnswer: 2, 1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 845697887 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (243\/36)\/((-3)\/40). Is (15\/6)\/((-3)\/v) a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*a**3 - 5*a**5 - 4*a**3 + (-1 + 1 + 12)*(3*a**5 + 2*a**5 - 4*a**5).\nAnswer: 7*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -75660.20103 - 0.4\nAnswer: -75660.60103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the first derivative of h**2\/2 + 20*h - 10. List the prime factors of q(9).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 - 2*t + 1)*(-2*t**2 + 0 + 0) - t**3 - 5*t**3 + 0*t**3)*(-2 - 1 + 5)*(1 - 4*t - 6 + 7).\nAnswer: 16*t**4 - 8*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*l**2 - 10*l**2 + 6*l**2)*(-9 - 14 + 2) + (0*l - 2*l + l)*((2*l + l - 2*l)*(-3 - 1 + 5) + 2*l + l - l).\nAnswer: 186*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (27 - 24 - -12) + -5 + 0 - 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -938.83 - -939. Let m be 0\/3 - 2\/6. Which is the third biggest value? (a) n (b) m (c) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -232 at least -234?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 16 + -10. Suppose 4*d = -5*g + 39, -2*d + 3*d = g + 3. Is 13 a factor of n\/(-9) - (-2 + (-538)\/d)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -4\/1464973 = 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 151 (base 6) to base 16\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -34*h**3 + 0*h**2 + h**2 + 2427*h - 2435*h + 4. Let m(p) = -33*p**3 + p**2 - 6*p + 3. Let c(w) = 3*k(w) - 4*m(w). What is c(-1)?\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/4 in -1843\/4, -2\/27, 1, -3?\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 37, 73, 113, 157, 205, 257, 313?\n\"Answer: 2*p**2 + 30*p + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -2*t - 1. What is the remainder when u(-8) is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-220)\/((-44)\/2)*9\/6.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-2)\/(-5) + 152*13\/1560)*7938?\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2113?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3 - (-132 + -16 - -10) is divided by 34.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-13)\/(-12) - -1) + 714\/(-2856)?\nAnswer: 11\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 1 - 1)*(-4 + 2 + 4)*(-7*y**3 - 5*y**2 + 5*y**3 + 4*y**3) as s + w*y + a*y**2 + n*y**3 and give n.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 t when two letters picked without replacement from {e: 1, d: 2, t: 4, l: 3, v: 2, a: 6}?\nAnswer: 8\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 6761 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 219 or 10328\/47?\nAnswer: 219","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2409 and 19833?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 95 = 29. Let i = 29 - v. What is the highest common divisor of 28 and i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -9 - (-19 + 11) - 4.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h**3 + 26*h**2 + 2*h + 26. Suppose 66*o = 51*o - 390. Calculate s(o).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 26658?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t**3 - t**2 - t + 2. Let k(b) = -16*b + 2 + 3*b + 10*b + 8*b. Let o be k(1). Let q = -5 + o. Determine j(q).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 198?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1013277.\nAnswer: 3, 337759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = w**2 + 9*w + 17. Let x(l) = -2*l**2 - 42*l + 139. Let c be x(3). Calculate z(c).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 77017138 to the nearest integer?\nAnswer: 425","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 121517\/3 bigger than -0.08?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let -135*u**5 - 912*u**4 + 2661*u**3 - 594*u**2 = 0. What is u?\nAnswer: -9, 0, 11\/45, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/8? (a) 21 (b) 11 (c) 2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 10251*i**2*q**3 + 5036*i**2*q**2 + 270*i**2*q - 5*i**2 + 29*i*q - 19*i - q + 1 wrt q.\nAnswer: 61506*i**2*q + 10072*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that 4*x**4 + 216*x**3 + 1188*x**2 + 1728*x = 0.\nAnswer: -48, -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -3.7685 - -0.5\nAnswer: -3.2685","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Are 433 and 1\/4 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -14 + 13. What are the prime factors of (-226)\/(-12) + i\/(-6)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1 + 4 + -4 + 454\/(-574). Let h = 5401\/5740 + w. Calculate the common denominator of (74\/(-50))\/((-6)\/15) and h.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-9165011)\/(-3726640) + 1*9\/15. Let q = 4\/1259 + p. Find the common denominator of q and 71\/24.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -566*z**3 - 2688*z + 2688*z + (-4*z**3 - z**3 + 2*z**3)*(0 + 3 - 2) + z**3 - 2*z**3 + 6*z**3 to the form p + f*z**2 + x*z**3 + n*z and give x.\nAnswer: -564","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 18230 - 4?\nAnswer: 18226","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4 - 3.8. Let v = -2.7 - -2.59. Let m = v - -0.21. Which is the closest to m? (a) -0.5 (b) n (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**2 + 32*z.\nAnswer: z*(z + 32)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 3876*b**3 - b**2 + 11*b - 13. Is k(2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 9812 and 44.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -1278, -1277, -1276, -1275, -1274, -1273?\n\"Answer: c - 1279","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2969 (b) -1\/7 (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = 3*b + 3*p + 14, 2*p = -2 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 196551606?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 315772764 by -157886382.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4*f*g**3*r + f*g**3 - 6*f*g**2 - 89112*f*r - 23563*g with respect to r.\nAnswer: -4*f*g**3 - 89112*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -85 + 81 - ((-52)\/117 - 598\/153).\nAnswer: 6\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6744048 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 19 divided by -1790443\nAnswer: -19\/1790443","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -84533*x - 82136*x + 70354*x.\nAnswer: -96315*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 84854 is divided by 58.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3 - 1. Let s = -4.0000015 - j. What is s rounded to six dps?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wdttwdwddttkddwtwt. What is prob of sequence ww?\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -173\/20413530 and 53\/2?\nAnswer: 20413530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 85*c**4 + 385*c.\nAnswer: 1020*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-14)\/8 - 1\/4. Let x be -3*(-10)\/15*1. Which is the third smallest value? (a) -0.2 (b) x (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = m + 6*o - 21, 3*m + 4032*o = 4037*o - 29 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*j**3 + 16*j + 22*j**3 - 16*j.\nAnswer: 29*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -121\/168 and 111\/40.\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 c when two letters picked without replacement from ttytttncjtycttttdtn?\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 73091 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -28*w**2 + 627*w - 2841. Calculate p(16).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the second derivative of -40*f**7\/21 + f**4\/12 - 99*f**2\/2 + 5*f + 1. Find the third derivative of l(w) wrt w.\nAnswer: -4800*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is p in 5*p**3 + 35*p**2 - 140*p + 100 = 0?\nAnswer: -10, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + d + 20 = 0. Let n = d - -8. Find the third derivative of -4*v**n + 3*v**2 - v**2 + 2*v**4 wrt v.\nAnswer: -48*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 5*l - 79 = -0*o, -l + 130 = 5*o. Let r be 2\/(-4) - o\/(-6). Suppose v**4 + 0*v**r - 2*v**2 + v**4 = 0. What is v?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -29, 4, 55, 124?\n\"Answer: 9*o**2 + 6*o - 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 257 by -5.\nAnswer: -257\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) -387 (b) 1\/5 (c) 2\/149\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 203420 is divided by 1627.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1029*f - 1022*f - 14 = 0. Solve -2\/3*b**f - 10\/3*b - 4 = 0 for b.\nAnswer: -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -613*r - v = -610*r - 11, -4*v = r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 3, p: 4}. Give prob of sequence nn.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Do -253462 and -253554 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 30812590 to the power of 1\/2, to the nearest integer?\nAnswer: 5551","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*f**3*u**2 + 5*f**3*u*y**2 - 279*f**3*u + 105*f**2*u**2*y**2 + f*y - 2*u**2*y wrt y.\nAnswer: 10*f**3*u + 210*f**2*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 204 = -2*s - 4*g, s + 36 = 2*g - 58. Let c = s + 120. What is the units digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -169530860.000000496 - -169530781. Let c = 56 + 23. Let v = k + c. What is v rounded to seven dps?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -241*v**2 - 11*v - 5. Let d(l) = 483*l**2 + 19*l + 9. Determine -4*d(q) - 7*n(q).\nAnswer: -245*q**2 + q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i, 1 n, and 1 k when three letters picked without replacement from ttnnnsiiknrsn.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 152948?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 - -15 - 10) + -1?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*w = -8*w - 468. What is the highest common divisor of w and 39?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(833) + -3*sqrt(833) + sqrt(833))*4 + 2 + (sqrt(170)\/(sqrt(10)*-2) - (-2 + sqrt(17))**2*6).\nAnswer: -128 - 9*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-63)\/14*(-20)\/45. Solve -4*g + 3*x = 2*x + 11, 5*g + 16 = r*x for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -29 - 6*44\/(-264).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -45 (b) -30 (c) 4\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hw when two letters picked without replacement from hhfwwwx?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2222826 to the power of 1\/4, to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -375*o**2 - 370*o**2 + 1096*o**2 - 349*o**2.\nAnswer: 2*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*l + 0*l + l - 37 - 3*l + 24 + 9*l + (97 - 43 + 135)*(l + 0*l - 3*l).\nAnswer: -371*l - 13","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(1 + (-1*sqrt(704) - (sqrt(44) + 2*sqrt(44)*5))**2).\nAnswer: 19802","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7 + -3. Suppose -2*k = 3*m - 269, 3*k = -3*m + 69 + 330. Suppose -28*p - k = -41*p. Solve 5*t - p = 2*f, j*t - t = -5*f + 37 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.0612, -0.4622, 0.3, 0.03?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4 - 6. Let b = -16839 + 16840. Sort b, i, 2\/7, 4.\nAnswer: i, 2\/7, b, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.3 (b) 0.5 (c) 12 (d) 1 (e) -171\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.11 - -0.29. Let d = -371.5 - -371. What is the fourth biggest value in d, -0.6, 5, b?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -56768 divided by 2?\nAnswer: -28384","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the third derivative of -u**5\/180 + 77*u**4\/12 - 5929*u**3\/2 + 3*u**2 - 23. What is l in x(l) = 0?\nAnswer: 231","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c**2 - c + 3. Let m be o(-3). Let a be 3 - (4 - -9) - m. Let p(d) = 11*d**2 + d + 3. Is p(a) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(3*(5 + (sqrt(2299) - (-1 + sqrt(2299)))) + -3 + ((sqrt(209) + sqrt(209)*-1 + sqrt(209))*-5)\/sqrt(11)))**2.\nAnswer: -150*sqrt(19) + 700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**11)**45*x*x*x**(2\/21)*x**(-31\/4) assuming x is positive.\nAnswer: x**(41105\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -2*a**3 + 77*a**2 - 35*a - 109. Let q be t(38). Solve -d + 6*g - 9 = 5*g, -q*d - 33 = -2*g for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2880 and 96990624.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 at most as big as 191?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 570 is divided by 26.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.13133 to two decimal places.\nAnswer: 0.13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + 4 - (0 + 0) - -2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -10135 + 56?\nAnswer: -10046","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the first derivative of r**3 - r**2\/2 - 6*r - 3298. Determine t(-3).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 144700, 144822, 144946, 145072, 145200, 145330, 145462?\nAnswer: 145596","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*d + 4 - 4)*(-12*d**2 - 65*d**2 + 172*d**2) - 4*d**3 + 5*d**3 + 0*d**3.\nAnswer: 856*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -52*k**3 - 50*k**3 - 50*k**3 + 144*k**3.\nAnswer: -8*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 23852029 to the power of 1\/2, to the nearest integer?\nAnswer: 4884","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*s - 380 + 345. Let z(i) be the third derivative of 1\/15*i**5 + 1\/120*i**6 - 1\/12*i**4 + 7\/6*i**3 + i**2 + 0 + 0*i. Give z(s).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 0*b = 110. Let p be 151 - 5 - (8 - 10). Let j = b + p. What is the remainder when 151 is divided by j?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*l + m - 200, 137 = 8*l - 5*l + 4*m. Solve l - 51 = 6*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-54)\/45*-5 - 0?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -72 - -74. Solve h*c - 12 = -2*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 197*f - 556 = -3018 - 493 for f.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 229.81733 + -0.1.\nAnswer: 229.71733","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.8? (a) -0.5 (b) -0.057 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.04 and 0.6.\nAnswer: -0.024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1352\/(-16))\/(2\/48*-2). Let u(p) = j*p - 1014*p - p**2. Let f(i) = -16*i - 2. Calculate f(u(q)).\nAnswer: 16*q**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 5 = -4*l. Let q be (l\/2)\/(1\/6). Let b be 4\/1*(27\/(-6) - -4). Put b, q, 4 in increasing order.\nAnswer: b, q, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -265 + 120. Let n = j + 161. What is the units digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2335 by 467.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*j - 5*j, -5*c + 4*j = -2020. What is the tens digit of c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.54 - -0.77. Let b = -9.75 - f. Round b to zero decimal places.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u**2 - 1 + 10 - 1 - 2 - u - 4. Give o(2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 3*u = -3*d - 1771, u - 1421 = 4*d. Let m = d - -665. Let v = m + -197. What is the hundreds digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in -1\/3, 1\/3, 393, -0.3, -31, 239?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2\/(-3))\/(1\/(-1158)). Is (2 + k\/16)*(-3 - -7) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11445811 (base 9) to base 15\nAnswer: 753a1d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, -291030, 3 in ascending order.\nAnswer: -291030, -0.3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c*c**(-2\/9)*c)**(-1\/6)\/(c\/c**(-1\/4))**(-4) assuming c is positive.\nAnswer: c**(245\/54)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 17641172*d**6 + 4274*d**2 + 106*d wrt d.\nAnswer: 2116940640*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*s**2 + 0*s**2 - s**4 + (2*s - 2*s - 2*s)*(-s**3 - 9*s**2 + 9*s**2).\nAnswer: s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.35 + 0.3. Let k = c - 0.031. Round k to 2 dps.\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6*8\/(-2496)*-8.\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 312 is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4778388 and 116?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 204 = -7*l + 221 - 122 for l.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(6)*-2)\/sqrt(3).\nAnswer: 2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 482986 is divided by 10062.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -95*h**3 - h**2 - h. Let q be o(-1). Let s = q - 93. Suppose -3*f + 32 = -4*d, -35 = -2*f + 2*d - 11. Solve c + 2*j = 6, -2*c - s*j + f = 3*j for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*u + 6*u - 4*u)*(2 - 2*u**2 - 2 + 3)*(5*u - u - 3*u).\nAnswer: 2*u**4 - 3*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/u**2)**(-1\/8) assuming u is positive.\nAnswer: u**(1\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(4 + 2 + ((1 + sqrt(288) - sqrt(288)) + (sqrt(72)*1)**2)*-1).\nAnswer: 402","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0006936 rounded to 4 dps?\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 305 minutes before 9:07 PM?\nAnswer: 4:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 9866 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 468, 938, 1398, 1842, 2264, 2658, 3018, 3338?\n\"Answer: -k**3 + k**2 + 474*k - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -90*o**2 + 48*o**2 + 30*o**4 + 42*o**2 + (-2*o**4 + o**4 + 0*o**4)*(-1 + 2 + 0) as u*o**4 + f*o**3 + n + r*o**2 + y*o and give u.\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1459\/114 - -50\/19. Find the common denominator of s and (-24)\/(-60) - (-77)\/(-30).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 33 = x - 3*c, 2*x = -c + 13. Calculate the greatest common factor of 36 and x.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9\/12)\/(4\/96*30)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -332 = 23*m - 125 for m.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -7*b**3 + 5*b**2 - 5*b. Let g(p) = p**3 - p**2 + p. Suppose -9*i = -7*i - 4. Suppose 0*d + 6 = i*d, -5*c - 2*d = -11. Calculate c*x(s) + 5*g(s).\nAnswer: -2*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the second derivative of u**4\/4 + u**3 + 6*u. Factor n(g).\nAnswer: 3*g*(g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:49 PM and 8:33 AM?\nAnswer: 584","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve f - 4*w = 3, 98465*w + 51 = -5*f + 98463*w for f.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 1, c: 1, i: 1, o: 4, z: 1}. What is prob of sequence ooi?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 0 (b) 0.3 (c) -89104.3 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nn when two letters picked without replacement from nneeeeeeneeeeeee.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 62, -1, -5.\nAnswer: -5, -3, -1, 62","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*v - 3*p + 167, 55*p - 97*p = -5*v - 22*p - 21*p + 206 for v.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -207\/57134 or 0?\nAnswer: -207\/57134","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 105276 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 533140805 to the power of 1\/3, to the nearest integer?\nAnswer: 811","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-53)\/(3 - (10 - 6)). Let f(l) = -59*l + 114*l - m*l. Let g(q) = -67*q**2. What is f(g(d))?\nAnswer: -134*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -33.89092212902 plus -13.2?\nAnswer: -47.09092212902","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8736 and 266?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -87*l + l**3 - l**4 + 0*l**4 - 8*l**2 + 42*l - 5 + 44*l to x*l + u*l**3 + q*l**2 + k + z*l**4 and give q.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 160582, 160578, 160574, 160570, 160566?\n\"Answer: -4*h + 160586","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Do -12\/279791 and 1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*y + 8*y - 16 = 0. Let m be (-23)\/7 - 2\/(-7). Suppose 0 = 5*t - 4 + 9. Sort t, y, m.\nAnswer: m, y, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2043597 is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 42 and 26.\nAnswer: 546","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4678 + -4685. Sort -1, 14, z in increasing order.\nAnswer: z, -1, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*v + v + 5*v + ((0 - 2 + 3)*(-v - 2*v + 4*v) - 2*v + 2*v + 2*v)*(-2217 + 2442 - 5367 - 1326) as b + c*v and give c.\nAnswer: -19402","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 178 + 109 = 0. Let t = f - 113. Suppose -4*x + 110 = -t. What is x rounded to the nearest ten?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.07, 1\/2, -76, -4, 0.4, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 406.02 milligrams in kilograms?\nAnswer: 0.00040602","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -10722 less than -1?\nAnswer: 10721","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 4, d: 1, n: 5, f: 8}. Give prob of sequence pf.\nAnswer: 16\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -34717 (b) 4 (c) -0.34\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f**2 + 5*f - 18. Let c be q(-14). Calculate the highest common factor of 12 and c.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2 and 1038234?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 654, 2712, 6142, 10944, 17118, 24664?\nAnswer: 33582","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -2\/13 (b) 10\/11 (c) -0.09\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of m**5 - 1517374*m**2 - 9805524*m wrt m?\nAnswer: 20*m**3 - 3034748","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pzfp when four letters picked without replacement from {k: 1, f: 1, d: 1, p: 1, z: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 14531573.22 to the nearest 1000000.\nAnswer: 15000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 152050?\nAnswer: 2, 5, 3041","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -42*l**2 + 32*l**2 - 30*l**2. Let o(v) = 76*v. Calculate o(q(f)).\nAnswer: -3040*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 508 = -4*p + 148. Let o = -61 - p. What is the units digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4000 (base 5) to base 3.\nAnswer: 200112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q*(q\/q**1)\/q*q**(1\/4)*(q\/(q**(-1\/24)*q))**(-3) assuming q is positive.\nAnswer: q**(1\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + -3 + sqrt(1100) + sqrt(1100))**2*4*-6.\nAnswer: -106776 + 6720*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (20*z - 6*z + z)*(2 - 2 + 3*z) - 770*z + 103*z**2 + 770*z.\nAnswer: 148*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 1753*h**2. Let p(x) = -6*x. Give p(t(c)).\nAnswer: -10518*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*j + 5*w + 16, 7 = 4*j + 3*w + 5. Let f(a) = -1 + 1 + 10*a**j - 12*a**2. Let y(m) = -46*m**2. Determine f(y(i)).\nAnswer: -4232*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48 = 16*q - 32 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 2 (b) -52 (c) 1\/4 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**5 - i**4 + 12*i**3.\nAnswer: -i**3*(i - 3)*(i + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.0939 + 0.0607. What is c rounded to two dps?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-24)\/11 + (11315\/341 - 33). Sort -27, -3, s, 1, -4 in increasing order.\nAnswer: -27, -4, -3, s, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2797*j**2 + 995*j**2 + 1411*j**2)*(1 + 1 - 3)*(-2*j - 2 + 2) to a*j + w + p*j**3 + c*j**2 and give p.\nAnswer: -782","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3300 - 3299. Which is the fifth biggest value? (a) -0.1 (b) 2 (c) -5 (d) o (e) 167\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*q + 3*q = 2*w + 5, 0 = -4*q + 5*w - 22. Let g = q - -4. Let b = -1\/28 + -3\/14. Is g < b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1536570?\nAnswer: 2, 3, 5, 7, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(108)*-2 + sqrt(1452)*1)\/(1*2*(sqrt(4) - -3*sqrt(4))) + 4.\nAnswer: 5*sqrt(3)\/8 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 206584205?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000005328 rounded to 6 decimal places?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -733772710398 + 5.\nAnswer: -733772710393","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + ((sqrt(68)\/sqrt(4))**2 - sqrt(17)))*5.\nAnswer: -5*sqrt(17) + 90","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -83*-0.4\nAnswer: 33.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 228 + -236. Are -44\/5 and p nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 16 = -4. Solve 5*y - 5 = -2*r + 6*y, v*r = -2*y - 2 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the third derivative of -l**5\/60 - 8*l**2. Let h(j) = 10*j**2. Determine h(y(n)).\nAnswer: 10*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = -0*a + 4, -400 = -4*l - 2*a. Suppose -l*g = -106*g + 80. What is the smallest common multiple of 32 and g?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 630823 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 139742 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -7369450 to the nearest one million.\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-174)\/9)\/((-4)\/6). Suppose -2*g + f - 9 = 0. Solve 4*v + g = -10 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (1*sqrt(648))**2 + (sqrt(18) - ((-2*sqrt(54))\/sqrt(3))**2) + 4.\nAnswer: 3*sqrt(2) + 582","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2, 2140125, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.19 + -0.052. Let h = 0.24199445 + u. What is h rounded to 6 decimal places?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*s + 2*s + 9*s**3 + 3*s + s wrt s?\nAnswer: 54*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -440*a**5 + 5592*a**6 - 764*a**2 + 209*a**5 + 231*a**5 wrt a.\nAnswer: 671040*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 11042.196761 and 97?\nAnswer: 10945.196761","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*s + 2*s + 10. Let z(w) = -4*w. Calculate z(s).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -597, -4712, -15885, -37644, -73517, -127032, -201717?\nAnswer: -301100","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2671398.\nAnswer: 2, 3, 148411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.04*48970.\nAnswer: -1958.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4 - -10. Let j(m) = -7*m**2 - 2. Let a(q) = 20*q**2 - q + 5. Let n(r) = -6*a(r) - 17*j(r). Calculate the smallest common multiple of o and n(6).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14*(18\/21)\/(15\/(-15))*4\/(-3)\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -1039987 <= -1039987?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 37980161 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(76) + 1 - ((sqrt(190)*-1)\/sqrt(10) + sqrt(19) - (-5 + sqrt(57)\/sqrt(3) + sqrt(19)))**2.\nAnswer: -100 + 22*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 32\/5 of a litre in millilitres?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 263 + -1?\nAnswer: 262","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -149979.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 164.2 - 164. Which is the closest to -1? (a) n (b) 5 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the second derivative of -1\/2*i**2 + 0 - 3*i - 1\/6*i**3. Let s(g) = -6*g - 6. Calculate -14*l(a) + 2*s(a).\nAnswer: 2*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the first derivative of m**3\/3 - 4*m**2 + 7*m - 2. Let z be u(7). Suppose 4*c = -z*c + 64. What is the remainder when 46 is divided by c?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 13*a**2 - 56*a - 37. Calculate x(5).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -7786468*l**2 - 9*l - 387977642 wrt l.\nAnswer: -15572936*l - 9","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5506965618?\nAnswer: 2, 3, 7, 11, 17, 127, 5521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h**2 - 4*h - 1. Let g(s) = -4*s**2 - 17*s - 4. Suppose x + 5*d - 12 + 38 = 0, x - 3*d = 6. Let r be ((-9)\/x)\/(7\/42). Calculate r*c(k) - 2*g(k).\nAnswer: -k**2 - 2*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the second derivative of b**3\/6 + 2*b. Let p(w) = 3*w. What is r(p(i))?\nAnswer: 3*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 9765571 a multiple of 166?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the first derivative of 3\/2*o**2 + 0*o + o**3 + 45. Calculate i(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 5*m**2 + 11. Let p(u) = -u**2 - 2. Let k(d) = 2*h(d) + 11*p(d). Let i(a) = 19*a**2. Determine k(i(f)).\nAnswer: -361*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = i + 2, -5*c - 2*i - 2 = -4. Let y(g) = g**2 - 5. Let s be y(4). Let l(h) = -h + c*h + s*h. Let d(k) = -2*k**2. Determine l(d(r)).\nAnswer: -24*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 237 and 395.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -133*15383\nAnswer: -2045939","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.9 + 1.08. Let r = g - -0.02. Let o = r + -2.0002. Round o to four decimal places.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10964?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5319225 is divided by 1329779?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**0*n**(1\/8)*n*n\/(n*(n\/(n*n**(1\/6)))\/n*n*n)*n*n*n\/n**5*n assuming n is positive.\nAnswer: n**(-17\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -46*x + 9 - 1 - 8.\nAnswer: -46*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3151 + 3151 + 8*c.\nAnswer: 8*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h = -3*h + 6. Let q(z) = 2*z**2 + 28*z + 82. Let o be q(-10). Solve h = k - o for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1982, 4085, 6310, 8657?\nAnswer: 11126","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 43 + -33391 + 33479\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 23476?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/7)\/(17\/34).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Do -1\/134 and 4625 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - j = 332. Let l = -41 - j. What is the units digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 181969 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + 2)*(5*q + 0*q - 4*q) - q + 2*q - 4*q - 3*q - 5*q + q.\nAnswer: -8*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l**3 - 17*l**2 + 18*l + 4. Let o be a(16). Let v = 44 - o. Let r(p) = p + 14. Let h be r(-6). Calculate the greatest common factor of h and v.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1670 - -66789\/40. What is the common denominator of -63\/328 and w?\nAnswer: 1640","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 3*m + 12 = -10, -8 = l + 3*m. Let w(g) = 6*g**2 + 2*g - 7. Let p(y) = -5*y**2 - 2*y + 6. Give l*p(a) + 6*w(a).\nAnswer: a**2 - 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 0.62, 2\/3, -1.04, -1, -2, 0.5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 256\/640 - (13\/(-5) - 0). Let v(w) = -5*w**3 - 5*w**2. Let l(d) = 26*d**3 + 26*d**2. Calculate x*l(t) + 16*v(t).\nAnswer: -2*t**3 - 2*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m + 239*m = -3159 for m.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:17 AM and 9:44 PM?\nAnswer: 687","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2845*r**4*u - 9*r**2*u + r**2 - 25*r*u - 7548*u wrt r?\nAnswer: 34140*r**2*u - 18*u + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-21)\/12 - (-357)\/140)*35\/2.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m**3 + 7*m**2 + 5*m - 5. Let w be b(8). Suppose 33*d = 28*d - 5*a - 145, 43 = -2*d + a. Let v = w - d. What is the biggest value in 3, -3, -1\/2, v?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 324 divided by -2\nAnswer: -162","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 236 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*d**2 - 26*d - 1 + 26*d to the form h*d**2 + u*d + k and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:32 PM and 9:25 PM?\nAnswer: 353","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 2, d: 4}. Give prob of sequence ddg.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14*(-9)\/(-126)*(-4)\/(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/9 at least as big as -156764\/111?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(1\/3))**27)**(-1\/25) assuming w is positive.\nAnswer: w**(-9\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 157520754, 630083042, 1417686862, 2520332220, 3938019122, 5670747574?\n\"Answer: t**3 + 157520760*t**2 + t - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -60 divided by 6\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*q - 2*h + 10, -10 + 4 = -5*q + 2*h for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -24.7*-14424.44\nAnswer: 356283.668","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 55 - 1143?\nAnswer: -1055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 126, 262, 398, 528, 646, 746, 822, 868?\n\"Answer: -s**3 + 6*s**2 + 125*s - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-276 - -6)\/3 + 4. Which is bigger: -77 or u?\nAnswer: -77","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.44 in -3, 0.4, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -6*u - 14. What is the lowest common multiple of o(-4) and 5?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 438046331 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: Which is the nearest to 2? (a) -26 (b) -0.2052 (c) 2\/3 (d) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15791 is divided by 198?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2b357 - 351b?\nAnswer: 27a38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 87313 is divided by 840.\nAnswer: 793","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 4657565.77413 take away -0.86?\nAnswer: 4657566.63413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 650 divide 9160728?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((t\/((t*t\/(t*t\/t**(1\/4)))\/t))\/t)\/t)\/t*((t**(-2)\/t)\/t)\/t*(t\/(t\/(t\/(t*t**(2\/11)\/t))))\/t**1)**(-1))**(28\/9) assuming t is positive.\nAnswer: t**(1981\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 279555 to the power of 1\/3, to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 13 - 67 = 0. Let b be (-16)\/k + 2132\/10. Suppose 0 = 4*q - 54 - b. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 7*d**2 - 23*d + 126. Let a be w(8). Let r = -1933 + 2996. Let m = r - a. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -2*p**3 - 69*p**2 + 37*p + 91. Let c be r(-35). Calculate the greatest common divisor of c and 735.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5730.84044 rounded to the nearest 1000?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 387*3.7\nAnswer: 1431.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that -2*d**4\/9 + 194*d**3\/9 + 3362*d**2\/9 - 194*d\/9 - 1120\/3 = 0.\nAnswer: -15, -1, 1, 112","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -984.6961 rounded to the nearest ten?\nAnswer: -980","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -5, -2201 in ascending order.\nAnswer: -2201, -5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 147?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 250580?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*g**3 + 7*g**3 + 5*g**3 + (2 - 5 + 4)*(-2*g**3 - 3*g**2 + 3*g**2) + 42*g**2 - 42*g**2 - 30*g**3 to the form w + y*g**3 + r*g**2 + h*g and give y.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zz when two letters picked without replacement from zzzzzzzszszzzzzzzz?\nAnswer: 40\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Are -159921\/8 and -19990 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Add -53695206749435 and -0.2.\nAnswer: -53695206749435.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -17.191335 - -17.23. Round z to two decimal places.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8, -29, -62, -107?\nAnswer: -164","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 49 - 12*q - 22 + 2*q**4 + 24*q + 2*q**3 - 10*q to f + x*q**3 + b*q + r*q**2 + a*q**4 and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1194324*s - 1194357*s - 4*s**3 + 2388665*s.\nAnswer: -4*s**3 - 16*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 1000 (base 2) to base 7\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 809 + -801 + (-18 - -7).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -2*j + 4. Let d be w(-5). Suppose 2*y + 0*y + 4*p + 4 = 0, -3*y + 4*p + d = 0. Suppose h + 9 = y*h. What is the greatest common factor of h and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 218290 is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -21778+0.4\nAnswer: -21777.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 33 (b) 2\/19 (c) -0.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 60.4 + -60. Let i = -0.06 - -5.06. Which is the closest to -3? (a) 0 (b) h (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3 + -1. What is the remainder when 11 is divided by ((-14)\/g)\/(4\/8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) 4 (b) 3\/8 (c) -2\/5 (d) 25 (e) 20344\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -488*r**2 - 155 - 46*r + 43*r + 71 wrt r?\nAnswer: -976","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*l + 19 + 19 - 38 = 0. Let v be (-1)\/(1 - 62\/52). Is v greater than l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 + (21 + -49 + 22 - -8)?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 2*u**2 + 2*u. Let x(o) = -20*o**3 + 1956*o**2 + 19*o**3 - 1953*o**2 + 3*o. Suppose 0 = -6*w + 3*w + 9. Calculate w*a(f) - 2*x(f).\nAnswer: 2*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 8751.3399 minutes in days?\nAnswer: 6.077319375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -29\/4 + 195\/28. Which is the second smallest value? (a) -1\/3 (b) -0.1 (c) -0.08 (d) j\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*r = 13*r - 235. Solve 0 = r*t + 140 - 150 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -776 - -773. What is the nearest to 0.43 in -0.01, h, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 653460, 653464, 653470, 653478?\nAnswer: 653488","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 3\/10 of a kilogram?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 46 and 21436.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 984, 1037, 1156, 1371, 1712, 2209?\n\"Answer: 5*s**3 + 3*s**2 + 9*s + 967","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -83 - -160. Calculate the greatest common factor of 33 and q.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 1, j: 1, h: 1, k: 1, l: 1}. Give prob of picking 1 r, 1 l, and 1 j.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0339669um to nanometers.\nAnswer: 33.9669","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1 and 13.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -610*j - 379*j = -4945 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 g when two letters picked without replacement from gddd.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1279?\nAnswer: 1279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2028610 to the power of 1\/2, to the nearest integer?\nAnswer: 1424","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12981, 23633, 34285, 44937, 55589?\nAnswer: 66241","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mb when two letters picked without replacement from bwibdmbizdbdbi.\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:14 AM and 8:53 PM?\nAnswer: 699","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the third derivative of w**4\/12 - w**2. Let a(m) = 2*m. Let h(x) = -5*x. Suppose -13 - 26 = 3*z. Let l(k) = z*a(k) - 6*h(k). Give l(p(q)).\nAnswer: 8*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.017 and -33518.\nAnswer: -33517.983","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -4*c + 7. Let b be z(-14). Let v be (3\/(-14))\/(b\/(-336)). Let d be 0\/((-1)\/1 - -3). Is v bigger than d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1 - 0.2. Let t = a - -1.1. Is t equal to -1\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u**2 - 10*u - 19. Let x be z(13). Let t = -20 + x. Which is greater: t or 2\/77?\nAnswer: 2\/77","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/4*(-70)\/(-21)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(1872)*1 + 0)**2 + (sqrt(1872)*2)**2*2.\nAnswer: 16843","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o**(-1\/2))\/o)**(1\/5)*o**(1\/5)*o*o*o**(2\/5) assuming o is positive.\nAnswer: o**(5\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -135 + 162 = 9*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*t**2 - 24*t**2 - 9*t**2 + 3*t**2.\nAnswer: -26*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 316\/7? (a) 0 (b) 2 (c) -1\/45\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-35)\/14 + 3\/2)*1. Let f(p) be the first derivative of -p**4\/2 + 2*p**3\/3 - p**2\/2 - 3*p + 2. Let z(h) = -1. What is v*f(s) + 3*z(s)?\nAnswer: 2*s**3 - 2*s**2 + s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 255.\nAnswer: 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*m**3*p + 8*m**2*p**2 - 129*m**2 - 6*m*p**2 + 3*p**2 - 60*p wrt m.\nAnswer: 24*m*p + 16*p**2 - 258","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from ggizv.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = -5*v + 3*b, 2*v + 53*b - 28*b - 26*b + 23 = 24 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oay when three letters picked without replacement from {b: 2, o: 1, y: 9, a: 4}.\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/2)\/(43896\/992)?\nAnswer: 2\/59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that -4*n**5 + 4184*n**4 - 117316*n**3 - 666336*n**2 - 829872*n = 0.\nAnswer: -3, -2, 0, 34, 1017","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) -0.7 (b) -0.04 (c) -12\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1030 - 30112221?\nAnswer: -30113311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o**2 - 300*o + 297 = 0. Calculate o.\nAnswer: 1, 99","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -7*v**2 - 2 + 9*v**2 - v**3 + 2 + v - 2*v**4.\nAnswer: -v*(v - 1)*(v + 1)*(2*v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the third derivative of 0 - 5\/32*u**4 + 1\/8*u**3 - 91*u**2 + 1\/20*u**5 + 0*u. Solve r(k) = 0.\nAnswer: 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/(3 + -1 + (-21359)\/10686). Does 3 divide (-3)\/30 - z\/(-20)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3.74890668 + -185.74892848. Let i = -363 - -181. Let k = i - a. What is k rounded to six decimal places?\nAnswer: 0.000022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -13 - -15.5. Let h = -29.5 - r. Let i = h + 27.1. What is i rounded to the nearest integer?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 551 is divided by 33.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -7138, -7137, -7134, -7129, -7122?\n\"Answer: k**2 - 2*k - 7137","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 10*b - 18. Let x be g(2). Suppose x*l = 3*j - 139, j = -3*l + 6*j - 208. Let k = 73 + l. Solve -k + 12 = 2*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 291 is divided by 59?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w - 1 - 1 + 0*w)*(-3*w**2 - w**2 + 5*w**2 - 20 - 39*w**2 + 20 + (0*w + 4*w - 6*w)*(w + 0 + 0)).\nAnswer: 40*w**3 + 80*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -22, 3, 0.09, 5, -2 in descending order.\nAnswer: 5, 3, 0.09, -2, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = g + 39, 5*g + 195 = -0*g + i. Let d(v) = v**3 - 8*v**2 + v + 1. Let x be d(6). Let n = g - x. Does 13 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3*3)\/(-1)*-14*(-1)\/(-462).\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t**2 - 14*t + 14. Determine b(12).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-13 - -36) + -33 + 2 + 13 - 43.\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*r - 2*r - 300. Let i be -386*5\/r - 9\/15. Let j = i - -26. Calculate the greatest common divisor of j and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = -122*q + 117*q. What is the hundreds digit of (-841)\/q + ((-55)\/25 - -2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by 21707710.\nAnswer: -1\/10853855","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -96, 2\/3, 3, -4\/7 in decreasing order.\nAnswer: 3, 2\/3, -4\/7, -96","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4229 is divided by 47.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l = -5*i, -55*i + 12 = -52*i for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -395*s - 1262 = 1147 + 2726 for s.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.2 and 845.\nAnswer: 844.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**2\/5 - 449476*t\/5 + 1797888\/5.\nAnswer: (t - 449472)*(t - 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -61070 times 50\nAnswer: -3053500","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 5841 = 29619. What is the highest common divisor of x and 45?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 5, x: 1, v: 2, h: 8}. What is prob of picking 1 h and 1 v?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j**2. Let h(q) = -372*q + 421*q - 1327*q. Calculate a(h(w)).\nAnswer: 1633284*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/2*4 - (-76 + 2) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-22)\/((72\/10)\/6*15\/(-9))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(128) - (2*sqrt(128)*1 + sqrt(128)))\/sqrt(4))\/(-4*sqrt(36)\/(sqrt(9)*1*-5)).\nAnswer: -5*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-120)\/(-285))\/((-110)\/(-8360))?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the third derivative of 0 + 0*j**5 + 0*j**3 + 1\/4*j**4 + 1\/105*j**7 + 0*j - 2*j**2 + 0*j**6. Find the second derivative of a(n) wrt n.\nAnswer: 24*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -632043316*3\nAnswer: -1896129948","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (r**2 - 4*r + 4*r)*(209 - 21*r - 209)*(-8*r - 5*r + r).\nAnswer: 252*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5.82 - 0.18. Let x = q + 5.6. Is x not equal to -1\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l**2 - 1. Let h = 12 - 17. Let d(s) = -s - 3. Let o be d(h). Suppose o*r - 2*b + 2 = 2*b, 4*r + 4 = 5*b. What is a(r)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the first derivative of -y**2\/2 + 1. Suppose 6 = -13*d + 7*d. Let t(i) = -2*i + 2. Determine d*t(u) + m(u).\nAnswer: u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6 - -8. Let g be (-4)\/10*(l + -7). Solve 0 = 4*s + 16, 6*k + s = g*k + 4 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -2 (b) 4 (c) -53\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 212756.\nAnswer: 2, 53189","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 1687.719m?\nAnswer: 1687719","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.614 + -1.414. Which is the third biggest value? (a) -19 (b) 0 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (9 - (3 - (-37 + -5)) - -3) + 8?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54*d + 207 = 63*d. Let s be (-2)\/(-8) + 206\/8. Suppose -s = j - 95. What is the greatest common divisor of j and d?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/3*k**4 - 10*k**2 - 46\/3*k - 2\/3*k**3 - 20\/3.\nAnswer: 2*(k - 5)*(k + 1)**2*(k + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b**3 + 53*b**2 - 111*b - 55. Let o be x(-55). Sort 86, o, -1 in decreasing order.\nAnswer: 86, o, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2296484 to the nearest integer?\nAnswer: 1515","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/(-3))\/(3\/(-27)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1125*x**5 + 146256*x**4\/5 + 1164219*x**3\/5 - 2746242*x**2\/5 + 1442928*x\/5 - 1536\/5 = 0 for x.\nAnswer: -8, 2\/1875, 1, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-1)\/14)\/(14\/(-2268)). Let c = 58214 + -814281\/14. Let t = y - c. Find the common denominator of 7\/9 and t.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -g**2 - g + 18. Let a be i(0). Let y be 6\/4*456\/a. Calculate the highest common factor of 38 and y.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*m**3 - 2*m**3 - m**5 - 3*m**5 - 3*m**5 + 5*m**5 + (-3*m**2 + 5*m**2 + 3*m**2)*(-2*m**3 + 2*m**2 - 2*m**2) - m**5 - 4*m**5 + 4*m**5.\nAnswer: -13*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*l - 10*l + 10 = 0. Let q(r) = 2*r - 27. Let s be q(l). Let j(y) = y**3 + 9*y**2 - 6*y + 27. What are the prime factors of j(s)?\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2595925261 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 413 - 409. Solve 5*i - 5*m + 50 = 0, q*m = 5*i + 48 - 3 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(i*i**(1\/2)\/i))**(3\/7)\/(i\/((i**(-4\/7)\/i)\/i*i)*i**(-2\/3)*i))**(-38) assuming i is positive.\nAnswer: i**(2147\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6 and 46226.\nAnswer: 138678","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:07 AM and 6:54 AM?\nAnswer: 107","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 87173 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 323 - 186 = -b, 1039 = 2*b - 5*v. Suppose -5*u - b = -u. Let k = u + 315. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -b**2 + 21*b + 45. Let x be u(22). Solve 5*r - 37 = -4*i, -5*i + 63 - x = 5*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 67464206?\nAnswer: 2, 139, 242677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 100*x - 98*x + 196 - 196.\nAnswer: 2*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -11 + 11. Suppose -4*c + k*i + 153 = -i, 0 = 4*c + 4*i - 168. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*(g*g**(1\/15)*g)\/g)\/g*g*g*g*g**(-7)*g)\/(g\/(g*g\/((g*g**(-1\/9))\/g))*((g\/(g*g**2*g))\/g)\/g) assuming g is positive.\nAnswer: g**(188\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = 2*h + v - 244, 2*h = v + 156. Is h a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:08 AM and 2:47 PM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 10 = -4*b, 3*u + b - 16 + 6 = 0. Suppose m - u*m = -2. What is the highest common divisor of 1 and m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = -5*y + 30. Suppose c - 1917 = -h, -y*h + 16 = -h. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23249.\nAnswer: 67, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 57036.\nAnswer: 2, 3, 7, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 bigger than -5\/2092?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1048\/9 + 116. What is the nearest to -1 in -5, n, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*g + 1212 = 554 + 208 for g.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-180)\/(-360)*2\/(-22).\nAnswer: -1\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 171931196.\nAnswer: 2, 42982799","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that -2*d**2\/9 + 2*d\/9 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -a1 - -47?\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (2675*w**2 - 56*w - 2677*w**2 + 1 + 16*w)*(11*w + w + w) as m*w + r + h*w**2 + q*w**3 and give h.\nAnswer: -520","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -11*v + 13*v. Let t = 12 - v. Let i be (-1)\/(5\/t + (5 - 8)). Solve -7 = -s + c - i*c, 4*c = -2*s + 22 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4)\/((-3)\/3 + -1). Suppose -c = 3*m - 8. Find o, given that -o + 6*o - 4*o + o**m = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 30, 102, 296, 672, 1290?\n\"Answer: 10*j**3 + j**2 - j + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the second derivative of -w**6\/120 + w**5\/30 + w**4\/6 + 12*w. Let i(j) be the third derivative of t(j). Determine i(4).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.4 - -7.4. Suppose 13*w - 142 = 2*p, -247*p - 81 = -250*p - 5*w. Are q and p nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (64\/4)\/4*(-56)\/(-80)*-5\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 172 = -4*u, 2*u + 31 = -v + 2*v. Let d be 19\/v - 3\/9. Let z be ((-2)\/4)\/(2\/4). Which is the closest to z? (a) -6\/11 (b) d (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 427*b**2 + 2560*b\/3 - 4\/3.\nAnswer: (b + 2)*(1281*b - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -4*t. Let h(n) = 2*n**2 + 2*n + 1. Let z(w) = 5*w**2 + 4*w - 22. Let m(x) = 2*h(x) - z(x). What is i(m(r))?\nAnswer: 4*r**2 - 96","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -9e549 + 5?\nAnswer: -9e544","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2 + 2. Suppose -3*f + j*f = -27. Let c(t) = -t + 14. Let l be c(5). What is the greatest common factor of l and f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4125 is divided by 96.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2d - 689a?\nAnswer: -686b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y**3 + y - 219. Let n be h(0). Let q = n + 131. Let r be (-1 - q) + (-3 - -3). Calculate the highest common divisor of r and 58.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the first derivative of -n**2\/2 + 243. Let f(v) = 220*v. What is i(f(k))?\nAnswer: -220*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 9.167 + 0.833. Is q not equal to 62?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s**2 + s**3 + 3 + 8*s**2 - 2*s - 4*s**2. Let p be w(-3). Suppose -3*a - p = -6*a. Solve -4*g + a*g + 2 = 0 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -301 + 581. Calculate the highest common divisor of 80 and f.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4847 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 1 = -i - 2*a, 5*a - 32 = -4*i. Solve -n = -4*l + i*l - 8, 6 = -2*l for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -92, -185, -280, -377, -476, -577?\nAnswer: -680","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wjrrjwpknkjn. Give prob of picking 2 k and 2 n.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q = 4*p + 32 - 20, 4*q = 2*p + 6 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve f + 13 = w, -3*w + 30 = 3*f + 3 for w.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -109, 0, -3, 1 in increasing order.\nAnswer: -109, -3, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2*5*2\/4. Let y(u) be the third derivative of 65*u**4\/24 + u**3 + 28*u**2. Is y(a) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 40 + (-8040)\/152 - (-10)\/(-95).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6879 + 6951. Which is the closest to -2\/7? (a) -0.3 (b) k (c) -2\/3 (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*c**2 - 4144 - 2*c**2 - 4141 + 8285 - c**2.\nAnswer: -5*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = 29 - 349. Suppose 0 = -2*u - 2*r - 88 - o, 0 = u - 4*r + 76. Let y = 79 + u. Solve -y*n + 9 + 6 = 0 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7 - 6*u**2 - 10 - 9*u**2 to m + s*u + i*u**2 and give m.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -8 - -118. Is 26 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that -39*z**5\/7 + 4140*z**4\/7 + 46225752*z**3\/7 - 7115886*z**2\/7 - 46225713*z\/7 + 7111746\/7 = 0.\nAnswer: -1037, -1, 2\/13, 1, 1143","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v**4. Let j(b) = 4*b**5 + 6*b**4 + 3*b. Let m(p) = j(p) - 6*w(p). What is the second derivative of m(z) wrt z?\nAnswer: 80*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k - 4 = p, 2*p - k = 7*p - 24 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*h**3*n**4*w**2 - h**3*n**2*w + 620*h*n**3*w**2 - 4*h*n**2*w**2 + 3*h*w**2 - 3*n**2*w wrt n.\nAnswer: -48*h**3*n*w**2 + 3720*h*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1402019 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -28981 (base 15) to base 9\nAnswer: -217774","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 l when two letters picked without replacement from {b: 2, c: 3, m: 2, l: 9}?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 123*k - 1 - 242*k + 117*k. Give h(4).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-14)\/4 - 8\/(-4) - 4. Let y(x) = 6*x - 22. Let f be y(7). Suppose -f = 5*d, 4*n + 2*d - 3*d = -8. What is the third biggest value in n, 0.4, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:50 PM and 5:02 PM?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 71530, 283402, 636522, 1130890?\nAnswer: 1766506","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qxqpeqhoqpoxooooooqq. Give prob of picking 1 e and 1 p.\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 48\/35 - 18\/7. Which is the closest to -1? (a) n (b) 0 (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 84266783 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -2*c**2 - 13*c + 25. Let q be r(2). What is the common denominator of -23\/18 and q\/(-12)*(-151)\/18?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4 - 1070238.\nAnswer: -1070238.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5 - 6. Which is greater: f or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*c = 51*c - 50. Sort 3, c, 14, -5.\nAnswer: -5, 3, c, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*s + 49 = 373. Let y = 619 + -617. Sort s, 1, y in decreasing order.\nAnswer: s, y, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -u + 0*u + 3*u + 14 + 261 - u in the form t*u + x and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b**3 + 6*b**2 + b - 1. Suppose 16 = -2*v + 2. Let q(d) = d**3 + 8*d**2 + 9*d + 9. Let z be q(v). Calculate the remainder when i(z) is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -259 divided by -54?\nAnswer: 259\/54","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = -2*b. Let k = b - -5. Let g be ((-2)\/k)\/(1\/(-5)). Solve -g*p + p = -5 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-5)\/(-35)*-1 + 1\/105. Sort -3, -0.1, -0.5, f in decreasing order.\nAnswer: -0.1, f, -0.5, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*n + n + 14*n)*(2 - 2 + 2*n) + (3*n**2 - 3*n**2 + n**2)*(2 - 1 - 4).\nAnswer: 27*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - w + 420 = 0, -2*w - 95 = -3*p + 2*p. Let o(y) = -2*y + 7. Let t be o(-5). What is the highest common divisor of p and t?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -17526 - -17531. Factor -2\/13*k**s + 0*k + 6\/13*k**4 + 0 + 0*k**3 - 8\/13*k**2.\nAnswer: -2*k**2*(k - 2)**2*(k + 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2330 - 428. Let b = l - 766. What is the thousands digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1361.7274 to the nearest 10.\nAnswer: -1360","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Calculate -124910435 divided by -24982087.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3608, 7217, 10828, 14441?\nAnswer: 18056","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9925517?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 4678759907 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 387, 2707, 8963, 21123, 41155, 71027?\nAnswer: 112707","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 36789075 to the power of 1\/3, to the nearest integer?\nAnswer: 333","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*v - 16 - 9 - 195679*v**2 + 195689*v**2.\nAnswer: 10*v**2 + 3*v - 25","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.017431 minus 2.37907?\nAnswer: -2.396501","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s**3 - 4*s + 4. Let r be o(2). Suppose 166 = r*d + 2*t, 0*d + 2*t = -d + 46. Does 20 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x - 10 = -2*k, 38*k - 15 = 35*k for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(486)*4 - sqrt(6) - sqrt(6)))\/((sqrt(200)*-4 + sqrt(200) + sqrt(200))*-6).\nAnswer: -17*sqrt(3)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -9134801*l + 56461473 wrt l?\nAnswer: -9134801","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 448 minutes after 1:54 AM?\nAnswer: 9:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -3*n - 6. Let i be b(-4). Suppose 5*g = 7*g - i. Let v be (3 - g)*(-1)\/(-2) + 5. Solve 0 = 2*y - t + 5 + v, y + 14 = 5*t for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -4\/23, 5\/2 in increasing order.\nAnswer: -4\/23, 1, 5\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 15538406, 31076810, 46615214, 62153618?\n\"Answer: 15538404*f + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 144 by -24.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 906 and 31106?\nAnswer: 302","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange v - 785 - 7*v + 878 to the form c*v + b and give b.\nAnswer: 93","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -2*j**2 - 4*j + 10. Let a(p) = -2*p**2 - 3*p + 11. Let r(n) = 3*a(n) - 4*q(n). What is the tens digit of r(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31 - 6*f - 19 - 12.\nAnswer: -6*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 2*c + 34. Let o(l) = 3*l + 34. Let k(x) = 7*o(x) - 6*s(x). Let g(w) = 10*w + 37. Let y(b) = 5*g(b) - 6*k(b). Determine y(-8).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10144.24 rounded to the nearest 100?\nAnswer: -10100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -3*r - 7*r - 0. Solve -f - l = -4*l + 6, r*f + 3*l = -6 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*u - 80 - 100. Let x = 23 + u. Let l be (9\/(-4))\/((-6)\/32). What is the greatest common factor of l and x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/n**2)**(-2)*((n**(-8)\/n)\/n)\/n**1)**(-7\/2) assuming n is positive.\nAnswer: n**(63\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4 - (0 - 2 - 14). Let o = q + -20. Solve o*s = -3*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.43 - -0.83. Let d = -8 - -8.3. Let z = 0.7 + d. Put a, z, 5 in increasing order.\nAnswer: a, z, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 272 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p + 76. Let w(g) = -19*g**2 + 2*g + 11. Calculate w(h(n)).\nAnswer: -19*n**2 + 2886*n - 109581","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 136 is divided by 46?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 9*q**2 - 2*q + 1. Let b be p(1). Let v(z) = -10*z + 4*z**2 - 10*z + 14328 - 14318. List the prime factors of v(b).\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.6250821 to one decimal place.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11 - 226*q**2 - 35 + 10 + 11 - 162*q.\nAnswer: -226*q**2 - 162*q - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 11286 at least as big as 79008\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -58*c + 76 = -38*c - 4*h, 3*h - 95 = 3*c - 92 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-5)\/(-35))\/(4\/(-16)). Let q = s + -1\/35. Suppose -2*o + 2 - 8 = 0. What is the nearest to 0 in o, q, 3\/8?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z + 21 = 2*r, 3*r + 3 = 3*z - 18 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2 + -6?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -8 (b) 4\/15 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9770 is divided by 4821?\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 255249?\nAnswer: 3, 79, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18.2*0.086256.\nAnswer: 1.5698592","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2712*c + 173774 = -1144*c - 69154 for c.\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s**3 - 5*s**2 - 10*s - 7. Let k(u) = u**3 + 5*u**2 + 9*u + 7. Let y = -1 + -4. Let w(q) = y*k(q) - 4*r(q). Is w(-6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3588*n + 4858*n - 516*n.\nAnswer: 7930*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4 and 569.\nAnswer: 2276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 33659947007 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/(-7) + ((-1459960)\/119)\/(-20) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 331567 is divided by 913?\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -25566 - -47723. List the prime factors of s.\nAnswer: 22157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 109, 332, 595, 898?\n\"Answer: 20*r**2 + 163*r - 74","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 303*h + 222*h = -42*h + 7938 for h.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -984*a**3 + 4*a**2 - 40*a - 131. Is j(-5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the third derivative of t**5\/60 + 3*t**4\/8 - 4*t**3\/3 + t**2. What is the smallest common multiple of x(-11) and 18?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 286.5 minus 8317273152?\nAnswer: -8317272865.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) -1\/4 (b) 8\/27 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/f**(7\/2))**(-2\/49)*(f**(-3\/5)*f)\/((f**(2\/33)\/f)\/f) assuming f is positive.\nAnswer: f**(19739\/8085)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1397292647 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 97 at least as big as -14?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -2\/7, -2\/3, -10, 0.1, -146.\nAnswer: -146, -10, -2\/3, -2\/7, 0.1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l**4 + l**2 - l - 1. Let q(w) = 12*w**2 + 8*w**2 - 1 - 24*w**4 + 12*w**3 - 20*w - 19. Let h(s) = -20*g(s) + q(s). Factor h(c).\nAnswer: -4*c**3*(c - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -13*l - 7. Let a(m) = 6*m + 3. Let i be 13\/(-2)*(-4)\/(-2). Let r = i + 18. Suppose r*v - 3*v - 18 = 0. What is v*a(z) + 4*u(z)?\nAnswer: 2*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b - 2*g + 134 = 109, -2*b - 2*g + 4 = 0 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 82*d = 78*d + 8. Let z = -0.3 - 6.7. Let q = 7 + z. Which is the nearest to q? (a) 3 (b) 1\/3 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c - 4*r = -45, -19*r - 15 = -4*c - 18*r for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 23.37 (b) 29 (c) -0.35\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1744 - -698. Let u = w - -1868. What are the prime factors of (u\/(-5))\/(-6) + (-4)\/10?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 - 26 - 6 - 866*s - 8 + 10.\nAnswer: -866*s - 36","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 50524684?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 250648752?\nAnswer: 2, 3, 5221849","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2565068 to the nearest integer?\nAnswer: 1602","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 2457\/54*(4\/(-14))\/(1\/(-2))\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4937?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 3*x + 4. Suppose -2*r + 0 + 2 = -2*z, -3*r - 5*z = 21. Let k be u(r). What is the units digit of 1\/((-1)\/k)*6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18\/(-180)*7\/35*10.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -230724 times 0.3\nAnswer: -69217.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, -226, 3 in ascending order.\nAnswer: -226, -10, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-2\/9))**(1\/37))**(-13\/8) assuming c is positive.\nAnswer: c**(13\/1332)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -0.2, 389, -5 in decreasing order.\nAnswer: 389, 2, -0.2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(1\/3))**(-2\/31)\/((r*r*r**4)\/(r*r*r**(-7))) assuming r is positive.\nAnswer: r**(-1025\/93)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, o: 1, t: 6, h: 3, i: 6}. Give prob of picking 1 h and 1 i.\nAnswer: 9\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 10) to base 13.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.51 + -2.83. Let k = n + 3.5. Round k to 1 dp.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 691 is divided by 394?\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2174927 or -2174886?\nAnswer: -2174886","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -j**4 - 3*j**3 - j**2 + j + 1. Let s(y) = -34*y**4 - 12*y**3 - y**2 + 435*y + 4. Let v(h) = 4*k(h) - s(h). Find the second derivative of v(m) wrt m.\nAnswer: 360*m**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 713?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 19469.8 years in decades?\nAnswer: 1946.98","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 + 0 - 2) + -3 - (-273 - -248).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*w + p - 20, -2*w = w - 4*p - 30. Suppose -2*t - w = -0*t. Let g be (-73)\/t + 4\/10. What is g rounded to the nearest ten?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2908*r**2 + 2471*r**2 - 5382*r**2.\nAnswer: -3*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -9 - -7. Let l be 28\/21*(-3)\/f. Suppose 0 = -2*m + l + 2. Put 6, m, 4 in descending order.\nAnswer: 6, 4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 347 - 167. Let j(y) = 24*y**3 - 28*y**3 - 2*y**2 + 3*y - a + 179. Determine j(1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6413 and 121.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 11 - 6. Let m = 0.09 + 3.91. Which is the biggest value? (a) q (b) m (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 454, 461, 480, 517, 578, 669, 796, 965?\n\"Answer: s**3 + 453","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 673 - 375. Suppose 5*o - d = -18. Calculate the least common multiple of 40 and o.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 549.1 - 589. Let y = i - -42. Let f = 2 - y. Sort f, 3, 0.5.\nAnswer: f, 0.5, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6\/185195 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10797*u - 21593*u - 72 = -10787*u for u.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 3383.8 to the nearest one hundred.\nAnswer: 3400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -8 - g + g**2 + 2*g**3 - 3*g**3 + 1. Let q be f(0). Is (q\/4)\/((-2)\/24) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 435844101 and 16814?\nAnswer: 8407","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.0372 - -0.033055. What is u rounded to 4 decimal places?\nAnswer: -0.0041","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 578 = -896. Suppose 3846 + a = -7*c. What is c rounded to the nearest one hundred?\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -d + ad7?\nAnswer: ac9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 376\/19*a - 2\/19*a**2 + 378\/19 = 0 for a.\nAnswer: -1, 189","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -16*w + 11*w. Solve 0*m - w*m = 10 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -b (base 15) in base 10?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = a - 2*k - 16, 0 = -3*a - 2*k + 7. Suppose 0*r = -4*r + j, -5*r = a*j. Let y be -2*(1260\/(-316) + 4). Which is smaller: r or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 3583, 3587, 3591, 3595, 3599, 3603?\n\"Answer: 4*b + 3579","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5049058061 - 3.\nAnswer: 5049058058","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 341300220 (base 5) to base 7\nAnswer: 15554454","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 - 33 = -7*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2632 divided by 1316.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a meter in millimeters?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -36*v**3 - v. Let z(g) = -g**2 - 7*g + 7. What is the remainder when j(-1) is divided by z(-6)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a - 10 = -2*i + 1, 0 = -3*i + 3 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -66787663, -66787664, -66787665, -66787666, -66787667, -66787668?\n\"Answer: -g - 66787662","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/((-6)\/3)*71\/213?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put together 51 and 198.5.\nAnswer: 249.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 8542 (base 12) to base 6\nAnswer: 151322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-51)\/21 - -3 - (-648)\/42. What is the highest common factor of l and 96?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -168 divided by -2498292?\nAnswer: 14\/208191","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the first derivative of -2*l**4 + 10*l**3 - 38*l**3 + 4 - 2 - 400*l + l**4 - 240*l**2. Determine n, given that r(n) = 0.\nAnswer: -10, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 170 minutes before 2:09 PM?\nAnswer: 11:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -35*d + 4. Let k be m(-3). Suppose 4*s + 183 = -k. What is s rounded to the nearest ten?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 289*d - 284*d - 5*f, 4*d + 4*f = -36. Let j(a) = a**3 + 2*a + 4 - a + 7*a**2 - 12. Calculate j(d).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1879870 and 375974?\nAnswer: 1879870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 775158 - -3.903192.\nAnswer: 775161.903192","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.61 * 10283.12.\nAnswer: -6272.7032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -44?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z**3 + 14*z**2 + 12*z - 14. Determine d(-13).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Do -5232 and -5253 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 245206 is divided by 2426?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -33184, -33165, -33156, -33175, -33240, -33369?\nAnswer: -33580","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n**3 + 5*n + 4. Let o = 29 + -32. What is f(o)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 19*k**2 + 21*k**2 + 2*k**2 + (0 + 0 + 3*k)*(3 - 3 + 5*k) - 6*k**2 + 3*k**2 + k**2 to y*k + p + s*k**2 and give s.\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-91)\/(-2) - 4)*2. Let p = v + -58. Is p a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 * -197194\nAnswer: 788776","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -116*u - 451*u - 1003*u in the form a + n*u and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-11 + 2*w + 11)*(-71 - 27 + 31) + (-3*w + 2*w + 0*w)*(4 - 2 + 0))*(2 + 0 - 3) to a*w + p and give a.\nAnswer: 136","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Add together 18534139111 and -0.2.\nAnswer: 18534139110.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 4, 2, -8, -4, -16, -2735 in descending order.\nAnswer: 4, 2, 1, -4, -8, -16, -2735","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in 193623, 3\/4, -5?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*k + 6*k = -12. Suppose 0 = -k*z + 21 - 3. What is the remainder when 46 is divided by (9 - -1)*(z + 15\/(-25))?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(495)\/(sqrt(18)\/sqrt(2)))\/((sqrt(60)*1)\/sqrt(12) - (sqrt(110)\/sqrt(2) + sqrt(55))\/sqrt(11)) + 2.\nAnswer: -sqrt(11) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 527661 plus 7113?\nAnswer: 534774","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 8, f: 2, h: 2}. What is prob of picking 2 f and 1 h?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9, 42, 111, 234, 429?\nAnswer: 714","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*m - m + 63 = 903. Calculate the remainder when 5527 is divided by m.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/2 + 55 - -1. Suppose -2*m - 224 = -7*m + 2*x, 3*x - t = -m. Calculate the remainder when m is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10799813 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the first derivative of p**4\/4 - p**3 - 3*p**2\/2 - 3*p + 39. What is t(3)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 320124*a**2 - 320260*a**2 + 0 - 9*a.\nAnswer: -136*a**2 - 9*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(190)\/(sqrt(1210)*-3).\nAnswer: -sqrt(19)\/33","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*s + 42 = s. Calculate the smallest common multiple of 286 and (s - 36\/8)*(-4)\/3.\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = 5*t + 95, 5*t = -4*b - 6 - 54. Let x(f) = -4*f - 50. Let m be x(t). Suppose 0 = -y + m*y - 1287. Is y a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 198 = -181*i - 454 + 109 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -0.057 * 0.3\nAnswer: -0.0171","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1 (b) -5 (c) 0.1 (d) 5 (e) -52\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -278 = 25*w - 303. Which is smaller: w or 2\/327?\nAnswer: 2\/327","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 37 + 0. Suppose 2*k - y + 1 = 0. Differentiate -z**4 - 15 + 4*z**4 + k with respect to z.\nAnswer: 12*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2 + -1.9. Let b = -0.1 + c. Let w = 0.91 - -0.09. What is the second smallest value in w, 3, b?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the second derivative of j**5\/240 - j**4\/16 + 3*j**3\/8 - 2*j**2 + j. Let c(d) be the first derivative of x(d). Determine a so that c(a) = 0.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-32)\/(-12))\/((-2)\/54*(-378)\/(-126))?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 220 divide 3520?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1522516200 to the nearest integer?\nAnswer: 39019","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(v\/v**(-2\/23)))\/(v*v\/(v\/(v\/(v**(-9\/4)\/v)))*v)*(v**(2\/9))**(9\/10))**(-3\/28) assuming v is positive.\nAnswer: v**(8469\/12880)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.223 rounded to 1 dp?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 2*d. Let j(h) = -5*h + 2. Let b be ((-20)\/25)\/(6\/15). Let z be j(b). Let o be r(z). Solve -1 - o = 5*y, 3*p = -y - 20 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 55.9 - 56. Let o = 1.3 + -0.3. Which is the nearest to y? (a) o (b) -0.5 (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 4*y - 11809 = -3*g, -4*g + 59089 = 5*y. Let u = 22578 - y. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/250? (a) 9 (b) 0.04 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence irf when three letters picked without replacement from {u: 2, i: 2, f: 2, s: 1, r: 1, h: 1}.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/11? (a) -28\/19 (b) -3\/8 (c) -3\/2 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -429 or -430?\nAnswer: -429","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 10*n - 1 - 16*n**3 - 5 + 3 + 15*n**3 - 4*n**2. What is the remainder when 25 is divided by f(-6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 4*u**3 - 2*u**2 - 2*u - 53. Let b(w) = w**3 - w - 19. Let r(s) = -3*b(s) + v(s). Calculate r(0).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1161\/903*(-42)\/99)\/1.\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*v - 5*q - 4, -2331*q + 2261*q = -4*v - 4 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -4*z + 2*z. Let l(h) = -h**3 + 7*h**2 + h - 6. What are the prime factors of l(z)?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4 (b) 30 (c) -3\/2 (d) 71.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10 - x - 10)*(4*x**2 - 5*x**2 + 2*x**2) - 6*x**2 + 6*x**2 - 8*x**3 + (13*x + x + 2*x)*(2*x - 2*x + x**2).\nAnswer: 7*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from etwteewbwbe. What is prob of picking 2 e and 2 w?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -74143081.9999944 - -74143115. Let n = 33 - s. What is n rounded to six decimal places?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1385139857 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**3\/b**3)**18\/((b\/b**6*b*b)\/(b**(-2)\/b*b)*b\/b**(-3)*(b\/(b\/((b\/b**(1\/4)*b)\/b)*b)*b)\/b) assuming b is positive.\nAnswer: b**(-11\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n**3 - 3*n**2 - 2*n - 4. Let i be (-5)\/((-19)\/9 + 2). Suppose -5*t - 2*s + i = 3*s, -3*s = t - 19. Let l be f(t). Solve -l*u - 1 = 19 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-8\/5)\/w**(-7)*w**(-4)*w*w**8 assuming w is positive.\nAnswer: w**(52\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 u and 1 f when four letters picked without replacement from {f: 2, n: 3, u: 5, j: 5}?\nAnswer: 4\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/(-6)*(11 - 17). Let y(o) = o**2 + 12*o + 7. Let t be y(-11). Suppose 0 = -3*b - 2*b. Put t, b, a in descending order.\nAnswer: b, a, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1.2 from -102.\nAnswer: -103.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4)\/(32 - 12 - 12)*(-2)\/7. What is the nearest to -1\/3 in -0.29, -3\/5, 0.3, i?\nAnswer: -0.29","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-11985)\/(-21) - 1)*(-42)\/(-12) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -23.06 - -1.06. Which is smaller: 1 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/((-6)\/(-7))*(-187)\/(201586\/176)?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/1955234 less than or equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f**2 + 2*f + 12. Let x be q(0). Suppose -5*i = -102 + x. Calculate the least common multiple of 4 and i.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 3*m = 2*m - 10, 2*f - m = 64. Suppose -32*h - 12 = -f*h. List the prime factors of (-4 - (-331)\/2) + 3\/h.\nAnswer: 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*o**2 - 2*o**2 + o**2)*(3*o - 5*o + 2 - 15*o) to the form j*o**3 + q*o + v*o**2 + g and give v.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*q = 34*q - 24. Suppose 0 = 32*j - 31*j - q. Solve 0*r = 3*r - j for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/110 in 0.4, 0.3, -0.1, -3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 2*u**3 - 7*u**2 - u - 5. Let k be 6\/4 - 280\/16. Let n = k - -22. Is h(n) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -15165251.75413174 - 0.24586826. Let x = n + 15165250.8299951. Let f = x - -1.17. What is f rounded to 6 dps?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(-7) + (-22375)\/6265.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -3*d**3 + 2*d**2 - 2*d - 2. Suppose 2*i = -i + 72. Suppose 2*r + 2*r - 5*v = -27, i = -4*r + 4*v. Is h(r) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 74 - 47. Let s(p) = -28 - 11*p - 3*p + i*p + p. What are the prime factors of s(10)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -120 * 45.75.\nAnswer: -5490","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1920, 3, -3\/5?\nAnswer: 1920","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.01 - 0.51. Let n = -4.5 - z. Let w be (110\/11 - 12)\/((-2)\/5). Which is the smallest value? (a) n (b) 0.07 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = 2*t - 8. Let v(k) = k**3 - 3*k**2 + 4*k - 4. Let q be v(t). Suppose 4*g - 4 = q, -6 = -5*i - 4*g + 43. Let j(d) = -d + 12. What is j(i)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = -4*t + 88, 5*t + o = -0*o + 80. Which is bigger: 15 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4532, -18065, -40616, -72185?\nAnswer: -112772","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the third derivative of 25*d**8\/224 + 7*d**7\/4 + 267*d**6\/40 + 79*d**5\/10 + 7*d**4\/2 + 2778*d**2. Solve f(n) = 0.\nAnswer: -7, -2, -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*r**3 - r**3 - r - 6*r**2 - 4 + 6*r**2 in the form j*r**2 + w + m*r**3 + o*r and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m**2 + 5*m - 10. Let b be l(-7). Let u(a) = -a**3 + 20*a**2 - 34*a + 39. Let s be u(18). Suppose 0 = -t - b*t + s. Does 5 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + (18 - 0) - (-2400 - -2452)?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/84 and 37\/7.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 0.324 - 162\nAnswer: -161.676","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the first derivative of 5*f + 1\/4*f**4 + 7\/2*f**2 + 0*f**3 - 9. Let b(i) = -i**3 - 6*i - 4. What is 7*b(w) + 6*o(w)?\nAnswer: -w**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -109, 214, 709, 1382, 2239, 3286?\n\"Answer: y**3 + 80*y**2 + 76*y - 266","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 555 = 426269?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 32827 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = a + 1058, c = -a - 0*a + 350. Let s = 239 - c. Let u = s - -109. Sort 33, u, 0 in decreasing order.\nAnswer: 33, 0, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2065 a multiple of 61?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 76*b - 3188 + 2370 = 4350 for b.\nAnswer: 68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 977?\nAnswer: 977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j**2 + 31*j + 709. Let c be q(46). Solve 0 = 2*l + l + 4*d - c, l = -4*d + 17 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4842 divided by -1614\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 468 minutes after 5:00 AM?\nAnswer: 12:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -131332133 (base 4) to base 14\nAnswer: -32a63","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 4*c + 4 - 2 = 0, -2 = -l + 5*c. Suppose 0 = y + 5*v - 74, 0 = v - 3 - l. Let i = y + -49. Solve i*g = 3*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 18, -49847, 4 in descending order.\nAnswer: 18, 4, -3, -49847","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Let z = 833 + -811. Let f(h) = 3*h**2 - 9*h - 93. What is the units digit of f(z)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 102 - 13108?\nAnswer: -13006","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -8 (base 11) to base 8.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 2, -0.58, 1632 in ascending order.\nAnswer: -0.58, 0, 2, 1632","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 533 is divided by 67.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -2*r**2 - 4*r - 4. Let z(l) = 2*l**2 + 5*l + 5. Let p(v) = -5*j(v) - 4*z(v). Let y(o) = -o**2. Give -3*p(t) - 4*y(t).\nAnswer: -2*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -233 + 4?\nAnswer: -22b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 110*k - 2. Let l be i(-4). Let t = 460 + l. Find q, given that 0 + 12*q - t*q**2 - 3\/2*q**4 + 9*q**3 = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 91674 and 1947.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -303*l**2 - 7 + 330*l**2 + 6*l - 2*l. Let w be z(3). Suppose -3*k + w = -1. Does 18 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide 1170?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 218295156?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2052 - -2060.8. What is r rounded to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 330*k + 1 + 896*k + 1 + 103*k + 721*k to g + p*k and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 times -491?\nAnswer: 98.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 22103123 - -3?\nAnswer: 22103131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (30\/(-5))\/(3\/(-2)). Suppose 2*o + o = v*b - 16, 2*b - 4*o = 8. Find the first derivative of -2*h**2 + 2*h**2 + 4*h**b - 6*h**4 + 3 wrt h.\nAnswer: -8*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = j - 3*j + 5, -5*j = 0. Let d = t - -4. Suppose 4 = -3*g - g. Do d and g have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the third derivative of -2\/15*v**3 + 0*v - 1\/60*v**4 + 1\/150*v**5 + 0 + v**2. Factor n(b).\nAnswer: 2*(b - 2)*(b + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -95, -696, -2255, -5228, -10071?\nAnswer: -17240","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = m - 5*p - 12, 4*p - 2*p - 2 = -3*m. Solve -2*g = 3*i - i + 8, -2*g + m*i - 4 = 0 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 22.8 and -10.4.\nAnswer: -237.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 134020461 (base 7) in base 3?\nAnswer: 121101120100010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5069*d + 5065*d + 2*r - 18 = 6, -3*r + 36 = d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -888 + 13382\/15. Calculate the common denominator of 65\/696 and i.\nAnswer: 3480","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1770500483 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4356*j**3 - 4387*j**3 + 8650*j**3.\nAnswer: -93*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 58445?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 10919 to the power of 1\/2, to the nearest integer?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yuy when three letters picked without replacement from {y: 4, z: 3, r: 4, s: 2, f: 1, u: 1}.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -414 equal to -412?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 2058*w + 96730. Calculate a(-47).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4\/((-27)\/(351\/(-52))). Which is the nearest to -0.02? (a) r (b) 3\/7 (c) -4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 15) to base 8\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 567.1182 nanometers?\nAnswer: 0.00005671182","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -182 - z + 85 + 94 + z**2. Let t be 2*(-3)\/6*0. Calculate s(t).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = -2*z + 4, -2*w - 8 = 2*z + 2*z. Suppose z = -4*f + 2 + 6. Suppose -f*h + 8 = -0*h. Solve h*y + 2*j = 28, -2*y + 3 = y - 3*j for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a millennium in centuries?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 21500 to the nearest 10000.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 10*x**3 - x**2 - 2*x - 1. Let w be z(2). Let c = -319 - w. Round c to the nearest 100.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -305.24*-0.1\nAnswer: 30.524","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 34930 to the nearest integer?\nAnswer: 187","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -695*o**3 - 13*o**2 - 690*o**3 + 13*o**2 - 689*o**3 + 2076*o**3.\nAnswer: 2*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1386*m = 1385*m + 25 for m.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that -5*j**3 - 229675*j**2 - 5968170*j = 0.\nAnswer: -45909, -26, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w**3 + 34*w**2 + 9. Calculate x(-34).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/(-4))\/(30121\/2648).\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the third derivative of -7*j**4\/24 - j**3\/6 - j**2. Let t be h(4). What is the remainder when -1 + -2*t\/2 is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 5\/(5\/3) + 3127. Suppose 0 = 5*m - s - 1485. Suppose y - m = -0*y. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1383964 equal to 6919827\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -1100200302 (base 5) in base 4?\nAnswer: -20331233331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22 + -21 + 71 - 55.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41312 is divided by 79.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 69 - 69. Suppose -2*t - 846 = -5*l, -2*l + t + b*t + 338 = 0. What is the units digit of l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.39 (b) 0.4 (c) 10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4987612 divided by -170?\nAnswer: -2493806\/85","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c**3 + 7*c**2 - 4*c + 1. Let g(v) = 21*v**3 + 27*v**2 - 17*v + 6. Let t(y) = -g(y) + 4*s(y). Determine t(1).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1634.9 times 9?\nAnswer: -14714.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 11 and 164581?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*l - 151*l + 725 = -37*l - 3503 for l.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-836)\/88 + 9\/1. Which is the closest to 0? (a) j (b) -2\/7 (c) -9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35*t**2 + 829 - 832 + 13*t**2.\nAnswer: -22*t**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 46 divided by 15792.\nAnswer: 23\/7896","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*o + 588 = -3*o + 3*q, -2*o + 0*o - 4*q + 88 = 0 for o.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the second derivative of 7*n**4\/12 + n**3\/6 - n**2 + n. Suppose 0*k = 5*k - 45. Calculate the remainder when w(-2) is divided by k.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 13 + 286. Let m = 594 - j. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -b**3 + 7*b**2 + b - 7. Let l be g(7). Suppose 30 = -l*v + 5*v. Which is greater: v or 4?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 3*d - 1275 = 0, 0 = 2*k + 2*d - 670 - 602. What is the tens digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 14 = -2*r, -31*r = -3*a - 30*r + 12. Solve 5*z - 25 = -5*d, -a*d + 10 + 11 = 3*z for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 678*l - 2739. Calculate a(4).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5503 - 840567.\nAnswer: -840566.4497","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8052 - 8014. Suppose -4*f = -7*f + 6. Suppose f*j = -4, 3*j + 5 + 15 = h. What is the least common multiple of o and h?\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 113*u**2 + 36*u**2 + 45*u - 19*u - 26*u to k*u**2 + p + n*u and give k.\nAnswer: 149","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 j when three letters picked without replacement from ujcjuuhjjju.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -25 - -25. What is the closest to n in -1, -0.4, 4, 0.5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14, 30, 136, 334, 654, 1126, 1780?\nAnswer: 2646","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1525506010 to the power of 1\/6, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1432784242?\nAnswer: 2, 17, 42140713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -45895854 divided by 2922.\nAnswer: -15707","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 428*s**3 + 7*s**2 + 6*s + 525. Let w(k) = -430*k**3 - 6*k**2 - 5*k - 526. Let q(m) = 5*d(m) + 6*w(m). Differentiate q(u) wrt u.\nAnswer: -1320*u**2 - 2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t**2 - 1817*t + 798307. Determine u(744).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -320*k. Let x(y) = 6*y + 1. Let f(r) = -5*r - 1. Let d(z) = 2*f(z) + 2*x(z). Calculate d(v(w)).\nAnswer: -640*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 407783 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 94 + 5. Let l = r - 100.11. Let x = 0.41 + l. What is x rounded to 1 decimal place?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve -125168 - 210198 + 17817 = 3083*j for j.\nAnswer: -103","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*m**4 + 86645*m**3 - 1416*m**2 - m + 38 wrt m.\nAnswer: 48*m + 519870","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z - 95*z**3 + 1 + 28*z**3 + 38*z**3 + 28*z**3. Suppose 3*o - 6 = 9. Let m(y) = 3*y**3 - y**2 - 4*y - 5. Calculate o*x(n) + m(n).\nAnswer: -2*n**3 - n**2 + n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -67\/7692453 and 95\/117892?\nAnswer: 30769812","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4960 and 60512.\nAnswer: 302560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 114404615*s**2 + 61198404*s - 2 wrt s?\nAnswer: 228809230","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-6)\/(-39) + 271702\/(-13). What is x rounded to the nearest 1000?\nAnswer: -21000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 112 + -109. Solve 5*a - 9 = 4*z, k*a - 2*z = 7*a - 2 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -22, -5, -35195, 0.\nAnswer: -35195, -22, -5, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 50 and 3810?\nAnswer: 19050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 480 and 3240?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8 + 1. Let r = 438 - 377. Calculate the common denominator of 27\/l + r\/4 and -17\/16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5096 and 46774?\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -9754 + 19509\/2. What is the nearest to -2 in r, 7, 103?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 58296, 58295, 58294, 58293, 58292?\n\"Answer: -f + 58297","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the second derivative of -u**6\/180 - u**5\/15 - u**4\/3 - 2*u**3 + 3*u**2\/2 - u + 13. Let s(y) be the second derivative of c(y). Factor s(w).\nAnswer: -2*(w + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 70 and 182164920.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the first derivative of -21*a**2\/2 + 335. Let s(j) = 2*j**2 - 3*j**2 + 0*j**2. What is s(c(l))?\nAnswer: -441*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve v - 50 = 8*f - 6, -4*v - 24 = -2*f - 20 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/(-14) - 104\/(-56). Suppose 24 = 2*i - 0*i. Solve 3*b + q*r = b + i, 26 = 5*b + 4*r for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (13070\/25 - (-2)\/(-1))*(-540)\/(-27)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ygf when three letters picked without replacement from ygfggggyf?\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1595578 and 18.\nAnswer: 14360202","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 517\/99 - 5\/1.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - 0) + -12 + (-24 - -29) + 3?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i**3 + 6*i**2 - i + 1. Let k be p(-6). Suppose -k*u + 20 = -2*u. 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(t) = t**3 - 2*t**2 + 3*t - 6. Let z be q(2). Suppose z = -25*p + 10*p + 684885. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -33023131 (base 4) to base 14\nAnswer: -1892d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*j**2 + 23*j**2 + 21*j**2 - 37*j**2.\nAnswer: -j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -3497 less than or equal to -3498?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000011709 to five decimal places.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -15 - -19. Suppose 2081 = 2*w + f, -i*f - 1051 = -w - f. What is the hundreds digit of w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2 + 1)*((-2 + 2*u + 2)*(-3 + 4 - 2) - 5*u - 15*u - 2*u).\nAnswer: 72*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -55*x**3 + 20*x**3 + 22*x**3 + 14*x**3.\nAnswer: x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gbgsbgggb. Give prob of sequence gbsb.\nAnswer: 5\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*x + 2*x + 2*x**3)*(-30 + 13 + 27 + x) to y*x**4 + d*x**3 + f*x + a + v*x**2 and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y + 7*y = -15 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m = 5*p + 1, p - 14 = 5*m - 20 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*p**3 - 1 - 3 - p**3 to j*p**3 + d + h*p**2 + z*p and give d.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1391*r**3 + 17807*r**2 - 17807*r**2.\nAnswer: 1391*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*k + k + 5*p - 30, -4*k - 3*p = -26. Suppose -k*v - 5 = -70. Let t = 41 - v. What is the tens digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 0*x = 6. Let o be (-9)\/(-12) + 2 - x. Which is smaller: o or 0?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 89\/8 and -33\/652?\nAnswer: 1304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -157*v + 30*v + 56*v + 56*v. Let f(o) = -o**2 - 118*o. Determine l(f(b)).\nAnswer: 15*b**2 + 1770*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8 + -4. Let d(m) = 4*m**2 + w*m**2 + 1 + 0. Let a = -3 + 4. What is d(a)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kqkkqq. What is prob of picking 2 k and 2 q?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.11 + 8.239.\nAnswer: 8.129","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -11*b - 1784. Let l(m) = 14*m + 1779. Calculate 5*g(i) + 4*l(i).\nAnswer: i - 1804","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8272 - 4630. Let u = -54662\/15 + x. Let n = -7\/3 - u. What is the second biggest value in 0.4, n, 3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4\/3 + 224\/12. Let s be ((-5)\/o)\/((-44)\/96). Factor -s*m - 4\/11 + 6\/11*m**3 + 4\/11*m**2.\nAnswer: 2*(m - 1)*(m + 1)*(3*m + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iqruqrraqqarnu. Give prob of picking 1 i and 2 q.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1645.7 - -1645. Which is the second biggest value? (a) -1\/6 (b) n (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 - 0) + -8 + 4 + 4?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 626844 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -2*j**4 + j**3 + j**2 - 2*j**3 + 3*j**4 - 2 + 1. Let k(v) = -2*v**5 - 3*v**4 + 11*v**3 + v**2 - 16*v + 9. Let o(f) = -2*b(f) - 2*k(f). Factor o(l).\nAnswer: 4*(l - 1)**3*(l + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 842*p**2 + 597*p?\nAnswer: 1684","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -3, 34, -5, -49, 1 in increasing order.\nAnswer: -49, -5, -3, -2, 1, 34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 291892, 583720, 875560, 1167418, 1459300?\n\"Answer: r**3 + 291821*r + 70","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (d - 3*d - 3*d)*(2*d**2 - 4*d**2 + 2*d**3 + 3*d**2) - 21*d**4 + 6*d**4 + 112*d**4 to x*d + p*d**2 + c*d**3 + g + j*d**4 and give c.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 1941*w - 348. List the prime factors of k(4).\nAnswer: 2, 3, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -u**3*w**2 - 750*u**3*w + 7*u**2*w**2 - 32*w**2 wrt u?\nAnswer: -6*w**2 - 4500*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -c**4 + 2 - 8*c - 6*c - 9*c**3 - 6*c**3 - 2*c**4 + 11*c**3 to x*c**2 + d*c**4 + j*c**3 + r*c + v and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (48\/(-10))\/4*(-1106)\/(-28)*(-1250)\/750?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 859078 to the nearest integer?\nAnswer: 927","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 31 - 31. Solve z*g + g = 0 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -16*g + 104. Let n(h) = -38*h + 244. Let w(r) = 5*m(r) - 2*n(r). Let v(i) = -2*i - 2. Let x be v(-5). Determine w(x).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*p**3 - 8*p**2 - 2*p**3 + 8*p**2.\nAnswer: p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*a, 2*d - 31671 = -4*a - 1765. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -71 - -76. Suppose -5*n - 10 = 0, -76 = -4*z + h*z - 2*n. What is z rounded to the nearest ten?\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -118*h = -126*h + 80. What is the lowest common multiple of h and 2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18721048 is divided by 75.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 2*k**3 + 10*k**3 - 4 - 8*k**3.\nAnswer: 4*k**3 - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 770196068 - -655.431\nAnswer: 770196723.431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -22*g + 17*g + 9*g - 20. Solve 5*p - 9 + 14 = g*a, 0 = 4*p + 16 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 266366572 to the nearest integer?\nAnswer: 16321","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 70 - 47. Let j(r) = 23 - g - r. Let l(v) = 3*v**2 + 7. Let y(o) = 2*o**2 + 5. Let q(k) = 5*l(k) - 7*y(k). What is q(j(m))?\nAnswer: m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w - 6 + 2 = -4*z, 0 = -2*z - 2*w - 10 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 17, 5, 63, 1 in descending order.\nAnswer: 63, 17, 5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.128 less than 151893230.5?\nAnswer: 151893230.628","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 13490362297 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**2)**13*(w**2)**(21\/8))\/(((w**(2\/5)\/w)\/(w*w*w\/(w*w*w\/(w\/w**(2\/19)))))\/(w\/(w*(w**(-1)\/w)\/w*w))**27) assuming w is positive.\nAnswer: w**(32963\/380)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 5) to base 15\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve r - g + 1 = -r, 11 = 3*r - 4*g for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (60\/(-120)*9*-3)\/((88\/(-48))\/11).\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 92?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2900764?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 227802663059 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2568637 is divided by 13736.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 53 + -43. Suppose -z + h = 5*o, z - 5*z = -5*o + 10. Calculate the smallest common multiple of 26 and o.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 36783487 to the nearest 1000000.\nAnswer: 37000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*m - 90 = -126. Let n = 15 - 5. What is the third derivative of m*h**2 - n*h + 18*h - 8*h + 13*h**3 wrt h?\nAnswer: 78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 5*k + 2. Let u(q) = 4*q + 1. Determine 6*u(j) - 5*w(j).\nAnswer: -j - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -163.1 less than 456018.3?\nAnswer: 456181.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = 5*j - 240, 5*l = -4*j - 246 - 95. Which is the closest to -1? (a) 0.5 (b) l (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand w**3 + w - w + (0*w + 0*w - w**2)*(3*w - 2*w + w) + 2*w**3 - w**3 - 3*w**3 + 5*w**2 - 1 + 39*w**3 + 9*w - 4*w**2 - 37*w**3.\nAnswer: -w**3 + w**2 + 9*w - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-18)\/(-5) - 4\/(-10). Suppose 5*x - 3*q + 10 = 0, 23 = -x + 4*q + w. Let s = 3 - x. Does 2 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 4, k: 1, l: 6, b: 3, o: 1}. What is prob of sequence lbl?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3648235*d**2 + 2380456.\nAnswer: -7296470*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 677202.2999952 - 677203. Let t = d + 0.7. What is t rounded to 6 decimal places?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*sqrt(637)*-2 + (sqrt(637) - ((sqrt(637)*-3 - sqrt(637)) + 0)) + sqrt(637))*-2)**2.\nAnswer: 499408","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.59 - 0.11. Let j = 9.2 + i. Round j to the nearest integer.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1 at most as big as 3152\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 56854892622 - 6.\nAnswer: 56854892616","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 3*r + 362 + 337 = 0, y + 4*r = 258. Find the second derivative of 127*o**2 - 67*o - y*o**2 + 25*o wrt o.\nAnswer: -222","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 4 = 3*f. Suppose 4 = i - o, 4 = -f*o - 12. Suppose -h + 11 + 6 = i. Does 11 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-5)*u**(-1)*u assuming u is positive.\nAnswer: u**(-5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 501 minutes after 8:06 AM?\nAnswer: 4:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 87555 and 14817.\nAnswer: 963105","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 2*v. Let w(m) = 0*m + 2*m - 2*m**2 + m. Let z(p) = -4*p**2 + 5*p. Let q(l) = -5*w(l) + 3*z(l). Determine a(q(h)).\nAnswer: -4*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2000, 2001, 2002, 2003, 2004?\nAnswer: 2005","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -208222 by 1345.\nAnswer: -208222\/1345","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 43, 2, -0.3 in descending order.\nAnswer: 43, 2, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(1088) + (-1 + sqrt(1088) + -1)**2).\nAnswer: -5460 + 120*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -x - 2*j, 19 = 3*x - 4*j - 1. Suppose -3*q - 4 - 2 = x. What is the units digit of q\/((-2)\/8*1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -0.2 (b) 173 (c) 2 (d) 1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 709 + -709. Solve 0 = -8*f - m*f - 40 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from volmocmci. Give prob of sequence mcc.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 993, 985, 975, 963?\n\"Answer: -b**2 - 5*b + 999","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the second derivative of -x**6\/75 + 3*x**5\/50 - x**4\/10 + x**3\/15 + 4*x - 14. Find v such that w(v) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000003055 to 7 dps.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -892*l**6 - l**3 + 20*l**2 - 7?\nAnswer: -107040*l**3 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in twenty-one halves of a meter?\nAnswer: 1050","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j - 10 = -3*s + 16, 3*s = j + 2 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**1)**(-29)*u\/(u**(-4)\/u*u)*u*u*u**(-3\/4)*u*u)\/((u\/u**(-2\/7)*(((u*u\/u**4)\/u)\/u)\/u)\/((u\/(u\/(u\/u**(1\/4))))\/u)**23) assuming u is positive.\nAnswer: u**(-725\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 63 or -280?\nAnswer: 63","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c = 2*l - 25, -463*l + 4*c - 20 = -458*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 11.93, -0.5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -120222202 (base 4) to base 12\nAnswer: -4a56a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.5201 - -0.3201. What is the second smallest value in 3, -352, -1, y?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the first derivative of -l**2\/2 - 49. Let x(t) = 15*t**2. Calculate s(x(r)).\nAnswer: -15*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -3*y**2 - 170*y - 418. Calculate a(-55).\nAnswer: -143","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cg when two letters picked without replacement from gxpcpgixcippx.\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 3*k + 26 = 1, 0 = -2*q - 2*k + 10. Let y be 0*(-1 + (-8)\/(-4)). Suppose y = -22*d + 23*d - 110. Calculate the highest common factor of d and q.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that -3*i**5 + 30*i**4 - 102*i**3 + 108*i**2 + 81*i - 162 = 0.\nAnswer: -1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*v - 21*v - 2*u + 5622 = 0, -2*u - 4199 = -3*v. What is the tens digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42*r + 1224 = 2064 for r.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10 + 7. Let s(k) = -3*k + 5. Let d be s(m). Suppose -4*q + 2*q = -4*u - d, -2*q + u + 8 = 0. Solve -x - 2 = x - 2*y, -4*y + 3 = -q*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 1, a: 2, g: 7, u: 5, j: 1}. Give prob of picking 1 g, 1 u, and 1 a.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from {h: 3, f: 15}?\nAnswer: 35\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 564\/(-15) - 2\/5. Let p = o - -69. What is the units digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (z + 0*z + 3*z)*(39 + 819 + 1185) to the form k*z + s and give k.\nAnswer: 8172","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 3, d: 4, p: 6}. What is prob of picking 1 n and 1 p?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (71\/3)\/(-1 + 4\/6). Let c = 26 - q. List the prime factors of c.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -58 + -d?\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -54915 (base 11) to base 15.\nAnswer: -188de","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 5 + 1)*(29*y - 29*y + 12*y**3) + 2*y**3 + 27*y**3 - 15*y**3.\nAnswer: -34*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 12\/(-40)*-26 + (-3)\/(-15). Suppose -4 = -d, t*p - 42 = 6*p - 4*d. Solve -9 = p*a - 9 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000015524 rounded to six decimal places?\nAnswer: -0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 2161200 to the nearest 100000.\nAnswer: 2200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6 * -0.0577.\nAnswer: 0.3462","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4309 and 217.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 9753388 to the power of 1\/2, to the nearest integer?\nAnswer: 3123","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -5.5432 to the nearest integer.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r**4\/9 + 2*r**3\/3 - 2*r**2 + 10*r\/9 = 0. Calculate r.\nAnswer: -5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 436080 to the power of 1\/3, to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -5\/2, 0, -0.3, -14\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 - -2 - (5 + -103) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 468\/(-416)*(6\/4)\/(3\/8)?\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 12 - 3 = -3*h, -4*h = -3*g - 23. Let w(j) = 0*j**2 - 6 + 6*j**2 + 8*j - 7*j**h. Does 4 divide w(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*k = 37*k - 594. Suppose -4*m = -2*m - 4*g - 48, -5*m + k = -3*g. What is the remainder when m is divided by 9\/(-5)*(-180)\/27?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c**2 + 5*c - 4. Let m be r(5). Let l(n) = 4 - n + 1 + 6*n + n**2. Calculate l(m).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 1092*f**3 - 2*f**2 + 11*f - 9. Is m(1) a multiple of 91?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 11791?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(-34) + 3268\/(-323)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 525 minutes before 9:54 AM?\nAnswer: 1:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 3*w = 12, w + 5 = 2*k - 2. Let j = k - -19. Solve j = 5*v - v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*f**2 + 15*f**4 - 12*f**4 - 17740*f + 17740*f + 62 as b*f**3 + z*f + h*f**4 + w + s*f**2 and give w.\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-4)\/6)\/((-6)\/9). Let n(f) = -f**2 + f. Let j(r) = -3*r**2 + 2*r. Give t*j(c) - 2*n(c).\nAnswer: -c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 2 + 0*b**2 + 7*b**2 - 7*b + 10*b. Let l be w(-1). Solve -4*v - 8 = 0, p - l*p + v + 12 = 0 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 82 = -5*k, -4*b + 9*b + 69 = 4*k. Let o = k + -16. Suppose 4*i + 0 + 2 = 2*n, -i - 2*n + 12 = o. Solve -z = -i*z - 5 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 2710, 2715, 2730, 2761, 2814?\n\"Answer: c**3 - c**2 + c + 2709","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 14 - 6 + 39*n**2 - 48*n**2 - n + n**3. Let r be t(9). What is the common denominator of 1 - r - 75\/(-35) and -93\/8?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -74 + 79. Suppose g - 15*n = -11*n - 16, -l*g = 2*n - 8. Are g and 6\/37 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3051860 divided by -435980\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -9.9 - -1.9. Let j = -5 - u. Let n = 172\/261 - -2\/261. What is the closest to n in 4\/3, j, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/15, -2\/3, 8, 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -1022122222 (base 3) to base 4\nAnswer: -12112100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 2*k + 388 = -0*k, p - k - 130 = 0. Suppose 3*l = p + 76. Calculate the remainder when l is divided by 35.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 25\/(-30)*28\/(-35). What is the nearest to -4 in -0.4, i, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 50 divide 68159?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34876 is divided by 810.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(605)*-4)**2 - ((1 + sqrt(5))**2 + -3).\nAnswer: -2*sqrt(5) + 9677","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -t**3 - 103252261161*t - t**3 + 103252261161*t.\nAnswer: -2*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 711549 is divided by 139.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1112 = -13173*p + 13046*p + 793 for p.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the first derivative of v**2 - v - 2. Let m(o) be the first derivative of -o**2\/2 + 9*o + 2. Let f be m(6). What is z(f)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 393998 from -77.\nAnswer: -394075","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40 = -193*q + 201*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*l - 10*l = 5*q - 14738, 3*q - 11052 = -3*l. What are the prime factors of l?\nAnswer: 2, 7, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 133 + -132.99. Let d be (-6)\/4*(-11)\/7. Let f = 20\/7 - d. What is the second biggest value in b, f, 5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h**3 + 5*h**2 + 5*h + 6. Let t be r(-4). Suppose t*v - 3505 = -3*a, -a - a + 2325 = -v. What are the prime factors of a?\nAnswer: 5, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*r = -2*r - 155. Let m = -13 + r. Suppose 3*f - 4*f = -m. What is the remainder when 52 is divided by f?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 80*i**2 + 531714 - 531714.\nAnswer: 80*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 2*g**2 + 3*g + 4. Let q be o(-1). Solve -l - 5*k = -0*l - 13, 0 = -q*k + 9 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((10\/135*-9)\/1)\/(4\/14).\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*s**3 + 2*s**3 - 2*s**3 + (4*s - 2*s - 3*s)*(4*s**2 + 2*s**2 - 4*s**2) - 9*s**3 + 0*s**3 + 2*s**3.\nAnswer: -11*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s**2 + 27*s - 15. Let w be v(12). Let d = w - 164. What is the lowest common multiple of d and 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -b - -d?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t**3 + 5*t**2 - 2*t - 6. Determine u(3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t**2 + 12*t + 25. Suppose -22*v + 139 + 57 = -68. Determine j(v).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -2.244978 and 201.\nAnswer: 198.755022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -139 + 49 = -18*q. Solve -4*i - 14 = -d - 4, -q*i - 12 = -d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gz when two letters picked without replacement from zgdzdzddd.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1722 - -1727. Let z = 0.2 + -0.22. Let i = -3.02 - z. Sort i, v, -2.\nAnswer: i, -2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 76*l = 70*l + 2*o, 5*l - 3*o - 12 = 0 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 819804815 and 1234?\nAnswer: 617","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/15 (b) -0.5 (c) -16 (d) -1674 (e) -45\/43\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -754*m**2 + m - 8. Let n(q) = 1508*q**2 - 2*q + 14. What is 4*n(l) + 7*o(l)?\nAnswer: 754*l**2 - l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -5*f - p, 3*f - 2*p - 2*p - 26 = 0. Let u(w) = w**3 - f*w**3 + 0*w**3 - 3*w**2 - 2*w. What are the prime factors of u(-3)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-8\/3)\/a)\/(a\/((a*a*a*a*(a\/(a\/a**(-11)))\/a)\/a)) assuming a is positive.\nAnswer: a**(-41\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4279 - 13981 = -603*t + 3263 + 5009 for t.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Solve -9*p**2 - 61131*p - 142590 = 0 for p.\nAnswer: -6790, -7\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2152*s - 1306 = -203*s + 8468 - 46805 for s.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-2\/5)*o\/(o\/(o**7*o))*o\/(o\/o**(-3\/2))*o*(o*o*o**(-2\/5))\/o)\/((o**(-1))**20\/(o**(1\/9)*o*o**2\/o)) assuming o is positive.\nAnswer: o**(2683\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1010110111100001 - 101?\nAnswer: 1010110111011100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4 - -4.1. Let x(t) = t**3 - 9*t**2 + 4. Let p be x(9). Let r = -12 - -9. Which is the closest to n? (a) 6 (b) p (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) 8.81 (b) 2 (c) -0.1 (d) -1\/11 (e) -1\/3 (f) -3\/5 (g) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h**2 - 11*h + 8. Let a(u) = -u. Let m(j) = -5*a(j) + x(j). Suppose 2*p - f - 4 = 0, 4*p - 4*f - 11 = -15. Calculate m(p).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (67 + 113 - 21)*(4*i**2 + 5*i - 5*i) as k*i + p*i**2 + a and give p.\nAnswer: 636","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*b + 5*b + 0*b)*((-4*b + 4*b + b)*(b - 6*b - 2*b) + b**2 + 5*b**2 + 0*b**2).\nAnswer: -3*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 393 = 48*m - 5991. Solve 0 = -140*d + m*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: 0.5*2.0194\nAnswer: 1.0097","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d**3 + 38*d**2 - 13*d + 64. Is 8 a factor of g(9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 113122 (base 6) to base 2.\nAnswer: 10011000101010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 24*a**2 + 4*a. Suppose 0 = 2*l - 12 + 4. Let u be z(l). Is (-2)\/(-6) + u\/6 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 24153437?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1627 = 9079*l + 1801*l - 1764*l - 311571 for l.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (10 - 11)\/(2\/82). Let k be (1 + a\/2)*(-14)\/3. Is (4\/(-14) - (-115)\/35) + k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: 11 + (20 - 6) + -9\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 71*h**3 - 36*h**3 + 5*h**3.\nAnswer: 40*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.594 - -0.194. What is the closest to 0.5 in 2\/3, a, -6?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-334900)\/(-102) + 2\/3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = 5*z - 20 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -c**2 - 2878*c - 4*c**3 + 4152*c - 1274*c.\nAnswer: -4*c**3 - c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 341 and 6050?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2440?\nAnswer: 2, 5, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*b**3 - 51*b**2 + 114*b - 45.\nAnswer: 3*(b - 5)*(b - 3)*(2*b - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2498\/2123 + 1\/193. Calculate the common denominator of y and 329\/99 + (-2)\/(-9).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 232071, 232707, 233343, 233979, 234615, 235251?\nAnswer: 235887","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8.81 - 0.19. Let k = t + 8.5. Suppose -5 + 1 = 4*y. Which is the nearest to y? (a) k (b) -0.4 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 8 = 2*h + 3*v, 4*h + 4 = 4*v. What is the remainder when 0 + -1 - 46\/h is divided by (0 - (-3 + -8)) + 1?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/29 in 4, -2, -0.04, -5?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of ((-2 - -6)*-1572)\/((-9)\/6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1.3843 from 0.13555454.\nAnswer: -1.24874546","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k**3 - 5*k**2 - 7. Is r(7) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*o + 1163 = 23. Calculate the remainder when o is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32471384923 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1a7191 + b?\nAnswer: 1a719c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -431 - 32840?\nAnswer: -33371","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -33649 or 6\/941?\nAnswer: -33649","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 633782 to the power of 1\/2, to the nearest integer?\nAnswer: 796","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that q**5\/2 + 855*q**4\/2 + 85816*q**3 - 2405024*q**2 + 3886080*q + 173465600 = 0.\nAnswer: -440, -7, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*v**3 - 9*v**3 - 14*v**3.\nAnswer: -16*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 77996734?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 102 - 34 = -17*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3\/5 + -1\/15. Put 2\/17, 2, c in ascending order.\nAnswer: c, 2\/17, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 45 + -93\/2. Let m = 0.145 - -0.055. What is the nearest to 2 in m, a, 3\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.39 - -0.4. Let c = -115.7 - -115.4. What is the biggest value in -3, w, c?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -87*u - 2. Let x(l) = -458*l - 10. Let t(w) = -16*g(w) + 3*x(w). Let p(f) = -17*f - 3. Determine 2*p(b) + 3*t(b).\nAnswer: 20*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 16 - 8. Suppose -10*u + 14 = -16. Suppose 0 = -r - u*r + 12. Solve -2*o = -5*s + k, -4*o = -r*s - o + 3 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 180, -202, 2, -3 in ascending order.\nAnswer: -202, -5, -3, 2, 180","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2750811313 is divided by 21?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/x**(2\/13)*x**2*x)\/((x\/(x**(2\/5)\/x*x*x))\/(((x*x**(4\/3))\/x)\/x)) assuming x is positive.\nAnswer: x**(893\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -71 - -75. Is m equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2061184853 - -984264178. Let p = h + 1076920701.99999945. Let w = 27 - p. What is w rounded to 7 dps?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 4, 14, 2.\nAnswer: -4, 2, 4, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 4776 divided by -6?\nAnswer: -796","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 578847*c + 0 - 86723*c + 907714*c.\nAnswer: 1399838*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 2*d = 4*d - 9, -26 = -l - 5*d. Let b = 33017124 - 78745839299\/2385. Let k = b + -2\/477. Which is greater: k or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 196.3 + -196. Which is the nearest to -0.1? (a) g (b) 0.054 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 39*u**2 - 123*u**2 + 36*u**2 + 39*u**2. Let s(x) = -x**2 - 9*x**2 + 0*x**2. What is s(d(j))?\nAnswer: -810*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-56)\/20 - 0 - -2.\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*a - 2*a + 42400000. Round a to the nearest one million.\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 2*p**2 - 5*p - 2. Let j be z(5). Let m = j - 12. Calculate the lowest common multiple of 5 and m.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -3, 140, 14 in ascending order.\nAnswer: -3, 1, 14, 140","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 496 divide 545948734?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p + 4*n = -16, 8*p - 13*p - 2*n - 17 = 0 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 75\/2 of a day in minutes?\nAnswer: 54000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -f**3 - 6*f**2 + 6*f - 8. Let n be o(-6). Let v be 1228\/22 - 8\/n. Let h = -164\/3 + v. Which is the smallest value? (a) h (b) 0.4 (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1668e (base 16) to base 5\nAnswer: -10414130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*t - 3*t + t)*(-49 - 21 + 28)*(3*t + 4*t - 5*t)*(47*t + 289*t - 519*t) to the form b*t + j*t**2 + v + o*t**3 and give o.\nAnswer: -30744","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 2*z**2. Let n(i) = 5*i. Give n(s(a)).\nAnswer: 10*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the first derivative of 2*d**3\/21 + 2*d**2\/7 - 1. Factor c(z).\nAnswer: 2*z*(z + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7280, 14533, 21762, 28967?\nAnswer: 36148","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -5 + (-66 - -55 - (-12 - 1))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 7, 30, 87, 196, 375, 642, 1015, 1512?\n\"Answer: 3*a**3 - a**2 + 5*a","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 14*q. Let o(b) be the second derivative of -b**4\/4 + 37*b. What is o(y(a))?\nAnswer: -588*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 13*f**3 - 4*f**2 + 31*f - 81. Let a be h(6). Calculate the highest common divisor of 39 and a.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -10126784 and -10126784 have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4 + 0. Suppose m = 2*v - 0. What is the units digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 3*f - 3. Calculate k(2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -n**3 - 17*n**2 + 1. Let c be b(-17). Let w be (3\/(c - 4))\/1. Is w + -3 + (-4 - -759) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1613*k + 222 wrt k.\nAnswer: 1613","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*j - 24*j + 2142 = -0*j. What is the smallest common multiple of j and 198?\nAnswer: 1386","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 67, 114, 193, 304, 447, 622?\n\"Answer: 16*d**2 - d + 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2191 is divided by 43?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2074528365 to the nearest integer?\nAnswer: 1275","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 24291 - -18665. List the prime factors of q.\nAnswer: 2, 10739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1413 (base 16) in base 10?\nAnswer: 5139","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the third derivative of -q**6\/120 + 7*q**5\/60 - q**4\/3 + 22*q**2. Give i(6).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x. Let p(f) = 3*f. Calculate 5*g(r) + p(r).\nAnswer: 8*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -95.15 + 5?\nAnswer: -90.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the first derivative of 5*d**3\/3 - 3*d**2\/2 + 2*d + 20. Let a be x(2). Calculate the highest common factor of 64 and a.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -727 + 727 + 12*c**2 - 33*c**4 wrt c?\nAnswer: -792*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 354 is divided by 45.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 25322276 to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 25\/2 of a milligram?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = 3*y - 10. Let a(n) = y*n + 8 - n - 5. Let k be a(0). Solve -7 = -2*z - 1, -4*z + 27 = k*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 20644921 to the nearest integer?\nAnswer: 4544","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:03 PM and 5:33 AM?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -4, -12\/31, 4, -0.2.\nAnswer: -4, -12\/31, -0.2, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 0*r - 150 = -3*r, -2*r - 100 = -2*k. What is the remainder when k is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.01 and -0.16888315277.\nAnswer: -0.15888315277","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 38884160 to the power of 1\/2, to the nearest integer?\nAnswer: 6236","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the third derivative of 4*h**2 - 75\/16*h**3 + h + 5\/32*h**4 - 1\/480*h**5 + 0. Factor v(j).\nAnswer: -(j - 15)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p**3 + 4*p**2 + 5*p + 3. Let k be b(5). Suppose 4*g - k*v = -7*v + 16, 12 = g + 3*v. Sort g, 3, 4 in decreasing order.\nAnswer: 4, 3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000674 rounded to five decimal places?\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 + -3. Let d be 2\/6 + o\/42. What is the closest to d in -5, 1, 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j**2 + 8*j - 6. Let v be b(5). Let i(z) = 2*z. Calculate the remainder when i(v) is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-220)\/9680)\/((-2)\/(-32)).\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 9730*t + 280. Let k(r) = -207*r - 6. Calculate 140*k(j) + 3*o(j).\nAnswer: 210*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -4*p**2. Let f(t) = -3*t + 1. Let l(w) = 4*w - 1. Let u(r) = 3*f(r) + 3*l(r). Give b(u(s)).\nAnswer: -36*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l - 1. Let r(o) = -3*o**2 + 11*o - 4. Let d(m) = -4*k(m) - r(m). Is d(6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 233 (base 14) to base 11.\nAnswer: 368","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -3 (b) 71018 (c) 0.1 (d) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -5 + 229729524\/204 + 15 - (-2)\/(-17) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((63\/(-9))\/(-35))\/((-40)\/(-2600))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n**3 - 11*n**2 - 11*n + 121. Let r be z(11). Let k(g) = 15*g + 21. What is k(r)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1164203.\nAnswer: 1164203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the second derivative of -3*q + 0 - 1\/84*q**4 - 1\/7*q**2 - 1\/14*q**3. Suppose b(r) = 0. Calculate r.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-22)\/(836\/(-75)))\/((-3)\/(-4) + 0). Let g(t) be the first derivative of 340\/19*t**3 + 18 - 188\/19*t**2 - 525\/38*t**4 + u*t**5 + 48\/19*t. Factor g(r).\nAnswer: 2*(r - 3)*(5*r - 2)**3\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 52.79291 tonnes to milligrams.\nAnswer: 52792910000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 736.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n - 35 = -5*o, 3*o + 6961 - 7015 = -6*n for n.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -129050 to the nearest 10000.\nAnswer: -130000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-3)\/15 - 334\/80) + 4. Which is the third biggest value? (a) 0.1 (b) -1 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/(-4)*(-396)\/(-18). Put 0.4, -1\/5, k in decreasing order.\nAnswer: 0.4, -1\/5, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.002054272 to 4 dps.\nAnswer: -0.0021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17780 divided by 158.\nAnswer: 8890\/79","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-28)\/(-6) + -2)*(-7)\/(-28).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*o - 5*o + 4*o + 2*o + 3*o - 3*o + (-3*o + 0*o + o)*(-3 - 2 + 7) - 11 + 11 + 8*o)*(0*o + o + 0*o).\nAnswer: 7*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.905 and -0.7.\nAnswer: 0.6335","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5443 (base 9) to base 16.\nAnswer: -fa8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -303 + c7d?\nAnswer: 97a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from caaacccaam. Give prob of picking 1 m and 3 c.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the second derivative of -k**5\/20 + k**4\/4 - 2*k**2 + 7*k. Let z(w) = w - 3 - w**3 + 3*w**2 + 2*w - w. Let j be z(3). Determine q(j).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.3 (b) -205 (c) -1 (d) 119 (e) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 5) to base 16\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1 + 10232?\nAnswer: 10233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 3*f**2. Let s be ((-4)\/(-6))\/(14\/483). Let o(h) = -s - h + 23. Give o(y(l)).\nAnswer: -3*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the first derivative of r**4\/4 + 13*r**2\/2 + 9*r - 391. Let z(n) = 6*n + 4. Give -6*w(u) + 13*z(u).\nAnswer: -6*u**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6923 + -83131\/12. Let u = 1043574 + -10387613\/10. Let r = u - 4807. What is the common denominator of r and z?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 70.55 * 3053.9.\nAnswer: 215452.645","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 620 minutes after 11:01 AM?\nAnswer: 9:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that 4*b**2 + 546664104*b + 18677602662632676 = 0.\nAnswer: -68333013","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 55*h - 55*h - h**2.\nAnswer: -h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1 - (-20)\/5) + -1. Solve h = w - 4 - 1, 4 = -r*h for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 541 - 371. Let f be 34\/z + (-481)\/5. Let j = f - -112. What is the greatest common divisor of 2 and j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5 and -4877.\nAnswer: -24385","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 747212 and 4581.\nAnswer: 509","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 236 times -0.2?\nAnswer: -47.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 67 - -6. Let c = n + -7. Let q be -1 + c\/2 + 0. Calculate the highest common divisor of 16 and q.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p, 1 n, and 1 l when four letters picked without replacement from pnqnnqnplcnp.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -f (base 16) to base 12.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -16 + 47\/3. Let n(d) = d**3 - 56*d**2 - 117*d + 68. Let a be n(58). What is the third biggest value in a, 4, 1, b?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.03, -2\/7, -1, -37 in increasing order.\nAnswer: -37, -1, -2\/7, 0.03","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 14\/3 in 1.06, 1\/16, 3, -1\/2, 0.1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16385 is divided by 193?\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33660314 is divided by 56?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f**2 - 2*f - 5. Let i(n) = 2*n - 4 - 38*n**2 - 5*n + 40*n**2. Let o(g) = -2*i(g) + 3*p(g). Differentiate o(m) with respect to m.\nAnswer: -2*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = -5*j - 13, -4*j - 2 = 4*k + 18. Which is the second biggest value? (a) j (b) 2\/3 (c) 0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-26)\/(-39))\/((-1)\/3). Let u(i) = -11*i - 20. Let g be u(d). Solve -8 = 3*k - g for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.8 (b) -2 (c) 0.2 (d) 1\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/((-183)\/(-854)*2\/(-3)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 267294 and 18.\nAnswer: 801882","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:12 PM and 6:08 PM?\nAnswer: 296","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 20 = 0, 21 = -4*w - 3*d + 34. Is -4 + w\/(-14)*-5854 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*(1 + sqrt(32) - (0 + sqrt(32))) + 5*4*(sqrt(10)\/sqrt(5) + -4))*4*2)**2.\nAnswer: -220160*sqrt(2) + 524544","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (1*3\/(-4))\/(8\/32*(-9)\/12)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3470 a multiple of 81?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the second derivative of -l**5\/20 - l**4\/6 + l**3\/6 + 8*l**2 + 241*l - 6. Calculate r(-4).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*p - 9*p. Suppose 3*x - 10790 = 5*m, 4*x - m - 4*m - 14390 = 0. Suppose 3*a + p*a - x = 0. What is a rounded to the nearest one hundred?\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/283360 and 17\/70840.\nAnswer: 283360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (1 + 6)\/(-12 - (-1 + -10))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 29\/1102980 and 119\/661788.\nAnswer: 3308940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 15844 to the power of 1\/2, to the nearest integer?\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -5*t + 20. Let r = t + -2. What is the remainder when 6 is divided by r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 573, 712, 851, 990, 1129?\nAnswer: 1268","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the second derivative of 0*y**3 + 0 + 6*y + 1\/6*y**4 + 0*y**2. Let x(z) = -12*z. What is x(p(n))?\nAnswer: -24*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -22657*b. Let i(m) = 4*m**2. Calculate v(i(s)).\nAnswer: -90628*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = 10*y - 15*y. Let b(j) be the first derivative of j**4\/4 - 8*j**3\/3 + 5*j**2 - 5*j - 1. Let v be b(y). Is -17 >= v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -107352.6 to the nearest 100.\nAnswer: -107400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -418.5 - -418. What is the third smallest value in g, -22, -1?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -j + 2*n + 88, -3 = 12*n - 15*n. What is the least common multiple of j and 145?\nAnswer: 2610","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -3*k - 8. Solve 0 = -4*x - 0*x - 5*j - 25, -k*x - j = 5 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 1, j: 1, z: 6, o: 6, s: 3}. What is prob of sequence zsoo?\nAnswer: 9\/952","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 3, i: 3}. Give prob of picking 2 u.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8 and 4821?\nAnswer: 38568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 225\/105*-2 + (32\/14 - 2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 5*z - q + 5 = 0, -2*q = 3*z - 10. Suppose z = -t + 4*t. Suppose -3*s = -t*s - 159. Does 14 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -5 + 3 + 2*t - 11 + 134*t**2 + 4. Is i(5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -48896, -97728, -146542, -195338, -244116, -292876, -341618?\n\"Answer: 9*r**2 - 48859*r - 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 2 m when three letters picked without replacement from {l: 4, t: 1, m: 2, n: 8}.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = -s - 4*t, t - 20 = -3*s + 2*t for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -173 + 288. Suppose -m + b = 4*m. What are the prime factors of m?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 176 and 66.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -65 + 37. Let b = 31 + a. Find the second derivative of -2*h + 3*h**b - 4*h**3 + 5*h**5 + h**3 wrt h.\nAnswer: 100*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 159483?\nAnswer: 3, 53161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 38 and 78298.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -2*w**2 + 3*w**2 + w**2. Let j(i) = 1029*i**2 - 497*i**2 - 506*i**2 + 2*i. Give d(j(y)).\nAnswer: 1352*y**4 + 208*y**3 + 8*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10731, -21464, -32209, -42966?\nAnswer: -53735","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 459 * 54.\nAnswer: 24786","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 112 and 126.\nAnswer: 1008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 286862 to the power of 1\/2, to the nearest integer?\nAnswer: 536","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -107 + x**3 + 34 + 37 + 36 + 6*x**2 to v*x + z*x**2 + k*x**3 + c and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -9.605898 to three decimal places.\nAnswer: -9.606","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/2, -0.3, 573?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/11, 9, -16?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 4*v = 40. Let h(g) = -3*g - 2. Does 22 divide h(v)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -69\/4 and (-258)\/132 - 3\/(-1).\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 25 = 3*i, 0 = -5*i + o - 0*o + 55. Let g be ((-2)\/(-5))\/(-2) + 32\/i. Does 13 divide (2 - g)*-43 - (1 + -4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 72859630.\nAnswer: 2, 5, 23, 43, 53, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3*10\/5*2\/(-27).\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 0 + 51?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5431*m**2*v**2 - 5989*m**2*v - m*v**2 + 11*m + 70*v**2 + 114*v wrt v.\nAnswer: -10862*m**2 - 2*m + 140","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1 - -1)*10\/20. Suppose l = q - 0 - 3. Let d = 2 + -2. Solve d = 5*o + 12 + q for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d, 1 c, and 1 p when three letters picked without replacement from cpuukpuduk?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -50130306 times -13\nAnswer: 651693978","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 8061 + -8061. Solve c = 2*l + d - 4, 4*d = -0*d - 8 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1076\/(-807)*1*1*18.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(w\/w**(1\/11)))\/(w**(-9)\/w))\/(((w**(-1\/5)*w)\/w)\/((w*w**(-3\/4))\/w)) assuming w is positive.\nAnswer: w**(2099\/220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2032 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 410172 divided by -34181\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2565005 - -4?\nAnswer: 2565009","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 15 + 51 = 0. Let r be 78\/14 + g\/(-21). Suppose -r*v + 32 = 2. Does 4 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 17 + -39. Let r = c - -22. Solve -2*u + r*u = 10 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*r - 5180 + 2604 + 2576.\nAnswer: 13*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (18 + -6 - 2) + -4.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -57.954 - -58. Let n = 3.146 - l. Let k = n + -3.1000026. Round k to 6 decimal places.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 290?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -84*y + 230*y - 76*y = 75*y. Is y bigger than 4\/2417?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 7, u: 7}. What is prob of sequence uyy?\nAnswer: 7\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*r + 23*r - 20 = -4*x, 0 = -5*x + r + 11. Solve -v - v = -d - 3, 3*v - 12 = x*d for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 83 + -87. Let b(s) = -4 - 4*s**3 + 0*s + 3*s**3 + s**2 + s. Does 28 divide b(u)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*q + 3*q - 6*q + (-1 - 3 + 3)*(7*q - 4*q + 2*q) + 4 - 4 - q - 13 - 4*q + 13)*(22*q + 4*q - 12*q) to v*q**2 + z + d*q and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-6)\/(-24)*2\/12. Let z(o) be the second derivative of -1\/12*o**3 + 1\/2*o**2 - 2*o - n*o**4 + 0. What is c in z(c) = 0?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5444 - 4?\nAnswer: 5440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g**3 + 14*g**2 + 17. Let o(l) = 15*l**2 + 18. Give -3*o(q) + 2*z(q).\nAnswer: -2*q**3 - 17*q**2 - 20","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -34*b + 210. Let d = 592 - 587. Calculate the remainder when 319 is divided by q(d).\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 13 + 0 = -5*g, 2*k - 3*g - 1 = 0. Suppose 4*s = b + 1186, k*s - b = 4*b + 602. What is the units digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7775 - 7775 + 0*k**3 + 4*k**3.\nAnswer: 4*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 64\/(-6) + (-6)\/18. Let t = 6 + -8. Let d be 5*(1 + q)\/t. Solve p - d = -4*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.1 (b) 1\/3 (c) 110\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/268 at least -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 times 60\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -339996*o - 20. Let g be a(5). What is g rounded to the nearest one million?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4 + 6. Let g = -1.4 - 0. Let u = -1.4 - g. What is the nearest to u in 0.5, 3, s?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2998 and 13 + -8 - (3\/9 + 20\/(-6))?\nAnswer: 11992","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the third derivative of i**7\/42 + i**4\/12 + 2*i**2. What is the second derivative of s(w) wrt w?\nAnswer: 60*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 524*v + 2620. Let m be i(-5). Let u(s) = 2*s - 6. Let t be u(5). Suppose -3*n = -t*n - 5. What is the closest to 0 in m, -14, n?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -1213*l - 1296. Calculate w(-1).\nAnswer: -83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -46*c**2 - 78*c**2 + 133*c**2.\nAnswer: 9*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the first derivative of l**4\/4 + l**3 + 3*l - 10. Let h be i(-3). Solve -4*w = -h*u + 12 + 4, 0 = -5*w + 4*u - 21 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 23\/3 - (-56)\/42. Let m(w) = -6*w + 9. Calculate m(c).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00050494757 to 4 dps.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q**2\/2 + 998*q - 5997\/2 = 0. What is q?\nAnswer: -1999, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1262, -3350, -5440, -7532?\nAnswer: -9626","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -z**3 + z**2 + 8*z - 3. Let w be v(3). Let a be ((-3)\/2)\/(6\/(-16)). Solve -w*u = -5*h + 40, -h + 0*h + a*u + 25 = 0 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -11773\/2 or -5888?\nAnswer: -11773\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f = -u + 3, 4*u = 5*f - 1480646 + 1480633 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 79\/10 and ((-46)\/(-9) + -1)\/((-4620)\/(-198))?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12889 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*d = 10*d. Suppose l + 4 = 2*l, 2*b + 3*l - 122 = d. Round b to the nearest ten.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -6*(2 + 24\/(-9)). Let w be (z\/8)\/(2\/808). What is the units digit of (-1)\/(-6) + w\/12?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-45)\/54*-4*6\/16.\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -17820*d*i**2*r**2 - 538*d*i**2*r + i**2*r - 3779286*r**2 wrt d?\nAnswer: -17820*i**2*r**2 - 538*i**2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y**2 + 320*y + 17936 = 0. Calculate y.\nAnswer: -38, 118","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = 6 - 2. Find the second derivative of 6*y**4 - 14*y**4 + y**p - 4*y**4 + 11*y wrt y.\nAnswer: -132*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13*f**4 + 14*f**4 + 2 + 33*f**3 - 48*f**3)*(-3*f - 3*f - f).\nAnswer: -7*f**5 + 105*f**4 - 14*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/4, 0, 0.3, -3?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n - 94 = 1584*j - 1585*j, 0 = -j - j + 2*n - 42 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - w + 16 = 0, -y - 2*w = -1 + 5. Suppose -y*t + 22 = r, -1 = 3*r + 3*t - 22. What is the nearest to r in 0, -1\/3, -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m + 1. Let q be i(5). Let w(y) = y**2 - 2. Let o(k) = 4*k - 19. Calculate the remainder when w(q) is divided by o(7).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 73867?\nAnswer: 73867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5 + ((sqrt(126)\/sqrt(3))\/sqrt(7))\/sqrt(2))*4)**2.\nAnswer: 160*sqrt(3) + 448","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1766620733?\nAnswer: 1766620733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (18\/(-10))\/((-31)\/1085). Find the third derivative of 4*p**3 + h*p**3 + 50*p**3 + 14*p**3 + 61*p**2 wrt p.\nAnswer: 786","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 81 + -111. Let m be i\/20*6*-1. Solve m*k = 14*k + 20 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4056.4896 to one dp.\nAnswer: 4056.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11478063.\nAnswer: 3, 89, 42989","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 46*f - 13. Let d be t(5). Suppose 0 = o - 2*y - d, -y = 5*o - o - 877. What are the prime factors of o?\nAnswer: 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 528 divided by 4?\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*q**3 + 4115*q**2 - 4115*q**2.\nAnswer: -10*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/6063 and -41\/1365?\nAnswer: 2758665","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-61856 + 37647*q + 61856)*(-4*q + 2*q**2 + 4*q).\nAnswer: 75294*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 9.8978*-53\nAnswer: -524.5834","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the first derivative of f**4\/4 + 31*f**3 + 2883*f**2\/2 - 195*f + 55. Let v(w) be the first derivative of u(w). Factor v(y).\nAnswer: 3*(y + 31)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 11384 and 0.2.\nAnswer: 2276.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c\/((c**0*c)\/c)*c*c)\/(c\/(c\/(c*c**(-16)))))\/(c**8*c**(-2\/7)\/c*c) assuming c is positive.\nAnswer: c**(79\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 549.89 - 12.89. Let d = 537.0342 - a. Round d to two decimal places.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*k + 201 = -3*k + 3*w, -5*k - 4*w = -203. Let r(x) = 2*x**2 - 6*x + 5. Let q be r(5). Let y = k - q. Is 5 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -56490862*h**3*t**2 + 41*h**3*t + h**2*t - 527608*h**2 - t**3 wrt t.\nAnswer: -112981724*h**3 - 6*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 316216 + 24416\nAnswer: 340632","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -7*r**3\/5 + 527942634*r**2\/5 - 1990881620761632*r + 2844116557990688\/5.\nAnswer: -(r - 37710188)**2*(7*r - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 322839 to the nearest integer?\nAnswer: 568","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*b**3 + 21*b**3 - 8*b**3)*(b + 1 + b - 3*b).\nAnswer: -13*b**4 + 13*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10202, -20395, -30586, -40775, -50962, -61147?\nAnswer: -71330","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (140\/(-840))\/((-2)\/108)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -224*n. Let b(x) be the second derivative of x**4\/2 - 2*x + 17. Calculate b(i(z)).\nAnswer: 301056*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1214202?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 4*j**2. Suppose 4*k - 4 = 4*l, 2*k - 3 - 3 = 0. Let w(p) = -140*p + 140*p - 9*p**l. Calculate -14*m(s) - 6*w(s).\nAnswer: -2*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 255125909?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -77*w + 3*a + 293 = 0, -136221*a = -2*w - 136225*a + 28 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -57, -6.686, -2\/15, -3?\nAnswer: -6.686","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1661176 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: Evaluate (1\/(21 - 15))\/(1\/(-8)).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.951 - 0.95647. What is z rounded to 4 decimal places?\nAnswer: -0.0055","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 703316891 to the nearest integer?\nAnswer: 26520","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -32 + 2*d**2 + 32 - 10*d in the form q*d + a + c*d**2 and give q.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3 + 1032221?\nAnswer: 1032212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 11081840843 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3\/7, 0.2, 3, -138, -0.3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -9*n - 5. Let u(s) = -5*s - 2. Suppose 0 = 5*c - 10 + 35. Let x(a) = c*u(a) + 3*t(a). Let q be x(-4). Solve 4*l + 8*z = 3*z - 16, -q*z = 0 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -88 - -87.15. Let p = 0.65 + s. What is the third biggest value in 0.02, p, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 717244 and 506?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4 - 1. Suppose s + 22 = k*s. What is the least common multiple of s and 6?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5308734*o**3 + 7581656*o**2 wrt o?\nAnswer: 31852404","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8145 is divided by 81.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 67 + -39. Solve -4*f - 4*h = v, 0*f - 2*f - 24 = 4*h for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8728983?\nAnswer: 3, 23, 42169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1.2, -12, 5, 118.5, 0.1, -2\/5?\nAnswer: 118.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/507408 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 456 minutes before 4:19 AM?\nAnswer: 8:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z**2 - 9*z - 10. Let v be c(-7). Suppose -b + v*g + 18 = 0, 3*g - g = 5*b - 18. Solve -y + 2 = 2*j, 0*y = -b*j + 3*y + 10 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r**2 - 2. Let p(v) = -26*v + 22*v - 3*v**2 + 5*v - 4. Determine -5*f(t) + 2*p(t).\nAnswer: -t**2 + 2*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-70)\/20*8\/(-14). Solve -16 = -q*o - 2*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6248 and 561.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1*(2 - ((-30)\/9)\/(-2)). Which is the biggest value? (a) 4 (b) 0.4 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*k**2 - 113124*k + 2377368.\nAnswer: -4*(k - 21)*(k + 28302)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 + 8 + 8*x**3 - 11)*(-29*x - 24*x - 4*x)*(-7 - 6 - 1) to t*x**4 + j*x + n*x**3 + u + r*x**2 and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 14 = -3*p. Which is the third smallest value? (a) 0.2 (b) p (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -23731065, -23731081, -23731097, -23731113, -23731129?\n\"Answer: -16*b - 23731049","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1931976*h + 0 + 0 - 643919*h - 644035*h - 644025*h.\nAnswer: -3*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i, 1 z, and 1 c when three letters picked without replacement from {z: 2, i: 1, n: 1, c: 1}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 30 - (-1)\/((-3)\/9). Let q = -8 + v. Suppose -2*z = -z - q. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7 + (-2662)\/(-374) - (-198)\/51\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 277 (base 12) to base 7\nAnswer: 1051","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/9? (a) 0.5 (b) 5 (c) 3\/5 (d) 1.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/(-9))\/(-3*(-12)\/(-54)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 37*j**2 + j. Let l = -1 - -2. Calculate the remainder when i(l) is divided by 20.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.2 and -184446313981.7.\nAnswer: -184446313981.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -p**2 + 4*p**2 + 8*p - 10 + 6*p - 31*p + 16*p to x + r*p**2 + b*p and give x.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 55 (b) 0.07 (c) 5 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1377 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkkeeaekvkvekekkka. What is prob of picking 2 a?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -5*d**3 + 4*d**2 + 4*d + 1. Let o(w) = 4*w**3 - 3*w**2 - 3*w - 1. Calculate 3*g(y) + 4*o(y).\nAnswer: y**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1353, -2710, -4067, -5424, -6781?\nAnswer: -8138","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -77*n - 2503 - 77*n + 2503 - 72*n + 224*n.\nAnswer: -2*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0\/(1*-4*2\/(-4))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, c: 3, j: 6, p: 2, r: 3}. Give prob of picking 2 c.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 0*x - 3*x + 3*x - 11 + 5*x. Let f(s) = -4*s + 10. Let z(i) = 3*f(i) + 2*v(i). Let d = 27 - 16. Let u(n) = -4*n + 15. What is d*z(t) - 6*u(t)?\nAnswer: 2*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 161286 to the nearest integer?\nAnswer: 402","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c - 3*x = 2 + 5, -28 = -4*c - 4*x for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.31 + 2.69. Let n = 4254868 + -4254865.0000048. Let h = x - n. What is h rounded to six decimal places?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 326935415?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 660707828 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/3 - (-2)\/(-3). Suppose -4*o - 4*t = -32, 5*t - 2*t - 15 = 0. Suppose l = -f + 2 + o. Solve 7 = -f*g - 3 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the third derivative of c**8\/336 - c**6\/40 - c**3\/6 + 7*c**2. Let h(v) be the first derivative of j(v). What is the third derivative of h(u) wrt u?\nAnswer: 120*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.049? (a) 1 (b) -0.3 (c) -4\/7 (d) -15 (e) -4.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3\/9 + (-1)\/3. Let d(m) = m + 6. What is d(f)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*n = -14405 - 14963. What is the thousands digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = 8*q - 10*q + 5788, -5*s = 4*q - 7235. List the prime factors of s.\nAnswer: 1447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -138 + 22 = 28*s + 24. Let k = 0.2 + 0.8. What is the third biggest value in k, s, 5\/2, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -19*m**5 - 12*m**4 - 835*m**2?\nAnswer: -1140*m**2 - 288*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1696, -1782, -1868, -1954?\n\"Answer: -86*t - 1610","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (3\/3)\/((-1)\/(-11)). Suppose a*t = 4*t + 196. What is the tens digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 198 = 633. Suppose 0 = -0*k - k + 2*v + x, 2*v - 95 = -k. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.045, 0.03, 6416, 2\/5, 1\/9.\nAnswer: 0.03, 0.045, 1\/9, 2\/5, 6416","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 12234811 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Are -14 and 11185 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 44248?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 475736 is divided by 38?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -24 + 5537325?\nAnswer: 5537301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4079990637?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/((-6)\/3)*-5. Let g = -2 - v. Find the third derivative of -5*t + 3*t**2 + 4*t + t + g*t**4 wrt t.\nAnswer: 72*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/9? (a) -2 (b) -0.9 (c) -5 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (3\/(-2))\/((-108)\/1680) and -139\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 6*k - 17. Let j be y(5). Suppose 0 = 2*q - 49 - j. What is the tens digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 275999222 to the power of 1\/3, to the nearest integer?\nAnswer: 651","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 843210 and 288?\nAnswer: 13491360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -335615 times 274\nAnswer: -91958510","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1321 + -43588\/33. Let b = c + 7\/99. Let f(i) = 2*i**3 + 2*i**2 - i + 2. Let j be f(2). Sort j, -5, b in ascending order.\nAnswer: -5, b, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 15*s**2 - 4. Let b = 35 - 22. Let o = 2 - b. Let y(i) = 0*i**2 - 8*i**2 + 2 + 0*i**2. Give o*y(p) - 6*v(p).\nAnswer: -2*p**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4*(495\/(-22) + 16 - -14).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -21, -43, -65, -87, -109?\nAnswer: -131","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 52*g - 11. Calculate c(0).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a**3 - 67*a**2 + 5222. Is y(0) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.5 (b) 3 (c) 0.3 (d) -2\/5 (e) 11\/6 (f) -4\/7 (g) 0.5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v*v\/(v*(v\/(v\/(v**(-17\/4)*v)*v))\/v*v))\/(v*v\/(v**(1\/19)*v*v))*v**(-1\/28)\/v**(-5) assuming v is positive.\nAnswer: v**(2997\/266)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - -3 - (-174 - -182)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 84700 and 144650?\nAnswer: 550","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:50 PM and 3:28 PM?\nAnswer: 158","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = -2*d - 13, 0 = m - 5*m - 2*d + 8. Suppose 5*f - 61 - 25 = 3*z, -m*z = f - 10. Solve 0 = 4*q + 3*g - 19, 5*q + 3*g - f = 7 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 884 = 4*a + r, 5*a = 3*r + 1106. What is the units digit of a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -14? (a) -5\/14 (b) 0.2 (c) 0.08 (d) -9 (e) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the third derivative of -1\/12*q**5 + 1\/3*q**3 + 0*q - 4*q**2 + 0 + 1\/4*q**4 - 1\/120*q**6. Let y be a(-6). Which is greater: y or 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 8851, -5, 0, 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-5*sqrt(320)*-3*-2 - (3 + (-1*sqrt(320) - sqrt(320))*-2))**2.\nAnswer: 4896*sqrt(5) + 1109787","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 55 and 165?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 28657, 114712, 258137, 458932, 717097, 1032632?\nAnswer: 1405537","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 984 - 619.6. Let g = -384.51 + u. Let t = g - -20. Round t to 1 dp.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*j - 1 - 9. Suppose 0 = 4*h + 2*n - 82, 4*n + 54 = 3*h + 3*n. Calculate the remainder when h is divided by j.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/2 + 34\/4. Suppose 0 = -5*g - 5*h - 0*h + 165, -5*h = -4*g + 123. Suppose m = -j + g. What is the remainder when 47 is divided by j?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 47*w**2. Let d(p) = 192*p**2. Determine s(d(h)).\nAnswer: 1732608*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 77945 is divided by 77929.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 384030.1l?\nAnswer: 384030100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(48) - (sqrt(48) + sqrt(3072)*-2))\/(sqrt(12) + (sqrt(12) + sqrt(192))*5))\/(sqrt(72)*-4 + 2*sqrt(98)).\nAnswer: -4*sqrt(2)\/65","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 2, f: 5, q: 7}. What is prob of sequence gqg?\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h = 2*r - 4*r - 6, -2*h - 9 = 5*r for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 12*f - 74. Let u(i) = i + 5. What is -2*a(w) + 22*u(w)?\nAnswer: -2*w + 258","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1044884 and 388?\nAnswer: 388","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*g + 37 - 36 - 2*g - 7*g + 3*g.\nAnswer: -2*g + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23208393.\nAnswer: 3, 13, 595087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 576 - 305. What is the common denominator of -7\/144 and (-28)\/98 + b\/140?\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 10 (b) -3 (c) 1\/235949\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 2 q when three letters picked without replacement from vmqqvm?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 153 + 165 = 0. Solve -15 = l*p - 3 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2 or 293\/120?\nAnswer: 293\/120","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*u**3 - 162*u**2 + 1857*u - 4032.\nAnswer: -3*(u - 7)*(u - 3)*(u + 64)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*h + 12 = 22*h. Let x(a) = -3*a**2 + 4*a**h - 4*a**2 + 6*a**2. Let c(f) = -5*f - 11*f + f. Calculate c(x(b)).\nAnswer: -45*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 14 + 35 = 0. Let x = 12 - t. What is the common denominator of 2754\/(-480) + (-1)\/x and 25\/18?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 432 minutes before 11:37 AM?\nAnswer: 4:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 minus -0.5438952?\nAnswer: 0.7438952","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 800849519 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -83240 and -16?\nAnswer: 1331840","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -132*x = -166*x + 4*d - 106, -2*x = -2*d + 8 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l\/l**(-1)*l**(-4)*(l**(2\/3))**(-18) assuming l is positive.\nAnswer: l**(-14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*o + 22 + 20 = 0. Let d = 8 - 3. Sort -2, d, o in increasing order.\nAnswer: -2, o, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**2\/15 + 14392*v\/15 - 37622.\nAnswer: 2*(v - 39)*(v + 7235)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 89, -133, -981, -2767, -5803?\nAnswer: -10401","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*j**2 - 2*j**2 - 2*j**2)*(-6 - 8*j + 6 - 2*j - 3*j + 4*j + (j - 2*j + 0*j)*(-2 + 3 - 3)).\nAnswer: 7*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6118668*r**6 - 13660*r**2 + r + 83.\nAnswer: -734240160*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2 + 1)*(-4 - -5). Suppose w*l + 342 = 102. Is -80 < l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**8)**(7\/8) assuming l is positive.\nAnswer: l**7","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (sqrt(1700) - (sqrt(1700) + sqrt(1700) + -1*sqrt(1700))*5))**2 - (sqrt(1088) + -1 + sqrt(1088) + 1 + (sqrt(1088) + 1)*-4)**2.\nAnswer: -368*sqrt(17) + 22841","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -30 (base 5) to base 6\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -13 - -21. Suppose 5*i - 20 = 0, -5*b - i - w = -2*b. Let x = -1 - -2. Sort b, x, -1 in increasing order.\nAnswer: b, -1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -64 + 58. Does 24 divide (-879)\/x + 2\/(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 49 - 45 = 0. Let m be 1 - (0 + 1*-2). Suppose 3*d - 11 + 33 = 5*s, -5*s - 3*d - 2 = 0. Solve m = -s*h + w for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 421*u**2 - 7*u + 414*u**2 - 848*u**2 + (-3*u - 2*u + 4*u)*(0*u - 3*u + 5*u).\nAnswer: -15*u**2 - 7*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7)\/(-28)*(-13 - -8).\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = 251 - 64. Let h = -124 - k. Is h a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t - 1. Suppose -4*i = -3*i. Suppose i = -3*s - 2*s. Give g(s).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 11*t**3 + 96*t**2 - 32*t - 46. What is k(-9)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -313423312 + 4?\nAnswer: -313423303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one halves of a litre in millilitres?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 51 - 46. Suppose 3*m - 2*r = -m - 10, m + v*r + 8 = 0. Let u be 101*(4 + m) - 1. What is the highest common factor of u and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = k**3 - 5*k**2 - 5*k - 5. Let q be f(6). Let c = q + 14. Suppose -c = -7*u + 2*u. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 622?\nAnswer: 2, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(-2)*4\/(-48)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -406 + 5?\nAnswer: -401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/21 of a week in hours?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (30\/(-10))\/(1\/1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7496.88*3.3.\nAnswer: -24739.704","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 95 - 117 = 22*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.17 + 0.01. Let o = f + -0.180006. What is o rounded to 5 decimal places?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -20 (b) 116440 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o**3 - 6*o**2 - 6*o + 6. What is the remainder when 63 is divided by k(-5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 12.5 + 11.9. Let j = 24.3 - p. Let b = -7 + 4. What is the second biggest value in -2\/15, j, b?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.55751cm to meters.\nAnswer: 0.0955751","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence re when two letters picked without replacement from {r: 13, e: 1, p: 3}?\nAnswer: 13\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = -3*w, -40 + 16 = -4*x - 2*w. Suppose -72 = -7*a + 3*a. Suppose -x*l = -l - a. What is the remainder when 9 is divided by l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n - 8 = -0 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -8*w + 19. Suppose q + 5*m = 18, 5*q + w*m - 6 = 6*m. Solve -22*a**q - 5*a + 6*a**2 - 2*a**2 + 21*a**3 + 2*a**2 = 0 for a.\nAnswer: 0, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8249069 and 31.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -182\/5 in -33, -2.5, 1, 0.12?\nAnswer: -33","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 419874 and 60.\nAnswer: 4198740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9*80\/88 + 8\/(-1).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = -0*l - 3*l - 30, -4 = l. What is the remainder when 14 is divided by j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 190?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = -5*f - 205, -3*s - 4*f - 179 = -56. Let g = s - -762. List the prime factors of g.\nAnswer: 7, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 12*k - 4. Let u be v(5). Let g be 2*1*(-49)\/(-2). Suppose -5*a + g = -21. What is the greatest common factor of a and u?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dmmdcr. What is prob of picking 2 d and 1 m?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 85*p*t**2 + 357*p*t wrt t?\nAnswer: 170*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = k. Let b be f(4). Suppose -4*z = 4*l - b, -l = 4*z + 7 + 1. Find the third derivative of -v**l + 5*v**4 + 5*v**2 - v**4 wrt v.\nAnswer: 72*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6, 3, -8, -33, -78, -149?\nAnswer: -252","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, n: 11, v: 6}. Give prob of picking 2 n.\nAnswer: 55\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 520 minutes before 4:29 PM?\nAnswer: 7:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -78 = 4*s - 74 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.1 (b) 4 (c) -65\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 16*c*f*r**2 - 38*c*f + 3*c*r**2 - 4*c*r + 3670*f*r**2 - 3*f*r - 10*r**2 - 862*r wrt r.\nAnswer: 32*c*f + 6*c + 7340*f - 20","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 3413482710?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4.712 - -4.612. Sort r, 2\/11, -1 in descending order.\nAnswer: 2\/11, r, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -142 in 0.02, -38, 66?\nAnswer: -38","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 118, 36, -48, -134?\nAnswer: -222","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 38*t + 28. Let d be c(-5). Let o be (-58)\/6 + (-1)\/3. Let s be d\/(-39) + o\/65. Solve 2*p = -s*j - 10, -4*j + j - p - 10 = 0 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-14)\/105)\/(15\/25*-2)\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 869474 is divided by 4701.\nAnswer: 4490","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 782.\nAnswer: 2, 17, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1572026 and 3818.\nAnswer: 1575844","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -6289 - -4?\nAnswer: -6285","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*r**6*t - 748*r**4 - 4683*r**2 - 2*r*t wrt r?\nAnswer: 480*r**3*t - 17952*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, x: 4, q: 1, p: 10, r: 3}. Give prob of sequence hp.\nAnswer: 5\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is h in 2*h**3\/5 - 28*h**2\/5 - 62*h\/5 - 32\/5 = 0?\nAnswer: -1, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -143442 to the nearest one hundred thousand.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 18395 and 195.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 12 in -4, 1\/2, -0.4, 0.03?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -101903580 by -25475895.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-2)\/5)\/((-510)\/1516825). Let u = f - 1213. What is the common denominator of (-6)\/(-21)*13\/(-6) and u?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -18 + 0. Let y be m - -14 - ((-3)\/1 - 3). Let n = 4 + -1. Put 5, n, 4, y in descending order.\nAnswer: 5, 4, n, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**2\/8 - 1267*f + 30399\/8.\nAnswer: (f - 10133)*(f - 3)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2*(-3)\/(-6)*-1. Which is smaller: -4\/9 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/7, 0.38, -7, -3, 2, -4 in ascending order.\nAnswer: -7, -4, -3, 2\/7, 0.38, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 438 - 426 = 6*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + f = -105, 3*d + 2*f - 225 = -57. Find the third derivative of -2*c**5 + d*c**6 + 0*c**5 - 37*c**2 + 106*c**3 - 106*c**3 wrt c.\nAnswer: 6480*c**3 - 120*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -5*n**3 + 3*n**2 - 15. Let l(o) = -6*o**3 + 2*o**2 - o - 16. Let w(q) = -4*l(q) + 5*t(q). Calculate the common denominator of -26\/3 and w(8).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*v + 496 = -74. Suppose 0 = b - 57 - v. Is b a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 817672 and 716?\nAnswer: 716","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*z**3\/3 + 16*z**2\/3 + 2*z\/3 - 16\/3.\nAnswer: -2*(z - 8)*(z - 1)*(z + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 315469, 630957, 946447, 1261939, 1577433?\nAnswer: 1892929","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 5 - ((-2)\/7 - (-1668)\/(-42)). Let q be v\/(-18) + (-395405)\/(-2). What is q rounded to the nearest ten thousand?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5 + -5. Let r = k + 0. Let v = r - 2. Is -1 greater than v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 144127.001 + -144315. Let l = 188 + w. What is l rounded to 3 decimal places?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.5, -16, 309, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5447868 and 33.\nAnswer: 59926548","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5502 and 4716?\nAnswer: 33012","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 54249149?\nAnswer: 89, 609541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.36 - -0.04. Let w = -6.97 - -7. Let z = w + -0.03. What is the third biggest value in z, -0.1, v?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 61260841?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (60 + -57 + 0 + 9 - 15) + -11.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-6)\/4*(-88)\/33. Let w(f) be the first derivative of f**3\/2 - 2*f**2 + 3*f - 1. Let a(z) be the first derivative of w(z). What is a(l)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/200 and -51\/10.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = 7*j - 38. Suppose -2*s - 7 = 5*o + j, 4*s - 5*o - 10 = 0. Which is the nearest to s? (a) -0.01 (b) -1\/2 (c) 2\/5 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 90 and 46953?\nAnswer: 469530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -114 (b) -5 (c) 5 (d) 2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 111 - -12201212121222?\nAnswer: 12201212122110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3)*-1*-1 - sqrt(24)\/(sqrt(8) + sqrt(32)))*-4.\nAnswer: -8*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1089 - (-1)\/(7\/35) a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 35*z**2 + 40*z + 244. Is w(35) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 2*z**2 + 8*z + 12. Let f be y(-3). Which is the closest to f? (a) -3\/5 (b) 2\/9 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-4635)\/515)\/((-13)\/(208\/13032))\nAnswer: 2\/181","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 2013529173?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 12130, 12133, 12136, 12139, 12142, 12145?\nAnswer: 12148","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that z**3\/5 + 362*z**2\/5 - 33213*z\/5 + 6570 = 0.\nAnswer: -438, 1, 75","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 73*j - 65*j + 0*j**2 + 3*j**2 - 10 - 4*j**2. Let m be f(5). Let q = -18 + 36. Solve -3 = -m*g - q for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/192 <= -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -2*m**2. Let q(w) = -219*w + 1. What is q(u(p))?\nAnswer: 438*p**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100101110100 - -1?\nAnswer: 100101110101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 9637 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 456*m - 817*m + 0 + 0 = -488*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = -3*k - 12, 4*k + 3*f - 1 = -15. Let u = -2 - k. Solve u*r + 6 = -2*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + a + 243 + 105 = 0, -4*s - 5*a - 702 = 0. Let y = 240 + s. What is the tens digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nnee when four letters picked without replacement from {e: 2, n: 6}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/2 of a day in hours?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the second derivative of -t**6\/80 + 3*t**5\/40 - 5*t**4\/32 + t**3\/8 + 24*t. Factor b(c).\nAnswer: -3*c*(c - 2)*(c - 1)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 9.34172km?\nAnswer: 934172","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43*j + 48*j + 1502 = 1229 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 517 + 6076 = 835*x - 29747 - 22110 for x.\nAnswer: 70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -52 or -1011\/19?\nAnswer: -52","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**1\/h)**(-43)*h**4*h*h*h\/(h\/h**0) assuming h is positive.\nAnswer: h**(-37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tf when two letters picked without replacement from {n: 4, t: 8, s: 2, f: 5}?\nAnswer: 20\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 19491?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve k**4 - 25929*k**3 + 224104347*k**2 - 645644623707*k = 0 for k.\nAnswer: 0, 8643","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = -2*l + 8. Let t(y) = 5*y**3 - 2*y**3 + l*y**2 - 4*y**3. Let b be t(2). What is b rounded to five decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13710 (base 11) to base 9.\nAnswer: 28657","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3 - 4. Let a be 1 + ((-1)\/1 - o). Let n = a + 2. What is the units digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j**2 - j + 2. Let x be c(0). Suppose 0 = -5*t - x*a + 93 + 104, 0 = t - 3*a - 36. Let d = 17 - 3. What is the remainder when t is divided by d?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -5*z + 6*z. Let k(p) = 0*p**2 + 4*p**z + p**2 + p**2 + 5*p. Is k(-3) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*s**2 + 37 - 22 - 15 - 87*s**2.\nAnswer: -113*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 4, h: 1, v: 2}. What is prob of sequence dhd?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nnnd when four letters picked without replacement from nddddddnsdsn.\nAnswer: 7\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 34 and 8*((-1 + 2)*21 + (-79 - -75)).\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 14 and -1.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*(sqrt(40) + sqrt(40) + sqrt(40)*4*4))\/(sqrt(200) - (sqrt(200) - 2*(sqrt(200) - -1*sqrt(200))))*1)**2.\nAnswer: 729\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -2522, 1, -4, -1.\nAnswer: -2522, -5, -4, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -12.88 + 1.58. Let h = i + 11.2. What is the nearest to -0.1 in 2\/5, 4\/5, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2, 0.09, -19, 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v**2 - 6*v - 8. Let m be w(7). Calculate the remainder when 57 is divided by (-1 + 18 - m) + -3.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -110242324 (base 5) to base 14\nAnswer: -c61d5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 59872 is divided by 1070.\nAnswer: 1022","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1000) - (sqrt(1000) - (sqrt(1000) + sqrt(1000)*-2))*6 - (sqrt(1000) + -2*sqrt(1000)*-4))\/(-5*(sqrt(180)*-2)\/sqrt(10)).\nAnswer: -20*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h**3 - 18*h**2 + 2*h + 16. Let b be u(-18). Is (2 - b\/(-4)) + 68*8 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - a = -72, -34 + 106 = 3*r - 4*a. Suppose r = 3*l - 18. Calculate the lowest common multiple of 16 and l.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the third derivative of c**5\/60 + c**4\/24 - c**3\/3 - 3*c**2. Suppose -2*g - 2*g = 0. Let h be o(g). Sort h, -5, 4.\nAnswer: -5, h, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -24? (a) 0.4 (b) -1691 (c) -38\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 45 and 18?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/(-9)*(4\/(-8) - 40\/(-16))?\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -0.07, -5, -0.4, -6?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11 + 33*z**2 - 1 - 35*z**2.\nAnswer: -2*z**2 + 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the first derivative of -n**4 - n**3\/3 + 3*n**2\/2 + 2*n - 58. Let w be u(-1). Solve 11 = 4*s - 2*i + 1, -w*i = s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 38 + -3. Let l = n - 24. What is the least common multiple of 6 and l?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -69*r - 12126 = -116*r. What is the remainder when r is divided by 67?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, -24, -9, 23, -2\/17 in decreasing order.\nAnswer: 23, 0.1, -2\/17, -9, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1715 is divided by 133.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1672 is divided by 13.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.42196 at least as big as -6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-5\/9)\/k)\/k**34 assuming k is positive.\nAnswer: k**(-320\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than or equal to -2\/122538443?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1226 - 435. Is p a multiple of 49?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 + 4 - 4 + 6)*(2*t**4 + 1 - 1 + (0*t**3 - t**3 - t**3)*(1 - 1 + 2*t) - 6*t**4 + 51*t - 51*t).\nAnswer: -104*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uprpxpl. What is prob of sequence rl?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -7 - 4*(-1)\/(-12)*-3. Let o(g) = -g**3 - 5*g**2 + 3*g - 12. Let z be o(v). Calculate the remainder when (-280)\/(-6) - ((-32)\/z)\/(-8) is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 3*b - 5*o - 16, 4*b + 4*o - 12 = 0. Suppose 3*h = b*h + r - 26, 65 = 5*h - 5*r. Calculate the highest common divisor of h and 117.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = 2*b + 5*z - 14, -3*z = 12. Let f = -10 - b. List the prime factors of f.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3020401087?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 171 + 3?\nAnswer: 174","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 129 + -66. Let t = 1 - 1. Suppose -84 = -2*j - t*j. Calculate the highest common factor of j and w.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 854520?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -543064811*g**2 - g - 670159200.\nAnswer: -1086129622","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 694 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that 3*b**4\/4 + 16029*b**3\/2 + 85482507*b**2\/4 - 214307730*b + 536270700 = 0.\nAnswer: -5348, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-42)\/(-6) - -6 - (-128)\/(-10). Put 491, -5, 0.06, g in increasing order.\nAnswer: -5, 0.06, g, 491","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a factor of 301?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 441614.\nAnswer: 2, 220807","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 948 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*d + 3*d - 135. What is the tens digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1910901015?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -70 - -79. Let t be (g\/((-27)\/42))\/(-2). Let p(n) = 63*n - 22. Is p(t) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert a1b46 (base 12) to base 9.\nAnswer: 351050","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4433?\nAnswer: 11, 13, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 31 + 32. Let c(j) = 53*j + 3696. Let p be c(-63). What is the highest common divisor of p and r?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 570 + -578. Calculate the common denominator of 7 + i\/48*15 and (-2)\/21*(-558)\/(-8).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 44 or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 194437 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -19927*n**5 - 16*n**2 - 227.\nAnswer: -1195620*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 740404527?\nAnswer: 3, 31, 41, 194179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-1)\/2)\/((-1)\/10). Let o(p) = -7*p**3 + 6*p**2 + 2*p - 13. Let f(v) = 4*v**3 - 3*v**2 - v + 7. Let k(j) = y*f(j) + 3*o(j). Determine k(3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-220*y + 107*y + 115*y - 456)*(-y**3 - 4*y**3 - 2*y**3).\nAnswer: -14*y**4 + 3192*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(880) - sqrt(880))\/(sqrt(11) - ((sqrt(11) - 2*sqrt(11))*1 + sqrt(11))).\nAnswer: 8*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = -16*i + 23*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3.4 + -3. Let d = 22 - 17. Which is the closest to -0.1? (a) g (b) 0 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4118 + 27270?\nAnswer: 23151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 17112 and 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*a = 2330 + 1550. Suppose -3*p - 22 = -a. What is the units digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*u, -4*i + 2*u = -5 - 7. Suppose o + 33 = -i*l, 2*o + 37 = -2*l - 17. Let m = o + 43. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10785578 is divided by 27?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -2, 1, -690, 4, -15 in decreasing order.\nAnswer: 5, 4, 1, -2, -15, -690","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -21 and 148083?\nAnswer: -3109743","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 10 - 2. Let d = 13 - c. Suppose -3*p - d*n = -30, 4*p - n = p + 12. List the prime factors of p.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10275, 20552, 30829, 41106, 51383?\nAnswer: 61660","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 32*f**5 - f**2 + 11*f + 42*f**5 - 48*f**6 - 74*f**5 wrt f?\nAnswer: -5760*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -15553 times 0.056\nAnswer: -870.968","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-35)\/36*(-8728)\/7637?\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8898439 millilitres in litres?\nAnswer: 0.0008898439","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 879 - 81. Let f = -796 + l. Factor -9\/5*g**f + 0 + 0*g**3 + 6\/5*g + 3\/5*g**4.\nAnswer: 3*g*(g - 1)**2*(g + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 226.106 rounded to the nearest integer?\nAnswer: 226","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1260.8 + -13604.2. Let z = -14865.59985 - n. Let g = z + 0.6. What is g rounded to 4 decimal places?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -2*g + 30. Let u be a(18). Let o = 7 + u. Let m be ((-7)\/((-21)\/270))\/o. Calculate the greatest common divisor of 10 and m.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 1 + 5)*(26*g**2 - 7075*g**4 - 26*g**2 - 2085*g**4).\nAnswer: -18320*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = d - 3*a - 44, -a = 2*d + 4*a - 66. What is the greatest common factor of d and 76?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46 = 8*x + 70 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(((d\/(d*d**(-1\/3))*d)\/d)\/d)*d\/(d\/d**(7\/6)))\/(d\/d**(-2\/25)*(d\/(d\/(d\/(d\/((d*d*(d\/(d**(3\/5)\/d)*d)\/d*d)\/d)))))\/d) assuming d is positive.\nAnswer: d**(-97\/150)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(84)\/(sqrt(108)\/(sqrt(27)\/sqrt(3))).\nAnswer: sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-5 - (-418)\/95) + -28*1\/(-5). Solve 66 = g*a + 46 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 60.77380366 to 3 dps.\nAnswer: 60.774","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:54 PM and 10:53 PM?\nAnswer: 599","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5188786?\nAnswer: 2, 19, 136547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 18480 and 15?\nAnswer: 18480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 4*m - 19. Suppose -5*r = -z + 10, -4*z - 7 = -2*r - 47. Is b(z) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h**5 + 267*h**4 - 1032*h**3 + 1020*h**2 = 0. What is h?\nAnswer: 0, 2, 85","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/5 + 82\/28. Let w = 24\/7 - q. Which is the smallest value? (a) w (b) -4\/5 (c) -2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9 + -11. What are the prime factors of (2 + -3)\/(g\/30)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-14)\/6*26\/(-2093). Let k = b + -152\/483. Is k > 4\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.128 (b) -0.3 (c) 21 (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-26)\/4 - 6\/(-4). Let r = s - -9. Let z(p) = 2*p. Let k be z(r). Solve b + b = k for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4584 (b) -26 (c) -5 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(4752) - sqrt(4752)*3 - (sqrt(33) - sqrt(165)\/sqrt(5))*-1)\/(sqrt(27)\/sqrt(324) - sqrt(12)\/sqrt(64)).\nAnswer: 288*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-212)\/(-106) + 405\/(-175) + (-3)\/(-5). Which is the biggest value? (a) -2\/9 (b) m (c) 51 (d) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) 216 (b) -3\/8 (c) -2 (d) 2\/25\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 778934 is divided by 51927?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (527 - (-1 + -1)) + 0\/(-3).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 2*p = 14, 0 = 97*k - 101*k + 2*p - 4. Which is the closest to 2\/33? (a) -4 (b) 2 (c) -1\/2 (d) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -12, -0.3, -1357?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 3363165 (base 8) to base 12\nAnswer: 37b219","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20247782.\nAnswer: 2, 17, 595523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 26451?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 37592263 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -3b (base 16) in base 14?\nAnswer: -43","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -2 + sqrt(80) + 2 + 5 + -4*(3 + -1 + sqrt(80) - sqrt(80))**2.\nAnswer: -8 + 4*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:17 AM and 7:51 AM?\nAnswer: 454","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5834435.\nAnswer: 5, 103, 11329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 5*f = -24, -w = w - 2*f - 16. Suppose w*r + m = 23, -r + 3 = -m - 4. Let g be r\/21 + 5\/7. Let y(t) = 9*t**3 + t. What is y(g)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 787 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 v be (-93)\/18 - (-14)\/84. Let m(u) = -3*u + 4. Let l(z) = -4 - 4 + 4*z + 2. Determine v*l(k) - 7*m(k).\nAnswer: k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 0.202.\nAnswer: 2.202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2 - 2)*3\/(-12). What is the common denominator of 192\/28 + y*-1 and (-713)\/(-90) - (-6)\/(-27)?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 + 6 + -3 - -2 - 11\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q**3 + 11*q**2 + 25*q + 13. Give s(-8).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-2\/7))**(13\/3)\/(x**(-4)\/x**(-2\/5))*x*(x**(5\/4)\/x)\/x*x\/(x*x**(-2\/3)*x)*(x**(1\/5)*x)\/x*x**(-1\/2)*x assuming x is positive.\nAnswer: x**(417\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -302\/3, -4\/21, -13?\nAnswer: -4\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 2, b: 4, r: 2, a: 4, u: 4, j: 4}. Give prob of picking 1 o and 1 r.\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xccxxobxoo. Give prob of sequence xoc.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y + 6. Let c(v) = 3. Let w(i) = -5*c(i) + 2*o(i). Let g be 18*2*(-712)\/4272. Let h(n) = 7*n - 11. Determine g*h(j) + 22*w(j).\nAnswer: 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*i**4*r - 4*i**4 + 33134*i**3 + 7952968*i**2*r wrt i.\nAnswer: -48*i*r - 96*i + 198804","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a gram in milligrams?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5a52 - 16?\nAnswer: 5a37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(147) - ((sqrt(147) - (-2*sqrt(147) - sqrt(147))) + sqrt(147)))**2 - -2*sqrt(12).\nAnswer: 4*sqrt(3) + 2352","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 8, r: 3}. Give prob of sequence wr.\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2 and 19985526?\nAnswer: 19985526","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 204750409 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 1.6, -0.1, -8\/21, 0 in decreasing order.\nAnswer: 1.6, 0, -0.1, -8\/21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 27 - 63. Let m = 32 + c. Let o be -1 - -3 - m\/(-2). Solve -s + 3*u + 7 = 0, -3*u = -o*u + 3 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1137247447 to the power of 1\/6, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -8, 0.1, -3, 356.839?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10000110 (base 2) to base 11.\nAnswer: -112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 198 = -11*i + 13*i. Let r be i\/(-216)*-6 - (-2)\/8. Solve 5*k + s = r*s + 35, 2*k = 4*s + 30 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -33\/94 and 107\/112.\nAnswer: 5264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:26 PM and 7:36 AM?\nAnswer: 490","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -20 + 10 + 11 - 25*j + 2*j - 3*j - 3*j + (2 - 3 + 2)*(2 + j - 2).\nAnswer: -28*j + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = -2*i - 6, 2*i + 2*i = -12. Suppose -w = -a*w + 3*j - 11, 22 = 2*w - 2*j. Suppose w + 93 = 4*r. What are the prime factors of r?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44100001 = -3*x + y, -2*y - 58799998 = 4*x - 0*y. What is x rounded to the nearest one million?\nAnswer: -15000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3 - -2. Let v(l) = 8*l**2 + 5*l - 5. Let t(n) be the second derivative of -19*n + 0 + 1\/12*n**4 - 1\/2*n**2 + 1\/6*n**3. What is c*v(w) + 5*t(w)?\nAnswer: -3*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 14433?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1062 divided by -6.\nAnswer: -177","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the second derivative of -2*f**3\/3 - 5*f**2\/2 - 13*f + 1. Let j(h) = 2*h. Determine y(j(l)).\nAnswer: -8*l - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 691 minutes after 3:48 PM?\nAnswer: 3:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 49*-0.2629066.\nAnswer: -12.8824234","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/4? (a) -11 (b) -66 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -6*h - 44. Let q be u(-8). Let a be (10 + 4 - q) + 4. Does 8 divide 14 + -9 + 1*a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 27335.326 + -27321.326009. Let g = z + -14. Round g to six decimal places.\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13 + 14 + 9*r**2 - 62*r**2 + 5*r**2.\nAnswer: -48*r**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -2*t**3 + 62*t**2 + 62*t + 36. Let u be k(34). Let f = u - -47841\/10. Let p = 557 - 23309\/42. What is the common denominator of f and p?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2071 a factor of 1367865415?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 9949 + -6?\nAnswer: 9943","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 2 = -10. What are the prime factors of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 79 divided by 313629\nAnswer: 79\/313629","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19 - (-10 - (-10 + -9 + 3)).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -5*g**3 + 9*g**2 + 5*g - 1. Let a(p) = -p**3 + 2*p**2 + p. What is 18*a(m) - 4*h(m)?\nAnswer: 2*m**3 - 2*m + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4064305 to the nearest integer?\nAnswer: 160","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(36) + sqrt(576)*-6)\/(sqrt(12)\/sqrt(4)*2))**2.\nAnswer: 1587","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*t**4 - 4*t**4 + t**4 - 2*t**4 + 3*t**4 + 0*t**4 + (-6 + 6 + 6*t)*(-56*t**3 + 46 - 46) as c*t**4 + l*t**3 + x*t + m + k*t**2 and give c.\nAnswer: -336","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ktttdtdtfdcfttmdctdd. What is prob of sequence mf?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3 - (-5)\/2)\/((-2)\/4). Let v = 0.009 - -2.291. Let j = -0.3 + v. Which is the closest to q? (a) j (b) -0.2 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 4156?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1220 - 11212?\nAnswer: -20202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = -2*z + 5*a, -21*a + 24*a - 5 = 2*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.082 + -0.205. Let f = j - -0.093. Sort -4\/5, -17\/5, f.\nAnswer: -17\/5, -4\/5, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 638392?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**1\/(h*((h*h**(-3))\/h)\/h))**46*h**(12\/11)*h\/((h*h*h\/h**2)\/h)*h**(-2\/15)*h assuming h is positive.\nAnswer: h**(30848\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Let i = -63\/8 - -205\/24. Solve -i*z**4 + 2*z**3 + 0 + 2\/3*z**2 - 2*z = 0 for z.\nAnswer: -1, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vrvccrccccrvvrcrrccc. Give prob of sequence rcvr.\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 - (-4 - -16 - (26 + 3) - 2).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 2, i: 1, f: 1}. What is prob of sequence fm?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 5*w + 18 = 3*w, 0 = g + w - 12. Let l = -11 + g. What is the second smallest value in l, -1\/4, 5?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 200 divide 7068972?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 2 - 176\nAnswer: -174","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 1, b: 10, k: 4, l: 3}. Give prob of sequence lbk.\nAnswer: 5\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -7\/2915?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 416.86239*-11.\nAnswer: -4585.48629","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 12*i + 157. Let v be x(-14). Is 39680\/6 + v\/33 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 21232 + -21229. Put 7, 2594, f in increasing order.\nAnswer: f, 7, 2594","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6677 (base 14) to base 7.\nAnswer: 102510","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 441 and 22197?\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1044*n + 1282156 = 1173580 for n.\nAnswer: -104","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(8)\/(sqrt(44)\/(sqrt(55)\/sqrt(5)))*-4*2)**2.\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -16066315 (base 7) to base 12\nAnswer: -626864","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5593289 and 221?\nAnswer: 221","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 763314*p + 5343251. Give s(-7).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 138 = -u, q + 563 = -u - 3*u. Let i = 147 + u. Sort 0, i, -13\/4, -3\/7 in decreasing order.\nAnswer: i, 0, -3\/7, -13\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(114)\/sqrt(6)*-1 - sqrt(152)\/sqrt(2) - (1 + (sqrt(1539) - -3*sqrt(1539)*-2))**2).\nAnswer: -38471 + 87*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence biv when three letters picked without replacement from {v: 2, r: 6, b: 2, i: 3}.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 74 - 71. Which is smaller: p or 4?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o**3 + 8*o**2 - 3*o - 8. Let h be g(6). Let i be (1 + -1)*-1*1. Suppose 0*b + 2*b - u - h = i, b + u = 29. What is the units digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 43260 and 321360.\nAnswer: 2249520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b = 5*a - 16, 2*b = -26*a + 29*a - 16 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w and 1 x when three letters picked without replacement from xewwewxxww?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -10.149 + 10.249. Which is the fourth smallest value? (a) g (b) -2\/13 (c) -5 (d) 1.011\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -2*q**2 + 29*q + 69. Is 6 a factor of t(15)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 116 and 58?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + q = 105, 2*q + 33 - 123 = 4*m. What is the units digit of (-1)\/5 + (-1 - 2444\/m)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (14\/(-77))\/((4\/(-22))\/2). Let f = -1193\/1580 + 2\/395. Sort f, q, 1, -0.05 in descending order.\nAnswer: q, 1, -0.05, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 60279?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55*b + 897 - 127 = 0 for b.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/4 of a century in years?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 79 a factor of 5869 + ((-420)\/(-7))\/15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 518 or 515?\nAnswer: 515","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 921288 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: What is 0.005346 rounded to 4 decimal places?\nAnswer: 0.0053","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10*(-24)\/(-600)*350)\/(-5).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -130, -128, -140, -172, -230, -320, -448, -620?\nAnswer: -842","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -415416 or -1026?\nAnswer: -1026","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.355 + -0.055. Which is the second smallest value? (a) -4 (b) -31 (c) 1 (d) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 23108?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen quarters of a microsecond in nanoseconds?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -6979 at least as big as -7139?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.1 or -40647397?\nAnswer: -40647397","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*l + 1 = -16*l - 5*t, -7*t = 5*l + 2 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 11301010031 (base 4) to base 7\nAnswer: 15564161","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -1283, 0.5, 4\/3 in descending order.\nAnswer: 4\/3, 0.5, -5, -1283","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3017, -3418, -3947, -4598, -5365, -6242, -7223?\nAnswer: -8302","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 15, 2, -4, 128, -28 in decreasing order.\nAnswer: 128, 15, 5, 2, -4, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2084\/5, -2\/9, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -21*w + 44. Let d be r(11). Let j = d + 209. Calculate the highest common divisor of j and 55.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 13539.627 and -33.1.\nAnswer: 13506.527","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5 - -8. Let b(s) be the third derivative of s**5\/30 - s**4\/6 - s**3\/6 + s**2. What are the prime factors of b(t)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (0 - (-2 - -3)) + (-164)\/(-415). Let y = g - -2\/415. Which is the biggest value? (a) 0 (b) y (c) 5 (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 12*v + 21 = 7*v, 5*v + 45 = 5*j. Solve -j = 4*s - 3*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 9 = 0, -2*r - 20 = 4*j - 6. Let d(v) = 28*v**2 + 2*v + 2. Let z be d(r). Let m = 39 + z. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 divided by -159.\nAnswer: -3\/53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15 - 17 - 85052*l - 27603*l + 32.\nAnswer: -112655*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(112) - (sqrt(112) + -1)*1 - (sqrt(112) + 1)*5)*-5)**2.\nAnswer: 4000*sqrt(7) + 70400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d - 4. Let i be j(7). Let o(u) be the second derivative of 167*u**3\/6 + u**2 + 359*u. Is o(i) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 972 and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*y**2 + 4168*y - 4172.\nAnswer: 4*(y - 1)*(y + 1043)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 1148.604 millilitres?\nAnswer: 1.148604","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 0, 1289, 3, -2, 8 in ascending order.\nAnswer: -2, 0, 3, 5, 8, 1289","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -164 by 4.\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*t**4\/21 - 2116*t**3\/21 - 559682*t**2\/21.\nAnswer: -2*t**2*(t + 529)**2\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3)\/((-1)\/((-15)\/(-3))). Let h = 9 - b. Let k = -4 - h. List the prime factors of k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 133659 and 9792?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4990*u - 2 - 2 + 4.\nAnswer: 4990*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 5*l**2 - 9*l. Let n(u) = -9*u**2 + 17*u. Let h(c) = 4*n(c) + 7*y(c). Let w be (-96)\/(-100)*3325\/532. Determine h(w).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*k + 1 - 1)*(-k - k - 3*k + (-3*k + 2*k - 4*k)*(1 + 0 + 1))*(3*k**3 - 5*k**3 - 2 + k**3).\nAnswer: 30*k**5 + 60*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.06 - -3.06. Let j = 3.00156 - 0.00076. Let r = z - j. Round r to three dps.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2436040.\nAnswer: 2, 5, 60901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c = m - 26, 0 = 79*m - 100*c + 105*c - 449 for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*i + 10 - 2 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1101*k + 511 wrt k?\nAnswer: -1101","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 23*d**3 - 2*d**2\/3 - 23*d + 2\/3.\nAnswer: (d - 1)*(d + 1)*(69*d - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 23 + -20. Let p be (q - (2 + -3)) + -8. Is -4 not equal to p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12 + -23 + 19 + -12 + 1.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -j**3 + 8*j**2 + 9*j + 4. Let w be a(9). Find the second derivative of 4*d - 2*d + d + d**w wrt d.\nAnswer: 12*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 3*p**3 - 49*p**2 + 93*p. Let j be i(2). Solve -9*l = -j*l + 25 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25 divided by 1487.\nAnswer: 25\/1487","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-2)\/(-6))\/(((-410)\/11820)\/(-41)). Solve -k*h = -390*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -4*z - 1. Let l(d) = -3*d + 29. Let q be l(9). Solve -3 = w + s, -w + 4*s + q = -z*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 6*3*(-10 + 184\/16). Let f(r) = -3*r**2 + 81*r + 2. Let n be f(c). Solve a = 3*a + n for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -94424, -188843, -283262, -377681, -472100?\nAnswer: -566519","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -14 + 17 + (1 - 11 - -35)\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*-3 - 78\/(-91)*7.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -5, -2, -54, 4, -3 in increasing order.\nAnswer: -54, -5, -4, -3, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.224 and 44667845.2?\nAnswer: 44667845.424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n - 8 = -5*n, -t - 13 = -5*n for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 15915865 by -2273695.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1001 (base 3) in base 7?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - (28 + 0) - -19?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2358, -6476, -12338, -19944?\nAnswer: -29294","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o**2 + 2*o - 3. Let m be b(-3). Suppose m = 5*y - 200 - 185. Calculate the highest common divisor of 11 and y.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1*9\/(-6) - 1154\/4. Let w = v - -293. Solve -z - w*z + 16 = 0 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -864565, -1729138, -2593719, -3458314, -4322929, -5187570, -6052243?\nAnswer: -6916954","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1182533677 minus -2?\nAnswer: 1182533679","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.9 + -0.6. Let x(u) = -16*u - 84. Let l be x(-6). Suppose 0 = -5*w - 3*h + 17 - 54, -3*h = l. What is the smallest value in w, 0, v?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-8)\/z)**(-1\/2)\/((z\/(z*z\/(z*z**(17\/5)))*z)\/z*z**(7\/2)\/z) assuming z is positive.\nAnswer: z**(-7\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -27238.2 (b) 0.3 (c) 2 (d) -1\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 93*x**2 + 119*x + 16. Calculate g(-3).\nAnswer: 496","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6.3 - -6. Let x be 289\/884 - 30\/390. What is the nearest to 1 in 1\/3, r, x?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.3 (b) 3 (c) 0.4 (d) 4\/5 (e) 5151\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -21294, -21129, -20934, -20709, -20454, -20169, -19854?\n\"Answer: 15*x**2 + 120*x - 21429","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 329.5 + -330. Let q = 2 - 1. Let r = -6.3 + 6. Which is the closest to 3? (a) q (b) v (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/52 (b) 234240 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -175*h - 10*h**2 + 23321 - 11665 - 11658 to r*h**2 + x + q*h and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j**3 + 7*j**2 + j + 3. What is the remainder when t(-6) is divided by ((-4)\/8)\/((-1)\/34)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20\/6*1530\/(-340).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/(-2) - (13 - 6). Let l(m) = -m + 2. Let z be l(u). Which is the third smallest value? (a) z (b) 4 (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -2550*k. Let w(q) = 343*q**2 - 690*q**2 + 344*q**2 - 7 + 7. Give w(l(v)).\nAnswer: -19507500*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -95*n - 751 - 129 = 355 for n.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-16)\/(-28))\/(14\/49). Suppose -t - 29 = 4*l, 9*t = -4*l + 4*t - 33. Let r(m) = m**3 + 6*m**2 - 9*m - 5. Let a be r(l). Solve -q*n + a = n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -688*i + 72*i - 904*i - 312 + 317 to the form a*i + t and give a.\nAnswer: -1520","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 - 5 - (-68 + 1 + 0) - (85 - 74)?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.46 less than -9?\nAnswer: -10.46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 615253?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -104 or -94070\/917?\nAnswer: -104","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 297*w**3 + 3*w**2 - 9*w**2 - 2 + 6*w**2.\nAnswer: 297*w**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dq when two letters picked without replacement from {k: 4, q: 2, d: 2}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 2*z + 0*z = 0, -5*z = 3*n. Suppose -22 = -2*a - 4*o, n = 3*a + 2*o - 5*o - 6. Let q = 8 - a. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 3146370, 3146366, 3146362, 3146358?\n\"Answer: -4*i + 3146374","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 519, 1054, 1591, 2124, 2647, 3154, 3639?\n\"Answer: -o**3 + 7*o**2 + 521*o - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -22*x + 1. Let i(w) = -7*w + 6. Let p(m) = -20*m + 17. Let z = -59 + 76. Let g(j) = z*i(j) - 6*p(j). Determine d(g(y)).\nAnswer: -22*y + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*b - 3324 - 5030 - 117772 = 0. Is 26 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 299*b - 1886. What is the thousands digit of w(48)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 5*g - 175. Let t be o(36). Solve -4*v = -5*i + 4, 3*i - t = -2*v + 7*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 28*m - 1. Let y = -136 - -234. Let h = 110 - y. Suppose -4*n = -4*v + h, -4*n + 3*v = 4*v + 2. Give j(n).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -194072 by 68.\nAnswer: -2854","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 93.61003 minutes in nanoseconds?\nAnswer: 5616601800000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 38886108 and 620523?\nAnswer: 116658324","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s - 1. Let z(t) = 4*t + 7. Let i(r) = 3*q(r) + z(r). Calculate i(-5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0 + 6. What is the units digit of 9\/c - (-132)\/8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is r in -56\/3*r - 196\/3 - 4\/3*r**2 = 0?\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 278?\nAnswer: 2, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 7*u + 4. Let o(t) = t - 1. Let g(f) = -h(f) + 5*o(f). What is g(-4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c**3 - 6 + c + 0*c**3 - 3*c + 4*c**2. Let r be n(-4). Suppose r*t = 2, -h - t = -2*t - 44. Does 20 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k**3 + 1292442*k**2 - 2584875*k + 1292436 = 0.\nAnswer: 1, 430812","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20852106.\nAnswer: 2, 3, 11, 193, 1637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2141982 and 216.\nAnswer: 25703784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (9\/6)\/((-1)\/(-6)). Let q = m + 3. What is the remainder when 46 is divided by q?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 15\/71336 and 41\/5784.\nAnswer: 214008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l**2\/5 - 22*l + 1148\/5 = 0. Calculate l.\nAnswer: 14, 41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (16 - 37 - 86)*(o**4 - 4*o**4 + 5*o**4)*(3 + 3 - 5) to the form z*o**4 + l*o**2 + v*o + h*o**3 + m and give z.\nAnswer: -214","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the second derivative of -d**4\/12 - d**3\/6 - d**2 + d. Let s(v) = 1761*v + 27 - 3523*v - 28 + 1763*v. What is -s(l) + y(l)?\nAnswer: -l**2 - 2*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -2*i**3 + 38*i**2 + 133*i - 21. Let v be j(22). Solve 3*b = 2*b - c + 3, -v = -b - 2*c for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 27*t**2 - 169*t - 113. Is v(-51) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 17.2, -86, -68 in descending order.\nAnswer: 17.2, -68, -86","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2\/3 (b) -517\/73 (c) -3 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 76957, 153910, 230863, 307816?\nAnswer: 384769","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4 - -66. Let s = g - 67. Solve 3*x + s*n - 9 = 0, 21 = 3*x + n - 4*n for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4)\/10*(1 + -6). Suppose 1 - 3 = p*d. Let a be ((d - -1)\/(-1))\/1. Is 1\/5 less than or equal to a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -28, -46, -90, -172, -304, -498, -766, -1120?\nAnswer: -1572","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 12) in base 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 251111645 divided by -6?\nAnswer: -251111645\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*p + 9*p + 8*p - 29*p.\nAnswer: -9*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 29724506 divided by 2?\nAnswer: 14862253","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*b**2 + 132*b**2 + 161*b**2 - 134*b**2 in the form q + f*b + h*b**2 and give h.\nAnswer: 150","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -744, -430, -116?\nAnswer: 198","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1897 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: Solve 0 = -4*p + 4*w + w + 1, -5*p + w - 4 = 0 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -10\/3, -3\/19, 2 in descending order.\nAnswer: 2, -3\/19, -10\/3, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*h + 3*r + 2*r + 125, 136 = 4*h + 5*r. Is (6 + -5 + 13)*h a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 204 minutes before 1:44 AM?\nAnswer: 10:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 833161*g + 458. Let t be r(22). Suppose 7*f + t = -19*f. What is f rounded to the nearest 100000?\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 35 + -70. Let t = -31 - m. What is the third biggest value in -1\/3, 1, t?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 29*i - 46. Let b be l(12). Suppose 3*d - b = 118. What is the tens digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -3*o + 7. Let t(y) = -2*y + 4. Let l be (1 - (-2)\/(-6))\/((-2)\/18). What is l*i(w) + 11*t(w)?\nAnswer: -4*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33*o**2 + 171 - 334 + 163 + o.\nAnswer: -33*o**2 + o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 112720 and 47840?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by 2672\nAnswer: -5\/2672","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1*(-8)\/(-4)*3. Let x be (36\/(-6))\/(o\/(-4)). Let b be 3\/2*x\/(-14). What is the nearest to 1\/2 in b, 1\/5, 1\/10?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 6*b = 15. Let v = 2 - b. Suppose 2*d - 2*z = 21 - 1, -z - 46 = -v*d. Solve -3*p + d = -0*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 4737*q - 4723. Give f(1).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1.57 + 0.57. What is the fourth biggest value in a, 2, 1.47, 3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2971344 and 1122288.\nAnswer: 4944","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qkj when three letters picked without replacement from {w: 3, j: 5, q: 2, k: 2}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7 - -10. Suppose v = -5*o - 3*v + 10, -2*v = -h*o + 6. Let y = o + 2. Solve 2*f = y*f - 8 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 103 + 1810526?\nAnswer: 1810630","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 24*r - 6. Let s(p) = 16*p - 4. Let d(h) = 8*s(h) - 5*w(h). Let a be d(6). Let n = a - 44. Solve n*t = -2*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19503.\nAnswer: 3, 11, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = -579 - 487. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 15\/(-10)*(-8)\/(-6). Let p = -8 - -4. Let c = -7 - p. Which is smaller: c or v?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n**3 - n**2 - n + 1. Let h(s) = -15*s**3 - 20*s**2 - 5. Suppose -4*u = 16 - 12. Let y(d) = u*h(d) - 5*t(d). Factor y(w).\nAnswer: 5*w*(w + 1)*(4*w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 224 divide 78839?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 271.8 - 272. Let v be (4 - -1)*(3 - 2). Which is the nearest to -3? (a) l (b) v (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1063, -4, 0, -2\/9, -1\/2.\nAnswer: -4, -1\/2, -2\/9, 0, 1063","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = -2*i - 5, -5*i - 16 + 1 = 3*x. Let m be 24*(54\/(-12) - x). Suppose 0 - 40 = -2*t. What is the greatest common factor of t and m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2\/6)\/(1 - (-2 - -2)). Let o be ((-4)\/(-16))\/(4\/6). Which is the second smallest value? (a) 2\/9 (b) o (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -70923 (b) 0 (c) -6 (d) -3 (e) 1\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*u = 65 + 20 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 804 and -96?\nAnswer: -77184","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cssybyi. What is prob of picking 1 i, 1 b, and 1 c?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 870, 871, 872?\nAnswer: 873","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 divided by -1054295?\nAnswer: 12\/1054295","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 903560 divided by 16135\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(39) - 2*sqrt(39))\/sqrt(3) + -2.\nAnswer: -sqrt(13) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 5 = -h - 3*h, 2*h - j = 5. Suppose h*t = 2*t - 78. Let m = 1959 + -1949. Calculate the remainder when t is divided by m.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) 2 (b) -3\/7 (c) -5 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 41 + 35 - 14513*g - 76.\nAnswer: -14513*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 21*p - 21*p + 101*p + 3*p**2 + 0 + 2*p**4 - 21*p as g*p**4 + z*p**3 + n*p**2 + a*p + f and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6475.7 + 6476. What is the second smallest value in 2\/75, 1, m, 2\/21?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 402838 a multiple of 115?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 30268574 and 350546?\nAnswer: 7154","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h**3 + 6*h**2 + 17*h + 10. Let j(l) = -2*l - 1. Let x(c) = -a(c) - 6*j(c). What is x(-6)?\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*y + y + 3*y - 2*y + 0*y + 0*y + (-2 - 3 + 4)*(-y + y - y) - 3 - y + 3 - 34 + 0*y - y + 113.\nAnswer: -4*y + 79","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4 - 478d73?\nAnswer: -478d77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 3 (b) -0.3 (c) 48\/25 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1440 divided by 80.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -a1b7 - a?\nAnswer: -a1c3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -11 in -8, 1\/7, -2?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(1\/3))**(-6\/11)\/(l\/l**1*l\/(l*l**8)) assuming l is positive.\nAnswer: l**(86\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0137592 rounded to four dps?\nAnswer: -0.0138","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -319\/86 + 224\/43. Let v = 2 - -1. What is the closest to -0.1 in -1, v, t?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 19? (a) 0.5 (b) 0.3 (c) 0.2 (d) 2\/3 (e) 13.9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 168067 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 25\/249 and 44\/21.\nAnswer: 1743","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 663*n - 190*n - 10696 = 171*n + 1066*n for n.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 95 - 275*j - 519 + 424.\nAnswer: -275*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2 and 36.1395.\nAnswer: -72.279","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1\/((-19)\/(-38)*40\/2). What is the third biggest value in 18, a, -4\/9, 0.4, 9?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 53538 is divided by 41.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 67 + -34. Let t = s - 23. Suppose -j + 5 - t = 0. Put 2, j, -3 in decreasing order.\nAnswer: 2, -3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 91\/10 and 29\/62.\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 140 in -5, -1, -0.09, -0.1?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-1\/6)*m*m*m*((m**20\/m*m)\/m)\/m assuming m is positive.\nAnswer: m**(125\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_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: -2001022011122 (base 3) to base 6\nAnswer: -35155242","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 15*c**3 - 399*c**2 + 918*c + 432.\nAnswer: 3*(c - 24)*(c - 3)*(5*c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cy when two letters picked without replacement from {y: 2, r: 2, c: 5, g: 1, h: 5, a: 1}?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v**2 + v + 57. Let t be s(-7). Which is the closest to t? (a) 0.4 (b) 0.5 (c) 1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the third derivative of -i**7\/105 + i**3 - 14*i**2 - 2*i. What is the first derivative of k(u) wrt u?\nAnswer: -8*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d - 6. Let j be o(5). Is 9 a factor of (j - (-21)\/(-5))*-5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 581678184?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*t - 10802 + 22206 - 10006 + 0*t)*(2*t - t - 2*t).\nAnswer: 3*t**2 - 1398*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ij when two letters picked without replacement from jijiiiij.\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a**2 - 988*a - 169398. Calculate f(-149).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h = -12, -4*u - 3*h + 119 = 113 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 8 = -147*x + 145*x, k - 1 = 0. Solve 4*d - w + 0 + 7 = 0, -25 = x*d + 2*w for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 5, 12, 21, 32?\n\"Answer: o**2 + 4*o","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 minutes after 4:26 AM?\nAnswer: 4:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 50 + 3\/(9\/(-12))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1792 is divided by 360?\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.17 times 5221?\nAnswer: -887.57","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 320143 (base 7) to base 6.\nAnswer: 1104011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -616445, -1232955, -1849465, -2465975, -3082485, -3698995?\nAnswer: -4315505","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 143606374?\nAnswer: 2, 71803187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 0*f = -160. Let j = f - -72. What is the highest common factor of 10 and j?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) -6279 (b) 1\/4 (c) 0.4 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17 = -10*k - 47 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 204 greater than 212?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that -3*r**3 - 633*r**2 - 39480*r - 609684 = 0.\nAnswer: -94, -23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 31232 divided by -3904\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -3442213 (base 5) to base 16\nAnswer: -f2e7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 12 to the nearest integer.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (22\/165)\/(196\/35)*(-270)\/(-60)?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 181465 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -3397\/2 > -1699?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(208) + sqrt(208) + -1)**2*1 + 1 + -5 + (sqrt(156)\/(sqrt(48)\/sqrt(4)) - 2*sqrt(52)).\nAnswer: -19*sqrt(13) + 829","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 64372950 and 9120.\nAnswer: 1029967200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-1 + sqrt(8)\/sqrt(4)).\nAnswer: -4*sqrt(2) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (3 + -33 - -1) + (-424 - -433)\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 211 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, 1, 21, 4 in decreasing order.\nAnswer: 21, 8, 4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.0399 at most 2\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = 5*i - 19, -5*i + v - 6*v = -15. Let z(m) = 6*m**2 - m + 1. Let s be z(2). Solve -5*r - 12 - 10 = -3*u, -3*u - s = i*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.058145 + -0.0594. Round z to 5 decimal places.\nAnswer: -0.00126","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is n in 26\/5*n**2 + 2\/5*n**3 + 126\/5 + 102\/5*n = 0?\nAnswer: -7, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*x - 3*x + 105. What are the prime factors of x?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 56, 221, 496, 881, 1376, 1981, 2696?\nAnswer: 3521","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5, 0.5, -4656114?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -3*j - 18. Let f be h(-10). What is the greatest common divisor of 762 and f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i**3 - 37*i**2 - 78*i - 1. Calculate m(0).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) -0.04 (b) -1.1 (c) 7\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -326 + 368. Calculate the highest common divisor of 483 and y.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 + -28 - (4 + 1)) + (3 - 6) + -2?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the second derivative of -11*t**8\/56 + 5*t**4\/12 - 8*t. What is the third derivative of s(m) wrt m?\nAnswer: -1320*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38603 is divided by 85.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 403483 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 0 + -e6d16?\nAnswer: -e6d16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = -4*f + 7, -5*p + 2*f + 12 = -7. Let o be (2 + 5 - 1) + 2. Suppose 5*b - o = p*b. Solve 0 = -4*z - 4*k + 4, b = z + 3*z - k for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t**2 + 5*t + 4. Suppose -2*d = -d - 4. What is the remainder when w(-6) is divided by d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 676 minutes before 10:56 AM?\nAnswer: 11:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -5*x**2 + 5*x. Let h(g) = -15*g**2 + 16*g. Let s(t) = -4*h(t) + 11*i(t). What is the second derivative of s(l) wrt l?\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 75\/2 of a year in months?\nAnswer: 450","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -11 - 10*-1*(-6)\/(-15). Let w(d) = -36*d - 15. Is w(m) a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (7 - 4)\/((-6)\/(-4)) - 1\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 901 divide 5871992?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -3*l**3 + l**2 + l - 7. Let g be p(-3). Let s(k) = 80 - k - g. Let m(d) = -7*d. Give m(s(x)).\nAnswer: 7*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from {k: 9}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put together 7065233186 and 35.\nAnswer: 7065233221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 340*x**4 + 929*x**3 - 929*x**3 + 2*x**3 + x**4 - 2*x**3 + 0*x**4 + 4*x**4 + x**4 + (-4*x**4 + 2*x**4 + 4*x**4)*(-3 + 1 + 0).\nAnswer: 342*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fyjjnjnjj. What is prob of sequence njjy?\nAnswer: 5\/378","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -45 - -44.99999836. Round b to 6 decimal places.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.0801 + -40.2199. Let q = c + 43. Round q to zero dps.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 2*c - 4*c. Suppose c*o + 0*o - 88 = 0. Is o a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*j**4 + 0*j**4 + 0*j**4)*(-19*j - 25*j - 64*j).\nAnswer: 324*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*w - 16 = -12*w. Suppose 9 = 3*y + c - 11, -3*y - w*c = -26. What is the remainder when 11 is divided by y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 - 6)*(-7 + 7 - 7*k).\nAnswer: 28*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/(-2))\/((0 - (-57)\/90) + (-6)\/(-30))?\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 722 is divided by 15?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 34034011 (base 6) in base 4?\nAnswer: 3323300113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 10 = -6*x. Let q = 5 + -8. Let f(w) = -w**2 - 7*w - 4. Let i be f(q). Solve -x*m + 0 = i for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2\/3, -9779, -2, -10?\nAnswer: -9779","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2, 0, -4\/9, -10?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 22806, 45611, 68416, 91221?\n\"Answer: 22805*m + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-35)\/(-12 + 5) - (0 + 0). Suppose 5*l = -3*g - 23, -g - 17 = q*l + 4. Let y be 3\/4*-3 - (-3 - g). What is the third smallest value in -36, 1, y?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 64513 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 l when three letters picked without replacement from {j: 1, l: 1, u: 3, d: 1, a: 2, c: 5}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n**4\/3 - 560*n**3\/3 + 4208*n**2 + 540160*n\/3 - 1126400\/3 = 0 for n.\nAnswer: -22, 2, 80","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 60 divided by 18.\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -69.9, -0.3, 1\/4, 2.1, -0.32 in increasing order.\nAnswer: -69.9, -0.32, -0.3, 1\/4, 2.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -578*b - 2*h - 5*h = -583*b + 99, 0 = b + 4*h + 72 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 495\/5 - (4 + -5 - -1). Suppose -62 = -7*q + a. Let w(m) = -m**2 + 6*m + 8. What is the remainder when q is divided by w(6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2492, 3196, 3898, 4598, 5296, 5992?\nAnswer: 6686","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Solve j**2 - 48*j - 1633 = 0 for j.\nAnswer: -23, 71","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d**3 + 7*d**2 + 3*d + 7. Let v be f(-5). Let j be v\/(-4)*2\/(-3). Let t be (-6375)\/(-6)*(1 + j). What is t rounded to the nearest one thousand?\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 594559 - 594527 = 4*u - 4*b, 0 = 25*u + 2*b - 65 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 3*h + h - 3*h + 2*h. Let l(o) be the first derivative of -3*o**2 + 0*o**2 + 111 - 152. What is z(l(a))?\nAnswer: -18*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 14*u - 24*u + 70. Suppose u*k - 466 = -305. Round k to the nearest 100.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y when two letters picked without replacement from {h: 3, y: 4, r: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 66.2815 - 68.12. What is m rounded to one decimal place?\nAnswer: -1.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 754 to the power of 1\/2, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 45*x**3 + x**2 - x - 2. Determine p(-1).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*t = -2*t + 45. Let s be 2\/10 + t\/(-5). Solve s*g = g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -10*x + 198. Is g(10) a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wgrgrjgrrrjgpjrjrrqp. What is prob of sequence qprr?\nAnswer: 14\/14535","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (6\/(-8))\/((-2)\/8). Differentiate 5*g**d - 3*g - 198 + 191 + 3*g with respect to g.\nAnswer: 15*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 249 and 126.\nAnswer: 10458","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + g = -1, -b - 4*g = -2*g + 2. Let f(y) = b*y + 1 + 3*y + y. Let z be f(1). Solve 0 = 5*r - z + 20 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.4 (b) 8.5 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*b - 8*b - 228 = 0 for b.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 3, r: 5}. What is prob of picking 2 r?\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2313962 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -5*d + 30. Let s be j(6). Solve -4*n = 5*q + 6, s = -3*n + 2*q - 1 + 8 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -c + 7 + 6*c + c - 22 to the form o*c + u and give o.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 1 - 5)*(0 - 13 + 4)*(3*p + 0*p - 2*p).\nAnswer: 63*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - (-74 + 143)) + -7 + 0\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -249709 + 28*p**3 + 890*p**3 + 249707.\nAnswer: 918*p**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6447467 and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iaa when three letters picked without replacement from avvviaaavvvvaipipaaa?\nAnswer: 7\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 553 minutes before 5:15 PM?\nAnswer: 8:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*z - 3*z - 5*z - 4*z to a*z + g and give a.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1111081506 divided by 921.\nAnswer: 1206386","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 46\/13 and (-37)\/(-27)*(7 - (-2 - -3)).\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*j + 3*j + 2*j**2 + (3*j - 6*j - 2*j)*(2*j - 1 + 1) + 3 - 3 - 2*j**2.\nAnswer: -10*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 35833, 144489, 325951, 580219, 907293, 1307173?\nAnswer: 1779859","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uzc when three letters picked without replacement from ancnzcuzcc.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 656 and 2344?\nAnswer: 192208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = j - 7, 0 = 4*i - 4*j - 0*j - 68. Let d = i - 113. Let f = -78 - d. What are the prime factors of f?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + -3 + (sqrt(153)*2 + sqrt(153) + 0 + -5)**2*-3.\nAnswer: -4214 + 270*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 2*w = -58, 98 = -2*z - w + 224. Which is smaller: z or 188\/3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -2*f**3 - 7*f**2 + 9*f + 1. Is g(-6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -l - 4*l - l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f**2 - 4*f + 15. Let p be j(-7). Let q(i) = -i**3 - 6*i**2 + i - 5. Calculate q(p).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g + 2*a - 1106 = -1128, -74 = -4*g + 14*a for g.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pmmtfjf. Give prob of picking 1 j and 1 m.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 576.07 + -579. Let d = m - -2.929843. What is d rounded to 5 decimal places?\nAnswer: -0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2 - -17. Let b = x + -8. Let d = 1 + b. Which is greater: -2 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3118 to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*s**2 + 20*s**2 + 2 - 3 - 4*s**3 - 37*s**2 + 9*s**2 as j + h*s**2 + x*s**3 + q*s and give x.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 1710?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 124 a factor of 122681?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 336*n - 14. Let q be s(0). Put 12, q, 1 in descending order.\nAnswer: 12, 1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 64*j + 64*j + 18*j - 64*j + 63*j.\nAnswer: 145*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-1\/4))**(2\/33)\/((f\/f**5)\/f*f*f**6) assuming f is positive.\nAnswer: f**(-133\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101110101011110000101111 + 100?\nAnswer: -101110101011110000101011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 1\/3, 2, -13 in descending order.\nAnswer: 2, 1\/3, 0, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -57, -96, -125, -144?\n\"Answer: 5*l**2 - 54*l - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9237 - 44716\/5. Let g = 295 - j. Put 0.1, -3, g in decreasing order.\nAnswer: g, 0.1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*c - c + 4*c)*(-3*c**2 + 2 - 2) + (-2*c**2 - 4*c**2 + 4*c**2)*(-1 + 1 + 5*c)*(-2 - 6 + 1).\nAnswer: 52*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -q**3 + 6*q**2 - 6*q. Let k be -1*(8\/(-2))\/(2\/2). Calculate the remainder when t(k) is divided by -2*4*7\/(-14).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 0*q**3 + 2*q**3 - 4*q**2 + 2*q**2 + 0*q**3 wrt q?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1*-1 - (5 + -8). Suppose b*h + 4 = -s, 3 = -3*s + h + 5. Solve -f - 1 = -s*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c**2 - 8*c. Let m(w) = 19472*w. What is m(s(n))?\nAnswer: -19472*n**2 - 155776*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 165 = 5*z + 8*m, 2*z + m - 65 = 0. Calculate the greatest common factor of z and 54.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -9*l**2 - 5*l - 5. Let m(r) = -r + 1. Let q(c) = 5*c**2 - c + 7. Let p(w) = 4*m(w) - q(w). Determine 3*i(a) - 5*p(a).\nAnswer: -2*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 104412 and 444994.\nAnswer: 18689748","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 666.100159 - 666.1. What is r rounded to 6 dps?\nAnswer: 0.000159","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2952 divided by 6\nAnswer: -492","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 17, -2.\nAnswer: -3, -2, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3315 = 359*w + 238*w + 1600 - 736 for w.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1132899 at most as big as -3\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1 + 0)\/(-28 - 7021\/(-255)). Which is the second biggest value? (a) 3 (b) -8 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 + 6. Suppose 0 = d - w*d + 50. Solve 0 = -3*t + 2*s + d, -10 = -4*t + 3*s + 3 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 2861, 5886, 8911, 11936, 14961?\n\"Answer: 3025*f - 164","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r when two letters picked without replacement from {r: 7}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:57 AM and 3:49 AM?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c = 4*n - 0*c - 20, -2*n + 2*c = -12 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(36)\/((2*sqrt(108) - sqrt(108))\/sqrt(9)).\nAnswer: sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = -3*x, 2*x = -5*j + x - 28. Let v = j - -19. What is the remainder when 38 is divided by v?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -121216\/5 + 121218\/5. Factor 0 + 36\/5*i + 34\/5*i**2 - s*i**3.\nAnswer: -2*i*(i - 18)*(i + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 12*d - 4. Let r(j) be the first derivative of j - 252. What is 3*r(n) + y(n)?\nAnswer: 12*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 661 minutes before 5:19 AM?\nAnswer: 6:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -38*m + 345. What is h(36)?\nAnswer: -1023","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 7) to base 2\nAnswer: -111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -44702*u**3 - 3*u**2 + 12910.\nAnswer: -268212","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that 3\/4*y**3 + 3*y**2 + 9\/4*y + 0 = 0.\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is k in 16254603*k**4 + 373855863*k**3 + 2324408091*k**2 + 1966806105*k - 726 = 0?\nAnswer: -11, -1, 2\/5418201","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 173220 and 105?\nAnswer: 1212540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -17 + 20. Suppose 0 = a*v - 5*v + 2*n - 28, -n + 38 = -3*v. Let x = v - -13. Sort 4, x, 8.\nAnswer: x, 4, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 41 and 943.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence llcl when four letters picked without replacement from lcccccllcl.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4, -0.01, -4.05, 2\/7?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((3 + 18 - 9)*(-3 + 1 + 3) + 4 + 5 - 4)*(-7*o - 5*o + 3*o) to q + j*o and give j.\nAnswer: -153","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1322?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 14*y**2 - 18*y + 73. Let k be a(5). What is k rounded to the nearest 100?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 100*b**2. Let o(p) = 2*p + 28. Calculate a(o(d)).\nAnswer: 400*d**2 + 11200*d + 78400","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a**4 - 5973*a**3 + 12170514*a**2 - 8987160412*a + 1076626366536 = 0. Calculate a.\nAnswer: 147, 1942","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -23 - -41. Suppose 33*f - 93*f + 2100 = 0. What is the remainder when f is divided by q?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = -0*u. Suppose u = 3*r - 27 + 3. Suppose -1 - r = -5*h + 4*s, -2*h = 2*s. Is 1 at most h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 10893.86 - 10982. Let d = -88 - t. Let m = 0 + -0.4. Which is the nearest to -0.1? (a) m (b) d (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a millennium in decades?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the third derivative of -t**6\/120 + t**5\/15 - 5*t**4\/24 + t**3\/2 - 4*t**2. Let q = 12 + -9. Determine r(q).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3) - sqrt(27))*1*1)**2 - (2 + (1 + sqrt(300))**2 + sqrt(300)).\nAnswer: -291 - 30*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*y + 4*m - 3 + 27, -14 = -3*y + 5*m for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 3*w**3 - 16*w**2 + 7*w - 7. Let b be a(5). What are the prime factors of (-33 - -36)*619\/b?\nAnswer: 619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 13) to base 14.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 3*n**3 - 61*n**2 + 1271*n - 22704. Give x(19).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 61\/1676 and -93\/22.\nAnswer: 18436","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*(-2*1552\/256 + 12)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 22*-1\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, t: 2, i: 5, u: 1}. What is prob of sequence ri?\nAnswer: 5\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 90, 161, 232?\n\"Answer: 71*b + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32743 is divided by 177.\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 12 = -2*x. Find the common denominator of (-6)\/x - (-137)\/(-6) and 196\/9*3\/(-8).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the first derivative of 2*b**3\/3 - 2*b - 16. Let o(f) = -10*f - 11. Let y be o(-2). Let c = y + -11. What is z(c)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**3\/7 + 71382*p**2 + 62419026240*p\/7 + 124836053792\/7.\nAnswer: (p + 2)*(p + 249836)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j**2 + 9*j - 4. Let b be u(4). Let a(g) = 4*g + 11*g - b*g. Let f(k) = 0*k + 11*k - 4*k. Calculate a(f(p)).\nAnswer: -7*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + 4 + sqrt(1216) + (sqrt(1216) + (1*sqrt(1216) - sqrt(1216)) + sqrt(1216) - sqrt(1216))*4)**2.\nAnswer: 320*sqrt(19) + 30416","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (24*g - 4*g - 11*g + 4*g - 4*g - 2*g + (1 - 4 + 2)*(g + 2*g - g))*(1 - 1 - g**2 + (2 - 2*g**2 - 2)*(-1 + 0 + 3)).\nAnswer: -25*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-95)\/(-35) + -3 + (-13)\/(-21). Which is the second biggest value? (a) 3 (b) -5 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 3*s**2 + 13*s. Let i(u) = 2*u**2 + 16*u + 1. Determine 4*i(z) - 5*q(z).\nAnswer: -7*z**2 - z + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 93*c*j**2 - 2*c*j - 2*c + 3*j**5 + 2493*j**2 - 2*j - 30145 wrt j?\nAnswer: 186*c + 60*j**3 + 4986","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1491 = -7*p + 154. Calculate the remainder when p is divided by 34.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 135 divided by -20?\nAnswer: -27\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3597, 3599, 3603, 3609, 3617, 3627?\nAnswer: 3639","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 206143708757 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -33\/25 (b) -2 (c) -4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q - 2. Let d be z(2). Let y(f) be the first derivative of 0*f + 7\/3*f**3 - 1 + d*f**2. Let j(l) = l. Determine j(y(r)).\nAnswer: 7*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 5*q**2 - 4. Let b = 64 - 66. Let v be x(b). Find the third derivative of 16*a**2 + 13*a**4 + v*a**2 - 28*a**2 wrt a.\nAnswer: 312*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7808 to the nearest integer?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3320*-0.47.\nAnswer: -1560.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 2*f**2 - 5*f + 1. Let w = 127 + -103. Suppose 0 = -5*k + 4*o + w + 13, -2*o = 5*k - 19. Let b(y) = -y. Determine k*b(u) - h(u).\nAnswer: -2*u**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2766, 10932, 24532, 43572, 68058?\nAnswer: 97996","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.003579281 rounded to 3 decimal places?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 95dea6 + -4?\nAnswer: 95dea2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 65*m**2 + 122*m**2 - 68*m**2 + 19*m**2 + 81*m**2.\nAnswer: 219*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 358*k**5 - 3*k**2 + 71*k wrt k?\nAnswer: 21480*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -8*h**3 - 8*h**2 + 9. Let b(q) be the third derivative of -q**6\/60 - q**5\/30 + q**3\/3 - 5*q**2. Let y(f) = 9*b(f) - 2*r(f). Factor y(w).\nAnswer: -2*w**2*(w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.248 - -0.052. Let j = 184\/5 + -37. Which is the smallest value? (a) z (b) -3 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6072499799 to the nearest integer?\nAnswer: 1824","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n**3 - 12*n**2 - n - 31. What is p(12)?\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3\/((-42)\/(-58)) - (-12)\/(-84). Let u(q) = 12*q**2 - 45*q**2 + 1 - m*q + 14*q**2 + 20*q**2. What is u(5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -2*d**2 - 11678*d. Let l(f) = 2*f. Calculate s(l(z)).\nAnswer: -8*z**2 - 23356*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 47 + -42. Suppose -g*o + 0*o + 70 = 0. Is 13 equal to o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0 (b) 0.34 (c) -0.4 (d) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (0 + -1 - 6) + (-195)\/(-25). Which is the second biggest value? (a) 1\/4 (b) 0.3 (c) o (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 401 minutes before 7:30 AM?\nAnswer: 12:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -75*o**3 - 6305*o**2 - 420*o.\nAnswer: -5*o*(o + 84)*(15*o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 64762696751 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -2*h**2 + 42*h - 32*h - 25*h + 7. Let i be n(-8). Is 2 - i - (-9)\/3 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 2, 10, 0 in decreasing order.\nAnswer: 10, 2, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6.3337 + 6.38. What is f rounded to 2 decimal places?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 7906*k - 3361*k - 13280*k in the form f*k + j and give f.\nAnswer: -8735","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -64*g + 1485. What is w(23)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f**2 - 2*f + 60. Let k be (-38)\/(-4 - -8 - 6). Let z = 19 - k. List the prime factors of y(z).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + (-1 - -11 - (127 + -114)) - 23.\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 16 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g + 10*f - 380 = 298 - 18, -3*g + 192 = -0*g + 3*f for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*1*(4125\/120)\/(50\/20).\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -142, -278, -428, -598, -794, -1022?\n\"Answer: -h**3 - h**2 - 126*h - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + (-4 - 1) + 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 104 + 23201?\nAnswer: 23310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 143 + -219. Let r = h + 80.9. Let m = r + -5.82. Round m to one decimal place.\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 78?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-12710)\/620*(-8)\/82. Solve 2*l - x = -12, -2*q = l - 1 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1344 < 73715?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6187 - -6187.000448. What is p rounded to four decimal places?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -46693 divided by -20?\nAnswer: 46693\/20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000044003 rounded to seven dps?\nAnswer: -0.0000044","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -31195, -31160, -31125, -31090?\nAnswer: -31055","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 32 - 2443?\nAnswer: -2411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 3*c + 35. Let y be l(9). Suppose -9*b + 107 = y. Solve -2*a = 2*a + i + 1, b*a = i - 8 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.138 - -1.13797615. What is i rounded to six decimal places?\nAnswer: -0.000024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 987365600.\nAnswer: 2, 5, 13, 67, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1367399 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-60)\/135*9\/(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 3*a**3 + 27*a**2 - 7*a + 5. Is z(10) a multiple of 93?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that -2 - 2*w**4 - 8*w**2 - 2*w**5 + w**2 + 15*w**2 - 4*w**2 - 2*w + 4*w**3 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*s + s + 1500. Is s a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z - 3*g = -6*g - 7, 5 = z - 3*g for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1105?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 minutes after 2:37 PM?\nAnswer: 3:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11222 is divided by 23.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -0*s + 2*s. Suppose s*i + 3 - 18 = 0. Find v such that 1\/2*v**i + v**2 + 0 + 1\/2*v = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1461*v - 202*v = -1466*v + 130800 for v.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-310)\/(-403))\/(44\/(-143))?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(4\/7)\/(s\/(s\/(s\/((s\/(((s*s*s\/s**(-2))\/s)\/s))\/s)))*s*s))\/((s*s\/s**0*s*s)\/(s*s\/(s**(-4\/9)*s))) assuming s is positive.\nAnswer: s**(-503\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t**3 + t**2 + 10*t + 18. Determine h(-7).\nAnswer: -346","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2047 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: Is 21 a factor of 20116824?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) 1\/5 (b) -0.1 (c) 30 (d) -247\/9 (e) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 20*n - 217. Calculate b(13).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19303?\nAnswer: 97, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c. Let a(p) be the second derivative of p**4\/3 - 9*p. What is t(a(w))?\nAnswer: -4*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2735\/44 - -164771\/220. Which is greater: j or 688?\nAnswer: 688","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -r**5 - 2*r**4 + 2*r**4 + (0 + 1 + 1)*(-2*r**5 + 0 + 0) + 0 + r**5 + 0 + (-r**2 - 2*r**3 + r**2)*(0*r**2 + r**2 - 2*r**2).\nAnswer: -2*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2.3 (b) 0.107 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7 - -8. Let h(b) = n + 7*b - b**2 - 2 - 4 + 2. List the prime factors of h(6).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5689318389 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -98 - -168. Let u = -277 - -276. Let c be (u\/(-3))\/(-1) - 1240\/(-120). Calculate the highest common factor of c and d.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4\/111 + 365\/888. Let i(b) = -b**3 - 13*b**2 - 13*b - 13. Let g be i(-12). Let h = 0.29 - -0.01. What is the second smallest value in h, f, g?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 37, -2, 1, 2, 3 in ascending order.\nAnswer: -2, 1, 2, 3, 37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 11*i - 4. Let d = -91 + 123. Suppose -d*q + 140 = -212. What is the smallest common multiple of y(6) and q?\nAnswer: 682","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 146 and 23141.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(75)*1 + sqrt(75) + (sqrt(75) + (1 + sqrt(75))**2 + sqrt(75))*5 + -3 + ((-1 + sqrt(300))*2)**2.\nAnswer: 30*sqrt(3) + 1582","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 5*a + 3 = 0, a - 3 = -2*a. Let q be (144\/10)\/((-30)\/(-200)). Let h = q + -670\/7. What is the third smallest value in 3, h, k?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 702627 (base 14) to base 8\nAnswer: 16306113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v + 10 = -5*x, 0*x + x - 10 = 3*v for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 23\/39350 and -67\/18947025.\nAnswer: 37894050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 3*q**2. Let v(w) = 10*w + 35. Let j be 4\/3*(4 - 1). Let d(i) = i + 4. Let l(h) = j*v(h) - 35*d(h). Calculate l(t(c)).\nAnswer: 15*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3 - -202013001213?\nAnswer: 202013001210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -4*x - 6. Let c be v(9). Let k = 46 + c. Calculate the greatest common factor of k and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 320 a factor of 3845895?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 34478305*i. Let x(f) = -2*f**2. Determine o(x(w)).\nAnswer: -68956610*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v + 10*x = 11*x - 7, -v = 4*x + 6 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 50665*d - 10. Let t(i) be the first derivative of -i**2\/2 + 2*i + 2. Let s be t(8). Let r be o(s). What is r rounded to the nearest 10000?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -2*j**2 + 13*j - 7. Let d be b(1). Suppose 3*s - 4*w = -9*w - 6, d*s + 4*w = 0. Find m, given that -8\/7*m**2 + 6\/7*m + 2\/7*m**s + 0 = 0.\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -7\/125 and -27\/250.\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3573 and 2900085.\nAnswer: 1191","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 3*k**2. Let w(r) = -7*r**2 - 3*r. Let m be 5 + -1 + -2 + 1. Let b(x) = -15*x**2 - 7*x. Let s(v) = m*b(v) - 7*w(v). Give a(s(i)).\nAnswer: 48*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -8*f + 30. Calculate q(4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 52 + 7*b - 508*b**3 - 33 - 20.\nAnswer: -508*b**3 + 7*b - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -2\/7, -0.4, -2, 4659, -63, -3\/4, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that 3*u**3\/4 + 20883*u**2\/4 + 208605*u\/4 + 521325\/4 = 0.\nAnswer: -6951, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 24019 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (2*12\/(-4))\/(-3)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oe when two letters picked without replacement from eweeo?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 0 - 1022104202?\nAnswer: -1022104202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2 + (-3 - -1))\/3. Suppose 5*k + 5 = 5*y, n = -0*y + 2*y - 6. Find the second derivative of r - 16*r**3 - 4*r + 10*r**3 - k*r wrt r.\nAnswer: -36*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the third derivative of 13*p**4\/24 + p**3\/6 - 3*p**2. Let n(a) = 20*a + 1. Let g(z) = -8*m(z) + 5*n(z). Differentiate g(c) wrt c.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 3, -9, 0 in decreasing order.\nAnswer: 3, 0, -6, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i**2 - 6*i. Let d be k(6). Let h = 11 - 5. Suppose h*p - 2*p = d. Solve s = -4*o - o + 5, -4*o - 2*s + 10 = p for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 5 + 170\/(-10) - (5 + -1). Let f be -2 - 2*40\/u. Solve f*w = 1 + 2 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2583026659 to the nearest integer?\nAnswer: 1372","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(9*(-2)\/9*((-13)\/10)\/(-13))\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/(-5))\/(12\/(-12))*1?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -0*u + u. Let g(y) = 3*y - 400*y**2 - 17*y + y + 3 + 398*y**2 + 9*y. What is g(u)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 2 - 1)*(-5 + 2 + 2)*(-2*v + 0*v + 0*v).\nAnswer: 2*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -59 + 78. What are the prime factors of i?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 119 a factor of 1552831?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -7554 < -7554?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.071 greater than 2071?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k**2 - 26*k + 93. What is g(11)?\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 8398?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 5, x: 2, f: 4, v: 1, n: 3, j: 5}. What is prob of sequence tnx?\nAnswer: 1\/228","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -3305.6802 rounded to the nearest one hundred?\nAnswer: -3300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -113 - (-11 - (78 + -3))?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 105523 divided by -20.\nAnswer: -105523\/20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by 446.\nAnswer: -1\/446","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 91848316?\nAnswer: 2, 7, 3280297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f**3 + 10*f**2 - 14*f - 12. Let q be u(-11). Let x be ((-8)\/(-20))\/((-5 + 3)\/(-20)). Solve 0 = -11*c + x*c + q for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -405, -314, -1, 10 in increasing order.\nAnswer: -405, -314, -1, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -51*a**4 - 233*a**2 + 538*a**2 + 166*a**2 - 2*a**3 + 52*a**4 to r*a**3 + p*a + i*a**2 + b*a**4 + s and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -2*j**3 + 18*j**2 + 12*j - 112. Let i be m(9). Sort 1, 18, 2, i in descending order.\nAnswer: 18, 2, 1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000599451 rounded to 4 decimal places?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 157\/1188 and 1\/174.\nAnswer: 34452","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -13020 (base 6) to base 4\nAnswer: -132210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3048 by -402.\nAnswer: 508\/67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 31244030 + 2?\nAnswer: 31244032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -589 + 646. Does 54 = g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n**3 + 6*n**2 + 2*n - 2. Determine k(3).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 3*x - 4. What is y(7)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5, 11, 43, 97, 179, 295, 451?\nAnswer: 653","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 49 + -24 + -21 - 13?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 507810453 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -84*o + 45 + 2*o**2 - 34 - 23 + 87*o as r + l*o + f*o**2 and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.2 (b) -4\/11 (c) 0 (d) -0.1 (e) 2\/7 (f) -1 (g) -22\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 52.8999991499 - 52.9. What is s rounded to seven dps?\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 44 - 39 - (2 + 6) - -6. Solve -5*d + p + 7 = 0, -o*d - 2*d + 3*p = -1 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4431, 8902, 13415, 17970, 22567, 27206, 31887?\nAnswer: 36610","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 618952?\nAnswer: 2, 77369","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*b + 782 = 3698. What are the prime factors of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 317 + -215. Calculate the highest common divisor of 6 and y.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -g**2 + 11*g - 5. Suppose -5*r - 8 = -6*r. Calculate the remainder when m(r) is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*s**3 + s**3 + s**3 - 2*s**3.\nAnswer: 4*s**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*q**2\/9 - 576382*q\/9 + 192128\/3.\nAnswer: -2*(q - 1)*(q + 288192)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1602729 by 37.\nAnswer: 43317","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-1\/22)*l*l\/((l\/(l\/(l\/l**(-18\/5)))*l)\/l) assuming l is positive.\nAnswer: l**(-291\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 506 is divided by 64.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4 - 21354?\nAnswer: -21350","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 4, c: 2, m: 2}. What is prob of picking 1 v, 2 m, and 1 c?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -86, -74, -46, 10, 106, 254, 466?\nAnswer: 754","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-42)\/(-54) + -1)*(-1287)\/1859?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-f + 0*f - f)*((-18 - 2 - 3)*(136 - 7*f - 136) + 2*f + 8*f - 9*f) as l*f**2 + t + u*f and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 3 d when four letters picked without replacement from wxxdrjwdxwwwwrjdwdw?\nAnswer: 8\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 9446, 14484, 19522, 24560, 29598?\n\"Answer: 5038*u + 4408","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -5155 and -2?\nAnswer: 5153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 8*w**2 - 5*w + 3. Let v(s) = 4*s**3 + 9*s**2 + 6*s + 3. Let d be v(-2). Let h(n) = -n**2 + n - 1. Calculate d*h(z) - g(z).\nAnswer: -3*z**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k**3 - 5*k**2 - k + 3. Let l be c(5). Is l less than -6\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -3*o**2 - 22*o + 17. Let r(t) = -t**2 - 11*t + 8. Let j(v) = -3*p(v) + 7*r(v). Let b be j(5). Which is smaller: b or 3\/5?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (56620\/(-17880))\/(2\/(-4*15)).\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 - -3. Suppose -5*q = -3*b - 50, 3*b + 12 + 8 = x*q. Solve -2*i + 0 + q = 0 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8 + 5 - 6 - (-5 + 2)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*q**3 + 14*q**3 + 9*q**3 - 42*q**3.\nAnswer: q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 0 + (1 + sqrt(192))*-1 + (-1 + sqrt(192) + -1)**2 + -2.\nAnswer: -40*sqrt(3) + 195","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 493 minutes before 7:48 AM?\nAnswer: 11:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 182 and 52?\nAnswer: 364","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1429*y**2 + 639 - y**3 - 640 + 0*y**3 to a + m*y**3 + v*y + l*y**2 and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*q + 5*u + 20, 5*q = -4*u - 0*u + 29. Solve 0*r + q*r + 5 = 0 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -9*a**2 + 3*a. Let k(s) = -17*s**2 + 5*s. Let y be (-14)\/(-2) + 30\/(-15). Let p(x) = y*r(x) - 3*k(x). Let l(b) = -2*b**2. Calculate p(l(i)).\nAnswer: 24*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 55 a factor of 484196310?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 81392?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 - 12 = -18*i - 125 for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 26*(-1 - 6\/(-4)). Suppose 512*y = 516*y + 3*j - 3340, -y - j + 835 = 0. Suppose 12*q - z*q = -y. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t**2 - 6*t + 7. Let o be y(5). Let w = o - 2. Let m(r) = -2*r - 1. Let s be m(w). Sort s, 1, -3, 0 in decreasing order.\nAnswer: 1, 0, s, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 91\/8380 and 101\/766770.\nAnswer: 1533540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -115 bigger than -117?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5050 and 5?\nAnswer: 5050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x**2 - 5*x + 6. Let l be k(-5). Let h = l + -160\/3. Is h equal to 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -17\/4 (b) -0.37 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 2756, 2754, 2752, 2750, 2748, 2746?\n\"Answer: -2*v + 2758","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 669 minutes after 9:56 AM?\nAnswer: 9:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -469 + 1411\/3. Let o(s) be the third derivative of -5\/8*s**4 + 0*s - d*s**3 + 0 - 5*s**2. What is the derivative of o(i) wrt i?\nAnswer: -15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 192497 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/(-1) + (-113 - -126).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (5 - 1) + -5 - (-1 - -4). Sort n, -5, -0.3, 100 in descending order.\nAnswer: 100, -0.3, n, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 2\/45 of a day?\nAnswer: 64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1887, -651, 577, 1797, 3009?\n\"Answer: -4*j**2 + 1248*j - 3131","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4106 * 3.\nAnswer: -1.2318","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44 = -69*y + 58*y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 123377872 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -5*i + 54. Calculate j(11).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 5*b = 20, -6*d + 3*d - 4*b = 35. Let k(m) = m**3 - 3*m**2 - m - 1. Let c be k(2). Which is smaller: c or d?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1331 + -376. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from duuuuuuduuu. Give prob of sequence du.\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -569082 by -284541.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (8\/260)\/(2\/(-20)). Suppose -1 = 4*w - 5. Which is smaller: t or w?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 15 = -3. Suppose 2*n - 4*d = -x, 3*n + 4 = -d + 12. Let z(w) = 5*w**2 - 4. Let c be z(n). Solve 0 = 3*j + j - c for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0112485 rounded to 4 decimal places?\nAnswer: -0.0112","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 788395?\nAnswer: 5, 157679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 14 - 8. Let q(n) = n - 3. Let f be q(d). Let z = 5 - f. Solve -z = -u + 2 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j - 174*a + 170*a = -52, 508 = 24*j - 10*a for j.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:19 AM and 12:38 AM?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -129 + 132. Suppose 18 = 3*w + a*k - k, -5*w = -3*k - 30. Sort 1, 11, w.\nAnswer: 1, w, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -110 + 76. Let o = y + 67. Let u be (121\/(-55))\/(2\/(-10)). What is the highest common factor of u and o?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2*(0 + 1\/6). Let k = 15.2 + -15.92. Let r = 1.72 + k. Do r and v have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*-5*((sqrt(275) + 3 - (((sqrt(66)\/sqrt(6) - sqrt(11)) + 2)**2 + sqrt(11))) + 2*(-3*(sqrt(539) - -2*sqrt(539))**2 + sqrt(539))).\nAnswer: -582140 + 360*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-4)*g*g\/((g\/((g\/(g\/((g\/g**(2\/5)*g)\/g))*g)\/g))\/g)*g*g)**(-1\/39) assuming g is positive.\nAnswer: g**(-1\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 813.968765 rounded to one decimal place?\nAnswer: 814","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c**3 + 15*c**2 + 5. Let y be u(15). Suppose -2*l = -y*r, -3*r - l - 14 + 3 = 0. Let n be 2 + (-1 - r) + -1753. What is n rounded to the nearest 100?\nAnswer: -1800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3*(-5)\/510)\/1*8\/2.\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -15 times 69\nAnswer: -1035","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 127*b*r**2*v**2 + 5*b*r**2*v + b + 161*r*v**2 - 9*v**2 wrt r?\nAnswer: 254*b*v**2 + 10*b*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4407.15 - 0.08884783.\nAnswer: -4407.23884783","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 3*r**3 + 15*r**2 + 27*r + 9. Let m(g) = -g**3 - 8*g**2 - 13*g - 4. Let j(u) = -2*k(u) - 5*m(u). List the prime factors of j(11).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5625 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -58 - -278. Suppose -4*x = -5*g + 69, g - 87 = 4*x + 2*g. Let a = -1 - x. Calculate the highest common factor of j and a.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*w**2 - w**4 - 4*w**2 + (7 - 2*w**2 - 7)*(-1 - 2*w**2 + 1) + 0*w**2 - 2*w**4 + 0*w**2.\nAnswer: w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Add -40747573 and 0.5.\nAnswer: -40747572.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 0, -6304 in decreasing order.\nAnswer: 1, 0, -6304","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14206 = -2*y + 2436. Let s = 35437\/6 + y. What is the common denominator of s and 6\/(-21) - 530\/154?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 64230000 to the nearest one million.\nAnswer: 64000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -2 + -1 + 31\/2. Let q = -168799\/13762 + -90\/983. Let n = q + l. Which is the smallest value? (a) -4 (b) 5 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3835*x + 5234*x - 193062 = 0 for x.\nAnswer: 138","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 19818262 a multiple of 602?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*m + 3*m**4 - 3*m - 6*m**2 - 2 - m as z*m**3 + g + y*m**2 + l*m + d*m**4 and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.68 * -0.5.\nAnswer: 0.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.005412 plus -1.01?\nAnswer: -1.004588","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 232*k = -32*k - 65*k + 6251 for k.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-3\/10)*c*c)\/(c\/(c\/(c\/(c*c**(-10\/7)*c*c)*c))))\/(((((c\/c**(-4\/13)*c)\/c)\/c)\/c*c)\/c*c\/c**17) assuming c is positive.\nAnswer: c**(16347\/910)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = 2*z + 2*j + 19, 0 = -2*z + 3*j + 21. Suppose -3*l + 4*u = -32, 2*l + l - 2*u - 34 = 0. Solve -m - z*m = l for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:42 AM and 1:50 PM?\nAnswer: 488","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 6*k**2 - 9*k - 5. Let r = -160 - -171. Is g(r) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the second derivative of 0*i**2 + 0*i**3 + 3*i - 1\/4*i**4 + 0. Let c(h) = 2*h**2 - 6*h. Let r(l) = l. Let j(u) = c(u) + 6*r(u). Calculate j(x(a)).\nAnswer: 18*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 342.7 * 29.\nAnswer: 9938.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v**3 + 277*v**2 + 1902*v + 3239. Calculate y(-270).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1150.9157 rounded to the nearest integer?\nAnswer: 1151","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: ((-276)\/(-1426))\/((-720)\/(-60))\nAnswer: 1\/62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5710, 11339, 16964, 22579, 28178, 33755?\nAnswer: 39304","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -104 (base 5) to base 13.\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = c + 50. Does 9 divide b(-23)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 872?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2 - -52c?\nAnswer: 531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/7 of a week in hours?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:02 AM and 11:57 AM?\nAnswer: 295","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 49517 a multiple of 108?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14926*o + 103506 = -13599*o for o.\nAnswer: 78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 28824697 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -77 + 76.19. Let n = -0.01 - z. What is n rounded to one dp?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/(-1*(-2)\/(-4)). Let c be (-4)\/((-24)\/(-15) + k). Calculate the greatest common divisor of 4 and c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1 + 5 + (2 - 1). Suppose -r = -d*r - 5*u + 36, -2*r + 2*u + 18 = 0. What is the highest common divisor of 45 and r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-296)\/259)\/((2 - 15\/3)*12\/28).\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1216912322*d + 1237628138.\nAnswer: -1216912322","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the third derivative of m**5\/12 - m**3\/6 + m**2. Let c be q(-1). Suppose -8 = -5*v + c*v. List the prime factors of v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 85 + 7. Is j*(-4)\/(32\/(-10)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the first derivative of -4 - 1\/4*c**4 + 2*c + 4\/3*c**3 + 2*c**2. Suppose w = 2*u + 4*w + 2, -5*w = 4*u. Give i(u).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 211094.31 months?\nAnswer: 17591.1925","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 3*j - 19 = 47, 66 = f + j. Round f to the nearest ten.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-i + 5*i - 2*i)*(-3*i + 0*i + 2*i) + 3*i**2 - 3*i**2 - i**2.\nAnswer: -3*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -152 + 167. Let v(c) = c**3 + 3*c**2 + c. Let f be v(-2). Suppose -j = -f*m - m. Solve 0 = m*p - 0*p - 15 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/65*4)\/((-2)\/(-5)).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 105 = 4*h, -3*h + 3*q = -5*h - 57. Let k = h - -41. What are the prime factors of k?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (760 + -2)*12\/24. Let q = -379 + o. Factor -1\/2*n**4 + 0*n + 1\/8*n**5 + q + 0*n**2 + 1\/2*n**3.\nAnswer: n**3*(n - 2)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) 75 (b) 68 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -3153 minus 1908103?\nAnswer: -1911256","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 50.02 to the nearest integer.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 10*l**3 - 5*l**2 + 43*l - 5. Let i(j) = 28*j**3 - 14*j**2 + 122*j - 14. Let v(p) = 6*i(p) - 17*o(p). Give v(2).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 37310 - 25371*n - 74622 + 37312 in the form g + f*n and give f.\nAnswer: -25371","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 3357, 13437, 30251, 53811, 84129?\n\"Answer: 2*g**3 + 3355*g**2 + g - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1738746?\nAnswer: 2, 3, 10733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/n**8)\/n*n\/(n*n*n*n\/n**15*n))\/(n*n**(1\/2)*n**5) assuming n is positive.\nAnswer: n**(-7\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -987*d - 448*d + 62*d as o + y*d and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -271*h**2. Let c(w) = 5899*w. Calculate b(c(a)).\nAnswer: -9430312471*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 17 + -13. Which is the second biggest value? (a) 2\/13 (b) 0.2 (c) n (d) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**(-5\/6)*z)**(-1\/17) assuming z is positive.\nAnswer: z**(-7\/102)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 76*x - 730. Let s be k(10). Solve -y - 31*g = -s*g + 1, -20 = -4*y + 4*g for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/10, 45\/2884, -0.5?\nAnswer: 45\/2884","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -38 + 23. Let m be (-168320)\/(-6)*p\/8*-4. Suppose 14*x - m = 6*x. Round x to the nearest 10000.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -184*l**2. Let v(s) = 35346*s**2. Determine o(v(h)).\nAnswer: -229878507744*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -612 divided by -153\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -3065 - 27596453?\nAnswer: -27599518","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 7, c: 9, m: 2}. What is prob of picking 1 t and 1 c?\nAnswer: 7\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*c**3 + 3*c**3 - 2*c**3 + (-c**3 - 3*c**3 + 3*c**3)*(-2 - 2 + 5) - 29*c**2 + 4*c**3 + 29*c**2.\nAnswer: 2*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -346*d + 686*d + m = 344*d - 67, -97 = -4*d - 5*m for d.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-20)\/(-35) - 3\/(-7))*-1. Put -3, -566, l in ascending order.\nAnswer: -566, -3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*g**2 - 6*g - 12*g + 3117*g**3 - g**4 + g**2 - 3130*g**3 in the form b + a*g + z*g**4 + q*g**2 + o*g**3 and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is t in 3*t**2 + 213*t + 804 = 0?\nAnswer: -67, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -13222 (base 4) to base 15\nAnswer: -22a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 88 = -5*c, 3*c = -c - 4*z - 72. Let k = 103 - 67. Let a = c + k. What is the greatest common divisor of 220 and a?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 2*s - 3*s**2 + 8*s**2 - 3*s**2. List the prime factors of n(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 9*a**2 - 7*a + 16. Let n be t(5). Suppose -n = -5*o + 879. Let z = -96 + o. What is the hundreds digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m**2 + 10*m + 11. Let s be r(8). Let y be 166\/18 - 8\/36. Suppose 29 + y*t**2 - t + 10*t - s = 0. What is t?\nAnswer: -2\/3, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -12*s**3 + 9*s**2 - 12*s + 9. Let d(q) = -3*q**3 + 2*q**2 - 3*q + 2. Let l(z) = -9*d(z) + 2*h(z). What is the second derivative of l(t) wrt t?\nAnswer: 18*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 620 and 316510.\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:21 AM and 6:33 PM?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 9*d**2*r**5 + 7947799*d**2*r**3 + 2214*d**2*r**2 + 2*d**2 - 120*d*r - r + 1 wrt r.\nAnswer: 540*d**2*r**2 + 47686794*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-2\/5)\/t)\/t*t**(-5))**5\/((t**(-1))**(-38)*t\/(t**(1\/5)*t*t)*t*t*(t*t**(1\/3))\/t) assuming t is positive.\nAnswer: t**(-1142\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + sqrt(17)*1 - (sqrt(17) + -2*sqrt(1088)).\nAnswer: 3 + 16*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 66 and 141042?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1203437 plus -4300.62926?\nAnswer: 1199136.37074","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 40202025911 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 280\/175 + 6\/(-10). Which is greater: 4 or j?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*j - 20*j = -15*j - 104 for j.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 292 - 142. Let x(l) = 16 - 7*l**2 - 28 - 27 + i*l**2. Let u(v) = -18*v**2 + 5. Let m(o) = -39*u(o) - 5*x(o). Let p(z) = 2*z. What is m(p(c))?\nAnswer: -52*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, 232, -2, 6, 2 in increasing order.\nAnswer: -11, -2, 2, 6, 232","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j. Let x(f) = -7*f - 5. Let u(s) = -5*n(s) - x(s). Is u(16) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 166293 and 171.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 4*i**3 + 3 - 5)*(2 + 0 - 4).\nAnswer: -8*i**3 - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 1\/((-4)\/(-12)*(8\/(-6))\/(26\/(-39)))\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 547 + 2772. What is the hundreds digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -11.5 (b) 0 (c) -0.162\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*j**4 - 5*j**3 - 980*j**2 - 2155*j + 600 = 0. What is j?\nAnswer: -5, -3, 1\/4, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 137\/9 + (-6)\/27. Suppose i - 4*i - 2*z + 4 = 0, 5*i - 6 = -3*z. Let a = -4 + 7. Solve -a*d = -i*d + u for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = z + 2*r, 0 = -4*z - 4*r + 38 - 14. Suppose -1 - 1 = -3*l - 2*q, 5*l + 5*q = 0. What is the remainder when 1090\/45 - l\/z is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -869*n + 159902. What is k(184)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(130) + 2*-1*sqrt(130))\/(sqrt(500)\/sqrt(2) - sqrt(10)).\nAnswer: -sqrt(13)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c**2 + 4*c + 50. Let h be k(-7). Let u = 75 - h. Solve 0 = -7*y - u - 3 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (19 - (37 + -14)) + (-21 - (-4 + 7))?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/7 (b) 0.26 (c) 12 (d) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrrrrxxrxrr. What is prob of picking 3 x and 1 r?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 24554689 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l and 2 p when four letters picked without replacement from {l: 2, p: 2}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 256312 (base 8) to base 15\nAnswer: 1b6ca","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 97655 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7228155 centuries to months.\nAnswer: 867.3786","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 q when two letters picked without replacement from {c: 8, q: 1, o: 8}?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that 4*x**5 + 248724*x**4 + 497421*x**3 - 684002*x**2 - 2051925*x - 1119222 = 0.\nAnswer: -62179, -3\/2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-9)\/(-12)*-1*4. Let i = 3 + q. Let p = i + 2. Calculate the remainder when 5 is divided by p.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express o**3 + 9*o**4 + 3*o**2 - 9 + 10 - 4*o**2 in the form f*o + y + q*o**4 + a*o**3 + d*o**2 and give q.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 75154322 a multiple of 42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1708683829.\nAnswer: 1708683829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/4 - (-95)\/20. Let i be (6\/38)\/(14\/((-280)\/(-30))). What is the third biggest value in 4, j, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 3\/4, -2\/17, 5, 4?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 371 + -211. What is x rounded to the nearest 100?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10427, -10376, -10325, -10274, -10223?\nAnswer: -10172","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -17 + 19. Let o be (h - 5)\/(-12)*16. Solve -a = o*a + 20 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*t**2 + 690 - 17*t**2 - 3148.\nAnswer: -37*t**2 - 2458","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:25 AM and 7:53 PM?\nAnswer: 508","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 225 = z + 3*i - 4*i, -4 = 2*i. Let t(h) = h**3 - 69*h**2 + 62*h + 411. Let l be t(68). Suppose -z = -3*x - l*s + 587, 5*x = -3*s + 1358. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/6, -1, 0, -89, -0.1 in decreasing order.\nAnswer: 0, -0.1, -1\/6, -1, -89","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 5\/7 or -2.3?\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 108570363 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1 (b) 0.04 (c) 342978\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 q when two letters picked without replacement from nesenqekzenqsee?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:43 AM and 10:17 AM?\nAnswer: 454","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 6*y - 209. Give j(34).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (14\/3)\/(12\/18). Suppose 0*u + q = u. Calculate the remainder when 11 is divided by u.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = 5*f - 6. Suppose 6*y = 3*y + f. Suppose -3*r = -2*d - y*d - 21, -5*d = 15. Solve 2*z - 14 = 4*n, r*z = 3*n + n + 11 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r when two letters picked without replacement from rzrrzrrrrz.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 474955 = -2*o - 342225, -4*y + 4*o + 817188 = 0. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -12 + 17. Suppose 0 = v + 4, -d + 3*v = -0*v - n. Let i(o) = -o**2 - 8*o + 2. Let f be i(d). What is the greatest common factor of f and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 68 - 12 + 20 - 3*k**2 wrt k?\nAnswer: -6*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 103.4 + 130.6. Which is smaller: 0 or b?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*o = 78*o + 50*o + 1236 + 2070 for o.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((-2 + -1 + sqrt(99))*5 + (sqrt(99) + -1 + 0)**2 + (sqrt(99) + -1)*6).\nAnswer: 316 + 108*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 52 + -146. Let y = -94.001312 - n. Round y to four dps.\nAnswer: -0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 6609 and -600.\nAnswer: -3965400","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let -k**4\/4 + 7*k**3\/4 + 5*k**2\/2 - 4*k = 0. Calculate k.\nAnswer: -2, 0, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 28479294 divided by 2\nAnswer: 14239647","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 40018143.\nAnswer: 3, 11, 1212671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 6\/10 + 756\/(-35) + -4. Which is bigger: m or -24?\nAnswer: -24","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 35*w**2. Let n(k) = -41*k**2. What is y(n(a))?\nAnswer: 58835*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 4 = 0, -4*w - w + 8 = s. Solve -2*g + 0 = 2*v + 4, 0 = -w*g + 4*v - 22 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7068 by -3.\nAnswer: 2356","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bgd when three letters picked without replacement from {h: 1, g: 1, b: 1, d: 1, m: 1}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 19156.8 (b) -0.4 (c) 1 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((x*x\/(x**3*x))\/(x\/(x\/x**(2\/9))*x))\/(((x\/((x**(2\/23)*x)\/x)*x)\/x)\/(x*x**7*x)))**(-9))**(3\/41) assuming x is positive.\nAnswer: x**(-3021\/943)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -401, -1626, -3665, -6512, -10161?\nAnswer: -14606","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the third derivative of -o**4\/24 + 11*o**3\/6 + o**2. Suppose 0 = 110*f + 468*f - 4046. Give l(f).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1*-1*(-1 - -2). Let o = 5 + y. Suppose o = -w + 9. Solve 2*n - w = -9 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:53 PM and 4:28 PM?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 95\/2156 and -43\/3297980.\nAnswer: 253944460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 220\/3*u + 72 + 4\/3*u**2 = 0 for u.\nAnswer: -54, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = -r. Let d be (-130)\/1495 + ((-8)\/(-46))\/(3\/1968). Suppose r = -t + 5*i + d, -t + 0*t + 116 = -3*i. What are the prime factors of t?\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) -3\/7 (b) 0 (c) 5 (d) 3 (e) -16.06 (f) -2\/203 (g) -3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*z - 6198 - 3729. Let p be (-2)\/10 + z\/5. Is (1 - -1)\/((-4)\/p) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -271, -465\/2, -81?\nAnswer: -271","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1491 and 399?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Total of 18.7 and -377842121.\nAnswer: -377842102.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkkvkvkkkkkvkvkkvkk. Give prob of sequence kv.\nAnswer: 35\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -2044, -2046, -2048, -2050, -2052, -2054?\n\"Answer: -2*r - 2042","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1819, 8121, 18631, 33349, 52275?\nAnswer: 75409","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*h + 36 = -18*h. Let j be 27*h\/24 + 1\/2. Let p = 11 + -7. Solve 0 = -j*a, -5*a - p = -2*d - 0 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -144.2 + 144.44. Which is the second biggest value? (a) q (b) 3 (c) -9 (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l**3 - l. Let b be s(0). Suppose 0 = -5*z - 46*z. Find j, given that z*j + b + 1\/7*j**2 = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -2*l + 3. Let y(p) = 3*p - 7. Let r(x) = 5*n(x) + 2*y(x). Let h be r(-2). Let i = h - 1. Solve 3*t = -i - 1 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**4\/4 + 5*y**3\/4 - y**2\/4 - 5*y\/4.\nAnswer: y*(y - 1)*(y + 1)*(y + 5)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in eighteen fifths of a millennium?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1391.037456 plus -2.695?\nAnswer: -1393.732456","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.11 * -800896.\nAnswer: -88098.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5.5 + -5. Let r = -67.04 + 66. Let o = -0.04 - r. Which is the closest to 0.1? (a) j (b) 0.1 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 16689?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10727 = 5*v - 2*s, 0 = v + 12*s - 10*s - 2143. Suppose -428*t + 425*t = -v. What is the hundreds digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 196 + 3?\nAnswer: 199","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m**2 - 7*m + 1. Let c be l(-7). Let s be (-1 + (-8)\/(-2))\/c. What is the derivative of 3*u**3 - u**s + 3 - 3*u**3 wrt u?\nAnswer: -3*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8 - (3 + -2) - (-40 - -20)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 931906 divided by -2?\nAnswer: -465953","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.2674 rounded to one dp?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**3 - 154184*o - 14*o**2 + 154184*o.\nAnswer: -o**2*(o + 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15839639 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = 2*b - 0*b. Calculate the remainder when 49 is divided by b.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/(-4)*2\/5*2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange j**4 + 3*j**4 - j**2 + 2*j**4 - 45*j - 3 + 0*j**2 + 42*j to v*j**4 + h*j**2 + c*j + m*j**3 + f and give v.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 252\/(-189)*(-10)\/(-3)*(-18)\/(-48).\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1975 and 132.\nAnswer: -1843","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = -5 + 1. Let h(l) = l**3 + k - 3*l + l**3 - l**3. Let o be h(2). Solve 5 = 5*v + 3*n, -2*n = -o*v - 0*n + 22 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15412264 divided by 2?\nAnswer: 7706132","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 18984495529 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 806763 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -72*a + 140*a - 73*a.\nAnswer: -5*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.4 - -0.14. Let r = -0.259972 - s. What is r rounded to 5 dps?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-3 - -6)\/((-1)\/(-21)) is divided by 22?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1487.266 take away -4?\nAnswer: -1483.266","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 141*l + 13. Let b(x) = -425*x - 38. Calculate -6*b(u) - 17*p(u).\nAnswer: 153*u + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 43 * 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5 + 5.3. Let u = 0.7 + c. Let x = 2 + 1. Sort x, 4\/3, u.\nAnswer: u, 4\/3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 869922369 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 120089 and 275326.\nAnswer: 2929","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1 + 1 + 7*(-2)\/(-7). Solve d - j*d = -3*h - 2, -20 = 4*d + 2*h for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 30*x**2 - 5*x**2 + 6*x - 7*x**2 + 12*x**2 in the form l + k*x**2 + j*x and give k.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -78, 3\/2, -5 in descending order.\nAnswer: 3\/2, -5, -78","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3.4 + 3. Let k = 132482 + -132485. Which is the fourth biggest value? (a) r (b) -5\/2 (c) k (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qggcgmgqi. What is prob of sequence mig?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 20378, 40710, 61008, 81278, 101526, 121758, 141980?\n\"Answer: h**3 - 23*h**2 + 20394*h + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 10, a: 9}. Give prob of picking 3 w.\nAnswer: 40\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*k, 29 + 31 = 4*m + 4*k. Calculate the lowest common multiple of m and 9.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2 + 0)\/(-2) + 22. Calculate the greatest common factor of o and 189.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve c = -8*a - 13, -3818 = -5*a - 3833 for c.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1225.23048 + 1204.2304166. Let w = a - -21. What is w rounded to five decimal places?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4.981 + -1.\nAnswer: 3.981","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 468049 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28*t + 46*t - 25*t.\nAnswer: -7*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2696 + -1413. What is the hundreds digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -23*c*n**2 - 789*c*n - 2*c - 148065*n**2 wrt c?\nAnswer: -23*n**2 - 789*n - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 21 divided by -47202806\nAnswer: -3\/6743258","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q**2 + 4*q - 3. Let p be (-48)\/(-28) - 18\/(-63). What is the remainder when 41 is divided by w(p)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + -112510.\nAnswer: -112507","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*y**2\/11 + 56*y\/11 - 54\/11.\nAnswer: -2*(y - 27)*(y - 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (0 + -6 - -5) + 2 + 0\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -478, -1089, -1014, 557, 4434?\nAnswer: 11427","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -13\/6 in -1\/3, -233, -5.96?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 792 = -2*a. Let q be 4*(-3)\/(-6) + a. What is the common denominator of (-6)\/(-8)*q\/(-27) and 149\/6?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 22607, 22958, 23309, 23660, 24011?\n\"Answer: 351*d + 22256","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - -6) + (2 - 6).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -604629578324 take away 221?\nAnswer: -604629578545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:12 AM and 11:21 AM?\nAnswer: 669","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 253044202?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -36*((-40)\/144 - 2\/9). Suppose -3*h = 4*y - o, -5*h + h = 8. Solve -13 = -5*x - a, 2*a = -0*a + y for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5856093 a multiple of 393?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aleddedaldld. Give prob of picking 2 d and 1 l.\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -10*l - 25. Let c be 1 - 3\/(-6)*0. Let t = 5 - c. What is the remainder when f(-4) is divided by t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 730342 - 730342 + 31*a**2 - 13*a**2.\nAnswer: 18*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 4449 to the power of 1\/3, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 12052460?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -382*l**4*v + 13*l**3*v - 580*v + 7 wrt l.\nAnswer: -1528*l**3*v + 39*l**2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -80*0.2967\nAnswer: -23.736","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 36959*y**2 - 53454*y.\nAnswer: 73918","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -120600 to the nearest 10000.\nAnswer: -120000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 177 + -210.8. Let p = 60 + -26. Let j = g + p. Which is the second biggest value? (a) 4\/9 (b) j (c) 0.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 18403140 and 50950?\nAnswer: 92015700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 65025949 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 175 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s - 30*p = 38*p - 69*p + 90, 36 = -2*s - 3*p for s.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-123)\/(-3) + (-25187)\/566?\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -142 - -18014\/127. Let t = -6290\/381 + x. Let k = 2040 + -18320\/9. Calculate the common denominator of k and t.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the third derivative of j**5\/60 - 4*j**2 - 2. Suppose t(o) = 0. Calculate o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:24 PM and 8:40 PM?\nAnswer: 496","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -482.583 + -0.417. Let f = m + 427.02. Let g = -57 - f. What is g rounded to one decimal place?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -8 + 3\/((-9)\/(-15)). Let g be (-27 - z)\/(3\/(-2)). List the prime factors of (g\/6)\/((-26)\/(-273)).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v**3 - 5*v**2 + 3*v + 4. Let t be u(3). Let n(k) = -9*k - 2. Let z(x) = 13*x + 3. Let b = 6 + -13. Calculate b*n(r) + t*z(r).\nAnswer: -2*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -31\/6080 and 39\/160?\nAnswer: 6080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -5\/4, 6, 1, -0.1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 6911, 13918, 20925, 27932?\n\"Answer: 7007*o - 96","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f**3 + 1. Let n be g(-1). Let i(u) = -u**3 - u + 14. Let q be i(n). Is q bigger than 15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 759?\nAnswer: 3, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 532084 and 5425?\nAnswer: 217","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uu when two letters picked without replacement from {i: 5, u: 5}.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7 + 5. Let b = -2 - c. Suppose -12 = -3*h - b. Solve 2*o = -h, 4*o + 7 = 2*u - 11 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*q**3 - 15*q**3 + 38*q - 27*q**3 + 72*q**3.\nAnswer: 7*q**3 + 38*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7293 and 12597?\nAnswer: 663","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 747969*o**2 + 747930*o**2 - 1495987*o**2.\nAnswer: -88*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that t**5\/4 - 4725*t**4\/4 + 1970099*t**3\/4 - 214497675*t**2\/4 - 54118125*t = 0.\nAnswer: -1, 0, 225, 4276","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -2848987*n = -2848999*n + 48. Suppose -2*c - y + 27 = 0, -y - 13 = -4*c + 32. Solve -t - c = -n*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -1 - 1 + m**2 + 4*m + m**2 + 0*m**2. Let n = 1 - 0. Suppose -3*r - 5 - n = 0. Let p(t) = -t**2 - 3*t + 2. Determine r*k(u) - 3*p(u).\nAnswer: -u**2 + u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -18, -17, -12, -3, 10?\n\"Answer: 2*c**2 - 5*c - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is d9604 + -1e7?\nAnswer: d941d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Total of 224694971569 and -40.\nAnswer: 224694971529","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 24 + -27. Let q(h) = -5*h - 5. Does 10 divide q(l)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 37*u**3 + u**5 + 15*u**4 + 986 - 383 - 38*u - 459 - 159*u**2 = 0. Calculate u.\nAnswer: -9, -8, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1321817 to the power of 1\/7, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 139b64 (base 16) to base 5\nAnswer: 312104324","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 19631 = -d, 9*d = -5*k + 14*d + 24520. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*q - 8 = 4*q. Find the third derivative of -b**q - 8*b**6 + 5*b**6 - 266*b**2 + 438*b**2 wrt b.\nAnswer: -360*b**3 - 24*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10 - 19) + 21 + -1 + (38 - (-30 + 75))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 44 divide 8\/16 + -3 - (-253)\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9393801km to nanometers.\nAnswer: 939380100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**2)**(-9)\/(b**0)**(-18\/11) assuming b is positive.\nAnswer: b**(-18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 10044.69 + -32.9\nAnswer: 10011.79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(143)\/sqrt(176).\nAnswer: -2 + sqrt(13)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 8*n + n - 15*n)*(-21 + 5*n + 21)*(-7 + 3 + 2)*(2*n**2 + 10*n**2 - 8*n**2) in the form d*n**2 + c*n**4 + f + k*n + b*n**3 and give c.\nAnswer: 240","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 444 minutes before 10:21 PM?\nAnswer: 2:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the first derivative of 23*k**6\/6 - 15*k**3 + 35. What is the third derivative of u(v) wrt v?\nAnswer: 1380*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that -2\/5*z**2 + 1\/5*z**5 + 0 - 1\/5*z**3 + 0*z + 2\/5*z**4 = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 1, 800, 801, -69 in increasing order.\nAnswer: -69, -3, 1, 800, 801","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 195617 to the power of 1\/2, to the nearest integer?\nAnswer: 442","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9951 and 303131?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 66 = m, -2*t + 3*m - 18 - 22 = 0. Let k = -4 - t. List the prime factors of k.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by 50328.\nAnswer: -1\/50328","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n - 4*f = -20, 3*n - 4*f + 10 = -12 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*u**4\/5 - 2018*u**3 + 5044*u**2\/5.\nAnswer: 2*u**2*(u - 2522)*(2*u - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 2333200 to the nearest 100000.\nAnswer: 2300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.293434 rounded to two decimal places?\nAnswer: -0.29","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Do -11 and -2\/121035 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6074405, 6074429, 6074469, 6074525, 6074597?\nAnswer: 6074685","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1709*n**4*z - 66244*n**3*z - 652907*n**2*z + 176*n*z wrt n.\nAnswer: 41016*n*z - 397464*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Add -289.5 and 117590.\nAnswer: 117300.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) 0.2 (b) 3 (c) -3\/10 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.17, -10, 5, -0.1, 7.\nAnswer: -10, -0.1, 0.17, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 6 + 1 + 7 + -20\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -45988*i*o**6 - 39561*i*o**2 + 5*i*o - 28*i + 165*o**6 wrt o?\nAnswer: -5518560*i*o**3 + 19800*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 5574 or 3?\nAnswer: 5574","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1130409719 from 11.145.\nAnswer: -1130409707.855","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the second derivative of 2449*u**4\/6 + 9415*u**2\/2 + 6966*u. What is the derivative of d(w) wrt w?\nAnswer: 9796*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h + 13. Let f be r(-10). Suppose -a + f = 1. What is the third derivative of 0*i**a + 20*i**4 - 18*i**4 + 7*i**2 wrt i?\nAnswer: 48*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.4 (b) -0.2 (c) 1\/26 (d) 4 (e) -4 (f) 0.3259 (g) 4\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101010110000010110011 + 100?\nAnswer: 101010110000010110111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -834, -1000, -1166, -1332, -1498?\nAnswer: -1664","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 508 = 5*k, 3*a - 5*k - 98 - 248 = 0. Let w = a - 68. What is the greatest common divisor of w and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 2\/1515551?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let -12*b**3\/7 - 787468*b**2\/7 - 85953492*b\/7 - 4080524 = 0. Calculate b.\nAnswer: -65513, -109, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h - 2. Let d be f(-3). Let y(n) = n**2 + 2*n - 6. Let g(b) = 2*b**2 + 3*b - 13. Let r(w) = -2*g(w) + 5*y(w). What is the units digit of r(d)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.1 and -606052.\nAnswer: -606052.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 2*v = -2*d - 6, d - 12 = -5*v. List the prime factors of v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -68 = -5*v - 3*l, 5*v + 12 - 76 = -4*l for v.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -802803 less than or equal to -802804?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 2*z**3 + 5*z**2 + 2*z - 1. Let m be r(-3). Let h be 2\/8 - 44\/m. Let v(o) = -3*o + o**3 - 2*o**h - o**2 + 4*o + 3 + 2*o. Calculate v(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:33 PM and 9:40 PM?\nAnswer: 127","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 + 0. Suppose -5*x + 15 = 4*y + y, -2*x - 2 = 0. Let i be (y - 3)*1*4. Solve i*k + k - 5 = w for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4 - 2. Calculate the least common multiple of v\/(-14) + 90\/35 and 7.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 78 greater than 64?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.04 - 5730709864.\nAnswer: -5730709863.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 340 and 1190?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -514387 or -514479?\nAnswer: -514387","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -11*p - 2. Let n be l(-1). Let q = -14.58 + 14.64. Put n, q, 2 in ascending order.\nAnswer: q, 2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 841a4 (base 16) to base 2\nAnswer: 10000100000110100100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12 (base 6) to base 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -108*u + 235234 + 949958. What is the ten thousands digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 72 + -47. Let c = 25.5 - d. Let x = 0.02 - 0.1. Sort c, 5, x in decreasing order.\nAnswer: 5, c, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -109*v - 125*v + 716 = -1858 for v.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (0 - 1)*65\/(2 + 3). Let k(v) = -2*v**2 + 16*v + 15. Let g(w) = -3*w**2 + 15*w + 14. Let c(b) = 3*g(b) - 4*k(b). Is 15 a factor of c(i)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that -3*t**3\/8 + 945*t**2\/4 - 24021*t\/8 - 12957\/4 = 0.\nAnswer: -1, 14, 617","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*i - 2*i - i)*((0*i + 6*i - i)*(4 - 1 + 1) - 3*i + 0*i + i).\nAnswer: -18*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*w**2 - w**2 + 2*w**2)*(-6 + 6 + 4*w)*(1 + 2 + 3).\nAnswer: -24*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -42*3*(-4)\/36. Suppose -h = 4*u + 2. Let z(y) = -5*y + 2 - 4 + 4*y. What is z(u)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k**3 + 5*k**2 + 6*k - 1. Let c be u(6). Let s be (-6)\/(-3 + c + 2). Find the first derivative of -1 + 8*d**s - d**3 - 10*d**3 wrt d.\nAnswer: -9*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = 2*k, 2*v + 2*k - 4*k = 12. Let u be (-814)\/(-154) + v\/(-7). Suppose y = 4 - 1. Solve 5*t - y = o, 0*t - 4*o + 13 = u*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -3*(sqrt(65)\/((sqrt(60)\/sqrt(4))\/sqrt(3)) + sqrt(117) + sqrt(13) + -1 + (sqrt(13)*2 - sqrt(13)) + -5).\nAnswer: -18*sqrt(13) + 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 36896 and 108.\nAnswer: 996192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kvqqkkqkkrvkv. What is prob of sequence kv?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 13 + -8. Suppose -72 = -n*w + 28. Solve 4*j + 4*c + 16 = -0*j, 0 = -2*j + 5*c + w for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 minutes before 11:48 AM?\nAnswer: 11:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 89778935.\nAnswer: 5, 251, 71537","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -158499.505 times 4?\nAnswer: -633998.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3)\/(-12) - 11\/12. Let m be (0 + -2)*(5 + 75\/2). Let n = m - -79. Is b less than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -156*n**3 + n**2 - 2*n - 1. Calculate j(-1).\nAnswer: 158","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d when two letters picked without replacement from {d: 2, i: 1, a: 2, f: 1, x: 2, v: 1}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c**3 - 19*c**2 - 7. Suppose -5*j + 2*d = -19, -4*j = -j - 3*d - 6. Let a(k) = k**3 - 13*k**2 - 5. Determine j*q(y) - 7*a(y).\nAnswer: -2*y**3 - 4*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t**3 + 8*t + 36. Let i be f(0). What is the highest common factor of i and 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 + 14 = b. Let i = -59 + 110. Suppose -g = -3*g - 4, 3*x - i = 3*g. What is the remainder when b is divided by x?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((0\/5)\/1)\/1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 260 - 2*t**2 - 4*t**2 - 260 + t**2 + 0*t**2.\nAnswer: -5*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of (-60)\/(-50)*65\/26 and 1215?\nAnswer: 1215","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*j**2*p - 7*j**2*w - 2*j**2 - 1818*j*p**2*w + 117*j*p**2 - 3*p**2 - 359 with respect to w.\nAnswer: -7*j**2 - 1818*j*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*c + z = 6*c + 16, 191*z - 180*z - 14 = -c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.43 in -24\/85, 0.2, 3, -3, -5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2943\/6764 - -5\/356. Let w = 54808 + -54811. What is the biggest value in 0, w, z?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:42 PM and 1:52 PM?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2503 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the first derivative of r**6\/6 + 34*r**5\/5 + 66*r**4 + 3164. Suppose y(i) = 0. Calculate i.\nAnswer: -22, -12, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3666 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n + y + 2 = 4*y, 2*y = 4*n + 8 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 187078 divided by 1.\nAnswer: 187078","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 134056104 and 448.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(v*v\/(((v*v**7)\/v)\/v))*v)\/v)\/(v*v\/(v\/v**17)*v) assuming v is positive.\nAnswer: v**(-14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 58 + -66 - (2 + 0 - 6)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000137412741 to four decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1341333 (base 5) to base 7.\nAnswer: -143545","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7 + -5. Suppose 36 = f*v + 32. Solve -4*m - v = 3*w + 6, -3*m - 3*w = 9 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x + x - 2*k = 14, -3*x = k - 7. Suppose x*p - 18 = p. Let l(m) = -4*m**2 + 4. Let z(u) = -u**2 + 1. Calculate p*z(t) - l(t).\nAnswer: -2*t**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that 125\/6 - 1\/6*j**2 + 10\/3*j = 0.\nAnswer: -5, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14\/(-21)*(-9)\/16?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1650 and 66?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.3123, -4, 29.635?\nAnswer: 29.635","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2364775 by -35.\nAnswer: 67565","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (21\/(-2))\/(318\/(-212))\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -326 + 325. Let v(x) = -x + 4. Let c(y) = -y**2 + y - 3. Let k(b) = -6*c(b) - 5*v(b). Determine k(g).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -25*f**3 - 4*f**2 - 2*f. Let x be l(-2). Suppose -2*m + 92 = -x. Suppose -2*h + m = 2*h. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.5870966 to 4 decimal places.\nAnswer: 2.5871","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m**3 + 6*m**2 + 9*m - 11. Let a(x) = 1. Let p(w) = -2*a(w) - s(w). Let i be p(7). Let g(j) = -j**3 - 3*j**2 + 6*j - 6. Calculate g(i).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:25 AM and 8:08 AM?\nAnswer: 103","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 124 a factor of 160153596?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26194 is divided by 67?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*r - 11*r + 234 = 64 for r.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -66351.93 rounded to the nearest 10000?\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33*x + 29*x + 284*x.\nAnswer: 346*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1060 + 1065. Let z = 1 - -1. Suppose -q - z*a = 18026 + 4064, j*a = -5*q - 110475. Round q to the nearest one thousand.\nAnswer: -22000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 20640*p**3 - 2*p + 10. Let v be n(5). Round v to the nearest one hundred thousand.\nAnswer: 2600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 29, 75, 131, 197, 273, 359, 455?\nAnswer: 561","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2108 divided by -4?\nAnswer: -527","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z**2 - 5*z + 2. Suppose 6*d = 10 + 8. Suppose -2*o - 18 = -d*s, -21 = 4*o + 4*s - 5. What is x(o)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x**3 - 4*x**2 + x - 2. Let o be g(4). Solve -2*h + 2 - 1 = -m, -3*h - 2 = o*m for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -187694 - 77616 = 6315*i + 473545 for i.\nAnswer: -117","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8 and 42\/11 + 4\/22.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -25107640, -25107641, -25107642?\n\"Answer: -m - 25107639","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = k**2 - 3*k. Let x be f(3). Suppose -2 = -x*a - a. What is the second biggest value in a, 0, -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -64854, -64566, -64278, -63990, -63702?\nAnswer: -63414","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-13\/3)*c*c**(-2)*c*(c\/(c**(1\/28)*c))**35 assuming c is positive.\nAnswer: c**(-67\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5404 + 39063. What is the thousands digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n**3 + 4*n**2 + 8*n - 6. What is x(5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/p**(1\/2))\/(p**(2\/9)*p)*(p**(-1\/10)\/p)\/p**(-14))**(-28) assuming p is positive.\nAnswer: p**(-15344\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 409 + -409.1. Which is the fourth smallest value? (a) -1 (b) 1 (c) -0.4 (d) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14 + 25 - 15 - 24158*i**2 + 4 to the form u*i + c*i**2 + l and give c.\nAnswer: -24158","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-60)\/(1560\/(-299))*(-2)\/1.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 177344, 177291, 177212, 177101, 176952, 176759, 176516?\nAnswer: 176217","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-143)\/(-7) - 0) + (-843)\/1967?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5 and -3006822.1.\nAnswer: -15034110.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8 + 0. Suppose -3*u = -s - 7. Suppose -5*l = -u*f + 16 + 29, -f + 3*l = -19. Let g(i) = -2*i - 4. What is g(f)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 130 is divided by 41?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in eleven eighths of a minute?\nAnswer: 82500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-486)\/(-3969))\/(2\/(-14)))\/((-16)\/504).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by -182289\nAnswer: 1\/60763","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 2*j. Let a(g) = 135*g**2 - 4*g - 2. Let m(w) = 137*w**2 - 6*w - 3. Let r(s) = -3*a(s) + 2*m(s). Calculate r(o(f)).\nAnswer: -524*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 4140 rounded to the nearest 1000?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -16\/133789 and 9\/3707?\nAnswer: 1471679","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((-3*sqrt(1134) - 6*sqrt(14)*2)\/(sqrt(49)\/(-2*sqrt(7)) + sqrt(1008) + sqrt(1008)*3))**2.\nAnswer: 48672\/9025","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -40 - -38. Let b be (u\/(-5))\/((-14)\/(-1400)). Let i = 43 - b. Solve -i = v - 2 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -9? (a) 2\/5 (b) -5\/6 (c) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.647 and -0.23.\nAnswer: 0.417","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 320 minutes after 8:59 AM?\nAnswer: 2:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = 2*n - 292 + 106, -2*d + 2*n = -194. Let c = -4 + d. List the prime factors of (-4 + 1)\/((-7)\/c).\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 times -0.174?\nAnswer: -0.0348","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 7026\/39 + 2\/(-13). Calculate the greatest common divisor of 20 and j.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q**3 + q**2 + q + 5. Let u(l) be the first derivative of -l**3\/3 + 19*l**2\/2 + 73*l - 59. What is the remainder when u(22) is divided by o(0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -3*f + 3. Let r be y(-4). Let j be 80\/(-6)*(123\/(-12) + -1). What is the greatest common divisor of j and r?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(700)*2*6)**2 + (4*2*sqrt(49))\/((sqrt(21)*-1)\/sqrt(3)).\nAnswer: -8*sqrt(7) + 100796","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -21*u**2 + 22*u**2 - 16*u**2. Let c(l) = 11*l**2 - 7. Let r(p) = 8*p**2 - 5. Let t(j) = -5*c(j) + 7*r(j). What is t(x(f))?\nAnswer: 225*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 10298655 and 81?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*n + 31 = -11. Let y be (-4)\/n + 4\/3. Suppose -12 = 5*r - 42. Solve -2*b = -r - y for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s**2 + 16*s + 40. Suppose 0 = -j - 32 + 34. Let c be ((-46)\/(-4) + j)*(-8)\/(-6). Let v be p(c). Is v at most 5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a micrometer in nanometers?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*w - 2*w = -16*w + 1110 - 854 for w.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.17 + 0.37. Let o = 27 + -11. What is the closest to 1\/4 in j, o, 5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:58 AM and 3:21 PM?\nAnswer: 503","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 337 - 316. Solve -4*r = r - f + z, -5*f + 21 = -4*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -11 - -13. Suppose c*t - 5*t + 21 = 0. Suppose 9*x - 14 = t*x. Solve -x - 18 = -5*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 268817573.\nAnswer: 71, 1531, 2473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-60)\/3)\/5*2\/8.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + 5*(sqrt(425) + -5*(sqrt(425) + 0)))**2 - ((sqrt(425)*1 + 3 - (-1 + sqrt(425) + 2)) + 2)**2.\nAnswer: -200*sqrt(17) + 169985","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -219*h - 1. What is the lowest common multiple of d(-1) and 2?\nAnswer: 218","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 288803 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y**3 - 97*y**2 - 1589*y + 3878. What is u(111)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 921, -1807, -5, -3\/2, -2\/7, -4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -56 - (21 - (-29 + 61))\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 430168305?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5 - 2. Let m(v) = -2 - x*v - 2*v + 6*v - 2*v. What is the units digit of m(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -5 = -485\/132?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the third derivative of 0*m**6 + 0*m**5 + 1\/210*m**7 + 0*m**3 + 8*m**2 + 0*m + 1\/6*m**4 + 0. What is the second derivative of k(y) wrt y?\nAnswer: 12*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 988596 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r**3 - 4*r**2 - 5*r - 4. Let b(f) = -f - 1. Let p(m) = 4*b(m) - v(m). Let c be p(4). Solve 0 = g + 2*a - c, -4*g - 4*a = -0*a - 8 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -2 - f**2 + f**3 + f**2 + 4*f + 6*f**2. Let r be q(-5). Suppose 3*p - 5 = -o, 38 + 1 = 3*o - r*p. What is the units digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 197014 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 898?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 85202 by 226.\nAnswer: 377","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 3369 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 14754.435 months?\nAnswer: 12.2953625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 777468.\nAnswer: 2, 3, 67, 967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1315640 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 16\/15 + (-16)\/24. Let y = -12.8 - 2.2. Let w = -15.2 - y. Which is the third smallest value? (a) -4 (b) l (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*2.28.\nAnswer: -6.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*w - 5*w + 4*w + (-2*w + 4*w - 6*w)*(1 - 2 - 2).\nAnswer: 7*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 + z**2 + 0 + z**2 + 0*z + 0*z + (-4*z**2 - z**2 + 4*z**2)*(1 - 1 - 2) - z**2 + 4*z**2 + 3*z**2 to w + j*z + u*z**2 and give u.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = -s - 135, -4*s = -7*s + 4*r - 389. Let f(v) = 4*v + 9. Let i be f(-22). Let z = i - s. Is z a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6*45\/108*36\/10.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(224)\/sqrt(28) + (sqrt(800)*-2 + sqrt(32))**2 + (sqrt(800) - sqrt(800)*-2) + 5 + 1 + 2.\nAnswer: 62*sqrt(2) + 2600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 50628371 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 6*o - 16*o + 116*o + 4*o.\nAnswer: 110*o - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 28878?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -19 - -75\/4. Sort h, 0, 1\/3 in decreasing order.\nAnswer: 1\/3, 0, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-30*13\/(-3900)*-10)\/((-4)\/(-172))\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 98 and 9947.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/(-5 + 4) + 4. Let r be 1 + -4 + 1 - -6. Differentiate 7*y**3 + r*y - 5 - j*y + y with respect to y.\nAnswer: 21*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.07872718069 - 106?\nAnswer: -106.07872718069","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x**3 + 10*x**2 + 9*x + 4. Let m be (75\/10 + -3)\/((-4)\/8). Give l(m).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4095188, 8190248, 12285298, 16380332, 20475344, 24570328?\nAnswer: 28665278","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 904522397?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that 6937*v**2\/2 + 606*v - 110 = 0.\nAnswer: -2\/7, 110\/991","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 5 - 2)*((0 + 3 - 2)*(5*j**2 - 5*j**2 - 8*j**2) + (-2 - 3 + 4)*(2*j**2 - 3*j + 3*j)) to q*j**2 + o*j + g and give q.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that 4*h**3 + 1592*h**2 + 47872*h + 374784 = 0.\nAnswer: -366, -16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the first derivative of -605*q**4\/16 + 1205*q**3\/6 + 3065*q**2\/8 + 25*q\/2 - 2195. Find b such that c(b) = 0.\nAnswer: -1, -2\/121, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 + 1 - 3)*(1716 - 861 - 7*u - 862) + (-3 + 5 + 0)*(0*u - u + 2*u) to the form y*u + o and give y.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -44617, -85991, -127365, -168739, -210113?\n\"Answer: -41374*x - 3243","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 1180 - -25.489\nAnswer: 1205.489","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-5\/2)*p**5\/p*p**(-30)\/p*p**(-30))**39 assuming p is positive.\nAnswer: p**(-4641\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*j**3*p**3 - 269*j**3*p**2 - 9*j**3*p - 6*j*p - 2*p wrt p.\nAnswer: -12*j**3*p - 538*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1610475 is divided by 19.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -11361000 to the nearest one hundred thousand.\nAnswer: -11400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 25694?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-46)\/((-6440)\/(-14)))\/((-4)\/2120)?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 15) to base 3\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4*120\/(-96))\/(-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 364149238?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 35, 42, 47, 50, 51?\n\"Answer: -t**2 + 10*t + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 x when two letters picked without replacement from {x: 2, f: 3, j: 2}?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 15*w + 13. Let v(g) = -2*g**2 - 4*g - 28. Let s be v(-7). Let z = s - -97. Let t be x(z). Let c(k) = -4*k**2 + k. Give c(t).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:58 PM and 12:28 AM?\nAnswer: 690","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(4900) - (sqrt(4900) - 4*sqrt(4900) - sqrt(4900)))*1)\/((-2*sqrt(448) - sqrt(448)) + sqrt(35)\/(sqrt(30)\/sqrt(6))).\nAnswer: 50*sqrt(7)\/23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -271.77 - -271.57. Which is the closest to 0? (a) 2\/11 (b) 2\/23 (c) m (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 550, 558, 556, 538, 498, 430, 328?\n\"Answer: -f**3 + f**2 + 12*f + 538","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m. Let f be (-6)\/(-10) - 2\/(-5). Let w(u) = -8*u + 1. Let g(x) = f*w(x) - 6*d(x). Suppose 5*l = 5*t - 35, -5*l + 2*t = -0*t + 20. Determine g(l).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m**3 + 15*m**2 - 13*m + 10. Let g be o(14). Suppose -3*i - g = -i. What is the tens digit of 7\/(28\/i) - -81?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than -1\/93221?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -142 + 10?\nAnswer: -132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*a + 14*a + 33. Let x = a + 91\/9. What is the common denominator of x and 38\/3?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 873 and 153.\nAnswer: 14841","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c when two letters picked without replacement from cccccccccc?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -205 + 205 - 22*a**3 + (0*a - 2*a + 5*a)*(-3*a**2 + 3*a**2 - 2*a**2).\nAnswer: -28*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -6160247 (base 9) in base 5?\nAnswer: -1320143031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is a in 3*a**4 + 36*a**3 + 51*a**2 - 90*a = 0?\nAnswer: -10, -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1619?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ewew when four letters picked without replacement from {w: 3, e: 13}?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**2)\/u)**14*u\/(u*u\/u**(2\/15))*u**(-6) assuming u is positive.\nAnswer: u**(317\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 227497072 and 88.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 690418 or -78?\nAnswer: 690418","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 32 - 104?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 918 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 689*o - 1. Let y be 1*7 + 14 + -12. Let v be p(y). Round v to the nearest 1000.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*a + 54 - 14 = 0. Solve -4*h = -4*v + a, -6*v - 2*h - 18 = -4*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-20)\/4 - 7*(-3 - -2) - -3?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -464 - -489. Solve -4*b + 20 = 5*y - h, -3*y + 10 = -b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -7 less than 1.264?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d*d*d**(-2\/65)))\/(d**15\/d) assuming d is positive.\nAnswer: d**(-973\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(-3)*27\/(-2) - -5.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ddq when three letters picked without replacement from {d: 3, q: 1}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 325 is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -154 > -5080\/33?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (23 - 24)\/(1\/(-3365)). Let p = 234 + q. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 283 minutes before 2:22 PM?\nAnswer: 9:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 8\/60 + (-24)\/(-495)\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 3*o - 11. Let b be q(13). Let h = b + -25. Suppose h = l - 0. Solve -6*c + l*c = 6 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b**2 + 2*b - 5. Let q be z(-4). Let o(x) = 2*x**2 + 7*x + 5. Let p(v) = 2*v**2 + 6*v + 4. Let g(a) = q*p(a) - 2*o(a). Let k = -5 - -2. What is g(k)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o**3 + 7*o**2 - 12*o + 4. Calculate the smallest common multiple of 110 and n(4).\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 15*j - 26. Let x(a) = 14*a - 25. Let m(v) = 5*r(v) - 6*x(v). Is m(-4) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1 + (-1)\/(4\/8). Let n(x) = 3*x. Let a(l) = -l + 1. Let r(t) = 3*t - 2. Let z(j) = -2*a(j) - r(j). Calculate u*n(s) - 8*z(s).\nAnswer: -s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1024.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/25 of a kilogram in grams?\nAnswer: 280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w - 2. Let a(b) = b**3 + 7*b**2 + 5*b - 3. Let s be a(-6). Suppose s*o + o + 12 = 0. What is g(o)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -46833*v + 46833*v + 13*v**2.\nAnswer: 13*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 7*v**3 - 7*v**2 + 2*v + 5. Let r(p) = 3*p**3 - 3*p**2 + p + 2. Suppose -5*n - 2 = -7*n + 4*f, -5*n + f - 22 = 0. What is n*r(b) + 2*h(b)?\nAnswer: -b**3 + b**2 - b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (32 - (29 - 9)) + -36 - -10 - (-1 - 23).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that -4*h**4 + 751976*h**3\/3 + 1002652*h**2\/3 + 250664*h\/3 = 0.\nAnswer: -1, -1\/3, 0, 62666","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 22080523 - 22080532.0351566. Let q = -38.0351624 - y. Let f = -29 - q. Round f to six decimal places.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n**3 + 93*n**2 - 7*n + 911. Let t be g(93). Calculate the greatest common divisor of t and 670.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*c + 16*c = q - 14 + 41, 4*q - 2*q + 0*q + 4 = 0 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 12*r**3 - 12*r**2 + 10*r + 6. Let o = -11067 + 11077. Let j(n) = -n**3 + n**2 - n - 1. Determine o*j(d) + z(d).\nAnswer: 2*d**3 - 2*d**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 42*z + 114. What is the thousands digit of p(31)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 16258754 - -31?\nAnswer: 16258785","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 300844903 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-6\/13)\/q**(1\/8)*q\/(q\/((q**(-1)\/q)\/q))*q\/(q\/(q\/q**(2\/33))))**12 assuming q is positive.\nAnswer: q**(-9085\/286)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -327444*t + 680. Let l be y(-30). What is l rounded to the nearest 1000000?\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 27784533*c**3 + 16166978.\nAnswer: 83353599*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/(-2)*3\/((-36)\/(-16))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:19 PM and 4:06 AM?\nAnswer: 647","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(17) + 1)**2*-4.\nAnswer: -212 - 48*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 72.37141239 to 3 decimal places.\nAnswer: 72.371","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 3760493 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add together -55 and -0.266.\nAnswer: -55.266","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1827 is divided by 29.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 212 and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 68887165 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.48, -25, -0.4 in decreasing order.\nAnswer: 0.48, -0.4, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 + 4. Suppose -p*h - 14 = -j, -4*j + 2*h = -2*j - 28. Determine c so that -j*c - 2*c**3 + 14*c = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -13\/34 + -2\/17. Suppose 12*i - 10*i + 14 = h, 4*h = -4*i - 4. Which is the closest to o? (a) 2\/7 (b) 3 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1875)\/(-297) - 6 - 1\/11. What is the second smallest value in 1, g, -2\/7, -155?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -152 = -4*i + 5*z - z, -5*z - 10 = 0. Is i a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/21, 0.1, -0.06516, 2.8, -3?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-2\/9)*z)**(3\/2) assuming z is positive.\nAnswer: z**(7\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the third derivative of u**5\/30 + 4*u**3\/3 - 16*u**2. Differentiate h(i) wrt i.\nAnswer: 4*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 14) to base 13.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 7\/6, -2\/5, -2, -0.11, -3\/2 in decreasing order.\nAnswer: 7\/6, -0.11, -2\/5, -3\/2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 738114 is divided by 12100?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 3*h - 15 = 0, -h + 5*h = -20. Suppose m = -7*c + 2*c + 630. Let d = 62 - 44. Calculate the highest common factor of c and d.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*s**2 + 2*s**2 + 25*s - 25*s.\nAnswer: -11*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*n = 32*n - 6 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 326*n**3 - 9*n**2 - 7*n - 11. Is x(7) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -234517 bigger than -3986764\/17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10 - 6*f**2 + 5*f**2 + 0*f**2)*(-2*f + f + 4*f).\nAnswer: -3*f**3 + 30*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7880 and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = a**2 + 1. Let l be g(-2). What is b in 8*b**l - 13*b**2 - 20*b**2 - 3*b**2 + 2*b**4 + 18*b**4 - 24*b**3 = 0?\nAnswer: -3, -1, 0, 3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 4, 7, 27, 1, -4 in decreasing order.\nAnswer: 27, 7, 4, 1, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -7046, -9251, -12940, -18119, -24794, -32971, -42656?\n\"Answer: -f**3 - 736*f**2 + 10*f - 6319","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 967, 1941, 2917, 3895, 4875?\n\"Answer: x**2 + 971*x - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -2361*g - 25478. Calculate x(-11).\nAnswer: 493","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = 7 + 4. Suppose 4*m + n + b = -9, 0 = -3*m + n - 22. Let t = m + 10. Solve -t*p = -p - 6 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 5*x - 15 - 50 = 0, -4*y = 5*x - 43. Let s = y + 6. What is the units digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 72640 and 172.\nAnswer: 3123520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 2, y: 5, u: 2}. Give prob of picking 1 y, 2 z, and 1 u.\nAnswer: 5\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4 - 1. Suppose c*f = 4*f + 3*h - 39, 4*h - 97 = -3*f. Suppose -l + d + 69 = 3*l, f = 2*l - 3*d. Solve -3*r = -6 + l for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 172448 and 13600.\nAnswer: 544","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 43315688 to the nearest integer?\nAnswer: 351","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:12 AM and 3:02 AM?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 188416 (base 9) to base 11\nAnswer: 80488","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 738*p - 16. Let i(j) = -246*j + 5. What is 7*i(k) + 2*w(k)?\nAnswer: -246*k + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1098237)\/(-526344) - (-6)\/(-13).\nAnswer: 13\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(55) - (sqrt(110)\/sqrt(2) - sqrt(55)))*-5 - (sqrt(55) + sqrt(385)\/sqrt(175)))\/(-4*(sqrt(110)*1*2)\/sqrt(10)).\nAnswer: 31*sqrt(5)\/40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -110 (base 2) to base 10.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 642877\/25 - 5024999\/300. Suppose 0 = 5*i + 4*a + 44758, -3*i + a - 20187 = 6678. Let j = i + s. What is the common denominator of j and -125\/18?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7904 and 3458?\nAnswer: 494","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the first derivative of 9\/2*h**2 + 1\/2*h**3 + 15\/2*h + 7. Determine g, given that d(g) = 0.\nAnswer: -5, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 13717000 to the nearest 1000000.\nAnswer: 14000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5 - 3. Let b = 0 - 2. Let t(n) = 2*n + 5. Let r be t(-5). Sort b, j, r.\nAnswer: r, b, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -41*l + 36*l + 5. Calculate the remainder when 61 is divided by 24\/l - (-8 + 5).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -14 + 20. Let c(j) = j - 3. Let p be c(i). What is the third biggest value in p, 2, 0.6?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k. Let y be (-4)\/(-14) - 20\/(-28). Let w be (y - (2 + -3))*-2. Give q(w).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m**2 - 10*m + 8. Let l be t(9). Let j(v) = -12*v - 2. Is 3 a factor of j(l)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-4 + (3*(1*sqrt(425))**2 - sqrt(425))) + sqrt(68)*1*-3 + (3 + sqrt(425) + -1)**2.\nAnswer: -11*sqrt(17) + 6784","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -34288710 divided by -187370.\nAnswer: 183","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-2)\/35)\/((-12)\/(-15)))\/(180\/180)?\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-165 + 51 + 85)*(-2 + 3*t + 2).\nAnswer: -87*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 839399008 a multiple of 1799?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5.297 - 1.297. Which is the nearest to -0.1? (a) -3\/5 (b) v (c) -2 (d) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 9*a + 4 - 5*a - 5*a + (4*a - 16 + 16)*(-2 - 4 + 1)*(1 + 5 - 3).\nAnswer: -61*a + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/1487928 and -101\/58401174?\nAnswer: 233604696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -111012111100 - 20101220?\nAnswer: -111102220020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -172308 = -2*u + 7*n, 89*u = 94*u - 5*n - 430695. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p**3 + 19*p**2 + 23*p - 66. Give z(20).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 220765?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t - 27*t = 62 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 33812*c**5 + 665*c - 3.\nAnswer: 676240*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the third derivative of -n**5\/90 - n**4\/18 - n**3\/9 + 5*n**2. Suppose t(q) = 0. Calculate q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9575.631l to millilitres.\nAnswer: 9575631","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 17 - 4)*(-d - 2*d + 5*d) to the form o*d + r and give o.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 173 times 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 28*y + 238 - 18*y + 8*y - 20*y + 104 to the form w*y + n and give n.\nAnswer: 342","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnknkquniq. Give prob of sequence niu.\nAnswer: 1\/180","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2416010388 to the nearest integer?\nAnswer: 1342","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-3)\/2)\/(3\/(-116)). Suppose -d*w + 53*w + 55 = 0. Suppose -9*m - 206 = -w*m. List the prime factors of m.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7521037?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-15) - (((-1002)\/90)\/(-1) + 3)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 - (-70 + (-9 - (-30 - -15))) - 0?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 3*u - 3*i + 6*i, -4*u + 5*i + 5 = 0. Suppose -1179 = -4*o - 3*w, -8*w + u = -3*w. Does 21 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s**3 - 18*s**2 + 16*s + 302. Suppose 3*u - u = 36. Calculate the lowest common multiple of u and v(-18).\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 5*x + 3051 = 111, 0 = 2*m - 5*x - 1470. What is the hundreds digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(68) - (sqrt(68) - 2*sqrt(68)*-1)) + 6*-2*sqrt(68))\/((sqrt(484) + (sqrt(484) + sqrt(484) + sqrt(484)*2 - sqrt(484) - sqrt(484)))*-6*-6).\nAnswer: -7*sqrt(17)\/594","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -16*h**2*m**2*n + 289*h**2*m**2 - 38*h**2*m*n + h**2*n + 2*h*m*n - 2*h*n - 28*m**3 + 6*m*n + 34*n wrt m.\nAnswer: -32*h**2*n + 578*h**2 - 168*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 17, -9, 31, -14 in ascending order.\nAnswer: -14, -9, -2, 17, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 124*y - 32 = 4*h + 122*y, 4*h + 50 = 5*y for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t**2 - 4*t + 2. Let h be j(-6). Let i = -46 + 35. Which is smaller: h or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, -6, -2\/11 in increasing order.\nAnswer: -6, -2\/11, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 37232122 and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 0.1 (b) 3 (c) 4350 (d) 409 (e) -4 (f) 0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -223 - -222.4. Let y be 3 + -4 + 10\/14. What is the second smallest value in -4, y, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p = 9*u + 33, u + 10272 = 2*p + 10259 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(-36)*396\/(-88).\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the first derivative of r**5\/60 - r**4\/36 - r**3\/18 + r**2\/6 - r + 2. Let u(g) be the first derivative of q(g). Factor u(x).\nAnswer: (x - 1)**2*(x + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 46 + 14 = 0. Let l = 25 + b. List the prime factors of l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kvwv when four letters picked without replacement from {v: 2, k: 2, w: 4}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h - 5. Let l be s(10). Suppose -15 = -l*g, -3*t + g - 6*g + 255 = 0. What is the units digit of t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 423403 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -43500885.133+2\nAnswer: -43500883.133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0 + (9 + -4)\/(-5). Let s be d + (-3 - 6\/(-3) - -6). Let v(t) = -2*t - 11. Let i(b) = -b - 1. Let a(o) = 6*i(o) - v(o). What is a(s)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**9*u)\/(u*u\/(u*u**13)))\/(((u*u**26)\/u)\/(u\/(((u**(-2\/43)*u)\/u)\/u))) assuming u is positive.\nAnswer: u**(-84\/43)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/7577087 or -1?\nAnswer: 1\/7577087","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen fifths of a decade in years?\nAnswer: 26","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 156349096?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 2*f**3 - f**2 - 2*f - 1. Suppose -9*h = 8*h - 34. Give p(h).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.731043 millennia in decades?\nAnswer: 873.1043","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 90 and 110?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b**2 - 2*b + 7. Let z(p) = -511*p**3 - 6*p**2 + 7*p - 258. Let l(w) = 4*s(w) + z(w). Find the second derivative of l(a) wrt a.\nAnswer: -3066*a - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + -10 + 16 + -8.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -480984, -480976, -480964, -480948, -480928, -480904, -480876?\nAnswer: -480844","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that 4*c**4 - 16*c**3 - 12*c**2 + 40*c + 32 = 0.\nAnswer: -1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - y - 205 = 0, 2*m - 3*m = -5*y - 213. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -13\/36 - -47\/108. Sort h, -2\/13, 0.3 in descending order.\nAnswer: 0.3, h, -2\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7 - 13. Suppose 2*g + 18 = -4*n, 4*g - 2*n + 16 = -6*n. Which is bigger: c or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1439c5 (base 13) in base 7?\nAnswer: 4124452","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:49 AM and 11:35 AM?\nAnswer: 286","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (15\/63)\/(225\/210)\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00004765 rounded to five dps?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 1 - 3*b**3 + 2*b**2 + 2*b - b**2 + 0*b**2. Let f be t(-1). Let r = f + 5. Calculate the highest common divisor of 16 and r.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*u + 290 = -16*u + 45*u for u.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 3 m when four letters picked without replacement from rymztrmarmt.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w**3 - 9*w**2 - 9*w - 1. Let k(i) = -2*i**2 + 8*i - 4. Let r be k(3). Let d(h) = h**2 + h. Calculate r*m(z) + 18*d(z).\nAnswer: 2*z**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56 = -4*w + 948. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.008 + 19.992. Let s = k + -6. Let q = s - 13.9784. What is q rounded to three dps?\nAnswer: 0.022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1f00 + 1?\nAnswer: -1eff","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 minutes after 1:13 PM?\nAnswer: 2:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-1)\/p*p)\/p)**(-8) assuming p is positive.\nAnswer: p**16","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 17*d**2 + 4*d + 4. List the prime factors of t(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/232)\/(-19*(-1)\/76)?\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -204056 + -4?\nAnswer: -204063","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i**2 + 6*i - 5. Let h be q(-7). Solve -v + h*v = -4 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 5280698, 10561395, 15842092, 21122789, 26403486, 31684183?\n\"Answer: 5280697*z + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 372 minutes after 12:22 PM?\nAnswer: 6:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/3 of a day in minutes?\nAnswer: 1920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*k + 115 = 14*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -13*r**2 + r. Let w(p) = 13*p. Determine v(w(o)).\nAnswer: -2197*o**2 + 13*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1\/((-276)\/(-274) + -1). Let t = a - 84. Calculate the remainder when t is divided by 18.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5802*r - 152372 - 197315 = 250*r - 49879 for r.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-1)\/(-2))\/(1\/8). Suppose 0 = 4*r + 5*k - 13, -b*r + 6 = -k - k. Suppose -d + 4*n + 2 = 1, -2*n + 7 = -3*d. What is the closest to 0 in d, r, 3\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1645073, 1645068, 1645063?\nAnswer: 1645058","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1202552 to the nearest integer?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3574*1.47.\nAnswer: -0.525378","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m**2 + 10*m - 25. Let f be l(-12). Let y(p) = -p - 1. Let b(x) be the first derivative of 7*x**2\/2 + 3*x + 22. What is f*b(n) - 4*y(n)?\nAnswer: -3*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from diffifbidfddaddd. Give prob of picking 1 a and 1 i.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, m: 10, l: 8}. What is prob of picking 2 m?\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((v\/(v*v*v*v\/v**(-2)*v*v*v))\/v)\/v)**(3\/8))**2)**28 assuming v is positive.\nAnswer: v**(-210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9261*m**2 + 9261*m**2 - 2*m**3.\nAnswer: -2*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = -5*q + 3. Let o(k) = k - 4. Let r be o(0). Let x = q + r. What is the units digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*v = 2*b + 24*v + 18, 4*b + 5*v = -40. Let o be ((b - -4) + 7)\/((-3)\/(-5)). Solve -o*j + 8*j - 6 = 0 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3154, 3153, 3152?\nAnswer: 3151","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence drb when three letters picked without replacement from gbgbdmbbggdmbhbrh.\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 9180641 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 61, 177, 369, 637, 981, 1401, 1897?\nAnswer: 2469","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = 2*m - 9, 29 - 4 = -5*j. Solve 5*i = -25, -a + 5*i + 29 = -m*a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 67, 114, 135, 124, 75, -18, -161, -360?\n\"Answer: -y**3 - 7*y**2 + 75*y","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*d - 97 - 133 = 133 for d.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13 + -1 + 1 + (-6445 - -6361)?\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8 + 18. Let h(o) = -o**3 - 4*o**2 - 5*o - 3. Let u be h(-3). Suppose -w = -u*t + 2. Solve 8*i - 21 = -l + 3*i, 5*i = t*l + 16 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -19.71 - 4.29. Which is the fourth biggest value? (a) -1\/8 (b) m (c) -3 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that 4*j**3 - 5057*j**2 + 105676*j - 26103 = 0.\nAnswer: 1\/4, 21, 1243","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -2\/3735083631?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 135 = 5*y, 59*o - 56*o = -2*y + 96. What are the prime factors of o?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (8\/(-6))\/(1\/(-15) - 0). Let x = 18 - o. Find the common denominator of -4\/21 and (x\/(-15) - (-11)\/55)*-28.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-29)\/(-5) - (-23)\/(345\/(-75)). Factor 6\/5*h**2 + 0*h**3 + 0 - 2\/5*h**4 - y*h.\nAnswer: -2*h*(h - 1)**2*(h + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*r**5 + 0*r**2 + 0*r**2 + (2 + 2*r - 2)*(0*r**4 - r**4 - r**4) - 3*r**3 + r**5 + 3*r**3 + (3*r**2 - 2*r**3 - 3*r**2)*(3*r**2 - 3*r**2 - 2*r**2).\nAnswer: -2*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-655182)\/(-13236)*2\/(-11).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 15.20048 to two decimal places.\nAnswer: 15.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*h**3 + 15645*h**2 - 124740*h - 312100.\nAnswer: -5*(h - 3121)*(h - 10)*(h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 8 = -0. Suppose -2*y = -3*y - i. Let c = -1 - y. Solve -3*g + b = -3, -3*b + c = -g - 4*b for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1120 = 12*s + 1504 for s.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*t - 2 + 2 - 2 + 2 + t + (-2*t + 2 - 2)*(-4 - 1 + 3))*(-1 - 1 + 10).\nAnswer: 24*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -231, -237, -243, -249, -255?\nAnswer: -261","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 2*a**3 - 3*a**2 + 4*a - 5. Let p(j) = 4*j**3 + 331 - 9*j**2 + 12*j + 2*j**3 - 347. Let r(q) = 7*o(q) - 2*p(q). Calculate r(2).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1526 and 58.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 4879100?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -812 by 2.\nAnswer: -406","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 times 1757\nAnswer: 702.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide ((-868)\/(-62))\/((-4)\/(-18))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -60 divided by -40.\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*j - 323064 = -42*j + 2*r, -2*j + 5*r + 161524 = 0. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*b + 2519*b**3 - 5*b.\nAnswer: 2519*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2705553?\nAnswer: 3, 521, 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2 - (-3 + 5) - -17. Suppose -3*p + u = 2. Suppose p*k - 427 = -87. What is the greatest common divisor of 17 and k?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -3692009.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-68)\/(-4) + 8\/(-6)*15\/10?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pp when two letters picked without replacement from ojjojjbjpjktjpj.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (28\/(-16) + 3)\/((-3)\/(-24588)). Is (-2)\/((-3)\/(-15) - 2079\/c) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the third derivative of 11\/20*j**5 + 3\/4*j**4 + 14*j**2 + 0*j + 0*j**3 + 0. Find the second derivative of y(u) wrt u.\nAnswer: 66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9543 and 85374859.\nAnswer: 3181","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 20 + -14. Suppose c - r = 4. Calculate the remainder when 37 is divided by c.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a and 1 g when three letters picked without replacement from ggagiaiiiaiaa.\nAnswer: 15\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -464*x - 2205 = -359*x for x.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/11 smaller than -382133?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.1 and 18.3475.\nAnswer: -1.83475","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that -4*j**3 + 2004*j**2 + 4120*j - 48288 = 0.\nAnswer: -6, 4, 503","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 10531 - 10541. Let y be 6\/8 + (-7)\/(-28). Sort y, -1, r, 5 in ascending order.\nAnswer: r, -1, y, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 1 = -2*r, -y + 6*y + 8 = 3*r. Let g(s) = r - s - 1 + 5. Let j be g(11). Let i(h) = -3*h - 7. Determine i(j).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*t**3 + 2880*t**2 + 8105*t - 2550 = 0.\nAnswer: -3, 2\/7, 85","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 5*u**2 + 6*u - 6. Let c(t) = 55*t**2 + 65*t - 65. Let i = 290 - 225. Give i*k(d) - 6*c(d).\nAnswer: -5*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -283, -1523, -4665, -10657, -20447, -34983, -55213?\n\"Answer: -158*b**3 - 3*b**2 - 125*b + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -22*p + 16*p + 18 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -774, 0, -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t**4\/2 - 69*t**3\/2 - 459*t**2\/2 - 939*t\/2 - 273 = 0. What is t?\nAnswer: -13, -7, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*f - 15*a + 14*a + 2312, 3*f + 5*a = 1374. What is the remainder when f is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:39 AM and 11:22 AM?\nAnswer: 223","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 420 minutes after 7:39 PM?\nAnswer: 2:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 10 + -18. Is t\/12 - 467\/(-3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 30 = 19. Let k(u) = 2*u + 25. Let n(o) = o + 13. Let s(b) = x*n(b) + 6*k(b). Calculate s(0).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-68)\/70*7)\/(-3*(-4)\/30)\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d and 2 n when four letters picked without replacement from dndbnnbndbnbddn.\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**(1\/3)*d)**(-5\/3)\/(d**(-2\/5))**(-13\/6) assuming d is positive.\nAnswer: d**(-214\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 104 and 2?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, -2.574, -2, 5 in descending order.\nAnswer: 5, -2, -2.574, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6624161*y**5 - 536*y + 6793?\nAnswer: -132483220*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 3*y = -10. Suppose y*q - 5045 = -5*c, c - q = 1358 - 351. Is 56 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2.37 + 0.9. Let j = 1.4641 + a. What is j rounded to two dps?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + 7 + (4 - 10) + (-4 - 33) + 106?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:02 PM and 6:18 AM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ycyyyffycfff. What is prob of picking 2 y?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 212?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = -2, 4*i - 14 + 38 = -4*b. Let o(r) = r**2 - r - 10. Let d be o(b). Let p = -11 + d. What is the units digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3\/583 (b) 0.428 (c) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -827387.4 + -1.\nAnswer: -827388.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 7*t**2 - 67*t + 140. Let p(z) = -3*z**2 + 30*z - 71. Give -4*i(a) - 9*p(a).\nAnswer: -a**2 - 2*a + 79","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 24111, 48213, 72303, 96375, 120423?\nAnswer: 144441","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -f**2 + 267*f - 265*f - f**4 - f**2 to z + h*f**2 + b*f**4 + k*f + c*f**3 and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 30 - 28. Suppose -4 = x*y - 4*y. Suppose -5*k - a - 9 = 0, 0 = 3*k - k - a - y. Is 2\/27 greater than or equal to k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2*r + 0)*(2 - 2 + 4)*(103 - 103 - 8*r).\nAnswer: -64*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1.58, 2\/15, -1?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-1\/4)*m)\/(m\/(m\/m**(2\/7))))**(3\/19)\/(((m\/m**(-6))\/m**5)\/(m**6*m*m*m\/m**(-1\/3))) assuming m is positive.\nAnswer: m**(11821\/1596)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 47 = 127. List the prime factors of g.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 61? (a) -0.1 (b) 0.02 (c) 2\/25 (d) 0 (e) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6999535?\nAnswer: 5, 71, 19717","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y**3 + 9*y**2 + 9*y + 2. Calculate v(10).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/103626 and -157\/34542.\nAnswer: 103626","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 99*v + 104*v + 3*v**2 - 6*v**2 - 196*v. Let y(o) = -2*o - 34. Determine y(j(z)).\nAnswer: 6*z**2 - 14*z - 34","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -3*1.55\nAnswer: -4.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 26 by -6091.\nAnswer: -26\/6091","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -188786, -188862, -188938, -189014, -189090, -189166?\n\"Answer: -76*z - 188710","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 125603?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 8422 = -t, -11*t + 6*t + 42110 = 5*f. What is the tens digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in seven quarters of a gram?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 187 = -5*b, -b + 50 = 3*u + u. Let s = 111 - 38. What is the remainder when s is divided by b?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -8*d**2 - 26*d + 17. Let x(o) = -3*o**2 - 9*o + 6. Let s(u) = 11*x(u) - 4*z(u). Let b be s(4). Suppose -w - 40 = -b*w. List the prime factors of w.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 61*m**2 + 3*m - 2099*m**2 - 3*m.\nAnswer: -2038*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = 4*z - 5*l - 215, -5*l - 95 = -2*z. Suppose -8*k + 184 = z. Calculate the common denominator of 23 and 28\/k - 25\/75.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 82 + 1 - (-120)\/(-30). Suppose -2*h - y = -113. Is 3 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the third derivative of j**4\/24 - j**2. Let n = -50 - -44. Let t(l) = l. Calculate n*t(o) + 5*c(o).\nAnswer: -o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 2*u**3 - 2*u**2 - u - 2. Let x be v(2). Suppose -2*l + 16 = 2*l. Solve -x*n - s = 20, -l*s - 20 = -3*n + 7*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -2092\/875 and -2 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 283 minutes after 6:55 PM?\nAnswer: 11:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -11256688*j**5 + 1283*j**2 + 2434 wrt j.\nAnswer: -675401280*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(98)\/(sqrt(42)\/(sqrt(6) + (sqrt(36)\/sqrt(6) - sqrt(6)))))\/(sqrt(448) + 6*-2*sqrt(448) + sqrt(448) - sqrt(448)).\nAnswer: 3*sqrt(2)\/44","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -25585 + 52288. What is the thousands digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -a - 1. Let l be u(-3). Let t be (-3)\/(-7) - (-6)\/(-14). Solve t = x + l*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 434813?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4 (b) -0.1 (c) 4548.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 428443665.\nAnswer: 3, 5, 13, 97, 22651","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 70952 to the power of 1\/2, to the nearest integer?\nAnswer: 266","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 91\/4710 and -119\/1110.\nAnswer: 174270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 4*d + 22 = 0, -4*c - 14*d + 19*d = -23. What is the nearest to 4 in -1\/8, 20, c, -2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a meter in centimeters?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.16674381137 + -10?\nAnswer: -9.83325618863","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 55, -69, 93.\nAnswer: -69, 55, 93","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*a = -20*a + 3 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 10 + -3. Suppose -p + 169 = -o. Calculate the remainder when p is divided by 18.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dd when two letters picked without replacement from duudduddddu.\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -28 - -33. What is the smallest value in u, 0.4, 16?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 27\/((-35)\/(-10) - 2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4.275*-0.7\nAnswer: -2.9925","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -83, -164, -245?\n\"Answer: -81*o - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 210230112 (base 4) to base 5\nAnswer: 14302134","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 10500504 (base 6) in base 12?\nAnswer: 134734","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 7\/2 of a tonne?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 258738 * 0.118.\nAnswer: 30531.084","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 69303664 to the power of 1\/6, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*g + 18*g = -u + 5, 5*u + 3*g + 21 = 0 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 2, x: 1, c: 1, d: 1, t: 1, s: 2}. Give prob of picking 1 m and 1 s.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 105, 210, 291, 336, 333, 270, 135?\n\"Answer: -2*r**3 + 119*r - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/100*-5*5\/(-2)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -54*l + 404*l + 4550 for l.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 821 is divided by 216.\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 37 (b) 1703\/2 (c) 0.05\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 147 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -5*h, 5*d - 5 = -h + 9. Let k be ((-2)\/(-6))\/(1\/21). Suppose -2*z = -d*q - k, -5*z + 0*q = 5*q - 5. Solve -5*n - z = 8 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -9 + 14. Let f = 4 - 2. What is the closest to -0.1 in h, f, 4\/3?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.023 - 9976410794.09\nAnswer: -9976410794.113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-10 + 10)\/(11 - 7). Solve 4*x - 20 = v, 20 = -5*g + 5*x + 5 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -15767 or -15769?\nAnswer: -15767","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ppld when four letters picked without replacement from xpxqdlp.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by -76.\nAnswer: -3\/76","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-60)\/(-45) + 281\/3. Suppose 0 = 2*f + 4, 4*m - f - c + 33 = 0. Suppose -5*g - m = 0, 8*g = -3*h + 3*g + 888. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 10085*s - 6. Let g be x(-1). Let m = 15648 + g. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the first derivative of -g**6\/180 + 5*g**2\/2 + 4. Let u(m) be the second derivative of p(m). Factor u(z).\nAnswer: -2*z**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -x**3 + 11*x**2 - 2*x + 4. Calculate h(5).\nAnswer: 144","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 78, -1\/7, 36, 9, -6, 2\/15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fuffpmyf. Give prob of picking 1 p and 1 y.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -4110 divided by 6\nAnswer: -685","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4929.3 + -4838.226. Let g = f - 91. Let w = -0.0505 + g. Round w to three decimal places.\nAnswer: 0.024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 231041?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8418, 16826, 25234?\nAnswer: 33642","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/4*-42*(-140)\/(-4410)*(-111)\/(-1)?\nAnswer: -111","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 18*6\/4*(-14)\/(-21). Let g(f) = 34 - 11*f**2 - t - f**3 + 4*f**3 - 2*f**3. What is the units digit of g(11)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1.03, 1\/5, -5, -4471?\nAnswer: -1.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 2 times 0.1976046\nAnswer: 0.3952092","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o. Let g(w) be the second derivative of 431*w**4\/3 - w**3\/6 - 242*w + 3. Determine d(g(k)).\nAnswer: 1724*k**2 - k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 727?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7*j**3*v - 68*j**2*v - 40*j + 2*v wrt j?\nAnswer: 42*j*v - 136*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 306 or 132577\/434?\nAnswer: 306","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/2*-14*12\/(-2016)*-10?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 620177082*x**5 + 47*x**2 + 10383*x - 31?\nAnswer: 37210624920*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 180 and (4 + -5 + 4)*90\/9.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 17 - 11. Suppose b - o*b + 15 = 0. Suppose -3*f + 6 = b*s, 3*f + 2*s - 10 = -0. Does 6 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 3*y - 21 = 0, 4*o - 14 = y - 7. Suppose 0 = -5*z + 5*w + 40, z + 7 = -3*w - 5. Suppose z*b - 3*q + 9 = q, b + q = 4. Solve -o*f + b + 8 = 0 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4 + 6. Let g(s) = -s**2 + 4*s - 5. Let k be g(a). What is the remainder when 26 is divided by (1 - k)*(-90)\/(-12)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2 + 1)\/((-1)\/2). Suppose a = -q, 3*q - a = 4 - 0. Suppose 0 = -5*b + 6 - q, 0 = -2*o - 2*b + 2. Solve -13 = -3*u - y*r, o*u + 5*r + 15 = 2*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the second derivative of -z**7\/280 - z**6\/60 + z**5\/40 + z**4\/4 - 35*z**3\/6 + 33*z. Let a(x) be the second derivative of r(x). Solve a(h) = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 58\/237 and 32\/553.\nAnswer: 1659","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*a - 6*a - 6*a**2 - 2*a.\nAnswer: -6*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (22 - 12 + 9 - l)*(2 - 2 + 2 + (-1 + 26 + 7)*(4 - 4 - 3))*(0 - 1 - 1) to i*l + y and give y.\nAnswer: 3572","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*m**4 - 3*m**4 + 4*m**4 + (-2 - 31 - 3)*(4*m**4 + 0*m**4 - 2*m**4) - 2*m**4 + 4*m**4 + m**4 + (-3*m**2 + 0*m**2 + 0*m**2)*(0 + m**2 + 0).\nAnswer: -74*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0.5, 1\/13, 4, -0.2?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the third derivative of -v**6\/15 - 5*v**4\/24 + 25*v**2. What is the second derivative of n(h) wrt h?\nAnswer: -48*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the third derivative of j**4\/24 - j**3\/2 - 2*j**2 - j - 617. Let w(p) = 1. Give -g(t) - 6*w(t).\nAnswer: -t - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-6)\/15 + 6\/15. Suppose -2*u + d = 10 - 40, x = -5*d. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4.57 + -0.23. Let t = -8.6 - o. Let k = 3.79977 + t. Round k to four decimal places.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1620 and 324?\nAnswer: 1620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -38ec3 (base 15) to base 12.\nAnswer: -89540","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -159422 (base 10) in base 15?\nAnswer: -32382","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4180851\/4 or 1045213?\nAnswer: 4180851\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 less than 46.9?\nAnswer: 56.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -859 = -7*n + 436. Suppose -2*i = -7*i + 2*x + 260, -n = -4*i - 3*x. Is 49 at least i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 590.2649 kilograms in nanograms?\nAnswer: 590264900000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -10*p**2. Let m = 15 + -13. Let d(r) = -5*r**2 + 3*r + 3. Let x(w) = 4*w**2 - 2*w - 2. Let l(k) = m*d(k) + 3*x(k). Calculate l(j(s)).\nAnswer: 200*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mm when two letters picked without replacement from {m: 4}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/(-6) + (-2244)\/(-18) + 2. What is the third derivative of -201*q**2 + 101*q**2 + 24*q**6 + y*q**2 wrt q?\nAnswer: 2880*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-4)\/(11 - 3))\/(2\/(-8)). Solve -h + 12 = -y*z, 5*h = -2*z + 19 - 7 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 189, 206, 223?\n\"Answer: 17*k + 172","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 27761400 rounded to the nearest 100000?\nAnswer: 27800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l**2 - 8*l - 4. Let m be g(-7). Suppose -70 + 22 = -m*u. Let c be u\/28 + (-8)\/14. Is 0 greater than or equal to c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the first derivative of -o**2\/2 + o + 10. Let g be t(-4). Suppose g*n - 30 = -5*w, 2*n - 14 = -2*w - n. Sort w, -1, -4, 3 in descending order.\nAnswer: w, 3, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -n + 2*c, -n - c + 2 = -4*n. Let h be n - (-1)\/(2\/4). What is the lowest common multiple of ((-2)\/(-1))\/h + 9 and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the first derivative of 2\/9*y**3 + 2\/9*y + 5 + 1\/18*y**4 + 1\/3*y**2. Suppose t(l) = 0. Calculate l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x and 2 s when four letters picked without replacement from xcxvxjvvscscjs?\nAnswer: 9\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3920*u - 3909*u = 231. Calculate the remainder when 29 is divided by u.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.11978 * 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ddww when four letters picked without replacement from {h: 1, w: 4, d: 2}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 187216 + -68835. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is -85271 divided by 1?\nAnswer: -85271","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0.4, 9, 28, 0.3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -17 - -15. Let s = -41 + 40. Which is the nearest to 0.2? (a) k (b) s (c) -0.07\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1051709 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 11 = -10. Is -3\/14 >= u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rrrr when four letters picked without replacement from rrrrryrjjrrry.\nAnswer: 126\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1 + 52\/(1 - -1). Suppose -2*u + 30 = u. Calculate the greatest common divisor of n and u.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 17613 and 16789.\nAnswer: 2870919","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -6 - 2 - 298*l**3 + 296*l**3 + 3*l as s*l**2 + b*l + y*l**3 + v and give b.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-3)\/(-4))\/(5*15\/400). Solve v = -w*v + 5 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2359043, -4718122, -7077205, -9436292, -11795383, -14154478?\nAnswer: -16513577","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 67 = -2*i, -3*q = -178*i + 179*i + 44. What is the third biggest value in -2\/7, -2\/31, i, -0.2?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 56*j + 19. Let g(s) = -4*s**3 - 19*s**2 + 4*s + 7. Let q be g(-5). What is the units digit of z(q)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the first derivative of -4\/15*n**5 - 1\/2*n**2 - 1 + 5\/9*n**3 + 1\/4*n**4 - 1\/3*n. Let y(o) = 0. Calculate o.\nAnswer: -1, -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -47*g*m**2*z**3 + g*m**2*z**2 - 29*g*m**2 + 218599*g*m*z**3 + 8571*m**2*z**2 - 7*m wrt z.\nAnswer: -282*g*m**2 + 1311594*g*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lfll when four letters picked without replacement from flllfll.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 53 or 258\/5?\nAnswer: 53","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -453, -877, -1243, -1521, -1681?\n\"Answer: 5*j**3 - j**2 - 456*j - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g\/(g\/(((g\/g**(2\/13))\/g)\/g)))\/g)\/((g*g**(1\/4))\/g))\/(g\/g**(-2\/7))**(-25)*(g**(-1))**49\/(g**(-6)*g*g*g*g\/g**(-1\/4)) assuming g is positive.\nAnswer: g**(-3187\/182)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 21, 28, 49, 90, 157, 256?\n\"Answer: i**3 + i**2 - 3*i + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*g + 2*g + 42 = 0. Suppose g*i + 0*i = 0. Solve -6 + i = -2*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = 3*o + 5 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 18\/2*(388 - (1 + 0)). Is 13 a factor of 4*b\/21 + (-12)\/28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4 + -3.7. Let k = -12 + 11. Let q = -2 + k. Is d equal to q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -20*d + 258. Give a(14).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 13, j: 3, c: 3}. Give prob of sequence cct.\nAnswer: 13\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v**3 + 9*v**2 - 4*v - 13. What is the remainder when x(8) is divided by -1 + 5 + (-12)\/(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -51436.9 to the nearest one hundred.\nAnswer: -51400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -103*q*t**3 + 7896*q*t**2 - 2*q*t - 470*q - 3*t**3 - 5*t**2 - t - 5753 wrt t?\nAnswer: -618*q*t + 15792*q - 18*t - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/4, 3, 0.2, 15\/2?\nAnswer: 15\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 22\/(-18) + 1 - (-94)\/18. Suppose 0 = -5*o - 2*q + 18, 0*q + 22 = o + n*q. What is the third derivative of -o*z**2 - 17*z**3 - 8*z + 8*z wrt z?\nAnswer: -102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3\/16 of a millennium?\nAnswer: 2250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i*i**(-17)*i)*i\/(i\/((i\/(i**1*i))\/i)*i))\/(i**(-4))**(21\/5) assuming i is positive.\nAnswer: i**(149\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 75 and 105.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 7992200 and 2563200.\nAnswer: 1150876800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-912)\/(-380))\/((-5)\/(-75))?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -3*d**2 - 5*d + 16. Let j(y) = 4*y**2 + 8*y - 15. Let g(a) = -2*j(a) - 3*z(a). Calculate g(-6).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1606022 to the power of 1\/2, to the nearest integer?\nAnswer: 1267","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 207 = -5*d + 81, 0 = 5*d - 4*f + 129. Let n be 120\/d + 1 + 4. Sort -3, n, -0.2, 5 in increasing order.\nAnswer: -3, -0.2, n, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s - 30 = 5*h, -30*s + 108*h + 8 + 420 = -28*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -73 - -22041.\nAnswer: 21968","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 250\/2625 + 1027\/21. Solve 44 = 60*t - v*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1384 - 13*p**2 + 12*p - 1384.\nAnswer: -13*p**2 + 12*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*g = -59 - 11. Let b be (3\/6)\/(g\/14) - -1. Is b at most as big as -0.0319?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.3177 and -3716.\nAnswer: 1180.5732","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2188 and 48172649?\nAnswer: 547","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -3241004, -3241307, -3241610, -3241913, -3242216?\n\"Answer: -303*d - 3240701","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the third derivative of -5*l**7\/42 - 43*l**3\/6 + 83*l**2. What is the derivative of x(c) wrt c?\nAnswer: -100*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 12 (b) -0.2 (c) -159\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/5 in 0, 1\/8, 1.2?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.2 or -6664.4963?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 323696143 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0753195 rounded to 4 dps?\nAnswer: 0.0753","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -263066, -1052216, -2367466, -4208816?\nAnswer: -6576266","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 224*h - 3. Let b be 2\/(3*2) - 12\/(-18). Let o be k(b). Let j = -133 + o. List the prime factors of j.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x when two letters picked without replacement from xjxx?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (((-11)\/(-22))\/((-25)\/(-30)))\/((-3)\/(-2))\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 13540 and 31142.\nAnswer: 311420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 338 and 13?\nAnswer: 338","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 2 d when three letters picked without replacement from ddddzzdz.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 110655?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aaaadaaddadddaddad. Give prob of sequence aadd.\nAnswer: 6\/85","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 15.6 + -352.6. Let w = v + 340. What is the nearest to -0.1 in -4\/7, -1, w?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2 - (-2 - -11 - 13\/8*4). Let f(k) = k**2 + 6*k - 5. Let u be f(-7). Suppose -9 = u*s - 1. Which is the nearest to 0? (a) x (b) -1\/9 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25 - 33 = -2*l + 2*o, -o - 24 = 3*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -2*i**2 + 17*i - 11. Let n(x) = 3*x**2 - 17*x + 12. Let k(o) = 5*b(o) + 4*n(o). Let q be k(-9). Solve -6*m = 2*p - m - 10, 2*m - 10 = -q*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20114.08ms to seconds.\nAnswer: 20.11408","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -21*s + 52*s - 40*s. Let y(w) = -19*w**2. Calculate y(a(i)).\nAnswer: -1539*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1*5\/(-15) - 20\/(-6). Let m be f + (-73)\/5 - (-4)\/(-10). Is ((-81)\/3)\/((-10)\/m - 1) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21940657 to the power of 1\/3, to the nearest integer?\nAnswer: 280","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.085 + 0.015. Which is the nearest to i? (a) -2 (b) 0.2 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 68, 5, -3?\nAnswer: 68","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*sqrt(119)\/((sqrt(84)\/sqrt(4))\/sqrt(3)).\nAnswer: 6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -71, -95, -119, -137, -143, -131?\nAnswer: -95","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1 + 0.99. Let o = 0.44 + m. Let j = -0.01 + o. What is j rounded to one decimal place?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -26*t**3 + 16 + 251*t - 20 - 8*t**2 + 6*t**2 - 251*t in the form k*t**2 + a*t**3 + x + c*t and give a.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -25797, -28515, -31233, -33951, -36669?\nAnswer: -39387","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**2 - 3646*n + 421352.\nAnswer: 2*(n - 1699)*(n - 124)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p + 7. Let i be k(-7). Solve -j = 5*g - 2*j + 18, 3*j = 5*g + i for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*-2*sqrt(117) + sqrt(117))\/(-2*sqrt(9)*-6).\nAnswer: sqrt(13)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:44 PM and 4:47 AM?\nAnswer: 303","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -13253100 rounded to the nearest one million?\nAnswer: -13000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the second derivative of -1\/8*w**4 + 6*w**2 + 0 + 5*w + 0*w**3. Let n(y) be the first derivative of g(y). Let b(x) = -2*x. Give b(n(l)).\nAnswer: 6*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 22492704 and 96.\nAnswer: 22492704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*p**2 - 8975 - 8900 - 8904 + 26779.\nAnswer: -16*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -2171, -2382, -2733, -3224, -3855, -4626, -5537?\n\"Answer: -70*y**2 - y - 2100","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-4)\/j**(-4\/3)*((j*(j\/j**(-5))\/j*j)\/j)**30 assuming j is positive.\nAnswer: j**(532\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i. Let h be m(3). Let f be -3 - (1 - (5 - -2)). Factor -f*q**3 - q**h + 5*q**3.\nAnswer: q**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -179*y**4 - 134 with respect to y.\nAnswer: -716*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 1043?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 12\/54 + (-104)\/(-18). Let g be -2*(-9 - (2 - 1)). Suppose -g + v = -2*j - 2*s, 0 = -j + s - 3. Which is greater: 1 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-7)\/h*h*h**(-8))\/(h*h**(2\/3))**1*h**1\/((h**(2\/3)\/h)\/h)*(h*h**(-3)*h)\/h**(-1\/14) assuming h is positive.\nAnswer: h**(-641\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -48047 + 4*p + 11*p + 0*p + 48022. Give o(2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1371 is divided by 780?\nAnswer: 591","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 211 = -401. Is 16 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -7 - -394?\nAnswer: 388","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 351 and 76086.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -a3e323 - -5?\nAnswer: -a3e31d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 127 minutes before 11:40 PM?\nAnswer: 9:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 6 (b) 2.9 (c) -5\/3 (d) 97 (e) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 24797 and 362?\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 57387972 to the nearest integer?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1605651174?\nAnswer: 2, 3, 3303809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g**3 + g - 2. Let d be q(0). Let o(v) = -v + 4. Let h be o(d). Suppose 21 = 5*w + h. Solve m - w = 2 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 203 minutes before 9:42 AM?\nAnswer: 6:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 286962 + -1633990. Let y be c\/9 + (-2)\/9. Let z = y + 1049670. What is z rounded to the nearest 1000000?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5502179 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 3*m**3 - 4*m**2 + 4*m + 3. Let d be g(3). Factor 5*j**4 - 24 - 70*j - 10*j**3 - d*j**2 + 8 - 9.\nAnswer: 5*(j - 5)*(j + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -7547 + 7685 + 83*t - 618*t with respect to t.\nAnswer: -535","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -56.1876 to one dp.\nAnswer: -56.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w - 1 = -19, -w + 100 = -45*j + 145 + 174 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -3*s**3 + 5*s**2 - 8*s + 2. Let b be v(1). Is b not equal to 161?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**(2\/7)\/a)**(-25)*a**(-5)*(((a\/a**(-2))\/a)\/a)\/a*a assuming a is positive.\nAnswer: a**(-78\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -f - 5. Let y(o) be the second derivative of o**3\/2 + 11*o**2\/2 - o. Suppose 631 = -53*b + 154. What is b*v(z) - 4*y(z)?\nAnswer: -3*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put together 39479 and -27.29.\nAnswer: 39451.71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -28181893 less than -28181894?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30 - 3313963.5.\nAnswer: -3313933.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 3, u: 1, p: 5, r: 6}. Give prob of sequence hhpu.\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2743 or -50?\nAnswer: -50","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3\/4*v**2 + 0 + 15\/4*v.\nAnswer: 3*v*(v + 5)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.022 and 1.\nAnswer: 0.022","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4 - (2 - 0 - 1). Suppose o = j*m, -2*o - m = -5*m. Suppose o = -3*y + 4*f - 6, 5*f - 1 = -3*y + 20. What is the units digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c - 1. Let t(g) = 2*g**3 + 3*g + 4. Let x(v) = 5*v + 46. Let f be x(-9). What is f*t(u) + 4*z(u)?\nAnswer: 2*u**3 - u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 552 + -435.5. Let n = 116 - f. Which is the closest to 2\/7? (a) 0.1 (b) 1 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(4 + sqrt(208)) - sqrt(208)) + (3*(sqrt(325) + sqrt(13)) - (sqrt(325)*2 + sqrt(325))).\nAnswer: 20 + 19*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -766*k - 904*k - 16308 = -56388 for k.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -52.896 * -2.112.\nAnswer: 111.716352","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -3*(-1 + 0) - (-5)\/(-1). Let n(a) = 2*a**2 - 3*a - 3. Let j(s) = -s - 1. Calculate k*n(g) + 6*j(g).\nAnswer: -4*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6 and 3?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 minutes after 8:06 AM?\nAnswer: 9:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-576)\/(-64)*(-24)\/(-6). Which is bigger: d or 87?\nAnswer: 87","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w = -c + 12, 5*w + 2*c - 4 = -5*c for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u**2. Let w(b) = -15213*b. Give w(r(t)).\nAnswer: 15213*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -3007*t + 78200. What is l(26)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*z - 3*z + 33 - 11284*z**3 + 32563*z**3.\nAnswer: 21279*z**3 + 33","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i**3 - 8*i**2 + 3. Let q be p(8). Let b(u) be the third derivative of -1\/240*u**5 + 0*u + 1\/48*u**4 - 1\/24*u**q + u**2 + 0. Factor b(k).\nAnswer: -(k - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (27*k**4 - 11*k**4 + 3*k**4)*(5 + 9 - 3)*(-2 + 2*k + 2).\nAnswer: 418*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*p + s - 6141, -3*p = -4*p - 4*s + 2058. Suppose p = 4*n - n. What is the hundreds digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 40688*x. Let k(n) = -68*n**2. What is z(k(j))?\nAnswer: -2766784*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -65 divided by -413\nAnswer: 65\/413","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -8*a**4*c - a**3*c + 7*a**3 + 4*a**2 - 18*c + 31 wrt a.\nAnswer: -192*a*c - 6*c + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 39.2526 - 3?\nAnswer: 36.2526","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p**5 - 6298*p**4 - 739462*p**3 - 20206526*p**2 + 117097344*p - 96145056 = 0 for p.\nAnswer: -3028, -63, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 1004\/49, -2\/13, -4, 0.2, -1\/3, -2?\nAnswer: 1004\/49","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x**(1\/3))**23)**(-6\/19))**(-31) assuming x is positive.\nAnswer: x**(1426\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.2 (b) -1\/4 (c) 4.3 (d) 4\/25 (e) 0.12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 0.3 (b) 7 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 5 (b) -0.51 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 520 minutes before 2:25 PM?\nAnswer: 5:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/(-4 + -8) + (-2623)\/(-244)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -160 * 0.0577\nAnswer: -9.232","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/11, 2\/7, -2, 4, 0.9 in increasing order.\nAnswer: -2, 2\/11, 2\/7, 0.9, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2980756660.\nAnswer: 2, 5, 7, 21291119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fff when three letters picked without replacement from sqsqqfqfrrsqffqsfrq?\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -215 and 0.0358.\nAnswer: -7.697","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (50\/(-1))\/((4\/16*8)\/2)\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let v = 3 - 5. Let q(k) = 2*k**3 - 2*k. Let m be q(v). What is the remainder when 16 is divided by (-100)\/m - 4\/(-6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-115)\/46*4\/(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = -4*s + 4*m, -s + 3*s + 3*m - 43 = 0. Let g be -3 - 7\/(s\/(-12)). Suppose 5 = -4*y + g*y. Let l(t) = t + 2. Calculate l(y).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -178 + 178. Suppose j = 3*r - 259 - 116. What is the hundreds digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3284316.472743 - 0.032.\nAnswer: 3284316.440743","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-52 - -12) + 23 - (-2 - 5) - 9.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o**3 - 5*o**2 + 3. Let f be v(-5). Let i be 2\/f - 7802\/3. Round i to the nearest 1000.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 454519 and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1016 + -1000. What is the second smallest value in -0.4, x, 4\/7, -0.2, 35?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence io when two letters picked without replacement from ciooicciiccoooo?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 11*k*q**3 - k*q**2 + 9*k*q - 6*q**6 + 2*q**2 wrt q.\nAnswer: 66*k - 720*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 17 - 1fa?\nAnswer: -1e3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1327.\nAnswer: 1327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1371, -3864, -10637, -23832, -45591, -78056, -123369, -183672?\nAnswer: -261107","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t - p = 164 - 176, -18 = -3*p for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/2*54\/54.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c*c**(4\/3)*c)\/(c**(3\/2)*c))\/(c**(2\/11)*c*c**3*c))\/(((c\/(c*c**(2\/27)*c*c))\/c*c*c**0)\/((c\/(c*c**(-1)*c)*c)\/c)**32) assuming c is positive.\nAnswer: c**(-1351\/594)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*q**2 + 5*q - 5*q)*(5*q**2 - 5*q**2 + 6*q**2).\nAnswer: -18*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1\/(-2))\/(14\/56) - 13. Let c be 2\/(-16)*6\/l. Which is bigger: 0 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 1866012?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 275 + -81. What is the units digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1536, -1305, -1008, -717, -504, -441, -600, -1053?\nAnswer: -1872","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 13*d**2 + 7*d**2 + d**2 - 7*d**2 to z*d**2 + r + l*d and give z.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 24 + 21. Let k(a) = a**2 + a - 1. Let l be k(-3). Suppose -2*s = -12 + 4, b + l*s - d = 0. What is the tens digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21395007 + 0.02604702.\nAnswer: -21395006.97395298","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = 3*t - 71, -114 = -5*t - 3*u + 36. What is the units digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -5376 and -2 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-6)\/18)\/(1\/(-3)). Let y(l) = -l**2 + 7*l - 8. Let z be y(5). Solve -r - z = -o for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (38\/(-14))\/(308\/2156).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 114\/1083 + (-1908)\/76. Is l <= 41?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -25, -0.27, 27 in ascending order.\nAnswer: -25, -5, -0.27, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by -3368.\nAnswer: 1\/3368","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 4292442 to the power of 1\/3, to the nearest integer?\nAnswer: 163","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - w - 8 = 0, -2*f + 7*f - 4 = 4*w. Suppose 3*y + f*y - 70 = 0. Which is bigger: y or -1?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tbttbttttttbzbtbt. What is prob of sequence tz?\nAnswer: 11\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 30, 47, 68, 87, 98, 95, 72?\n\"Answer: -s**3 + 8*s**2 + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 623, 1283, 1945, 2609?\n\"Answer: b**2 + 657*b - 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -58*u + 7374. Determine l(120).\nAnswer: 414","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a micrometer in nanometers?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 28 - 27. What is the lowest common multiple of 8 and 4*(-4)\/((-8)\/t)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-30)\/(-7 + 5) - 3. Let y(g) = 5*g - 58. Let z be y(m). Let d = -5.2 + 6.2. What is the smallest value in z, d, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-2))\/((-40)\/80)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4463, 18011, 40583, 72173, 112775?\nAnswer: 162383","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40*t**2 + 100*t**2 + 3*t - 31*t**2 + 2*t - 40*t**2.\nAnswer: -11*t**2 + 5*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1802 - 849. List the prime factors of h.\nAnswer: 953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2058.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19763787?\nAnswer: 3, 2393, 2753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.1 (b) -2 (c) -240\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 48093*g**2*s**2 + 223*g**2*s + g**2 + 6*g*s**2 - 6*g*s + 35*s**2 + 5*s + 3 wrt s?\nAnswer: 96186*g**2 + 12*g + 70","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(-6*(sqrt(228) + sqrt(228)*-1) + sqrt(228)*-2*1))\/((1*sqrt(972) + 2*sqrt(12)*-1)*-1).\nAnswer: 12*sqrt(19)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t, 2 a, and 1 u when four letters picked without replacement from {t: 3, u: 2, b: 2, a: 6, o: 2, z: 3}?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 446490, 892885, 1339282, 1785681, 2232082, 2678485?\nAnswer: 3124890","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in -2\/27, 3, -0.01, 0.3?\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15 - -2) + 3 + -1.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*r - s - 83018, -5*s = -3*r - 7797 + 70035. What is the ten thousands digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -4292462*b*s**2 - 532*s**2 + 2*s - 1493 wrt b?\nAnswer: -4292462*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -23.619, 0.4, 382\/11?\nAnswer: -23.619","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Add 1899931 and 5.\nAnswer: 1899936","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (255\/(-34))\/((108\/945)\/((-2)\/15))*-4\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/81)\/(10\/(-30))?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2904)\/sqrt(12) + sqrt(12)\/sqrt(6)*2.\nAnswer: 13*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -2*m + 3. Suppose m = -4*a + 21. Suppose -d - f = -12, f = 6*f - 20. What is the remainder when d is divided by a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 9\/((-18)\/(-4)) - -3. Let f = a - 3. What is the units digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 835*k - 6584. Determine c(8).\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 539 minutes after 5:53 AM?\nAnswer: 2:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6832*o**2*s**3 + 14*o**2*s**2 + 188*o*s**3 + 743*o*s**2 + 41 wrt s.\nAnswer: -40992*o**2 + 1128*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is q in -243*q**5 - 1566*q**4 + 1041*q**3 + 684*q**2 + 84*q = 0?\nAnswer: -7, -2\/9, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 324 a factor of 527622118?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 3*o - o - 10 = 0, -3*m + 4 = o. Is 0 less than m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 60*b + 50. Let g(x) = -13*x - 12. Let r(w) = 17*g(w) + 4*u(w). Let d(o) = 10*o - 2. Give -7*d(n) + 3*r(n).\nAnswer: -13*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*p + 18 = 78. Suppose -3*r + 351 = p*j, -4*r - 3*j = -0*j - 468. What is the units digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.156 - -35088\nAnswer: 35088.156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*m = 3*m, -m - 15 = -3*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 257 = -u + 15*a + 250, 2*u + 6*a = -14 for u.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Are 51 and 26 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1245344 is divided by 103.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 - 0.719?\nAnswer: 5.281","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 3 = 7. Let o be 1\/(-3) + (-30)\/(-9). Let c = -52774 + 52773. Put u, o, c in decreasing order.\nAnswer: u, o, c","meta":{"dup_signals":{},"source":"comparison__sort_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: Suppose r - 3 = -2*r. Let h = -5 - -10. Calculate the smallest common multiple of r and h.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (18\/4)\/(4\/(-48)). Let r = 59 + m. Solve -r*j - 4 = -j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(304)\/(sqrt(32)\/sqrt(4)))\/(2*sqrt(6)\/sqrt(3)))**2.\nAnswer: 19\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 56*i + 5697. What is the remainder when r(19) is divided by 23?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4444 - -4447. Solve c*d + 5*o + 2 = 0, 16 + 10 = -4*d + 5*o for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 265094 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:37 PM and 6:02 PM?\nAnswer: 265","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1557999, 1558006, 1558013, 1558020?\nAnswer: 1558027","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (12\/(-4) + 2)*-24 is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a - 1. Let o be z(-5). Suppose -q - 5*t + t - 6 = 0, 0 = 3*q + 5*t + 4. Suppose 2 = -n + l, n + 10 = 3*l - 6*l. Put q, n, o in increasing order.\nAnswer: o, n, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 14125 and 226.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 0.1*4446\nAnswer: 444.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 64.85 - 95.8. Let u = r - -31. What is the nearest to -1\/3 in 5, u, -3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/11 (b) 120 (c) 2 (d) -4814\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 168 - 1178\/7. Suppose -w = -o + 4, 155*o - 150*o - 26 = -w. Which is the closest to w? (a) 0.1 (b) y (c) -30\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -34\/1255815 and -22\/81.\nAnswer: 11302335","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -117 (base 11) in base 5?\nAnswer: -1024","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 - (64 - 85) - 35) + -1 + -131?\nAnswer: -151","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1651613538 a multiple of 7978?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d and 2 s when four letters picked without replacement from {d: 11, s: 9}.\nAnswer: 132\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -133 + 16778*g + 7 - 16821*g to o*g + c and give c.\nAnswer: -126","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u\/(u*u**(-15)))*u**(6\/17)*u)**(-42) assuming u is positive.\nAnswer: u**(9030\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 11934850 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: Let q = 5657 - 5660. Which is the fourth smallest value? (a) -17 (b) -2\/5 (c) -0.3 (d) 0 (e) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5301 + -5305. Which is the fifth smallest value? (a) 55 (b) x (c) 2 (d) 39 (e) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-72)\/42)\/((-800)\/560).\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 35, 0.38625, -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the first derivative of -5*s**4\/4 + 5*s**3\/3 - s**2\/2 + 5*s + 2978. Let m(w) = 5*w**3 - 4*w**2 + w - 4. Calculate 5*m(k) + 4*n(k).\nAnswer: 5*k**3 + k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from popppoooppopoooopppp. What is prob of sequence oooo?\nAnswer: 42\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0339592 to 4 decimal places.\nAnswer: -0.034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.8 in -0.3, -7, -0.565, 52\/7, 0.1?\nAnswer: -0.565","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 18544 = d + 4708, j = 3*d - 41520. List the prime factors of d.\nAnswer: 3, 7, 659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 59*n**4 + 2*n**3 - 2*n**2 - 2*n - 29. Let f(a) = a**3 - a**2 - a - 1. Let t(b) = -2*f(b) + m(b). Differentiate t(i) wrt i.\nAnswer: 236*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 751*h - 401. Is n(24) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g**2 + g + 1400000. Let u be -2 + (5 - 6\/2). Let h be b(u). Round h to the nearest one million.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r**3 - 11*r**2 - 6890*r - 75797. Give g(-11).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j + 4*j - u + 10 - 12 = 21, -u + 33 - 7 = -3*u for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2226604 take away 1423.9965?\nAnswer: -2228027.9965","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*-4*sqrt(208))\/(sqrt(4) - sqrt(128)\/sqrt(2)))**2.\nAnswer: 3328\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -3362 times 2395.1?\nAnswer: -8052326.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 113 (base 5) to base 9.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1518474847 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -4, -52, 20 in decreasing order.\nAnswer: 20, 0, -4, -52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5 (b) -4 (c) 3 (d) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 1, 0.16, -5 in increasing order.\nAnswer: -5, 0.16, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 16791400 to the nearest 10000.\nAnswer: 16790000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 862008 divided by 42.\nAnswer: 20524","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1529388 a multiple of 578?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:41 AM and 9:39 AM?\nAnswer: 538","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 931015 = 3*q, -30*q = -3*p - 25*q + 1396475. What is p rounded to the nearest ten thousand?\nAnswer: 470000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1344300 equal to -1344300?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -311 = -10*i + 229. What are the prime factors of i?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 120741.\nAnswer: 3, 167, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c**3\/9 + 26*c**2\/9 + 12*c + 16 = 0.\nAnswer: -6, -4, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 163*u - 1610. What is the least common multiple of 3 and b(10)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (1 + sqrt(98) + -3 - (2*sqrt(98) - sqrt(98))*-6)**2 + (2*sqrt(72)*-1)\/(6*sqrt(16)).\nAnswer: -393*sqrt(2)\/2 + 4810","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 - (-1 + 7) - 5.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 361 is divided by 124.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 469 - 418. What is the greatest common factor of 2091 and h?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(v\/(v\/(v*v\/((v*(v*v**(1\/3)*v)\/v)\/v))))*v)**(-25))**46\/((v**1)**46\/((((v\/(v*v*v\/v**(-1\/5)*v)*v)\/v)\/v)\/v**(-2\/11))) assuming v is positive.\nAnswer: v**(-261253\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -949\/1719 + -2\/573. Which is smaller: 1\/3 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iqqcckycyyyygccc. Give prob of picking 1 q and 1 y.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - (38 + -13 + -30 - (-1 - -4))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4933739935 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 33 + -27 - (-1 + 10).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*y = 34*y - 120. Let x = -24 - y. Suppose -4*s = -2*s - x. Solve t = 3*u + 8, 4*t - s*u = -2*u + 10 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 5661, -1190 in ascending order.\nAnswer: -1190, -2, 5661","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w + 13 = -2*k, 0 = -15630*k + 15633*k + 3*w + 24 for k.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 17*c - 114 + 2*c**2 + 236 - 104. Let r be w(-8). Solve -r = -5*f - 2*q, 5*q = f - 3*f + 25 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(228)\/(sqrt(12) + sqrt(72)\/sqrt(6))*5 - (1 + sqrt(57)\/(1*sqrt(3))))**2.\nAnswer: -3*sqrt(19) + 175\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the first derivative of 4*k**3\/3 - k**2 - k - 2. Calculate the remainder when 54 is divided by r(2).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 249 minutes after 10:23 AM?\nAnswer: 2:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b**2 + 25*b - 490. Calculate z(-31).\nAnswer: -304","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*x + 4*x + 4. Let o be (x + -5)\/((-8)\/4). Suppose -4*y + o*d + 159980 = -d, d + 159995 = 4*y. What is y rounded to the nearest 100000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -125\/24 and 34\/315?\nAnswer: 2520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 185257?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*c + 6*f = -23*c - 72*c - 8 - 16, 4*c - 4*f - 16 = 0 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:23 PM and 5:10 PM?\nAnswer: 107","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 7*s = 0. Suppose -2*p - p + 9 = s. Suppose 0 = -p*k - 0*k + 105. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -8 - -5. Let i(f) = 0*f**2 - f**3 + f**2 + 5*f - 2 - 2*f**2 + 5. Give i(c).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 29.849 or 1015?\nAnswer: 29.849","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 2*g**2 - 28*g + 35. Let x be z(18). Let l = -171 + x. Sort 3, 2, -5, l in decreasing order.\nAnswer: l, 3, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is next in 164, 150, 104, 8, -156, -406, -760?\nAnswer: -1236","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 81 and 54564?\nAnswer: 1473228","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (45250\/(-75))\/(1\/(-2700)). Round q to the nearest one hundred thousand.\nAnswer: 1600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -3, -2, 3 in descending order.\nAnswer: 5, 3, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 881 a multiple of 56?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2 or -5730926?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) -4 (b) 0.5 (c) 1 (d) 55\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g**2 + g - 7. Let l be a(4). Let h = 15 - l. Solve 2*j - 2*z - 7 = 9, -h*z - 12 = -j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51719223 a multiple of 47?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*n**2\/4 + 4125*n\/4 - 4119\/2.\nAnswer: -3*(n - 1373)*(n - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 322143 (base 5) in base 6?\nAnswer: 122323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -15 + -3?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 5*l - 16. Let s be n(4). Solve 2*b + 5 = 4*r - 11, 4*b + 8 = -s*r for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t**3 + 20*t**2 - 32*t - 36. What is the units digit of x(16)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.543672*5\nAnswer: -2.71836","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -61, 391, 843?\n\"Answer: 452*v - 513","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v**3 + 4*v - 4. Let i be d(3). Let t(j) = -3*j**2 - 40*j + 1073. Let p be t(-16). What is the greatest common divisor of p and i?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:20 AM and 4:56 AM?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oggwgpwigg. Give prob of picking 1 g and 1 p.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -761, 1, -4, -21, 9 in decreasing order.\nAnswer: 9, 1, -4, -21, -761","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6138 and 810.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - (1 + 0 - (-3 - 1))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**2\/7 - 80*a.\nAnswer: 2*a*(a - 280)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -2383*n. Is u(-1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -380565489 by 126855163.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k and 1 g when three letters picked without replacement from {v: 1, k: 2, m: 1, g: 1, j: 1, q: 1}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(1\/5)\/(l*l*l*l*l\/(l*l**11*l))*((l**(-2)\/l)\/l)**(4\/7) assuming l is positive.\nAnswer: l**(207\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let -i**5 - 1138*i**4 - 92091*i**3 - 1711514*i**2 - 8771600*i - 13305696 = 0. Calculate i.\nAnswer: -1052, -62, -17, -4, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -271965.5 to the nearest one hundred.\nAnswer: -272000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 730 and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.72143 to 1 decimal place.\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the second derivative of 4\/3*v**3 + 2 + 1\/2*v**2 + 77*v. What is s(2)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1 + 3a9a0?\nAnswer: 3a99e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7? (a) 0.0579 (b) 5 (c) -1351 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*q + q - 67 + 10*q - 9*q + 6*q.\nAnswer: q - 67","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 165*l**3*o**3*z - 8*l**3*o**2*z + l**3*o*v**2*z + 2*l**3*v**2 - o**3*v**2*z + o**2*v*z + o**2 wrt o.\nAnswer: 990*l**3*z - 6*v**2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 12\/(-30) + 284\/10. Let s = i + -25. Let q = 3.6 + -8.6. Which is the third smallest value? (a) 0.02 (b) q (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 25?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1165392904?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 50 = 3*d. Let f(v) = -7*v + 2. Let k(h) = h - 1. Let y(u) = d*k(u) + 2*f(u). List the prime factors of y(-8).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 835?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o**2 + 6*o - 7. Let i be u(5). Suppose -z = -0*z - i. What is the tens digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -38, -36, -34, -32, -30, -28?\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 5 (b) -2\/7 (c) 1 (d) -4 (e) 0.1 (f) 6\/25\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of (-3)\/((-6)\/64) + 1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 176 minutes after 1:08 PM?\nAnswer: 4:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 275774 to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3078592, 2, 4 in increasing order.\nAnswer: 2, 4, 3078592","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -209, -198, -173, -128, -57, 46, 187?\n\"Answer: w**3 + w**2 + w - 212","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 l when four letters picked without replacement from llll.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 831 (base 10) to base 6\nAnswer: 3503","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 31 (b) 12 (c) -1\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mxxmx. What is prob of picking 1 x and 2 m?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3929, 15793, 35585, 63305, 98953, 142529?\nAnswer: 194033","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 33\/4 - 8. Let h = -2138.3 - -2143.3. Which is the closest to -1? (a) g (b) h (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 2*l = -4*l + 1094, 5*f - l - 1819 = 0. Suppose f = 4*c - 0*c. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2465 - 7321\/3. Calculate the common denominator of x and 127\/30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 101, -1\/8, -4532.51?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = -3*t + 5*k - 0*k, 0 = -4*t + 3*k - 3 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y**2 + 2730*y = 0 for y.\nAnswer: -910, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -4 + 5 - (13 - 9)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 13412547104 - 39.\nAnswer: 13412547065","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 44015 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - t - 19 = 0, 5*g + 5*t + 5 = -0*g. Let d(y) = -2*y - g*y - 6*y**2 + 2 + 4 - y**3. What is the units digit of d(-5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the second derivative of -7*n**4\/6 + n**2\/2 - 31*n + 2. Let p(w) = -2*w + 12. Let y(l) = 5*l - 34. Let o(z) = -17*p(z) - 6*y(z). What is x(o(c))?\nAnswer: -224*c**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lyclcb. What is prob of picking 2 l?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 2333 divided by -26\nAnswer: -2333\/26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.6342304 to 1 decimal place.\nAnswer: 4.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 247 - 134. Calculate the remainder when x is divided by 39.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 40*r + 683850 = 15*r. Is r a multiple of 47?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52*u - 41 = 739 for u.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 2 p when three letters picked without replacement from yyziyzlpiiaizlpp.\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28 divided by 15.\nAnswer: 28\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*z**5 + 3*z**2 - 3*z**2 + (-4*z**3 + 4*z**3 - 2*z**4)*(-2 + 2 + z) + 0*z**4 + 0*z**4 + z**5 - 2*z**5 + 0*z**5 - 10*z**5.\nAnswer: -15*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5246 and 119438.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i*i**(-4\/5)*i*i**(-1\/2)*i*(i**(-1\/4))**(-32) assuming i is positive.\nAnswer: i**(97\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o - 6*o + 1584 = 0. Is o a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -14 - -11. Let h = 7 + w. Is 1 + -1 + 508\/h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u**3 + 5*u**2 - u + 1. Let m be i(5). List the prime factors of (-2)\/m*4 + 11.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34538142937 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 263575333 is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:48 AM and 2:17 AM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00502863223 rounded to 7 dps?\nAnswer: 0.0050286","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jxrxznni. What is prob of picking 1 z, 1 j, 1 x, and 1 r?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/((b\/(b\/(b\/b**(2\/23))))\/b*b*b*b*b))\/b**12*b**2\/(b*b\/b**(-9)) assuming b is positive.\nAnswer: b**(-550\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-36)\/d)\/d)\/d**(4\/3)*(d\/(d\/d**(1\/2)))**(-1\/55) assuming d is positive.\nAnswer: d**(-12983\/330)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the second derivative of 4*c**3\/3 + 33*c**2\/2 - 6*c. Let g(n) = 2*n + 8. Let z(x) = 9*g(x) - 2*t(x). What is the derivative of z(o) wrt o?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1332 and 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -10990 (b) 3 (c) -23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-66)\/6 - -8) + (2 - (-3 + 7)). Let b be 1\/2 - (-1)\/4. What is the second biggest value in 0.4, -2\/3, b, h?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -3*y + 3. Let r(a) = 5*a - 12. Let k(u) = -6*u + 14. Let d(t) = 4*k(t) + 5*r(t). Let l(h) = 3*d(h) + 4*z(h). Let p(f) = 2*f**2. What is p(l(s))?\nAnswer: 162*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3 and -1144?\nAnswer: -3432","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 9 + 6*s**3 + 4*s**3 - 22 wrt s?\nAnswer: 30*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1714673 to the power of 1\/3, to the nearest integer?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(2\/59)*n*n**(-2\/41))**11 assuming n is positive.\nAnswer: n**(26213\/2419)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + s + 30 = 0, -5*s + 11 = -5*b - 79. Let v = b - -30. Suppose 2*k = 4*j - 64, -k - 15 = -3*j + 33. What is the lowest common multiple of v and j?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = -3*o + 10, o + 0*d = 4*d - 2. Determine i, given that -238*i + 0*i**o - 2*i**2 + 238*i = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 49341*h**2 + 130520*h wrt h.\nAnswer: 98682","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1662\/9695*(10\/(-18))\/(-1)?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 1166 divide 896644672?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 3158 a factor of 259256010?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Total of -2.701 and 1654.\nAnswer: 1651.299","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 52 - -316?\nAnswer: 368","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3671920 to the nearest integer?\nAnswer: 154","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 + 1.01. Suppose 9*y - 7*y + x = -14, 0 = -2*y - 5*x - 30. Let v be y\/17*(-4)\/(-10). Which is the biggest value? (a) h (b) 0 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3.82 times 1\nAnswer: -3.82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 1613 * -1\nAnswer: -1613","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 264209812?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hqhhqhhqhq. Give prob of picking 2 h.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 582009372 and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 8409131 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of m**2*p**3 - 4*m**2*p**2 + 2*m**2*y**2 + 15814*m*p**3*y + 1804*p wrt y?\nAnswer: 4*m**2*y + 15814*m*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 8 + -65?\nAnswer: -5a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -124282*q - 3*q**2 + 124312*q + 35 - 40. Give o(9).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l**3 - l**2. Let b(q) = -4*q**3 - 5*q**2 - 6. Determine b(j) - 5*x(j).\nAnswer: j**3 - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2795079853 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j = 3*h - 5 - 1, -3*h = 0 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1092 is divided by 36.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1213 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*k - 4*k**3 + 2*k + 2*k**3)*(0 - 2 + 4).\nAnswer: -4*k**3 - 4*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 81840495?\nAnswer: 3, 5, 11, 563, 881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -580 + 281. Sort 0.5, 0.2, c in ascending order.\nAnswer: c, 0.2, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 969*o - 582*o - 796*o in the form n + g*o and give g.\nAnswer: -409","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 times 0.010646?\nAnswer: 0.0042584","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -1 + 2 - 3*v + 2*v**3 - 23*v**2 + 22*v**2. Let s be x(2). Let y(k) = -k**2 + 6*k + 11. Let w be y(s). Solve -8 = -6*i + w*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) -0.8 (b) 6 (c) -4658 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = -l - 3*l. Suppose 18*u = 52 + 20. Calculate the greatest common divisor of l and u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6.19 in 4\/5, -1, -16, 3\/7, -4?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h**(-4))**(-40))**(-2\/63))**47 assuming h is positive.\nAnswer: h**(-15040\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -4*k**2 + k + 5017. Let o(z) = z. Determine l(o(t)).\nAnswer: -4*t**2 + t + 5017","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 23\/78 + 1\/26. Let u = -2465 - -2465.3. Put u, 2\/9, 1\/5, t in increasing order.\nAnswer: 1\/5, 2\/9, u, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2010 + -1121. Is 95 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 2*w**3 - 3*w**2 + 3. Let f(l) be the second derivative of -l**5\/10 + l**4\/6 - l**2 - 38*l - 1. Determine -6*f(v) - 4*h(v).\nAnswer: 4*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.2, -1\/2, -0.048, -1\/61, 2?\nAnswer: -0.048","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -1746 + 1679 - (-36 - 1)\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:52 PM and 10:23 PM?\nAnswer: 211","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = -16*f + 192. Let m = 1599 - 963. What is the least common multiple of m and f?\nAnswer: 2544","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = -2 - 0. Is 11 a factor of s\/9 + 598\/18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c**2 - 2*c - 1. Let t be h(-3). Let d = 13 - 24. Sort t, d, -2.\nAnswer: d, t, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2301*v**5\/5 - 5523*v**4\/5 - 4233*v**3\/5 - 1101*v**2\/5 - 18*v = 0. Calculate v.\nAnswer: -1, -3\/13, -10\/59, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -109 minus 0.26764?\nAnswer: -109.26764","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-2\/23)\/j)\/(j**(1\/11)*j))\/(j**2*(j\/(j\/j**(-2)))\/j*j)*j**5*j**(-3\/7)*j*j**(-3)*j**(-1\/4)\/j assuming j is positive.\nAnswer: j**(-6067\/7084)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 12 and 2\/6*-1 - 57\/(-9)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 - h + 41 - 3 in the form n + m*h and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2526530711 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(((sqrt(84)\/sqrt(4))\/sqrt(3) + sqrt(7))**2 + -2).\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5\/3 + 4\/3. Let v be 16016\/462 + 420\/(-12). Which is the nearest to z? (a) 4 (b) -2 (c) v (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 7, i: 4}. What is prob of picking 2 i?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ummmwumummono. What is prob of sequence onmm?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-1 - -5) + -3)*-1. Suppose -180 = -2*z + 208. Let t be ((-198)\/z - -1)*(28 + -27). Which is greater: a or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 333037740 a multiple of 60?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 2*t - 4*t. Suppose -4*v - 5*u = -55, -v + t = 3*u - 9. What are the prime factors of v?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*p - 4*q - 56, 3*p + 49 - 12 = q. Let n be (-1)\/(-2)*2 - -39. Let w be p*(3 + n\/(-12)). Solve -2*x + x = w for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 9870894?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the third derivative of -13*h**5\/60 - h**3\/3 - 41*h**2. Let f(j) = -3*j. Calculate o(f(z)).\nAnswer: -117*z**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-44)\/(-10) - 4\/10. Let x(f) = -87*f**2 - 393*f - 11 + 86*f**2 + 401*f. Let t be x(d). Solve 0 = t*v + 1 - 26 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m**2 + 4*m - 4. Suppose -260*d - 66 = -282*d. Calculate the lowest common multiple of b(-5) and d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -42 + 25 + (-2 + 7 - 10)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 1, n: 6, o: 2, b: 4, c: 2}. What is prob of sequence bnrn?\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1939\/196 + -10)\/((3\/4)\/(-3)). Let p(n) be the first derivative of -37 - 3\/35*n**5 - 3\/7*n**3 - d*n**4 + 6\/7*n**2 + 12\/7*n. Let p(b) = 0. Calculate b.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(600)*6)\/((sqrt(72) + 1*sqrt(72) - sqrt(72))\/sqrt(6)))**2 + 2*(6*(sqrt(2) - sqrt(8)) + -1)**2.\nAnswer: 24*sqrt(2) + 1946","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q\/((q*q**(1\/9)*q)\/q*q)))\/q)**(1\/29)*(q*q**(-22)*q*q)\/q**(2\/5) assuming q is positive.\nAnswer: q**(-25267\/1305)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*t + 8 = -40*t - 2*x, 3*x + 12 = -4*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9085393?\nAnswer: 1847, 4919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 38 + -41. Let f be (-2)\/2 + 119 - r. Let x = -121 + f. Solve 2*l - 5*h - 4 = 0, l = -h - x*h - 5 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8 + -1 + (6 - (3 + -3))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 224 - 282 = -3*h - 4*i, 0 = -3*h - 2*i + 62. Solve -19*y = -h*y - 3 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -20222*f**5 - f**2 + 37836*f.\nAnswer: -404440*f**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101000111000 + -10101?\nAnswer: 101000100011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 4*k + 1. Let a(m) = -4*m - 1. Suppose -5*b + 2*b = -s - 15, -b = s - 1. What is s*p(c) - 2*a(c)?\nAnswer: -4*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 461, 516, 587, 680, 801, 956?\n\"Answer: d**3 + 2*d**2 + 42*d + 416","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l - 8. Let b be k(-12). Suppose z - b*z = -15, 2*z = -2*f + 24. Suppose -f = -v + 5. Solve -5*u + v = 4*g, 6*g = -5*u + 4*g + 16 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 300971?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the third derivative of 97*v**5\/60 - 14*v**4\/3 + 25*v**2 - 1. What is the second derivative of m(o) wrt o?\nAnswer: 194","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the first derivative of 3\/2*x**2 + 14*x - 88. Determine l(-6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5221245541 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*d**4*j + 300*d**3*j - 16*d**3 - 12*d**2*j + d**2 + d*j + 23 wrt d.\nAnswer: 48*d*j + 1800*j - 96","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -331525245814 less than 0.2?\nAnswer: 331525245814.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -85 - 11.5. Let n = -97 - u. What is the closest to 2\/19 in n, 4, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ifnh when four letters picked without replacement from fonyiififhn?\nAnswer: 1\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.3 - -3.7. Let u be (10101\/189)\/37 - (-8)\/(-6). Which is the nearest to 1? (a) u (b) z (c) 16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0 + -1 - (-3)\/3. Suppose d - 7 + g = 0. Calculate the remainder when ((-80)\/(-6))\/(48\/72) is divided by d.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -20916*-519\nAnswer: 10855404","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10960.\nAnswer: 2, 5, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -6099982 - -387.9379\nAnswer: -6099594.0621","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + 0 + 17*2\/10?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 3, d: 9}. Give prob of picking 2 k.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of -10 and -32258.3.\nAnswer: 322583","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3\/4*o**4 + 63\/4 - 39*o - 9*o**3 + 63\/2*o**2.\nAnswer: 3*(o - 7)*(o - 3)*(o - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5689, -11378, -17067, -22756?\nAnswer: -28445","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -102 = 4*h - 106. Suppose -2*l + 0*l + 2276 = 2*k, h = -k. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ljfkp. What is prob of sequence jk?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**(9\/2)\/v*v**(-2))**(-16\/5)\/(v**14*v*v\/v**14*v)**(1\/2) assuming v is positive.\nAnswer: v**(-19\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 2 = 10. Let f(b) be the first derivative of -1 - 2\/3*b**3 - 2*b - o*b**2. Factor f(q).\nAnswer: -2*(q + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1760 and 113760.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = 2*r - 60, -3 = w + r - 16. Suppose 0*t - 216 = -t + 3*n, 0 = 5*t + 4*n - 1080. What is the remainder when t is divided by w?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14996432 a multiple of 169?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 18*f**3 + 87*f**2 + 32*f + 216. Calculate o(-5).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3854\/(-574) - (-2)\/(-7)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(11) + 1 + 0 + sqrt(11) - (sqrt(44) + -1 + sqrt(11)))**2 + (sqrt(99)*-3 - 3*(sqrt(11) + 1))**2.\nAnswer: 68*sqrt(11) + 1612","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 26, 4, 5, 7 in decreasing order.\nAnswer: 26, 7, 5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the third derivative of x**6\/60 - x**5\/60 - x**4\/24 - x**3\/6 + 3*x**2. Let w be u(2). What is the second derivative of -j + 9 - w + 3*j**5 wrt j?\nAnswer: 60*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 187 is divided by ((-24)\/14)\/((-2)\/28)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 2*g - 1360002 = 2*t, 0 = -3*t + 4*g - 2039992. What is t rounded to the nearest one hundred thousand?\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 20 - -2. What is the least common multiple of c and 4?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 159*p**4*z - p*z + 75*p + 84293*z wrt p?\nAnswer: 636*p**3*z - z + 75","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.2 (b) -0.14 (c) 72711\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -93 + 96. Suppose -3*g - 5*r = 25, -2*r - 25 = g + l*r. Which is the third smallest value? (a) 4 (b) -0.3 (c) g (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15 - 15 + 3*o)*(18*o + 23*o - 25*o).\nAnswer: 48*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*t - 278 - 46 = 0. List the prime factors of ((-585)\/t)\/(1\/20).\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 20 (b) -0.4 (c) -7\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sum -14993.58 and -0.03.\nAnswer: -14993.61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x\/(x\/((x\/(x**(2\/15)\/x))\/x))*x**(10\/3) assuming x is positive.\nAnswer: x**(21\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5086, -19452, -43142, -76156?\nAnswer: -118494","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 5*m**3 - 125*m**2 - 120*m + 2. Determine r(-1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: What is 112427017 to the power of 1\/5, to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1 + (-6)\/4 - (-4)\/(-8). Let l(a) = a**3 + a**2 - a. Let f be l(i). What is the units digit of -11 + 156 + 3\/f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z**2\/3 + 5734*z\/9 + 779000\/9 = 0.\nAnswer: -2375\/3, -164","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 211*z + 625*z + 116*z - 5*z + 999*z in the form y*z + v and give y.\nAnswer: 1946","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 + 0 - (3 - (-1 + 4))) + (-3148 - -3167).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -1250*j + 13433. Calculate c(11).\nAnswer: -317","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = 4*g. Find the third derivative of g*l**3 - 2*l**3 - 2*l**2 + 5*l**2 wrt l.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*v = 22*v, 4*r - 3*v - 2660 = 0. Calculate the highest common factor of 19 and r.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of (12 - 4)\/(14\/7 - 0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 30 times 177497\nAnswer: 5324910","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**1)**44\/((c\/c**5)\/c*c*c**0*c*c))\/(c**(-1\/6)*c**(-3\/4)*(c\/c**(-1\/3))\/c**(1\/12)) assuming c is positive.\nAnswer: c**(269\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.9 - 0.8. What is the third smallest value in -2, 3, u?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -13639755 + -1460245. Round o to the nearest one million.\nAnswer: -15000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 13080 to the nearest integer?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*a**4 + 18722*a**3 + 2*a**2 - 5*a + 95822?\nAnswer: 8*a**3 + 56166*a**2 + 4*a - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 566 - 7518 = 93*a - 442 for a.\nAnswer: -70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:48 AM and 12:02 PM?\nAnswer: 194","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 574 and 16541245?\nAnswer: 287","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -65.475 rounded to the nearest integer?\nAnswer: -65","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -501 by 3.\nAnswer: -167","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:26 PM and 10:32 PM?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9 + 3 + 47*n - 10.\nAnswer: 47*n + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -2*y**3 - 5*y**2 - 5. Let u(o) be the first derivative of -8 + 0*o**2 - 2*o - 1\/4*o**4 - 2\/3*o**3. Calculate 2*h(q) - 5*u(q).\nAnswer: q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 102 = d - 4*r, 5*r = 3*d - 105. What are the prime factors of d?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from {y: 2, k: 2}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 15 and 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 94*y + 98*y - 10*v = 195*y + 16, 2*y = -2*v - 6 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*u + 217 = 185 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -11 + (-19)\/((-285)\/120). Put 23, a, 2 in descending order.\nAnswer: 23, 2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w**2. Let h(j) = -68*j - 28. Let a(z) = -z + 2. Suppose -6*y - 504 = 12*y. Let t(q) = y*a(q) - 2*h(q). Give t(o(g)).\nAnswer: -164*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + 3 + (-15 - -2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 2*l - 3. Let c be j(-4). Let r = c - -15. What are the prime factors of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 491 + -480. Suppose -22*b - v*b + 165 = 0. Solve -16 = -3*z - 3*h - 1, -z = 2*h - b for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o*o**0\/o))**12\/((o\/(o*(o*o**(-5))\/o*o))\/o**(-1\/2)) assuming o is positive.\nAnswer: o**(15\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 33105 (base 7) to base 8.\nAnswer: 20136","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0 (b) -4 (c) 5 (d) -0.3 (e) 0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -43 + 8.032775.\nAnswer: -34.967225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r + 2. Let w be h(1). Let i = -9 - -10. What are the prime factors of 7 - i*-2 - w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24 + -27 + 86 + -29 + 20.\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4047275 by -445.\nAnswer: 9095","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxxxhxxhxxhxxh. What is prob of sequence xxx?\nAnswer: 30\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 384 divide 1934976?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3\/4 + 1273\/(-76). What is the smallest common multiple of (729\/(-108))\/(2\/v) and 6?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 10345 + 323?\nAnswer: 11112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 184*b + 5224275 = 5230347 for b.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -1a7081 (base 11) to base 8\nAnswer: -1152703","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the first derivative of -71 - 14*t + 1\/3*t**3 + 0*t**2 + 53\/5*t**5 + 0*t**4. What is the third derivative of s(h) wrt h?\nAnswer: 1272*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 20*f**3 + 772*f**2 + 4904*f + 5952.\nAnswer: 4*(f + 6)*(f + 31)*(5*f + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:20 PM and 9:19 PM?\nAnswer: 359","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/b**14)**28*(b\/(b**19\/b))**(-43) assuming b is positive.\nAnswer: b**367","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -880587*z**4 - 460*z - 289.\nAnswer: -10567044*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4577 (base 10) in base 4?\nAnswer: 1013201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*d**2 + 2*d**2 + 71*d + 47*d - 36*d - 3*d.\nAnswer: -5*d**2 + 79*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1194560945 + -0.5.\nAnswer: 1194560944.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:23 AM and 6:18 PM?\nAnswer: 595","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 smaller than -3\/196070?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*a**3 + 5*a**3 - 31*a**3 + 12*a**3 + 8*a**3.\nAnswer: 4*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p = 7*h - 3*h - 16, 0 = 4*p - 4*h - 4 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -435*o + 435*o + o**3 + 2*o**3 + 120 - 122 + 1181*o**2.\nAnswer: 3*o**3 + 1181*o**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 876 is divided by 149.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 71 - -8. Suppose -4*q + 329 = -m. Let g = -52 + q. What are the prime factors of g?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 90884 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = d + 4*o - 234 + 239, 37 = 4*d - 3*o for d.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 24 and (-12 + -4)*-2 + -2.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 48046 (base 11) to base 6.\nAnswer: 1252354","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 1, r: 4, o: 2, s: 3, z: 1}. Give prob of picking 1 z, 2 s, and 1 o.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zsz when three letters picked without replacement from zzzzzzszzzzzz.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*x**2 + 3*x**2 + 4*x**2 - 39*x - 159*x**2 + 39*x + (-5*x + 0*x + 3*x)*(x - 1 + 1).\nAnswer: -157*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 479177?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l + 47*v - 22 = 51*v, -2*l + 3*v = -16 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 35, -6, 100 in increasing order.\nAnswer: -6, 35, 100","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8524 - 8394. What is the remainder when 1097 is divided by v?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -9 - -6. Calculate the remainder when (18\/4)\/(i\/(-6)) is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -28 divided by -6.\nAnswer: 14\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*q + 11 + 5. Let n = 0.0737 + 0.0263. What is the third biggest value in -1\/27, -0.2, q, n?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3667*c - 4440*c + 715*c = 3025*c - 395846 for c.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -475, -961, -1463, -1987, -2539, -3125, -3751?\n\"Answer: -t**3 - 2*t**2 - 473*t + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.47 - -0.89. Let f = k + -2.8. Let n = 0.22 + f. Round n to 1 dp.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the first derivative of 2 - 1\/6*w**6 + 0*w**3 + 0*w**5 + 0*w + 0*w**4 + 3\/2*w**2. What is the second derivative of d(t) wrt t?\nAnswer: -20*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -20, -18, 10, 76, 192, 370, 622?\nAnswer: 960","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 81521065?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -3*(4\/(-3) + 0). Suppose -2*y + 4*n - 5*n = -110, -x*n + 175 = 3*y. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -16*o + 2. Let g(v) = -32*v + 5. Let k(u) = -5*d(u) + 3*g(u). Is k(-9) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 76443397 + 310.\nAnswer: 76443707","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 563714 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 143\/51300 and 13\/135.\nAnswer: 51300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + i + 97 = 2*i, -5*w = i - 161. Let l(n) = -42*n**2 + 145*n + 31. Let y be l(3). Calculate the highest common divisor of w and y.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 294 (base 12) in base 10?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d\/d**(-13))\/d)\/(d*d*d**(-10))*d*d*d**(-7)*d**(-5))**25 assuming d is positive.\nAnswer: d**275","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 176.9*0.002\nAnswer: 0.3538","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1)\/((-8)\/(-3) + -3). Suppose 10 = 4*g - 2*r, -p*g + 10 = -2*r - 2*r. Suppose y + 1 = 4*m, y + 4*m - g*m = 17. What is the units digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -239\/126642 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -0.0673 * -3\nAnswer: 0.2019","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 528 minutes after 12:44 AM?\nAnswer: 9:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d**3 + 1. Let u be i(0). Let c(x) = -u + x + 1 + 0 - 3. Determine c(-3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = -3*u - 7, -5*u = -3*p + p - 7. Let k(r) = 14*r - 6. Let z(v) be the second derivative of -v + v**2 + 0 - 5\/6*v**3. What is p*k(x) + 11*z(x)?\nAnswer: x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 47874 and 948?\nAnswer: 95748","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u = 46*u - 164 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/3*-1)\/((-53)\/159)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8414 - -8832. Calculate the least common multiple of 722 and u.\nAnswer: 7942","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/45)\/(17\/51)*(-300)\/(-30)?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -7249, -14471, -21691, -28909, -36125, -43339?\n\"Answer: d**2 - 7225*d - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1109*h**3 + 751 wrt h.\nAnswer: -3327*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 11*y - 859. Let w be r(78). Let j(z) = 2*z**3 - 15*z**2 - 2*z. Let m(d) = d**2 + d. Calculate w*j(p) - 2*m(p).\nAnswer: -2*p**3 + 13*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 + 23 + 3)*(8*f**3 + f**3 - 8*f**3).\nAnswer: 33*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n - o = 3*o - 27, -3*o + 29 = -4*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -45303.453+27.333\nAnswer: -45276.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 275743780 divided by -184444\nAnswer: -1495","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 82 minutes after 2:27 PM?\nAnswer: 3:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -487 - -679.3302782?\nAnswer: 192.3302782","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 12 + -7. Let s = 2 + 0. Let q(n) = 3*n - 3*n + i + n**3 - n**s. Let v(k) = -k**3 + k**2 - 3. What is 3*q(w) + 5*v(w)?\nAnswer: -2*w**3 + 2*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3086730*h*t**3 - 2449*h*t**2 - h*t + 4*h + t - 4 wrt t?\nAnswer: 18520380*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that -3*f**3\/2 - 975*f**2\/2 - 13275*f = 0.\nAnswer: -295, -30, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 4*g. Let w(o) = -114173*o. Give w(c(i)).\nAnswer: -456692*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17609985 divided by 2.\nAnswer: 17609985\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 74\/5 of a decade?\nAnswer: 148","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/(-30)*21\/(-7))\/((-52)\/364).\nAnswer: -21\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c**4\/9 + 9802*c**3\/3 + 1554946*c**2\/9 - 261608*c\/3 = 0. Calculate c.\nAnswer: -53, 0, 1\/2, 7404","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -122.075417 from 2.33.\nAnswer: 124.405417","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3)\/(9\/(-6)) + 2. Let i be 7\/k + 3\/12. Find the third derivative of 2*z**3 + 3*z**6 - i*z**3 - 3*z**2 + 6*z**2 wrt z.\nAnswer: 360*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/12*(-160)\/(-100)?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14.8*4.5.\nAnswer: 66.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (20\/(-740))\/(54\/(-108)).\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4117958.\nAnswer: 2, 13, 41, 3863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 110475 + -72185. What are the prime factors of d?\nAnswer: 2, 5, 7, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d**3 - 12*d**2 - 16*d + 4. Let j be q(-11). Find the third derivative of -7*o**4 + 2*o**2 + j*o - 59*o wrt o.\nAnswer: -168*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = -3 - 7. Let w(h) = -l*h + h**2 + 2*h. Let x(r) = 3*r**2 + 6*r**2 + 5*r**2 - 9*r**2. Calculate x(w(d)).\nAnswer: 5*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-2)\/6)\/(14 + 39500\/(-2820)). What is the highest common factor of b and 8977?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 19554.5412001 - 19543.5412. Let a = 0 + 11. Let m = a - j. Round m to 6 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54*r + 52*r = 3*w - 4, 0 = 2*r + 2 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r - 5*j - 22 = 0, 0 = 5*r + 2*j - 10 - 6 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*w + 3*x + 26, 3*w - x = 5*w - 8 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 771028043.\nAnswer: 523, 1474241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 9873529 to the power of 1\/4, to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*v + 0*v + 3*v)*(v - v - 2*v + (5 - 3 + 1)*(-3*v + 5*v - v)).\nAnswer: -4*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*z + 0 + 0)*(0 + 1 + 2)*((18 + 55 + 16)*(-2 + 0 - 2) + 4 - 2 + 1) to w*z + n and give w.\nAnswer: -2118","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 590 times 0.01369?\nAnswer: 8.0771","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 45 - 26. Let s = 1 + c. Let t(p) = p**3 - 19*p**2 - 21*p + 29. What is the smallest common multiple of 6 and t(s)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1903, 3807, 5703, 7585, 9447, 11283, 13087, 14853?\nAnswer: 16575","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 479225?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q**2 - 8*q + 4. Let i be (6\/7)\/((-102)\/(-21) - 5). Give z(i).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k**3 - 3*k**2 + 2. Let b be v(3). Suppose -b*j = -0*j - 20. List the prime factors of 144\/j + (-4)\/10.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6\/7*(-749)\/(-214). Solve -k*m - 4 = -2*t - 2*m, 0 = 2*m for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from plblawc. What is prob of picking 1 c, 1 b, and 1 p?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 14\/(-77) - (-112)\/11. Suppose -5*z - 2*g = g - 13, -r = -4*z - 2*g. What is the second derivative of f - f + z*f + 2*f**2 + 0*f wrt f?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 2*j + j. Let y be (-9)\/18*j*10. Does 7 divide (-2)\/10 - 212\/y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -54*l - 3161. What is g(-131)?\nAnswer: 3913","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 82858236*k**2 - 206169. Let b(a) = 7234*a**2 - 18. Give 68723*b(u) - 6*w(u).\nAnswer: -7234*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 23046*o**2 - 23047*o**2 - 4*o + 3*o + 1 + 40*o**4 in the form f + b*o + j*o**4 + l*o**2 + n*o**3 and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 275769?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h - 80*y + 75*y - 1 = 0, -2*h + 3*y - 2 = 0 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of -16464022 and 0.01.\nAnswer: -164640.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 v when two letters picked without replacement from vhdbbbdvahee.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8 and 736.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 701 - 705. What is the fourth biggest value in -0.08, 2\/13, s, -0.7?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 29 - 29.3. Let x = f - 4.4. Let p = x + 3.7. Which is greater: p or 1\/16?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -690 + 688. Which is the fourth smallest value? (a) 3 (b) -4\/7 (c) s (d) 39\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 2*d + 6. Let g(j) = -j**3 - 5*j**2 - 2*j. Give g(d).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g**3 - 3*g + 2. Let k be f(2). Let p = -89 - -86. Let b be p\/(-9) - 55\/(-15). Solve k = 5*v - b*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*z - 15 = 5*z + 4*h, -z + 2*h = 3. What is the second biggest value in -4\/3, z, -3?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 29 - 121 = 0. Calculate the smallest common multiple of p and 50.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1380149847.\nAnswer: 3, 331, 17159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19\/510 and 37\/761583?\nAnswer: 7615830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-8)\/(-10))\/(2\/35). Let j = m + -10. Find the first derivative of -2*s + 0*s - j*s**2 + 2*s - 1 wrt s.\nAnswer: -8*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 2*p + 13. Let z be i(-7). Put 5, 3, z in decreasing order.\nAnswer: 5, 3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1059244\/261 or 4057?\nAnswer: 4057","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 2*v - 0*v. Solve 0 = z + 2*z - v for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/x**1)**36*(x\/((x*x**8)\/x))\/x**(-2\/5))**(1\/17) assuming x is positive.\nAnswer: x**(-33\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 1, i: 1, k: 2, r: 2}. Give prob of picking 1 i and 2 r.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:41 PM and 9:12 AM?\nAnswer: 691","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = -w + 3*n + 1, -3*w + 13 = 2*n - 0 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -55 + 53.01. Let v = d + 2. Let c = 31 - 26. What is the third smallest value in c, 2\/13, -4, v?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*u - 5*d - 2, d = -21*u + 25*u + 3 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 8*r + 2. Let z(n) = -2*n - 19. Let q be z(9). Suppose -39*f = -44*f + 170. Let g = q + f. Determine p(g).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10218233?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the second derivative of -y**3\/6 + 11*y**2\/2 - 6*y. Does 3 divide b(6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*c + 16159*c**3 - 32316*c**3 + 16155*c**3.\nAnswer: -2*c**3 - 19*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1, 1\/12, -1\/2, -1\/162?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 103\/443094 and -5\/37219896.\nAnswer: 37219896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the third derivative of w**6\/60 - w**5\/30 + w**4\/24 - 12*w**2. What is the lowest common multiple of q(2) and 13?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1392\/29*(-3654)\/75168?\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31 = -3*k + 2*c, -2*k + c + 67367 - 67349 = 0 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 14*n**2 + n + 1. Let k = -10 - -8. Let i be s(k). What is the lowest common multiple of 6 and 132\/i - 3\/(-5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 4*c - 202. Calculate m(51).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6476 + -58333\/9. Calculate the common denominator of 49\/6436 and j.\nAnswer: 57924","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 171*w**2 - 10483*w - 46. Let k(o) = 15*o**2 - 953*o - 4. Calculate -2*g(y) + 23*k(y).\nAnswer: 3*y**2 - 953*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-2))**(-2\/47)*(s*(s**2\/s*s)\/s)**(-18\/11) assuming s is positive.\nAnswer: s**(-1648\/517)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 29429029*k**3 - k**2 - 11*k + 2904476?\nAnswer: 176574174","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 14969 from -0.3.\nAnswer: -14969.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80*b - 1076 = 76*b. Calculate the remainder when b is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 32661331 and 76.\nAnswer: 2482261156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 4 + (23 - (23 - -4))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 34088 to the nearest integer?\nAnswer: 185","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 25886 a multiple of 260?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 366760 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-31)\/(-62)*0\/2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 6441, 6447, 6453, 6459, 6465?\n\"Answer: 6*u + 6435","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qkq when three letters picked without replacement from {q: 7, k: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*g - 5*q + 65 = -6, -26*g + 34 = 7*q - 3*q for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t + 15 = 30 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 27 + 0)*(-1 + 1 + f) as c*f + h and give c.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - t + 4 = 0, 2*t - t + 4 = 0. Suppose c*l + l = 12. What is the units digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b**(-1\/3)*b)**9\/(b**(8\/7)\/(b\/((b**(-7)*b)\/b*b))))**(-2\/79) assuming b is positive.\nAnswer: b**(-292\/553)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that 4*n**4 + 448*n**3 + 12540*n**2 - 448*n - 12544 = 0.\nAnswer: -56, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 246 = 4*l + 2*l. What is the tens digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2 - -1. Suppose 1 + s = 4*f. Let q be f*(2 + -3)*3. Sort q, -2, 1 in ascending order.\nAnswer: q, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -2 - 0 - (-5 + 0\/(-6)). Suppose -2*i = 4*b - 2270 + 552, -3*b + 1290 = o*i. What is the units digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 1\/886902300 and 0 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -7 - 49 - (2 - 26)\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(50) + (sqrt(2450))**2 + 4 - sqrt(50) - 2*sqrt(2450).\nAnswer: -70*sqrt(2) + 2454","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the third derivative of 1\/2*s**3 + 11\/24*s**4 + 0*s + 1\/60*s**5 + 0 - 6*s**2. Calculate t(-9).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4029 - -4028.93829. Let p = -0.062 - s. What is p rounded to 4 dps?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the second derivative of -m**5\/20 + m**4\/36 + 3*m**3\/2 - 3*m**2\/2 + 52*m. Solve v(p) = 0.\nAnswer: -3, 1\/3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = -0*s - 5*r - 6, -4*s + 39 = -r. Suppose -5*a + 1 = -s. Solve -3*b - a*b + 12 = 4*k, -4*b + 12 = 4*k for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ba (base 12) in base 11?\nAnswer: 11a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h**3 + 28*h**2 - 28*h + 77. Let w be f(-29). Factor 36*a**3 + 32*a**5 + 82*a**2 + 24*a**4 - 98*a**2 - w*a - 28*a**5.\nAnswer: 4*a*(a - 1)*(a + 2)**2*(a + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4\/(-22) + (-21515)\/(-55) + 4.\nAnswer: 5, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p + 8198*q - 3008 = 8800*q, 2*q + 3*q - 3 = p + 6*q for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4279.9 - 4084. Round v to the nearest 10.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -o - 3*o + 5*j - 4, -2*o - 3*j = 24. Let u be 2 + (o\/(-3) - 0). What is the third derivative of h**2 + 4 - 4 + 0 + h**u wrt h?\nAnswer: 24*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43*a - 18795 + 3530 = 0. Does 9 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 42, 5, 74, -1263, 2\/11 in ascending order.\nAnswer: -1263, 2\/11, 5, 42, 74","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 8071699943 and 0.8?\nAnswer: 8071699942.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u. Suppose -7*k + 25 = -10. Let a(r) = 6*r**2 - 42*r**2 + 5*r - k*r. Calculate a(g(q)).\nAnswer: -36*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = -6*f + 2*b - 2, 0 = -5*f - 2*b + 20. What is the first derivative of 9*p**f - 4*p**2 - p**2 + 0*p**2 - 9 wrt p?\nAnswer: 8*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 9618 and 28854.\nAnswer: 28854","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -218*r**4 + 232*r**4 + 2*r**3 - 14*r**4 - 2*r**2 + r**3 + 25*r + 85*r**5 + 5 wrt r.\nAnswer: 1700*r**3 + 18*r - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-1)*o**(-3\/4)*o)**7)**(-9\/4) assuming o is positive.\nAnswer: o**(189\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -311535, -311538, -311541, -311544, -311547?\nAnswer: -311550","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oooosskskkssnskkss. Give prob of sequence okk.\nAnswer: 5\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (158\/316)\/((66\/5896)\/((-6)\/(-8)*2))?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -26659, -53315, -79971?\nAnswer: -106627","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6 - -10. Suppose 0 = -2*x - 5*f + 87, -q*x - 3*f = -5*x + 16. Calculate the highest common factor of 217 and x.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 4*f + 22 - 33 - f**2 + 2*f**2. Let k be w(19). Let q be (-4)\/(-30) + k\/(-495). Which is bigger: 0 or q?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 j when four letters picked without replacement from {j: 9}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by -2625.\nAnswer: -4\/2625","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 97541 + -97541.053371. Let m = -0.0733654 - k. Let g = 0.02 + m. Round g to 6 decimal places.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 243 - 86. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1 - (-8)\/(-12))\/((-86)\/9). Are -1 and m nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1 + (-22142)\/(-16) + 1. Let j = -1387 + h. What is the common denominator of -53\/2 and j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 4*f + 60 = 164, g - 20 = 3*f. Suppose -4*y = -g - 43. Let h = y + -14. Solve 7 = -5*w - 4*d, -3*w + w + 14 = -h*d for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -288279, -288538, -288971, -289578, -290359, -291314, -292443?\nAnswer: -293746","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 120 = -5*s, 2*x = 4*s - 0*x + 94. Let r = 32 + s. Let h = 12 - 3. Calculate the least common multiple of h and r.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3147 (base 9) to base 12\nAnswer: 1407","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 431375 and 1885?\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1123, 2248, 3373, 4498, 5623?\nAnswer: 6748","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1489 is divided by 409?\nAnswer: 262","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (575276\/91 - (-2)\/7) + 4. Differentiate b**3 + 96 + 6326*b - 76*b**2 - j*b - 2*b**3 with respect to b.\nAnswer: -3*b**2 - 152*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k**2 + k - 1. Let o be v(1). Suppose 6*i = 3*i + 9. Let y(f) = f - 2*f - f**i + 0*f + 2*f. Give y(o).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*r**3 + 3*r**2 + 5 - 4 + 4*r - 4*r**3 - r**2 to the form g*r**3 + s*r**2 + u + c*r and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 364890 is divided by 15520?\nAnswer: 7930","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 122*q + 1028 - 1516 = 0 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 85*c - 67*c = 22806. Is 19 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 393.41 rounded to the nearest one thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -2 + (-4*1)\/(-1). Let p = 2023\/1240 - 45\/248. Let i = p + 3\/4. Which is greater: i or h?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.029 - 0.339. Let j = -2.31 - s. Which is the nearest to -0.1? (a) 1 (b) -0.3 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6973 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 105004640 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*(0 - -33)*216\/(-216).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*f - 17*f - 10 = q, -4*q - 2 = -2*f for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 268*y**2 + 19*y + 18. Let c be i(-6). Let j = c - 4253. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/(-30)*8 - -2)\/((-605)\/1650)?\nAnswer: -36\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -112*c + 261. Is k(-55) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 824.6 - 759. Let v = a - 47. What is v rounded to the nearest 10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 616 is divided by 215.\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yuym when four letters picked without replacement from {y: 5, m: 2, u: 1, i: 2, l: 2, o: 1}?\nAnswer: 1\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-112)\/160*4\/(-49)*(-77)\/(-11).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 41347?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/21? (a) 0.3 (b) 0 (c) -0.0037 (d) 2 (e) -0.06\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2*(-6 + (-55)\/(-10)))\/(-5). Put 1, u, 2, 9 in descending order.\nAnswer: 9, 2, 1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 27 = -12. Solve 0*r + 5 = r + m, 0 = 4*r + 3*m - a for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -50902755 + -0.3.\nAnswer: -50902755.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 6*v**2 + 6*v**2 - v - v**2)*(59*v - 11 + 33 - 65*v).\nAnswer: 6*v**3 - 16*v**2 - 10*v - 44","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 16856?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9*b**2 - 3055398*b + 2036928.\nAnswer: 3*(b - 339488)*(3*b - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f**3 + 39*f**2 + 21*f + 812. Determine v(-39).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4828300 rounded to the nearest one hundred thousand?\nAnswer: 4800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 25 = -4*k + 2*a, -5*k = -4*a - 32. Solve -k*n - 20 = -4 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 100\/(3\/(3 + 0)). Suppose -v + 80 = 3*r - 180, -3*v + w = r. Calculate the remainder when 77 is divided by (2 + r\/(-10))*-2.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(231) + 2*sqrt(231) + sqrt(231) - sqrt(231)) + sqrt(231))*-2)\/((sqrt(88)*1)\/sqrt(8)))\/(sqrt(63)\/sqrt(729) - sqrt(56)\/sqrt(8)*4).\nAnswer: 72*sqrt(3)\/35","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*w**2 + 3*w**2 + 2*w**2)*((w + w - 4*w)*(w + 3*w - 2*w) + w**2 + 0*w**2 + w**2 + (-w + w - 2*w)*(-2*w + 2 - 2) - w**2 + 1 - 1 + 0 + 0 - 2*w**2).\nAnswer: -10*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 10, 1875, -2, 2\/3, 0.7?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -235 - 240 + w - 237 + 712.\nAnswer: w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*v**2*x**2 + 3*v**2 - 9*v*x**2 - 3*v - 32*x**4 + 207 wrt x.\nAnswer: -6*v**2*x - 18*v*x - 128*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/((-1 - -6) + -7) + -6.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -328284, -656569, -984854, -1313139, -1641424, -1969709?\n\"Answer: -328285*y + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 0*0.791\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-12)\/15*(28\/(-56))\/(21\/(-45)). Which is the fourth biggest value? (a) 2\/13 (b) r (c) -5 (d) -6 (e) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 131 = -0*j + 4*d, 0 = 3*j + 5*d - 76. What is the units digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1074 = 4*a - 3*v, v - 8 = -3*v. What is the units digit of a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + 1 - (79 - 68) - -8?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1130 = 12*l - 610. What is the hundreds digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (45\/12)\/(15\/20)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -6*q**3 - 3*q**2 + 5*q - 4. Let c be h(2). Let p be (-6)\/27 - 336\/c. List the prime factors of 446\/p - 64\/48.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 37605 - 75207\/2. Let j(a) be the third derivative of 0*a + 0 + 17\/30*a**5 - c*a**3 - 40*a**2 + 0*a**4. What is the first derivative of j(r) wrt r?\nAnswer: 68*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 (base 14) to base 7\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8 + -11. Let c = y + 6. Suppose c*u = -3*n, 3*u + 4*n = -0 - 1. Solve -b - u = -2 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 768833604?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Add -39.8 and 4025885.\nAnswer: 4025845.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 4 + 5)*(27 - 17 + 15)*(-2 - 4 + 2)*(0*m + 2*m + 0*m)*(-2*m + 3*m - 3*m).\nAnswer: 1200*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 91, 184, 277, 370, 463?\nAnswer: 556","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y + 3*w + 260 - 269 = 0, -12 = 4*y - 2*w for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4118?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-3)*((-5346)\/44)\/(-9)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 0.0129 times 4\nAnswer: 0.0516","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 12\/3 - (-3 + 0). Solve 0 = -3*s - 22 + r for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = 4*p - 6101, -44*s + 42*s = -5*p + 7635. What is p rounded to the nearest ten?\nAnswer: 1530","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that 3*f**2\/4 - 27*f\/4 - 33\/2 = 0.\nAnswer: -2, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.38 - -0.08. Let n = -19 - -23. Let u = 16\/7 + -94\/35. Put n, f, u in decreasing order.\nAnswer: n, f, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d + 11. Suppose -g + 6 = -3*g - 3*o, -4*g = 4*o + 8. Calculate the remainder when 31 is divided by q(g).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 4, j: 3}. What is prob of sequence jzjj?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 496778486.\nAnswer: 2, 248389243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is h in 6*h**5 + 33*h**4 + 9*h**3 - 132*h**2 - 60*h + 144 = 0?\nAnswer: -4, -2, 1, 3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 3*v - 21 + 15 = 0, 4*u + 5*v + 10 = 0. Solve -2*w - 19*w + 42 = u for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -82*z**3 - 74*z**3 + 152*z**3.\nAnswer: -4*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 49 + 172?\nAnswer: 210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -364176*s - 22632 = -363992*s for s.\nAnswer: -123","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -21 (b) -2\/15 (c) 4.97 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Do -8 and 0.02 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -89751, -179512, -269273, -359034, -448795?\nAnswer: -538556","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 12\/7*n**2 - 36\/7*n + 4\/7*n**3 + 20\/7.\nAnswer: 4*(n - 1)**2*(n + 5)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**3\/5 - 2885401*p**2\/5 - 3462474*p.\nAnswer: -p*(p + 6)*(p + 2885395)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 404322 (base 6) to base 16\nAnswer: 7d5a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 103 is divided by 62.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(1 + sqrt(171)) + (sqrt(171) - (0 + sqrt(171) - sqrt(171)))**2 + sqrt(171) + 3.\nAnswer: -6*sqrt(19) + 171","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 772, 1541, 2310, 3079, 3848?\nAnswer: 4617","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1424407, -1424443, -1424479, -1424515?\nAnswer: -1424551","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((47 - 47 - 3*h**2)*(4 + 8 - 4) + h**2 + 2*h - 2*h)*(-3*h + h + h) + 27*h**3 + 63*h**3 - 21*h**3.\nAnswer: 92*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 209 - 122. List the prime factors of k.\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 392867467*l*n**3 - 524873237*n**3 with respect to l.\nAnswer: 392867467*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -31\/95 and 44\/2489247?\nAnswer: 12446235","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -121, -182, -243, -298, -341?\nAnswer: -366","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8865.020551 + -8865. Round z to four decimal places.\nAnswer: 0.0206","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -2*i**3 - 4*i - 3. Let w be z(-3). Let o(q) = -72*q**2 - 2*q + 3. Let g be o(2). Let r = 296 + g. Calculate the greatest common divisor of w and r.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3036083770 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 36 and 2952.\nAnswer: 2952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17763914 is divided by 1103.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8.94 + 3.26. Let f = s - -6. Let o = f - 0.319712. Round o to five dps.\nAnswer: 0.00029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i**3\/4 - 457615*i**2\/4 - 74153313*i\/4 - 3003474897\/4 = 0. What is i?\nAnswer: -81, 457777","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 422 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*l - 2*l + 1984. Suppose -3*r + 221 = -l. Suppose -4*g = -r - 49. What is the tens digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-1)\/l**(-1\/6)*(l**(-1\/3)\/l)\/l**(1\/3) assuming l is positive.\nAnswer: l**(-5\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p - 3*h = 2, 813*p + 26 = 808*p + 3*h for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 60471, 53820, 47169, 40518, 33867, 27216?\n\"Answer: -6651*a + 67122","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 344 minutes after 4:50 PM?\nAnswer: 10:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 62916008 a multiple of 89?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y + 2*n = -2, 4*y = 4*n - n + 31 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -2637*r - 2035778. Give z(-772).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-252)\/378*(-2)\/(-8)*15*544\/(-40)?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = m, 4*r - 3*m + 10 = 3*r. Let n = -1 + 19. Let f(u) = 3*u**3 - 38*u**2 - 14*u + 18. Let v be f(13). Solve v*i + n = -5*c + c, r = -i for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 1.8, 0.5, -8, -1\/2, 27, 4\/3, -12?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 225.2081 minutes?\nAnswer: 13512.486","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by -7802896\nAnswer: 1\/1950724","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1375 is divided by 78?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/9, -29232, 2, -9\/40 in descending order.\nAnswer: 2, 4\/9, -9\/40, -29232","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 w when three letters picked without replacement from wqwqqw.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -b + -cc2cb5?\nAnswer: -cc2cc0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = j**2 - 3*j - 5. Suppose -t = 1 + 3, -5*o = -4*t - 41. Let h be b(o). Suppose -h*a = 2*x - 431, a = 4*x - 2*a - 901. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 82 minutes after 8:32 PM?\nAnswer: 9:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 3654061 (base 13) in base 14?\nAnswer: 234c397","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -50 - ((1 - (8 + -2)) + -11 + 45 + -20)?\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve g + 138*s + 2 + 23 = 159*s, 4*g = 5*s - 21 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 27596812?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 412150 by -82430.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 22660 and -0.6476?\nAnswer: -14674.616","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 3*n - 4 - 5 = 0, -2*d = -4*n. Let i = d - -3. Suppose -i*x + 7*x = 96. Is 3 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1031805?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 84*u = 41 + 1891. Let z(h) = -5*h + 110. Calculate z(u).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -5*m + 5. Let w(g) = -g. Let d(q) = -c(q) + 2*w(q). Let l be d(5). Which is smaller: 11 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v**3 - 31*v**2 + 29*v - 9. Let b(a) = -2*a**3 - 92*a**2 + 88*a - 28. Let q(j) = -6*b(j) + 17*g(j). Factor q(r).\nAnswer: -5*(r - 3)*(r - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 3*d**3 + 2*d**2 - 5*d + 10. Let v(c) = -c**3 + c**2 + c - 1. Let n(y) = -f(y) - 2*v(y). Calculate the lowest common multiple of n(-5) and 7.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -105, -135, -193, -291, -441, -655, -945?\n\"Answer: -2*n**3 - 2*n**2 - 10*n - 91","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -55.22 - -55.13462. What is n rounded to three dps?\nAnswer: -0.085","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 times 405?\nAnswer: -405","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the second derivative of 7 - 1\/30*x**4 + 2*x - 1\/3*x**3 - 6\/5*x**2. Factor f(t).\nAnswer: -2*(t + 2)*(t + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6916.241 micrograms in grams?\nAnswer: 0.006916241","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 747.261 * -0.106\nAnswer: -79.209666","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 37*r**3 + 17*r**2 - 16*r - 1. Does 2 divide c(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 43 = 42. Let u(o) = -7*o**2 + o. Determine u(m).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the second derivative of 7*l**3\/6 - 3*l**2\/2 - 4*l - 22. What is a(4)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 106 and 212?\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -32 - -32.44. Let f = h + 2.56. What is the closest to -1 in f, 0, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3436 divided by 1?\nAnswer: 3436","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 3*f - 10. Let v be y(5). Let a(t) = t + 1. Let u be a(4). Are u and v non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 87\/3 - (2 + -1). Let b = j - 17. Suppose -5 = 3*f - b. Solve 0 = -l - 6 + f for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.48 - 1.98. Which is the third smallest value? (a) -3 (b) 10 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (65\/40 + 21\/(-14))*(-3)\/(-3).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -15 + 6. Let z(u) = -u + 2. Let l be z(h). Suppose g = 25 + l. Does 9 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 2*o - l - 14 = 0, 5 = o + 2*l. Find the second derivative of 0*u**3 - 2*u**3 - 3*u + 4*u**o wrt u.\nAnswer: 12*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnnnnnnnntnnnnn. Give prob of picking 2 n.\nAnswer: 13\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.3 (b) 2\/541 (c) -0.9 (d) 0.4 (e) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 20540209 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -16*i + 54. Calculate y(3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -116*h - 96 = -122*h. Let x(r) = 48*r**2 - 1. Calculate the remainder when x(-1) is divided by h.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -79\/3636 and -47\/1347.\nAnswer: 1632564","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 13985500, 13985499, 13985498, 13985497, 13985496, 13985495?\nAnswer: 13985494","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vpjvqccjpjccqppqppp. What is prob of picking 1 v and 3 q?\nAnswer: 1\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 22 + -9. Suppose 3*i + j = 76. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 6\/(-4)*4776\/(-90). Let n = 80 - m. What is the nearest to 2 in 1, -1\/2, n?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 728*i**3 - 107*i**3 - 350*i**3 + 925*i**3.\nAnswer: 1196*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = 5*p - 264, 4*g = 2*g - 4. Suppose 5*w = -8*x + 3*x + 45, 4*w = 5*x + p. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*o**2 - 2*o**3 + 3*o**3 - 5*o**4 + 1 + 4*o**4 in the form r*o + n*o**4 + u + v*o**2 + q*o**3 and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*g**2 + 76 + 5*g**2 - 10 to the form i*g**2 + j + d*g and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 412 + -410. Let v = -1.2 + -1.8. Which is the nearest to w? (a) v (b) 6 (c) 1\/12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-11)*f*f*f**(20\/9) assuming f is positive.\nAnswer: f**(-61\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4 + 12. Suppose 3*q + 5*c = -16, 0 = 3*q - y*q - 5*c - 10. What is the derivative of q - 1 - 8*b - 4 + 4 wrt b?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -6953151 + 11*v - 2*v**4 + 6953115 + 2*v as l*v**3 + b*v + c + h*v**2 + u*v**4 and give b.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the third derivative of m**5\/20 + m**4\/4 - 240*m**2. Let p(g) = 2*g. Calculate p(w(y)).\nAnswer: 6*y**2 + 12*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.281 + 0.011. Let k = -0.2719 - z. Round k to four dps.\nAnswer: -0.0019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*k - k**2 + 14*k - 1504 - 9*k + 16*k - 12*k to j + x*k**2 + z*k and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 27986235 a multiple of 67?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -24155444 + -2?\nAnswer: -24155450","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 15 and 98060.\nAnswer: 294180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k\/k**(-2)*k**(1\/5)*k**(-4)\/(k**(-2)*k) assuming k is positive.\nAnswer: k**(1\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g**2 + 4*g + 1. Let m be o(3). Let b = 3 - 2. Suppose -5*v = -m*v - b. Let i(r) = -r**2 + r + 3. Let h(q) = -q - 1. Determine v*i(l) + 3*h(l).\nAnswer: -l**2 - 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0103338 rounded to 3 dps?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1 - 54?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the second derivative of -16*b**6\/135 - 20*b**5\/9 - 203*b**4\/18 - 268*b**3\/27 - 32*b**2\/9 + 1003*b. Let r(t) = 0. Calculate t.\nAnswer: -8, -4, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*a**2 + 390*a.\nAnswer: 5*a*(a + 78)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1167.8 - 209.8. Let y = u + -958.092. Put 0.2, y, -0.4 in decreasing order.\nAnswer: 0.2, y, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-80)\/25)\/(1*(-6)\/15). Suppose 17 = k*o + 49. Does 8 divide ((-155)\/o - -1) + 23\/92?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 120 - 15*o**2 - 4*o**4 - 236 + 116 + 20*o**3 - o**4.\nAnswer: -5*o**2*(o - 3)*(o - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2210202200 (base 3) in base 12?\nAnswer: 27b69","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Divide -57067 by -293.\nAnswer: 57067\/293","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 13 + -1300112?\nAnswer: -1300033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4875887 millilitres in litres?\nAnswer: 0.0004875887","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 9*c - 7*c - 2*h - 10, -4*c - 5*h = -20 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6295 - -6922. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7957 - 7795) + (2 - 114).\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -1458891, 1, 3 in ascending order.\nAnswer: -1458891, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*f**2 - 3*f**2 - 3038477*f**3 + 1519243*f**3 + 1518655*f**3.\nAnswer: -579*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 505*w**2 - 11 - 509*w**2 - 8*w + 1 in the form v + f*w**2 + u*w and give f.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b**4\/7 - 2314714*b**3\/7 - 11573589*b**2\/7 - 13888314*b\/7 = 0. Calculate b.\nAnswer: -3, -2, 0, 2314719","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 6*((-17)\/(-2) + -4). Let y = b - 25. Suppose s = 2*k - 2, 0*k = -2*k - 3*s - 6. Solve -4 = y*p - k for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*c + 0*c - c**2 + 2*c**2 - c**2 + c**2 + 2*c**2 + 2*c - 2*c - c**2 - c**2 + c**2 + (3 - 5 + 0)*(5 - 5 - 2*c**2) + 3*c**2 + 10 - 10.\nAnswer: 9*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -759257\/237244 - -845\/259. What is the common denominator of 1\/24 and t?\nAnswer: 5496","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -7 - (2 + (-23566)\/2618). Let m = 15\/1309 + d. What is the fourth biggest value in -1\/7, m, -0.1, 2\/11?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 207*p**2 - p - 582*p**2 + 4 - 1555*p**2 + 96*p**2 - 4206*p**3 wrt p.\nAnswer: -25236","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -110, -233, -358, -485, -614, -745?\n\"Answer: -a**2 - 120*a + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*z + 315 = 29*z. What is the highest common factor of z and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b*b**4*b*b\/(b**(7\/9)\/b) assuming b is positive.\nAnswer: b**(65\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 98 = q + 546, -2*w = -q - 324. List the prime factors of w.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5440*a + 5120*a = 640 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -18832, -74922, -168282, -298912, -466812, -671982, -914422?\n\"Answer: -18635*q**2 - 185*q - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 14 - -52. Calculate the greatest common divisor of 22 and z.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16241 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((-3 + sqrt(80)*-1 + sqrt(80) - (sqrt(80) - -2*sqrt(80)*-1)) + -2)**2.\nAnswer: -40*sqrt(5) + 109","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2283 + -2291. Which is the third biggest value? (a) 5 (b) 4 (c) 0.2 (d) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -199 + 199 + 3*f.\nAnswer: 3*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:39 AM and 9:59 AM?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -151 divided by -7.\nAnswer: 151\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 19338 + -17715.8. Is u equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 238 is divided by 60.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 3*v**2. Let i(z) = -z + z + 2*z. Let n(h) = h. Let p(j) = 3*i(j) - 8*n(j). What is p(d(f))?\nAnswer: -6*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 19 = -2*z - 2, k = 3*z - 1. Solve 3 = 2*u + k for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.149 + -7.151. Let d = -7 - s. Suppose 0*o - 2*o + 10 = -2*c, 7 = -5*c - o. Sort c, d, -8.\nAnswer: -8, c, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 485426 to the nearest integer?\nAnswer: 697","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 2*p - 27610 = 2*g, -2*p + 10 = 0. What is the third derivative of -g*l + 27600*l - 3 - 8*l**2 + 101*l**4 wrt l?\nAnswer: 2424*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -8*c**2*d**3*k - 46*c**2*d**2*k - 15*c*d*k + 2*d**3*k - 22*d**3 + d**2*k wrt d.\nAnswer: -48*c**2*k + 12*k - 132","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 9*t**3 + 5*t**2 + 109*t + 474. Determine o(-5).\nAnswer: -1071","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 101390 is divided by 1913.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 20*c**2. Let k(l) = -70*l**2. Calculate k(d(p)).\nAnswer: -28000*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*l + 0*l + 2*l + (6 + 5*l - 6)*(369 + 594 - 350) to the form h + n*l and give n.\nAnswer: 3067","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-10)\/8*1\/(-10). Let d be -3 - (5\/(-5) + -5). Let v = -18 + 18. What is the second smallest value in v, l, d?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 22761 - 17496. Is b a multiple of 81?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -2415, -3895, -5375, -6855, -8335?\n\"Answer: -1480*y - 935","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -142, -525, -1162, -2053?\n\"Answer: -127*n**2 - 2*n - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 143306151 and 873?\nAnswer: 291","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 368590 a multiple of 145?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1028*j**3*v**4 - j**3*v**2 - j**3 - 56*j**2*v**2 + v**5 - 5*v wrt v.\nAnswer: 24672*j**3*v + 60*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/9 and 83\/16?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1215 and 23070?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 < 12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 3, s: 3, x: 1}. What is prob of picking 2 s?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5488520 and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h - 6 + 16. Calculate the remainder when (-7 - -5)\/(h\/(-12) + -1) is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 2*f**2 + 15*f - 4*f**2 + 1 + 4 + 0. Let c be u(7). Suppose -c*t + 2665 = t. What are the prime factors of t?\nAnswer: 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 255276100?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 9986039983 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the second derivative of l**6\/180 + l**5\/24 + l**4\/6 + l**3\/3 + l. Let w(y) be the second derivative of a(y). What is the tens digit of w(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 211.9126 + -212. Round s to two decimal places.\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -87 divided by 2801630\nAnswer: -87\/2801630","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nznzi. Give prob of picking 2 z.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-32)\/(28\/(-7)) + (1 - 2). Suppose -s*k + 2491 + 2213 = 0. Does 56 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*j - 56 = 10 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -7*z**3 + 4*z**2 - 4*z. Let n(o) = 8*o**3 - 5*o**2 + 5*o. Suppose -5*k + 20 = 0, 3*k = 5*m + 8*k - 35. Suppose m*i + 15 = -0. Give i*x(u) - 4*n(u).\nAnswer: 3*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i + 4*i - 4*i + (-5*i + 5*i - 2*i)*(-1 + 3 - 1) + 0*i - 3*i + i)*(-2*i**2 - 2*i + 4*i + i**2).\nAnswer: 3*i**3 - 6*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 2 r when three letters picked without replacement from eerbrrreebere?\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-10)\/(-9))\/(152\/(-684)). Let m = 57 + -56. Let y(x) = 2*x**3 + 7*x**2 + 1. Let z(l) = l**2 + 1. Calculate m*y(h) + q*z(h).\nAnswer: 2*h**3 + 2*h**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2 (b) -98\/9 (c) 2\/7 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*o**2 - 1 + 27*o - 3*o**2 - 18*o to d + q*o + y*o**2 and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 40.5 - 34.5. What is the smallest value in y, -1, 0.01?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 7*i + 3. Let k be v(-1). Which is the second smallest value? (a) 6 (b) k (c) 0.4 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 432 minutes after 5:24 AM?\nAnswer: 12:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x, 2 r, and 1 b when four letters picked without replacement from xehevrrb?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 29 + -29. Let d(u) = -u**2 - 4*u + 1. Let r be d(-3). Suppose z = r*l - 12*l + 104. What is the highest common divisor of l and 65?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 507289 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 936 and 25584.\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12 - (10 + 1 - (280 + -254))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -93 + 467\/5. What is the nearest to k in 0.1, -2\/9, 3\/2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -3*m - 7. Let s be h(-5). What is the remainder when -2*(-3 + s\/4) is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 minutes after 1:09 AM?\nAnswer: 1:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29519 is divided by 90.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o**3 + 4*o**2 + 2*o + 4. Suppose -4*x + 2*x + 28 = 0. Suppose -c - c = -x. Let z = c + -10. Give v(z).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23234 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23550 divided by 1.\nAnswer: -23550","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s**3 + 3*s**2 + 5*s - 1. Let b be n(4). Suppose l = -p - 1 + 5, 4*p - b*l = 16. What is the biggest value in -0.3, p, -1\/8?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 w when two letters picked without replacement from {w: 2, a: 2, b: 2, j: 6}.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -2*k**3 + 23*k**2 - 6*k. Let r(z) = 3*z**3 - 47*z**2 + 13*z. Let l(o) = 13*h(o) + 6*r(o). What is the third derivative of l(d) wrt d?\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2\/10)\/(2\/(-12)*-2). Which is the second smallest value? (a) -4 (b) -1\/98 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*a**2 + 0*a**2 - 4*a**2)*(-1686*a**2 - 149846*a + 149846*a) + (2*a**3 - 4*a**3 + a**3)*(a + a + 0*a) as m*a**4 + c + p*a + t*a**3 + j*a**2 and give m.\nAnswer: 3370","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-195)\/273 - (10 + (-837)\/84)*-4.\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (52 - 52) + (0 - 4)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 66, 1, 194, 4, 8\/7?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-h + h - h)*(-102*h + 3 - h**2 + 48*h - 114*h) + 3*h**3 - 6*h + 6*h to b*h**3 + d*h**2 + f + g*h and give g.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -z**2 + 21*z - 87. Let h be d(6). Let q(r) = -r**3 + 5*r**2 - 3*r + 2. Determine q(h).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 156371 to the nearest integer?\nAnswer: 395","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15*m**2 + 24*m**2 - 48*m**2)*(3*m + 0*m - 2*m)*(0*m + 3*m - m).\nAnswer: -18*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 26*b - 8. Let o(v) = -9*v + 3. Suppose 13*w = 10*w + 33. Let m(f) = w*o(f) + 4*x(f). Give m(-1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 324775?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 47 + 253. List the prime factors of o.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000072847632 to 6 dps.\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zxzxzxxxxz. Give prob of sequence xx.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1635 and 456735.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n. Let u be f(-4). Let h be (4\/8)\/(1\/u). Let t be 3 + 1 + (-3 - -2). Solve -s = 4*d + 11, -h*s + 4*d = t*s - 41 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 3 r when four letters picked without replacement from zrzzzrzmmr?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*n - 22 - 20 = 0. Let o(a) = -a**3 + 12*a**2 - 36*a - 7. Let z be o(n). Let x(g) = g**2 + 9*g + 14. What is x(z)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 85164 divided by -564.\nAnswer: -151","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 2*g + 10 - 51)*(3*g + g + 5 - 2).\nAnswer: 8*g**2 - 174*g - 135","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -73 + 60. Let k = d - -12. Which is the closest to k? (a) 0.4 (b) -4 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 297.57 - 283.4. Let i = x + -14.17002034. Round i to 6 decimal places.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5031 = 18*p - 9*p. Which is bigger: p or 560?\nAnswer: 560","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 609.\nAnswer: 3, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + 0 - (3 + -3 - -3)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -113 + 789\/7. What is the closest to -3 in -3, k, 5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 17 in 1\/52, 1\/6, -0.7, -11\/9, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the first derivative of -t**6\/480 - t**5\/240 - t**2 + 1. Let b(a) be the second derivative of x(a). Factor b(y).\nAnswer: -y**2*(y + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6*((-24)\/9 - (7 - 10))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n**2 + 8*n + 4. Let b be l(-8). Differentiate -6 + 15 + 4*h**b + 34*h**4 + 4 with respect to h.\nAnswer: 152*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*k**2 + 0*k**2 - 2*k**2)*(0 + 0 - 3*k).\nAnswer: -3*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 119083 divided by -1\nAnswer: -119083","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = -2*y - 5*n, n + 42 = -4*y + 34. Suppose 3*m + 16 + 11 = 0. Let a = 4 + m. Sort a, y, 2 in decreasing order.\nAnswer: 2, y, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by -1110\nAnswer: -1\/370","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 100 (base 2) to base 8\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3344 - 112 = 26*f + 8*f + 20*f for f.\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 571?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1050839, -1050841, -1050843, -1050845, -1050847?\nAnswer: -1050849","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -37*d + 40*d. Is d >= -2\/569?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*v + 2019 = 5789. Calculate the smallest common multiple of 286 and v.\nAnswer: 1430","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-5)\/30 + (-2216)\/(-48). What is the highest common factor of 230 and j?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -399*l + 120 = -398*l + 60*t, -l = -2*t + 4 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:06 AM and 6:10 PM?\nAnswer: 664","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vc when two letters picked without replacement from {c: 9, v: 8, w: 2}.\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/16*(-1 - 1). Let d = 17 + -9. Let k = d + -8.2. Which is the second smallest value? (a) k (b) y (c) -4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 364\/1128 - 2\/6. Let j = n - -195\/658. Suppose 5*r - 3*z + 1 - 3 = 0, 5 = 5*z. Which is smaller: j or r?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 155696 and 3405850?\nAnswer: 27246800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -215, -187, -129, -29, 125?\n\"Answer: 2*s**3 + 3*s**2 + 5*s - 225","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 72748 and 52?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0002313514 rounded to seven decimal places?\nAnswer: 0.0002314","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -63 + 62.7. Which is the biggest value? (a) t (b) -0.5 (c) 14 (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7\/22 = 273\/193?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2872974092?\nAnswer: 2, 17, 2803, 15073","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -4*f. Let j(z) = -21*z + 1. Give k(j(h)).\nAnswer: 84*h - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 715 by 16.\nAnswer: 715\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(192))\/sqrt(4)*-1*6 + (sqrt(96)\/sqrt(2)*-5 + -2)**2 + 5 + 4.\nAnswer: 128*sqrt(3) + 1213","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -18 + 22 - 12\/2. Is -13*2\/q + -2*1 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 3*h**2 - h**2 - h**2. Suppose -7 = -g - 0*g. Let c(w) = -16 + 16 + g*w - 4*w. What is c(d(b))?\nAnswer: 3*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 - 1 = -m - 4*w, 5*m = -5*w - 30. Let c(v) = v**3 - 5*v**2 + 7*v - 1. Let r be c(3). Put r, m, -27 in decreasing order.\nAnswer: r, m, -27","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9421 is divided by 21?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 6 = -r. Suppose 105 = 3*s + 4*k, -s + 69 = s + r*k. Suppose -37*q = -s*q + 178. Calculate the remainder when q is divided by 18.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 114 and 171?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 761246.3l in millilitres?\nAnswer: 761246300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -96\/115 or 6?\nAnswer: -96\/115","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 385 and 1980?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 342533 and 11084.\nAnswer: 223331516","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -86 - -87. Let o be 4 + -2 - (-3)\/(3 - 6). Calculate the highest common factor of g and o.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -206526, -412990, -619454?\nAnswer: -825918","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 44.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 2356852, 2356840, 2356830, 2356822, 2356816, 2356812, 2356810?\n\"Answer: g**2 - 15*g + 2356866","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 53 and 1.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 8918398\/47 less than or equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 68945 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 189 = -509. Suppose -k + h = -17. What is the tens digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*f - 3*b - 50, 0*b + 25 = -5*b. Suppose 40 = 2*n - f*n. Let v be (-2)\/4*n\/2. Solve -4*p + 2*y = 18, -2 - 10 = p - v*y for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 154 - 151. Calculate the common denominator of (-28)\/10*190\/(-72) and 2 + 1532\/(-40) + l\/(-15).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 14\/10 + (-8)\/20. Suppose -s + 9 = 4*h - 1, 5*s + 3*h - 16 = 0. Suppose 3*m + 3*v - 4*v = 5, -4*m - 2*v - 10 = 0. Sort s, z, m in descending order.\nAnswer: s, z, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z, 1 w, and 2 t when four letters picked without replacement from {l: 2, t: 4, z: 1, w: 2}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 114358964 is divided by 1574.\nAnswer: 1568","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 22, -1, 0 in descending order.\nAnswer: 22, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*r - 33*r - 1 + 3 + 20*r.\nAnswer: 5*r + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 2 - 3*v - v**2 + 0 - 4. Let s(d) = -d + 1. Let l(p) = 2*p**2 + 5*p + 7. Let n(z) = l(z) - 2*s(z). Determine -7*c(j) - 3*n(j).\nAnswer: j**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -127 - -129. Let m(c) = -c**3 - 19*c**2 - 18*c + 2. Let w be m(-18). Solve -k*j + 1 = f - 1, -2*j + f = w for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5975 - -10342. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 11) to base 16.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 3*k - 0*k + 3*f, f = -4*k - 1. Suppose -k + 11 = 2*m. Suppose -4*y + 18 = 6. Solve 0 = y*l, 8 = m*t - 4*l + 3 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -194, -823, -1966, -3701, -6106?\nAnswer: -9259","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 32 - 8?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 - -2 - (73 - 61)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3\/4 (b) -4 (c) 389 (d) -146\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -137 + 122 = -5*u. Suppose 3*x - 12 = -u, g = -5*x + 10. Let z = -4 + 4. Put -5\/4, z, -1, g in ascending order.\nAnswer: g, -5\/4, -1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g\/(g*g**(-39)))*g)\/g*g**19*(g**11)**(25\/3) assuming g is positive.\nAnswer: g**(218\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -20500284 divided by -21\nAnswer: 976204","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p**(2\/11))\/p)**(1\/37)*(p\/p**3)**5 assuming p is positive.\nAnswer: p**(-4068\/407)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*q - 3*q - 3*q.\nAnswer: -3*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 11*x**2 + x - 1. What are the prime factors of p(2)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3946?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000053822182 to five decimal places.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3 + 1057?\nAnswer: 1060","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 10*q + 317. What is the remainder when f(-30) is divided by 14?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 - (-1370)\/(-70) - (9760\/56)\/10?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 13434, 26872, 40310, 53748, 67186, 80624?\n\"Answer: 13438*g - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 13\/(-26) - (-3)\/5. Let s(g) be the second derivative of w*g**5 + 0 + 2*g + 0*g**4 + g**2 + 0*g**3. Differentiate s(a) wrt a.\nAnswer: 6*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = 2*h + b - 16, -b + 12 = 4*h. Let j(z) = -z**3 + 4*z**2 + 2*z. What is the smallest common multiple of 4 and j(h)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.9705 to 2 dps.\nAnswer: 3.97","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 19 and 494?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 69\/22 and 27\/40?\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k = 4*h - 32, -3*h + 6*h = -27*k + 120 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -y**2 + 1483 - 1483.\nAnswer: -y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2 and 251.\nAnswer: 502","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*sqrt(1300) + 3 - (-1*sqrt(1872) + -2).\nAnswer: -8*sqrt(13) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.189956 decades in millennia?\nAnswer: 0.01189956","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*z**3 - 6447*z**2 - 4125*z wrt z.\nAnswer: -12*z - 12894","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 10 + -6. Let s = 0 + w. What is the units digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 26 - 259761637.\nAnswer: -259761611","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 283993 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 41*b + 11 - 67 - 12 - 15. What is the units digit of v(25)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2779 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rlrillkkl. Give prob of sequence li.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 369\/2 - 184. Factor 1\/4*f - v*f**3 + 0 + 0*f**4 + 0*f**2 + 1\/4*f**5.\nAnswer: f*(f - 1)**2*(f + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1202001210021 + 2?\nAnswer: 1202001210100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*q = -13*q + 364. Suppose 44 = 5*j - q. Solve 3*u - 9 = -2*u + 2*n, -5*u - 4*n = -j for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1233 - -4479. List the prime factors of o.\nAnswer: 2, 3, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 20, 5, -916.\nAnswer: -916, 5, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*n**2 + 2*n**2 - n - 12*n**4 + 33*n**3 + 24*n**4 - 9*n**4 to d*n**3 + w*n**2 + v*n**4 + t*n + h and give v.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((sqrt(19) + sqrt(171) + 2)**2 + -2) - (sqrt(114)\/(sqrt(54) + (sqrt(54) - -2*sqrt(54))) + 0).\nAnswer: 767*sqrt(19)\/12 + 1224","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a**3 - 6*a**2 + 9*a + 8. Let d be s(-7). Let j be (-4)\/d - (-119)\/51. Solve 5*i = j*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100001101001101 + -11000010101?\nAnswer: -100100101100010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -43 - -45. Let u(o) = o**3 - 2*o**2 - o - 4. Let w be u(3). What is the first derivative of -v**w + 2 + v**l - 3*v**2 wrt v?\nAnswer: -6*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2539 - -2543. Put 8, -3, m, 0, -1 in decreasing order.\nAnswer: 8, m, 0, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/6 (b) -1\/3 (c) 0 (d) 53 (e) 0.7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 9012893 to the nearest integer?\nAnswer: 208","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4754*g + 2 - 29 + 19 + 1 + 7)*(-2 + 8 + 1) to the form b + w*g and give w.\nAnswer: -33278","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 85*t - 17*t - 6*t - 33*t - 52*t**3 - 4*t.\nAnswer: -52*t**3 + 25*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7602 to the nearest integer?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u - 3*x = -57, -x - 2*x - 68279 = 10*u - 68362 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 39b46782 + 2?\nAnswer: 39b46784","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1498, 2694, 3890, 5086, 6282?\nAnswer: 7478","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -7, -1\/8, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**3\/2 - 148796*x**2 - 4761856*x - 38095872.\nAnswer: (x - 297624)*(x + 16)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 301 - 70 = 3*o. Let b be (-1398)\/34 - (-2)\/17. Let j = o + b. What is the tens digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 179\/942690 and 118\/46663155.\nAnswer: 93326310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 129*w*z**4 - w*z**3 - 120*w*z - 2*w - z wrt z.\nAnswer: 1548*w*z**2 - 6*w*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -36\/173 and -3\/3898.\nAnswer: 674354","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -329 + 330. Which is the smallest value? (a) q (b) -3 (c) 2\/5 (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 358*u - 4162. Calculate t(12).\nAnswer: 134","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.2, 0.005, 3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -535402100 (base 6) to base 4.\nAnswer: -210100000110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -520052, -520155, -520330, -520577?\n\"Answer: -36*q**2 + 5*q - 520021","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t - 4*t = 0, 10*k = 3*k - 5*t + 28 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6720)\/(-4320))\/(7\/108)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 9 = 3. Suppose 2*u - 4*u + p = 0. Suppose u*i - 52 - 56 = 0. List the prime factors of i.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.5 greater than or equal to -586?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*z = -1126 - 2276. Suppose 10*p - z + 148 = 0. Suppose 1380 = -8*c + p*c. Does 7 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 4 - 2 = 0. Let j be 36\/(-2)*b\/(-9). Find the second derivative of u**3 + j*u - 11*u - 6*u**3 - 7*u wrt u.\nAnswer: -30*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/(-42))\/((-2)\/(-1 - 3))?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -2991, -5980, -8967, -11952, -14935, -17916?\n\"Answer: f**2 - 2992*f","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -19892731303 minus -0.5?\nAnswer: -19892731302.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -13*q**3 - q. Give n(-1).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -5. Let l(k) = -k**2 + 65*k - 60. Let b(r) = l(r) - 12*t(r). Let y(c) = -21*c**2. Determine b(y(h)).\nAnswer: -441*h**4 - 1365*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 183 - 318 + 135 - 4*x.\nAnswer: -4*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0964621 to 2 decimal places.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 77?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve o - 5*j - 1 = 0, -4*o - 3*j + 4 = -0 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -668*w + 347. What are the prime factors of d(-10)?\nAnswer: 7027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p**2 - 3*p + 1. Let n(t) be the first derivative of -t**3 + 4*t**2 - 3*t + 3. Let w(m) = -3*n(m) - 8*u(m). Find the first derivative of w(i) wrt i.\nAnswer: 2*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2036 + -108260?\nAnswer: -106223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*t**2 + 2*t**4 - 2*t**2 + 1 - 1 + t**4 + (0*t**4 + 0*t**4 - t**4)*(2 + 0 + 0) + (23*t**3 + 77*t**3 - 27*t**3)*(-3*t + 2*t + 2*t).\nAnswer: 74*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 300 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -11 + 120435?\nAnswer: 120424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 364.2 - 323. Round d to the nearest 10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -468 - -457. What is the third smallest value in -1, 2\/7, p?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -117 divided by 1860?\nAnswer: -39\/620","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -79 + 130. Suppose 3*k - 219 = -5*p, 3*p = 4*p - 3*k - j. What is the remainder when p is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 48 and 29832.\nAnswer: 59664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*h - 4*h + 4*h)*(10*h**3 + 0*h**3 - 4*h**3) in the form k*h**2 + o + w*h**4 + i*h**3 + g*h and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p**3 + 8*p**2 - 2*p + 9. Let d be t(8). Let f be 2 + (-5 - d) + 8\/(-2). Solve 3*l + f = -6 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 21\/14*4\/12\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3075995 and 12285.\nAnswer: 581363055","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y + 3*v - 14 = -2*y, -36 = -4*y - 4*v. Let x = y - 0. What is the highest common divisor of x and 52?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-55)\/25 + 6 + -3.\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-3\/11)*b*b\/(b**15*b*b))**(5\/3) assuming b is positive.\nAnswer: b**(-280\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = -49 + 139. Let r(a) = 16*a - 30. Let w be r(11). Suppose -w - 574 = 24*u. Is u smaller than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33 = -86*p + 75*p. Suppose -4 = -4*v + 36. Solve -2*n + v = p*n - 5*y, 4*y - 2 = -n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4294+-0.3\nAnswer: -4294.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the first derivative of 217*s**6\/3 + 3*s**4\/4 + 1741*s**3 - 1004. Find the third derivative of n(o) wrt o.\nAnswer: 26040*o**2 + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b**3 + 8*b**2 + 2*b - 11. Let f be h(8). Solve -d - 2*i + 6*i - f = 0, 5*i - 15 = 3*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l + 12 = 2*l. What is the lowest common multiple of l and 2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.1391 - -0.1391. Suppose -2*l = -4*t - 12, 15 = -5*t + 2*l - 7*l. Which is the closest to 2? (a) 28 (b) r (c) t (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2*-1)\/((-533)\/(-11726)). Put -5, j, 2, -0.25 in increasing order.\nAnswer: j, -5, -0.25, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(56)\/sqrt(8))**2*3 + -4*sqrt(7)*-4.\nAnswer: 21 + 16*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u**2 - 1. Let t(l) = -5*l**2 + 2*l - 10. Let o(q) = -6*d(q) + t(q). Let n(i) = -i**2 - i + 1. Give -3*n(r) - o(r).\nAnswer: 2*r**2 + r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 56\/3 - 2\/3 and (-7)\/((-14)\/36) - -2?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22 = -4*g + 15*v - 17*v, 0 = 4*g - v - 13 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -10078*c**2*w**2 + 18842*c**2 + 2*w**2 - 2 wrt w.\nAnswer: -20156*c**2*w + 4*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 117 and 39.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -197*d**2 + 98*d**2 - 9 - 4 + 13 + 88*d**2.\nAnswer: -11*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -80.2, 16, -5, 5, -3 in decreasing order.\nAnswer: 16, 5, -3, -5, -80.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the second derivative of 1\/3*a**3 + 0 - a - 5\/12*a**4 + 0*a**2. Find the second derivative of d(r) wrt r.\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20770 to the power of 1\/3, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 3*v**4 + 6*v**3 - 6*v**2 + 6*v - 12. Let c(x) = -x**4 - x**3 + x**2 - x + 1. Let w(a) = -6*c(a) - y(a). Differentiate w(o) with respect to o.\nAnswer: 12*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 52833961?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1 + 0 - (-1 - 0). Let s = 0.34999 + -0.03999. What is the second smallest value in s, j, -1?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34795 at least as big as 34793?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -42 + 12. What are the prime factors of -4 + 3 + -3 - h?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 minutes after 2:01 PM?\nAnswer: 3:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y**3\/2 + 23911*y**2\/2 - 3475019*y\/2 + 126643685\/2 = 0. What is y?\nAnswer: 73, 23765","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.1 + 1. Suppose 2*v + 3*h + 321 = 0, -3*v - 153 = 5*h + 326. Let k = v + 335\/2. Which is the nearest to k? (a) t (b) -5 (c) -0.04\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*t - 5*s - 15 = -t, -5*s + 5 = 0 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1644)\/548*24\/(-27)*(27\/138)\/(-3)?\nAnswer: -4\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3663 + -2770. What is the greatest common divisor of l and 323?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0 + 5 + (78\/3)\/2. Suppose 3*a + 3*w - u = 0, 6*w = -2*a + 2*w + 10. Let b(j) = 9*j + 0 - 7 - 2 + 2*j**2 - 3*j**2. What is b(a)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 41 - 21 = 0. Let f = 5 - -1. Solve f*r - 2*r + 2*x - c = 0, 5*r + x = 25 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:00 PM and 2:54 AM?\nAnswer: 414","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -37284, -73507, -109732, -145959?\n\"Answer: -j**2 - 36220*j - 1063","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 819*z**3 + 828*z**3 + 813*z**3 + 875*z**3 - 4182*z**3 + 816*z**3.\nAnswer: -31*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 3 - 1)*(-4 + 4 + k) + 6*k + 7*k - 31*k + (5 + 2*k - 5)*(3 + 1 - 3) - 4 + 5*k + 4.\nAnswer: -10*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dds when three letters picked without replacement from dpddpdqsqqpdqpmq.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -415 + 7735?\nAnswer: 7320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-166)\/415)\/(((-30)\/125)\/((-8)\/(-30))).\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.11 - 0.61. Which is the biggest value? (a) d (b) 0.3 (c) 0.06\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/((r\/(r**(-4)\/r*r)*r)\/r))\/r)\/r*r*r*(r*r**(-7))\/r assuming r is positive.\nAnswer: r**(-11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -194.9 + -49.1. Let h = 247 + t. Put 0.04, h, 1\/4 in ascending order.\nAnswer: 0.04, 1\/4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -12070*i**3 - i**2 - 8*i - 17. Let k be s(-7). Round k to the nearest 100000.\nAnswer: 4100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 9*u + 25. Let s be l(-11). Let j = -7 - s. What are the prime factors of j?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = w - 3*a + 4, 7*w = 6*w + a for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve q = -3*h - 27, 5*h + 2*q + 5252 = 5201 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000178223299 rounded to six dps?\nAnswer: 0.000178","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 7756 (base 11) in base 16?\nAnswer: 27f1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 11874*p + 8. Let z be w(8). What is z rounded to the nearest ten thousand?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1407 = 3*o + 15*q - 18*q, 2*o = -5*q + 966. What is the lowest common multiple of o and 1032?\nAnswer: 11352","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = 3*y - 112, 3*i + 5*y - 2*y = 162. Suppose -z + 44 + 41 = 0. Let x = z - i. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 318 divide 68806?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52*n**4 + 700439*n**3\/3 - 4190038*n**2\/3 - 11218952*n\/3 - 71744\/3 = 0. Calculate n.\nAnswer: -2, -1\/156, 8, 4484","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -1738*l**2 + 13*l + 932. Let w(u) = -876*u**2 + 6*u + 466. Let m(p) = 9*w(p) - 4*x(p). What is the second derivative of m(v) wrt v?\nAnswer: -1864","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-2 + 1)\/((170\/(-6020))\/17)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2736 - -10945\/4. Let n = 7\/24 - 1\/8. Sort 1\/3, -2, n, m in increasing order.\nAnswer: -2, n, m, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yv when two letters picked without replacement from yqyvyyyyyyyyyyyqy.\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1118, -2224, -3332, -4442, -5554, -6668?\nAnswer: -7784","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from asasdasssa. What is prob of sequence sd?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 5352677489 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 57.6 + -156.6. Put j, -3, -2 in descending order.\nAnswer: -2, -3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**2\/3 + 1\/3.\nAnswer: -(f - 1)*(f + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Total of 19.87984 and 1.8.\nAnswer: 21.67984","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -12*(-6)\/126 - (-370)\/14. Solve 5*g + t = -3*z, 4*g + 3*z = z - 20 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2031920?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -23981.9121 rounded to the nearest integer?\nAnswer: -23982","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 100 is divided by 56?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -2*g**3 + 57*g**2 + 542*g - 65. Calculate l(36).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = 4*d - 9, -7*y = -2*y - 2*d - 1. Solve a + 6 = y for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 8, v: 5, u: 1, m: 2}. Give prob of sequence mmu.\nAnswer: 1\/1680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -402 divided by -154919\nAnswer: 402\/154919","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 4764338047?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3263433 is divided by 1802.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2061 - -2068. Solve 3*q - 2*m + g*m + 10 = 0, -3*q + 2*m = -25 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x**3 + 11*x**2 + 20*x + 21. What is p(-9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 23*g**5*j - 4*g**4*j - g**2*j - 6*g*j - 23*j wrt g.\nAnswer: 1380*g**2*j - 96*g*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -11019, -44055, -99087, -176091, -275043?\n\"Answer: 4*c**3 - 11022*c**2 + 2*c - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wa when two letters picked without replacement from aaadwsaab.\nAnswer: 5\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -17\/831 and 22\/2493?\nAnswer: 2493","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5318 + 5388. Calculate the smallest common multiple of 112 and j.\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*l**2 - 8685249*l + 121592898.\nAnswer: 3*(l - 2895069)*(l - 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -45410 * -188\nAnswer: 8537080","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 0.002 times -25497\nAnswer: -50.994","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the second derivative of 0*j**2 + 6 + 19*j - 1\/54*j**4 + 43\/27*j**3. Let y(c) = 0. Calculate c.\nAnswer: 0, 43","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(187) + (sqrt(187) - -1*sqrt(187)))*-4 + sqrt(187))\/sqrt(11) + -2 + -2.\nAnswer: -11*sqrt(17) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 68325 and 8400?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 736721?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0\/(1*(3 + -1)). Suppose -5*l - 11*q = -9*q - 6265, z = 3*l + 4*q - 3773. Round l to the nearest one hundred.\nAnswer: 1300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-4)\/(-4))\/(15184642\/2169233 - 7) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 + 0 + -3 - (-1 - 1)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2\/4)\/(3\/(-78)). Let d = -12 - b. Suppose -k + d = -0. Is k greater than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 l when three letters picked without replacement from {l: 4, x: 3}?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -524, -907, -1200, -1397, -1492, -1479, -1352, -1105?\n\"Answer: m**3 + 39*m**2 - 507*m - 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 767420463?\nAnswer: 3, 163, 1569367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 152 and 770032.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = -18*o - 5. Let y(p) = -8*p**3 + 2*p**2 - p - 2. Let g be y(o). Suppose 1242 = -3*t + g*t. Does 9 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 64 and 317216?\nAnswer: 634432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 + 7474\nAnswer: 7474.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t - 8 = -4*t. Suppose t*c = -o + 20, 4*o + 4*c = -0 + 68. What is the greatest common divisor of o and 154?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15, 31, 5.\nAnswer: -15, 5, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 8 in -1, -6, -1.1, 2\/73?\nAnswer: 2\/73","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -12 + 17. Let n = 2 - -1. Suppose 3*t = 5*k + 2, -1 - 5 = -n*k. Solve -2*p - 2*p = -u - t, -g*u = -p - 18 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1980*n + 2387*n = 35816 for n.\nAnswer: 88","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 5*n - 5*k = -96, n - 4*k = -35. Let i = 9 + n. Let j = 1\/12 - -7\/6. Find the common denominator of j and i.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1196*x = -1206*x + 620. What is the highest common divisor of 899 and x?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 2 and 0.04607507.\nAnswer: 2.04607507","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2921 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9041.\nAnswer: 9041","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aauuuuuudiudu. What is prob of sequence uu?\nAnswer: 14\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*(z*((z\/(z**5*z))\/z)\/z)\/z*z**(2\/3))\/((z\/z**(-2\/11))\/z*z*z**9) assuming z is positive.\nAnswer: z**(-512\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 3 (b) -432 (c) -0.04 (d) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let 0 + a**3 - 1\/3*a**4 + 0*a - 2\/3*a**2 = 0. Calculate a.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j, 1 a, 1 x, and 1 c when four letters picked without replacement from {j: 2, c: 1, a: 4, x: 4}?\nAnswer: 16\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, u: 7, d: 10, j: 1}. What is prob of picking 2 j and 1 u?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 0 - -1f?\nAnswer: 1f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7848.927mg to kilograms.\nAnswer: 0.007848927","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -70 - 1561?\nAnswer: -1621","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the first derivative of 7*h**3\/3 + 29*h**2\/2 - h - 14. Does 15 divide i(9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 149505*s**2 - 4. Let b(m) = -7*m**2. Calculate f(b(w)).\nAnswer: 7325745*w**4 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 84336 + 5?\nAnswer: 84342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 51 + -42. Calculate the remainder when (-2)\/(-1) + (19 - -3) is divided by z.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w**3 - w**2 - 2*w + 34. Is 3 a factor of m(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t, 1 j, and 1 f when four letters picked without replacement from fjctttcfctttfdcxfj?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (15*4\/36)\/(((-430)\/(-2064))\/((-9)\/12))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 96056074 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -23*r**4 + 12*r**3 + 6*r**2 + 5*r. Let j(k) = -8*k**4 + 4*k**3 + 2*k**2 + 2*k. Let f(z) = -6*b(z) + 17*j(z). Factor f(s).\nAnswer: 2*s*(s - 2)*(s - 1)*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52*l = 180 + 184. Let u(y) = 28*y**2 + 42*y + 27. What is the remainder when u(l) is divided by 79?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the first derivative of 3*v**2\/2 - 3*v + 2. Let p be ((-5)\/2)\/(2\/(-4)). What are the prime factors of h(p)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/1595880 and 53\/780.\nAnswer: 1595880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 52 a factor of 128647636?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/306 and -46\/28917.\nAnswer: 57834","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a, 1 l, and 1 v when three letters picked without replacement from {l: 3, v: 2, a: 7}?\nAnswer: 21\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11208930?\nAnswer: 2, 3, 5, 373631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*p - 10 + 5 + 4*p + (-4*p + 2*p + 1 + 0*p)*(-5 + 2 + 2) to x*p + b and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 minutes before 7:21 AM?\nAnswer: 6:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-114 + 59 + 56 + 185*l)*(2 + 4 - 3) to the form v + j*l and give v.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*((sqrt(84)*-2)\/sqrt(6) - -2*sqrt(56)\/sqrt(4)))\/(-1*(sqrt(1008) - -4*1*sqrt(1008))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the second derivative of 0 - 1\/15*h**5 + 6*h + 0*h**3 - 1\/3*h**4 - 3\/2*h**2. Let w(g) be the first derivative of q(g). Let w(i) = 0. Calculate i.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**1*a**22*(a**(2\/31))**10)**15 assuming a is positive.\nAnswer: a**(10995\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:26 AM and 8:35 AM?\nAnswer: 429","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 + ((-2034)\/(-405) - 5))*(-30)\/(-36).\nAnswer: 1\/54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the third derivative of -b**6\/24 + 3*b**5\/20 - b**4\/6 - 10*b**2 - 3*b - 42. Let w(n) = -9*n**3 + 17*n**2 - 7*n. What is 7*j(p) - 4*w(p)?\nAnswer: p**3 - 5*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 3*m**3 + 51*m**2 - 51*m - 223. Determine g(-18).\nAnswer: -277","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o - 180 = -12*c - 23*c + 34*c, o - 448 = 97*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 666884 divided by -166721\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 212*a + 5250 - 1213 = -1687 for a.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 10 - (4\/(-2) + 3). Let s = 3 + k. Suppose -2*f + s = f. What is the units digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -664*i + 2672648 = -576*i. Is 11 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = -6, -8 = u - 3*h - 20. Let p = -235.348 + 235.4. Sort p, u, -5 in decreasing order.\nAnswer: u, p, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -619750 divided by 2479?\nAnswer: -250","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 130 = 7*s + 102. Suppose -s*f - 49 = -5*u - 26, f = -4*u + 31. Solve -2*a + 20 = -u*a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2764493.\nAnswer: 47, 131, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 - 45 = -3*n - 5*c, -31 = -n + 3*c. Suppose 0 = -4*f - 2 + n. Suppose -3005 - 3290 = -f*o. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6533734 to the power of 1\/7, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jj when two letters picked without replacement from {d: 1, c: 5, q: 2, n: 5, j: 5}?\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 11.6476 - 11.7. What is h rounded to 2 decimal places?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 923264409 to the power of 1\/3, to the nearest integer?\nAnswer: 974","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the first derivative of i**7\/1960 + i**6\/42 + 19*i**5\/40 + 21*i**4\/4 - 60*i**3 - 300. Let h(l) be the third derivative of q(l). Solve h(t) = 0.\nAnswer: -7, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 2*v. Let d(w) = 9*w. Let l(h) = -816*h + 2. Let u(c) = -12*d(c) + l(c). Calculate u(g(t)).\nAnswer: -1848*t + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 16945 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 6 = -0. Let u(c) = 2*c + 25. Let d be u(-9). Let s = d - m. Calculate the remainder when s is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 10200 = -2*h - 3*h, -4*b = -20. Let v = h + -1099. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -110990 and 0.5.\nAnswer: -55495","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -114349349, -114349359, -114349371, -114349385, -114349401, -114349419, -114349439?\n\"Answer: -s**2 - 7*s - 114349341","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8\/11*q + 2\/11*q**5 - 6\/11*q**3 + 0 + 4\/11*q**4 - 8\/11*q**2.\nAnswer: 2*q*(q - 1)**2*(q + 2)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: e6726b (base 16) to base 15\nAnswer: 14d4c81","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/6 in 1668, 21479, 0, -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - -36 - (-40 + (4 - -57)).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*n - 24*n = 4*s - 19, 5*s + 4*n - 32 = 0. Which is the third biggest value? (a) 0.2 (b) 1.1 (c) s (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 - (-10 - (2 - 11))) + (-9 - 3)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -247*w + 2*k + 5685 = 4*k, -w + 74 - 49 = k for w.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 24*t**2 - 12*t - 17. Let f(w) = -5*w**2 - w. Let u(c) = -5*f(c) - o(c). Calculate u(-17).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2835)\/810)\/(14\/(-48)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2 and -67611?\nAnswer: 135222","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 10 + 3 + -8 + -6\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 446.217 - -0.046421.\nAnswer: 446.263421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3b29 + -6?\nAnswer: 3b23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2.95458 - -0.04542. Which is the nearest to -0.04? (a) -0.07 (b) n (c) 0 (d) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 50.07 - 1.07. Let g = b - 49.03. Let o = g - 0.106. Round o to two decimal places.\nAnswer: -0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 12*x + x - 6*x**4 + 1 + 5*x**4 in the form n*x**4 + t*x + p + z*x**3 + c*x**2 and give t.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 2863*n. Let q(k) = 4*k**2. Calculate p(q(m)).\nAnswer: 11452*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 49\/11 - 9\/44. Let j = -16971 + 237693\/14. What is the common denominator of c and j?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/(-2) - (4 - 0).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that -v**2 - 115*v - 114 = 0.\nAnswer: -114, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 11) to base 9\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 plus -0.4818?\nAnswer: 3.5182","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -55 + 119. Let i = p + -50. Factor -5 - 9 - 18*l + i + 3*l**2.\nAnswer: 3*l*(l - 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = u - 1, u - 6*u - x + 11 = 0. Let m(z) = -15 + 24*z - 21*z**u + 20*z**2 + 6*z - 10*z. Is m(9) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 333737 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -510*k**3 - 511*k**3 + 1022*k**3.\nAnswer: k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5, -0.2, 30\/167?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 1, -5, -34, 5951 in ascending order.\nAnswer: -34, -5, -1, 1, 5951","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 150809 and 242935.\nAnswer: 631","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the second derivative of 0*h**2 - 1\/2*h**3 - 9*h + 0*h**5 + 2\/15*h**6 + 0 + 0*h**4. Find the second derivative of q(x) wrt x.\nAnswer: 48*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1.35 - -56.65. Let d = -81710 - -81651.993. Let z = a + d. What is z rounded to 2 decimal places?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -11250*k**4*n**3 - k**4 + 6*k**3 - 1720*k**2*n**3 + 3*k**2*n**2 - 29*k*n**3 + k*n**2 wrt k?\nAnswer: -270000*k*n**3 - 24*k + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k**3 + 7*k**2 + 7*k + 9. Suppose -3*v + 8 = r - 0, -4*r + 23 = 3*v. Suppose r = -o - 1. Give h(o).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:40 PM and 1:13 PM?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of q**4 + 18*q**3 + 1138*q**2 - 2864378 wrt q?\nAnswer: 4*q**3 + 54*q**2 + 2276*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-32)\/312)\/(1*4\/6).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1\/37678 + 48830695\/263746. Factor u + 144\/7*t + 4\/7*t**2.\nAnswer: 4*(t + 18)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 340 + -286. Suppose 530130 = -24*l + v*l. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 318\/10985?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 3675 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -8*b**2 - 594*b - 165. Give k(-74).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1163?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: ((-222)\/(-777))\/(10\/(-40))\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uu when two letters picked without replacement from giguu.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -1 + (-3 - -2)\/(-1) + 6. Suppose -956 = -b*f - 212. What is the units digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10517.\nAnswer: 13, 809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*s**2 + 13080*s**3 - 13*s**2 - 13078*s**3.\nAnswer: 2*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4 - 4. Suppose -3 = r + 2*z, 7*r - 6 = 8*r + 3*z. Suppose 3*n - 4*c - 38 = o, -5*c + 13 = 2*n + r. Calculate the highest common factor of n and 15.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 2*x + 9. Let w(i) = i - 1. Let p(a) = -u(a) + 4*w(a). Let r be p(9). Suppose -r*s = -5*m + 30, -11 = 3*m - 4*s - 31. Let d(n) = -n + 3. Give d(m).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(((1 + (sqrt(1008) - (0 + sqrt(1008))))*1 + -2)*-1 + 4))**2.\nAnswer: 625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 702 minutes before 1:25 AM?\nAnswer: 1:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.01481 - 12.\nAnswer: -11.98519","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/w**0)**26*w\/(w**(-4\/5)*w)*w**(3\/8)*(w*w\/(w\/((w\/w**1)\/w*w))*w*w**(2\/5))**(-48) assuming w is positive.\nAnswer: w**(-3521\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 2*c**2 - 31*c. Let z(f) be the second derivative of f**3\/3 - 2*f - 27. Give z(p(m)).\nAnswer: 4*m**2 - 62*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*d**2*f**3 + 362*d**2*f**2 - 2994*d**2 + 3*d*f**3 + 3*d*f**2 - 13*f + 765 wrt d?\nAnswer: 4*f**3 + 724*f**2 - 5988","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -2*v**3 + 8*v - 5. Let n be h(2). Let u be 1*(-6 + (1 - n)). Which is the second smallest value? (a) -4\/5 (b) u (c) -0.14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of a**6 + 129*a**5 + 89*a**2 + 3?\nAnswer: 120*a**3 + 7740*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -25\/3 + 23\/3. Which is the second smallest value? (a) -4 (b) -1\/6 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -332*-59.\nAnswer: 19588","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the third derivative of 863*y**8\/168 + 839*y**4\/24 + 1616*y**2. What is the second derivative of o(b) wrt b?\nAnswer: 34520*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 16322*k**3 - 16327*k**3 - 12*k**2 + 2 - 4*k + 3*k + 1 in the form w + l*k + o*k**2 + h*k**3 and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -33666, -42259, -65588, -111021, -185926, -297671?\n\"Answer: -1228*h**3 + 3*h - 32441","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 676 - 19606\/29. Let s = m + 73\/638. Which is smaller: 1 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 2*b**2 - 68*b - 8695. What is p(110)?\nAnswer: 8025","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**2 - 50091*g - 150264.\nAnswer: -(g + 3)*(g + 50088)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 less than -18933?\nAnswer: -18933.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.08 - 4.08. Let o = w + 4.1. Let b = -0.3 + o. What is the smallest value in -6\/5, b, -1?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5390004 divided by -234348?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 195443 is divided by 195293?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:36 AM and 1:50 PM?\nAnswer: 374","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 2*h**3 - 19*h**2 - 43. Give d(10).\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -452*o - 448*o - 37*o**2 + 23*o**2 - 438*o + 1338*o + 11*o**2.\nAnswer: -3*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 97*w**3 + w + 9. Let c(z) = 24*z**3 + 2. Determine 9*c(q) - 2*u(q).\nAnswer: 22*q**3 - 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 8*p**2 + 46*p - 31. Is h(-18) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -13.67 - 0.33. Let h = -12 - x. Let l = 7 + -8. Which is smaller: h or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:01 AM and 8:00 AM?\nAnswer: 419","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-142 + 941*y**3 + 142)*(-3*y + 3*y + y + (-5*y + 4*y - y)*(0 - 4 - 1) + y - 2 + 2).\nAnswer: 11292*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/39, -1377, 3\/4?\nAnswer: -1\/39","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 0 + 3)*(-24*v + 2*v**2 + 24*v).\nAnswer: -4*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -1402306 greater than or equal to -1402307?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that 3*c**3 + 28761*c**2 + 68918544*c - 68947308 = 0.\nAnswer: -4794, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3, -5, 17, 69, 157?\nAnswer: 287","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -364882*17.5\nAnswer: -6385435","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 80549 - 235242 = -8078*y + 157261 + 67712 for y.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the first derivative of -10*i**3\/3 + 10*i**2 + 30*i - 8. Let u(f) = 5*f**2 - 10*f - 15. Let p(a) = -3*t(a) - 5*u(a). Determine d so that p(d) = 0.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 245322?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10638 = 927*a + 17127 for a.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8 - 12. Which is smaller: 2\/7 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = u**3 + 10*u**2 - 2*u - 10. Let b be (-30)\/(-4)*(-20)\/15. What is the least common multiple of j(b) and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -19431913 and -19431925 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3 - (-4 - -6) - -5. What is the tens digit of (-14710)\/(-38) + r\/(-57)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 2 + 6 = 0. Which is bigger: 1 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-55*b - 58*b - 13*b)*(-5*b + 3*b + b) + 0 - b**2 + 0*b**2 + 2.\nAnswer: 125*b**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 13 - 41 - m**2 - 3*m + 14 + 7*m + 17. Suppose -2*o = -l - 4*l - 30, -o + 2*l + 13 = 0. Give b(o).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -24 + 91. Let p = n + -47. Suppose -5*r + 4*u + 23 = 0, 2*u - 5 = 1. What is the remainder when p is divided by r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 92 + -89. Let q(k) = k**2 + 3*k - 3. Suppose l - z = 7 - 1, 4*l = 5*z + 25. Let s(a) = 0*a**2 - 3*a**2 - 2*a - l*a + 7. Calculate y*s(t) + 7*q(t).\nAnswer: -2*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -q - 12. Let v(m) = 8*m + 35. Let x(g) = -4*v(g) - 11*y(g). Let s(u) = -u. Calculate s(x(h)).\nAnswer: 21*h + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 55*f**3 + 3*f - 2. Let c be (-12)\/18 - 10\/(-6). What is the units digit of k(c)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 69 and 8.98362?\nAnswer: 619.86978","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rruruuurrrrrruurrr. What is prob of picking 3 u and 1 r?\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 517 minutes after 4:42 AM?\nAnswer: 1:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 2*c**3 + 4*c**2 + 2*c - 2. What is t(-3)?\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -786aa (base 11) to base 14.\nAnswer: -2d777","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 101223359 to the power of 1\/3, to the nearest integer?\nAnswer: 466","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -13, 8, 6, -2\/9, -1?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.8, 0, -3, -20, -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 60461.39 millimeters to nanometers.\nAnswer: 60461390000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.063 - 2.763. Let b = m - -2.700000262. Round b to seven dps.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (448\/(-384)*(-2)\/14)\/1?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q**3 - 14*q**2 + 34*q + 9. Determine i(8).\nAnswer: -103","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o**(3\/7))\/(o**(-4)*o))\/(o**0*o)**(2\/45)*(o**(2\/11)*o\/o**4)\/(o\/(o\/o**0))**(12\/7) assuming o is positive.\nAnswer: o**(5426\/3465)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 520616?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in -3, 2, -0.4, 1, -4\/809, 0.9, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 - 4 - (-96 + (83 - -70)).\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -10*a. Let t be y(-1). Suppose 2*z = z + t. Suppose 2*d - z = -l, l - 3 - 4 = d. Calculate the greatest common factor of 1 and l.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -29*b - 3017. What is h(-104)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -q**3 - 13*q**2 - 576*q + 1845. What is f(3)?\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 583 to the power of 1\/2, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5 - -41. Let l(c) = -c**2 + c. Let r(o) = -o + 687*o**2 + 2*o - 4*o - 6*o - 1299*o**2 + 619*o**2. Determine i*l(w) + 4*r(w).\nAnswer: -8*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1558 and 10292148.\nAnswer: 1558","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 135928, 135926, 135924?\nAnswer: 135922","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -3*l**2 - l - 1. Let d(v) = 1222*v**3 - 15*v**2 - 5*v - 4. Calculate -d(t) + 5*i(t).\nAnswer: -1222*t**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10180130 divided by -778.\nAnswer: 13085","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 50 + -46 + (1 - 5) + 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9, -19, -27, -33, -37, -39, -39?\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a and 1 t when three letters picked without replacement from ttatttaatta.\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 4*g**4 - g**4 + 6633*g**3 - g**4 + 6895 - 605 - g**4 wrt g?\nAnswer: 4*g**3 + 19899*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 38*p**2 - 49*p - 148. What is l(-3)?\nAnswer: 341","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -576 divided by 32?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 2*m = 88, 5*o + 113 = 687*m - 690*m. Suppose 0*p - 112 = 4*p. Let n = p - -6. Are o and n nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 865495028081\/7336 - 117979148. Let w = 1\/131 - t. Find the common denominator of 49\/44 and w.\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -406233 - 12246 = -54*o - 49821. What are the prime factors of o?\nAnswer: 6827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/5, -2\/23, 3\/4, -5, 77.\nAnswer: -5, -3\/5, -2\/23, 3\/4, 77","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 32 = 2*f, 4*f + s = 9*f - 83. Solve -5 = 4*t - 5*x, 3*t + 3*x + f - 20 = 0 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -16983, -33968, -50953?\n\"Answer: -16985*y + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -2*(38\/4 + 1). Let o = 28.6 + -28.4. Which is the third biggest value? (a) -0.1 (b) o (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -3*n**3 - 2*n**2 - 1. What is the units digit of i(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1845717 to the power of 1\/6, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 563*i**3 + 4*i - 6. Calculate the remainder when u(1) is divided by 95.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (18*q**2 + 599*q**3 - 609*q**3 + 3*q**2)*(16*q - 18*q - 3 + 1).\nAnswer: 20*q**4 - 22*q**3 - 42*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 - 15 = 2*a + 5*p, -2*p + 4 = -a. Let n(h) = -5*h - 7. Let s(t) = t. Let w(x) = -n(x) - 4*s(x). Give w(a).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 466805 is divided by 1021.\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -6269929.54 rounded to the nearest one hundred thousand?\nAnswer: -6300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 54530611271 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 121052291?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 700 minutes after 6:27 AM?\nAnswer: 6:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sum 8028631 and 5.\nAnswer: 8028636","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 626, 1237, 1852, 2471, 3094?\n\"Answer: 2*k**2 + 605*k + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-2\/11)\/(t*t*t**(-2)\/t*t*t))**(-7) assuming t is positive.\nAnswer: t**(91\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 2*k = 86, 5*o + 2*k = -102 + 196. Solve 19 = -o*g - 71 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(1 + ((sqrt(637)*-2 + sqrt(637) + 4 + sqrt(637) + sqrt(637) - sqrt(637)) + sqrt(637)*-1*2)**2).\nAnswer: -224*sqrt(13) + 5130","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2372.365 + -2380. Let q = 0.315 - i. Let n = 8.8 - q. Round n to one decimal place.\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 180, 387, 586, 771, 936, 1075, 1182?\n\"Answer: -b**3 + 2*b**2 + 208*b - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (92\/(-115))\/((-12)\/(-180)*-1)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 44889 is divided by 377?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + sqrt(1539) + 4 + (sqrt(1539) - 3*sqrt(1539)))*-3 - (1 + (sqrt(1539) - (sqrt(1539) + sqrt(1539) + 2)*-1)*4))**2.\nAnswer: 2430*sqrt(19) + 124884","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 1 = -2*k, -10 = -3*k + 2*p + 6. Let c be 1 + -1 - 0\/1. Let r = k - c. Solve 5*g - 2*a = -2, 3*g + 16 = -g - r*a for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 89506818 < 89506813?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 323097 is divided by 106.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 325*m - 7613 = 8*m + 8237 for m.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -102 - -1232123242?\nAnswer: 1232123140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-824)\/(-721))\/(18\/(-7)).\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j**2 + 27*j - 38. Let c be x(22). What is the greatest common divisor of 8 and c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-137652)\/(-504724) - (1 + 1345\/11)?\nAnswer: -123","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-7)\/1)\/(5*(-6)\/(-1470)). Let y = 48862049\/30 - 1628392. Let f = z + y. Which is smaller: 0 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 78 and 5757.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.03923 * 0.062.\nAnswer: 0.00243226","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rxrzzzrzzrzzzz. Give prob of picking 1 r, 1 x, and 2 z.\nAnswer: 144\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -120*g*j**5 + 1757*g + 25*j**6 + 6*j**2 wrt j?\nAnswer: -7200*g*j**2 + 3000*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 1 + l**2 - 2*l**2 + 2*l**2 + 2*l**2 + (3 + 0 - 1)*(-3*l**2 + 7*l**2 - 2*l**2) + 5*l**2 - 5*l**2 + 7*l**2 to the form q*l**2 + t*l + r and give q.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 22 - 20. What is the third smallest value in 4, x, -0.3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -4*s - 57. Let k(c) = -c - 3. Let r be k(s). Factor -r*x**2 + 0 - 6 - 13*x - 8*x + 0.\nAnswer: -3*(x + 2)*(3*x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.2 - 1.4. What is the nearest to -2\/3 in y, 5, 3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -11884 = -11879?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -65 + 1b5?\nAnswer: 150","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sfvsfssvvv. Give prob of sequence vs.\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -d**2 + 8. Let w(a) = a**2 - 79*a - 51. What is 6*p(z) + w(z)?\nAnswer: -5*z**2 - 79*z - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 68*w - 306. Let f be a(7). What is the highest common factor of f and 50?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k - 17 = -3*f, k - 23 = 3*f - 8*f for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.20555452 + -113.79381548. Let m = -249 - -363. Let b = m + d. Round b to four decimal places.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -13\/6 at most -1.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 13 + -12 + 3\/1. Suppose 6 = -2*w - 2*w - 3*c, 8 = -w - s*c. Solve 9 + w = -3*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 232717 is divided by 2706?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -110 + 230. Suppose -3*v = -261 - d. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 80 and 30.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.58 + -2.58. Which is the closest to -1? (a) 2\/9 (b) 2\/23 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3258844.\nAnswer: 2, 31, 41, 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 176 - 124. Suppose -j = -0*q - q. Find the common denominator of (2 - q\/152)\/1 and -39\/14.\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0\/(-2 - 1) - -7. Let c(w) be the first derivative of -w**3\/3 + 3*w**2 + 9*w - 1. Let t be c(r). Solve -z - 5 = -5*m - 4*z, -4*m - t*z = -2 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f**3 + 2*f**2 + f. Let y be t(2). Find the common denominator of ((-85)\/(-2))\/(-10 + y) and (145\/(-870))\/((-3)\/107).\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*f**2 - 16 + 16 + (-2*f + 2*f - f)*(-2*f + f + 2*f))*(-3*f**3 + 3*f**3 - 2*f**3) + 17*f**5 - 12*f**2 + 12*f**2.\nAnswer: 27*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/14 + 147 + (-510147)\/3465.\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 232, 233, 234, 235, 236?\n\"Answer: n + 231","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*o**4 + 134*o**3 + 612*o**2 wrt o?\nAnswer: -96*o + 804","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 35086.\nAnswer: 2, 53, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -249*z - 238*z + 0*z**3 - 6*z**3 + 487*z.\nAnswer: -6*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 f when two letters picked without replacement from {l: 1, j: 2, g: 1, f: 1}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = -2 + 6. Let m be (-5)\/(-2)*(-48)\/(-30). Suppose -m*o = -o + 9. Which is smaller: g or o?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 72 and 107662068?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 0.1*-67811359\nAnswer: -6781135.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -393*w - 12 = -395*w. Find the third derivative of w*j**2 + 18 + 53*j**2 + 6*j**5 - 18 wrt j.\nAnswer: 360*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 103 and -5?\nAnswer: -515","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1781)\/(-17810)*(-2*4\/46)\/(-1).\nAnswer: 2\/115","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:26 PM and 5:47 PM?\nAnswer: 141","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -74\/201 and 8\/9.\nAnswer: 603","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7? (a) 2\/1519 (b) -5 (c) 0.3 (d) 2 (e) 4 (f) -75\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 1018973904?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 444 - 27088?\nAnswer: -26544","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j = -14*g - 67, -6*g + 4 = -7*g + j for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -171 - -157. What are the prime factors of y\/(-3)*1\/(6\/585)?\nAnswer: 5, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12\/21)\/(10\/7).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 b when two letters picked without replacement from {z: 5, b: 4, k: 6}.\nAnswer: 8\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + 176\/(16 - 24).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c - 2. Let l(k) = -k**3 + 3*k**2 + k + 1. Let b be l(3). Suppose 0*t - 2*t = -b. What is the remainder when t is divided by s(4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -425.499 to the nearest 10.\nAnswer: -430","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f + 7 = -3*t, -23*t + 5*f - 26 = -24*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.058 - 0.028. Which is smaller: -4 or n?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -2*g**3 + 22*g**2 - 34*g - 9. What is n(2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 652 minus -0.01?\nAnswer: 652.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 61669 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 249 is divided by 21.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**(2\/9)*(k*k*k**(-1\/4)\/k)\/k)\/(k\/(k\/k**(-2\/3)*k))**(5\/6) assuming k is positive.\nAnswer: k**(85\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -v**2 - v + 18. Does 6 divide n(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -17 + 16. Let x be (c + 1)\/(6 + -5). Solve 5*r - 10 = -5*z, z = -x*z - 5*r + 14 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5*k**4 + 37*k**3 + 175*k**2 + k.\nAnswer: -120*k + 222","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 235 is divided by 35?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21184307 is divided by 47?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 6\/15 + 484\/(-10). Let w = 143\/3 + m. Let h = 26 + -53\/2. Are h and w non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 688 to the power of 1\/2, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y**3 - y**2 - y**2 - 7 + 16 - 11. Let u(v) = 2*v**3 - 3*v**2 - 3. Suppose -1 = 4*n + 3, 5*n = -2*r + 1. Give r*b(l) - 2*u(l).\nAnswer: -l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 116860277*b**2*o + 9788900*b*o - 3*b wrt b?\nAnswer: 233720554*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 + 9 = -6*k. Suppose 0*h + 4 = 2*j - 4*h, j = -k*h - 2. Let i(n) = n**3 - n**2 - 2. Give i(j).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4*27\/(-84)*42\/(-144)?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 - 27 - -11 - ((-1 - 1) + 13).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*q**3 + 1 + 174*q + 171*q + 6 - 345*q as b*q**2 + v*q**3 + i + w*q and give i.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -2627, -3494, -4965, -7046, -9743, -13062, -17009, -21590?\n\"Answer: -v**3 - 296*v**2 + 28*v - 2358","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6315 = -125*p + 4096 - 8281 for p.\nAnswer: -84","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -10310 (base 4) to base 8\nAnswer: -464","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -4*p - 158, -2*l + 4*p = -6*l + 256. What is the remainder when l is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -12 + 12. What is the closest to 0 in -6, k, -1?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 864406, 864407, 864406, 864403, 864398, 864391, 864382?\nAnswer: 864371","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 6 = 5*q + 2, 3*d - 12 = 0. Suppose -5*f - 15 = -5*a + 25, -q*f = 16. Suppose a*s - 49 = -2*n + 3, -3*s = 5*n - 25. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -516 - 61 - 196 = 178*d - 61 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 4 = l + 2, -5*l + 2*d + 31 = 0. Suppose 0 = -5*r - 2*x + 104 + 243, l*x - 193 = -3*r. What is the tens digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 7*y + 6537. Let l(c) = 2*c. Calculate h(l(v)).\nAnswer: 14*v + 6537","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -3*r + 14. Solve -2*p + r = -3*f, p - 3*f = -0*p + 5 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 35 and 35665?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 70\/65*13*(6 - 5).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2330364796 to the power of 1\/9, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -482, -1894, -4238, -7514, -11722?\nAnswer: -16862","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2343*g = -2340*g + z + 16, 0 = 4*g + 2*z + 22 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32 + f + 388*f**3 - 372*f**2 + 372*f**2 - f.\nAnswer: 388*f**3 - 32","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) 1 (b) -1\/5 (c) 5 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*o = 20*o - 4. Let y be 0\/(-9) - ((-8)\/(-5))\/o. Which is the smallest value? (a) 0 (b) y (c) -0.04\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 2*b**3 - 5*b**2 - 5*b. Let u be (3*1)\/(15\/10). Suppose o - 1 = -4*c, 0 = -5*c + u + 3. Let f(n) = n**3 - 3*n**2 - 3*n. Calculate o*z(j) + 5*f(j).\nAnswer: -j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 666 a factor of 4391604?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -47*z + 70*z - 713. Calculate the remainder when z is divided by 22.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*s + 4*g - 190, -313*s + 150 = -307*s + 3*g for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -8*p**2 - 2*p + 20. What is r(-2)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 3 = -12, -2*c + 3*g - 45 = 0. Let w(y) = -4*y - 77. Let d be w(c). List the prime factors of (5\/10)\/(d\/(-2280)).\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 40 = 3*h. Is (-6)\/h*(-156)\/3 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 78792141 a multiple of 619?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*q - 2*q + 2*j - 16 = 6*j - 29, 3*j - 1511 = 304*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2398 = -2442*b + 2333*b for b.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t, 2 o, and 1 w when four letters picked without replacement from kttkkowkottkwttttktt?\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8064 to the nearest integer?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -55*l - 5*l**2 - 58 + 110 - 52.\nAnswer: -5*l*(l + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -3*t. Let h(u) = -14*u. Determine -2*h(o) + 11*m(o).\nAnswer: -5*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*j**3*n + 36*j**3 + 115*j*n + 2*n wrt j?\nAnswer: 12*j*n + 216*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 453782455?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 35*b**4*s + 49546*b**4 - 149*s - 18557 wrt b.\nAnswer: 140*b**3*s + 198184*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 + -63. Let j be 1\/(-4) - (r\/20 - 4). Which is bigger: j or 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -20, 28, 2, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -1250 divided by -5\nAnswer: 250","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -50 in -5, -0.049, -3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -200*q**5 - q**4 + q**2 - 139*q wrt q?\nAnswer: -12000*q**2 - 24*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the third derivative of -c**5\/80 + 47*c**4\/32 + 49*c**3\/4 - 6*c**2 + 21. Suppose q(y) = 0. What is y?\nAnswer: -2, 49","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1306.953 centuries?\nAnswer: 1568343.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1\/42 - -5\/14. What is the closest to b in -14, 2\/3, -3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1052 a factor of 92825324?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -445\/6 - -149\/2. What is the second smallest value in -0.3, 8, 5, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1847781, -1847779, -1847777, -1847775, -1847773?\nAnswer: -1847771","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -60152*h + 5 = -60153*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 301 (base 15) in base 2?\nAnswer: 1010100100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -8*h**3 + h**2 - h. Let n(i) = 12*i**3 - 3*i**2. Determine -7*b(k) - 5*n(k).\nAnswer: -4*k**3 + 8*k**2 + 7*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:06 AM and 7:38 PM?\nAnswer: 572","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/53 in -17, 2\/59, 1.3, 9?\nAnswer: 2\/59","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + (37 - 33) + (0 - -7).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*x**5\/11 + 388*x**4\/11 + 8508*x**3\/11 - 1053864*x**2\/11 - 35659710*x\/11 + 116202276\/11 = 0. What is x?\nAnswer: -146, -51, 3, 51","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 490 minutes before 8:59 AM?\nAnswer: 12:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w**3 - 2*w**2 + 3*w. Let r be p(-3). Suppose r*b + 4*b = 0, -4*y + b + 100 = 0. Is y less than 29?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 345 + 341 - 3*t + 344 - 1030. Let y(m) = 3*m + 120. Determine k(y(u)).\nAnswer: -9*u - 360","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 591?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/8754 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 13 = 2*b - b, 4*o - 11 = -b. Suppose -2*d + 12 = 2*d, -3*d + o = -3*j. Put -3, j, -10 in increasing order.\nAnswer: -10, -3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5.2 + 0.5. Let r = w + -14.3. Let n = r - -1. Round n to the nearest integer.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14574 is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 4*j = -2848, -3*j + 3262 = 3*w + 412. Suppose -4*k + 370 = 2*n, -n - 4*n = k - w. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gtg when three letters picked without replacement from {a: 3, g: 3, t: 1}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 232807 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -56 - -46?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.9 - 2. Let o = 12 + -11.9. What is the second biggest value in 1, h, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1\/6)\/((-15)\/(-12)). Which is the second smallest value? (a) 3 (b) -0.4 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 24 = 4*h. Suppose -354 = -5*o - x, 4*o = 5*x + 164 + 96. Suppose 0 = -h*c + 358 - o. Does 20 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 46*j - 3. List the prime factors of q(2).\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000594214857 rounded to six dps?\nAnswer: -0.000059","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10015702, -20031405, -30047108, -40062811?\nAnswer: -50078514","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 61338105?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 9*v**2 - 8*v**2 - 8 - v**2 + 4*v - 6*v**2. Let t(z) = 17*z**2 - 11*z + 23. What is 11*i(n) + 4*t(n)?\nAnswer: 2*n**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1260 a factor of 3587220?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 3*p - 4 = 0, 2*p - 6*p + 12 = 0. Sort -98, g, 1, -3, 0 in descending order.\nAnswer: 1, 0, g, -3, -98","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 770715.1nm to centimeters.\nAnswer: 0.07707151","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.3 (b) 3 (c) -291 (d) 7665\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2427079?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 0*t + 73*t**2 - 367 + 369 - 2*t. Is 12 a factor of z(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 200520388?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 202365 is divided by 604?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 39*z + 120. Let v(j) = 62*j + 181. Calculate 8*q(f) - 5*v(f).\nAnswer: 2*f + 55","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 0.07319, -4, 5 in decreasing order.\nAnswer: 5, 1, 0.07319, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -1. Let p(u) = 1. Let l(j) = -c(j) - 3*p(j). Let a(v) = v - 1. Let g(w) = -3*a(w) + 2*l(w). Let t be g(-3). Solve -3*x + t + 5 = -2*z, 9 = 3*x for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.001 (b) 0.4 (c) -4 (d) 0.5 (e) 2\/401 (f) -2\/9 (g) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10 - 2) + (19 - 31) - (0 + 2).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/((-57)\/18240*-80)?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 80515 - 80518. Let u(m) = 5*m**3 - 4*m**2 + 2*m. Let o(y) = y**3 - y**2. Suppose -3*z - 1 = -4. What is l*o(t) + z*u(t)?\nAnswer: 2*t**3 - t**2 + 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = -33*w - 26 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(2448) + sqrt(2448)*-2 + sqrt(2448))**2 + (-2*(sqrt(2448) + 1))**2 - -4*((sqrt(2448) + 0)*-5 + sqrt(2448))*3.\nAnswer: -480*sqrt(17) + 9796","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = 5*y - 6335, -y - 2*y - 3*r + 3801 = 0. What are the prime factors of y?\nAnswer: 7, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*d + 40*d - 74973*d**2 - 64*d + 149939*d**2 - 74964*d**2.\nAnswer: 2*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 428109207 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/45*51773\/460 - 5. Let u(t) be the third derivative of 1\/180*t**4 + 0 - i*t**5 + 15*t**2 + 0*t - 1\/900*t**6 + 1\/45*t**3. Suppose u(f) = 0. What is f?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -131 = -2*w + 149. Let u = w - 86. What is the remainder when u is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 minutes after 9:46 AM?\nAnswer: 9:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((sqrt(208) - (sqrt(208) + 5 + sqrt(208)))*-1 - sqrt(208)).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 823, 3966, 9457, 17332, 27627, 40378?\nAnswer: 55621","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(130) + (sqrt(130) - 2*sqrt(130)*-1))\/((sqrt(30) - sqrt(750))\/sqrt(3)).\nAnswer: -sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1663, 3157, 4643, 6127, 7615, 9113, 10627, 12163?\n\"Answer: f**3 - 10*f**2 + 1517*f + 155","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 287 a factor of 819146?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1073*65\/6253 - (0 + 1)*11.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2329 is divided by 111?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 + 15 - 314*r - 19)*(-3 + 0 + 2).\nAnswer: 314*r - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 964 a factor of 348968?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -232816, -465633, -698450, -931267, -1164084?\n\"Answer: -232817*r + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l - 6*j + j - 57 = -3 + 1, -j + 2 = 0 for l.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 15*f**2 + 73*f + 50. Let q be d(-4). Sort -4\/5, q, 0.1, -0.05, -1\/2 in decreasing order.\nAnswer: 0.1, -0.05, -1\/2, -4\/5, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m = 4*q - 88, -q - 4333 = 303*m + 4*q + 2333 for m.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fdfdffdddf. Give prob of picking 2 d.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -566 = 3*w - 668. Calculate the remainder when 54 is divided by w.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 4*n**3 - 57*n + 6. Let g(s) = -7*s**3 + 115*s - 11. Calculate 6*g(a) + 11*k(a).\nAnswer: 2*a**3 + 63*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 10\/(-15)*2\/(-20). Suppose 5*w = 2*w. Is q less than or equal to w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -33 - -2567815208.1.\nAnswer: 2567815175.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 16182416?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 114 (base 8) to base 4.\nAnswer: 1030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -661, -2680, -6045, -10756?\n\"Answer: -673*a**2 + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -17*a**3*v**2 + 2*a**3 - a*v**2 - 120*v**2 wrt a.\nAnswer: -51*a**2*v**2 + 6*a**2 - v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -2*o**3 - 17*o**2 - 22*o - 122. Give f(-10).\nAnswer: 398","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rrbp when four letters picked without replacement from bprrbrr?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, -19, 0.285 in decreasing order.\nAnswer: 0.285, -0.1, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 41.83028 decades?\nAnswer: 5019.6336","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00067382 to 5 dps.\nAnswer: -0.00067","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q when two letters picked without replacement from {q: 2, a: 1, f: 1, b: 3}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -12452\/269 at least -46?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -78 - -79. Sort 0.1, a, 10, 1\/5 in descending order.\nAnswer: 10, a, 1\/5, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 2*j + 15. Give f(-13).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1265143 to the power of 1\/3, to the nearest integer?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 155, 1\/3, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 5 (b) 1 (c) -0.1 (d) -0.038\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 206 divide 346286?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1794 is divided by 475?\nAnswer: 369","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**3\/3 + 3*s**2 - 5*s + 7\/3.\nAnswer: -(s - 7)*(s - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -2*x. Let b be 0 + 8\/(0 - 2). Let d(c) = c. Let n(k) = b*m(k) - 5*d(k). Let t(v) be the third derivative of -v**4\/24 - v**2. Give n(t(z)).\nAnswer: -3*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 4 = 2. Let f = -4 - q. Suppose -4*v = -4*k - 352, -4*v - f*k + 60 + 322 = 0. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -89.575 and -142738772.\nAnswer: -142738861.575","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4, 1208\/7, -5, -2, -18.6, 0.3, -3\/7?\nAnswer: -18.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -5 * -269\nAnswer: 1345","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -18436 divided by -1676\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 19, -31, -123, -263, -457, -711?\nAnswer: -1031","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.26352605 minus -37627?\nAnswer: 37627.26352605","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 289 minutes after 5:41 PM?\nAnswer: 10:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -22315 rounded to the nearest 100?\nAnswer: -22300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -27, 11, -44, 48, 1 in ascending order.\nAnswer: -44, -27, 1, 11, 48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 39 = -31. Let i = 4.8 - 1.8. What is the third smallest value in i, -2\/9, x, -0.7?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 70 = 5*d, -3*d + 0*c + 42 = -4*c. Calculate the highest common divisor of 126 and d.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7182.57km to micrometers.\nAnswer: 7182570000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 14640721?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0\/10*(14\/4)\/7.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 754 (base 14) to base 5\nAnswer: 21241","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.782 - 5.782. Let i = -11 + 5. What is the second biggest value in 1, d, i?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*l**2 + 19*l**2 + 2*l**2)*((3 - 4 + 2)*(-2 + 2 + 2*l) + l + 2*l - 4*l)*(12 - 6 + 3) in the form x*l + n + i*l**2 + w*l**3 and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*u - 1470 = 5*u. Suppose -3*r + 237 = -u. Let s(c) = -324 + 7*c + r. Let p(y) = y**2. Calculate p(s(g)).\nAnswer: 49*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 268025722?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the first derivative of -100\/3*y**3 - 2\/3*y**6 - 28\/5*y**5 - 16*y - 12 - 19*y**4 - 32*y**2. Factor b(s).\nAnswer: -4*(s + 1)**3*(s + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 1048 - 1057 + 14*a + a**2 + 0*a**2. Let q be x(-14). Which is bigger: q or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 2*h = -304, 5*t + 4*h = 12*h + 284. Is 15 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (51 - 17) + (-13 - 16).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*c**3 + 8*c**2 - 8*c**2)*(-1 + 11*c - 12*c - 29*c).\nAnswer: 210*c**4 + 7*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -70898 or -64865?\nAnswer: -70898","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 2*l**2 + 5*l + 21. Let s(c) = -c**2 + c - 1. Give p(z) - 5*s(z).\nAnswer: 7*z**2 + 26","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (253\/22*2)\/(58\/116)\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 32 - 1316754?\nAnswer: -1316722","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3)\/(-18) + 332\/24. Calculate the greatest common factor of k and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 222, 5, -4, 9669 in ascending order.\nAnswer: -4, 5, 222, 9669","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is eighty-eight fifths of a litre in millilitres?\nAnswer: 17600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 1802.9544 to the nearest one hundred.\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 3*j - 3. Determine z(3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -574\/107 less than or equal to -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 635 + 572. Is z a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2178.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*f - 0*f. Suppose f*w = -2*w - 18. Let h(p) = p**3 + 9*p**2 - 2*p - 8. What is the tens digit of h(w)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2998.8 - 2746. What is b rounded to the nearest 10?\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 minus 0.19415?\nAnswer: -0.09415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = -7*z + 36. Let v = 19 - z. Solve 3*h + 4*g - v = 0, -h = -2*h + 2*g for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -219198, -219190, -219170, -219132, -219070, -218978?\n\"Answer: t**3 + t - 219200","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -18*g**3 - 2395*g**2 - 139*g - 71. Determine j(-133).\nAnswer: 727","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 11 + -5. Suppose 9 + c = 5*d. Suppose 8*n - 164 = d*n + 2*i, 5*n - 5*i - 170 = 0. Is 16 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5436210 and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*g + 32*g + 75 + 277 = 0. Let l(p) = -3*p - 7. Let a(u) = -10*u - 20. Give g*l(n) + 3*a(n).\nAnswer: -6*n - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 724?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 216 - -300. Is v a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (33\/44)\/((-102)\/(-71)) and -77\/51.\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1839, 1833, 1817, 1785, 1731, 1649, 1533, 1377?\nAnswer: 1175","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1713*c - 63 = 1704*c for c.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 66\/266 - (-84)\/(-798)\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -15 + 1054210?\nAnswer: 1054162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-43)\/((-1720)\/260)*-1*2.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o**3 + 22*o**2 + 14*o - 649. Is k(20) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h**2 + 4*h + 42. Let j(f) = 3*f**2 + 11*f + 125. Determine -4*j(o) + 11*m(o).\nAnswer: -o**2 - 38","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*z**3 + 2*z**3 - 3*z**3)*(-37*z**2 - 41*z**2 + 228*z**2 - 40*z**2).\nAnswer: -110*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lyv when three letters picked without replacement from lcyclvc.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 2 b when three letters picked without replacement from {b: 5, z: 3}?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 79*c**3 + 6*c**2 - 5*c. Let g be h(1). What is the greatest common divisor of 190 and g?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jhbrlzl. Give prob of picking 1 j, 1 r, and 1 h.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 689 - 673. Solve -17*w + d + 1 = 0 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1710999?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -25229.66 to the nearest 10.\nAnswer: -25230","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000008952 rounded to seven dps?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) 1539.13 (b) -3 (c) 28\/9 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o*o**2*o)**22\/(o**41*(o\/(o**(1\/22)\/o))\/o))**(-4\/19) assuming o is positive.\nAnswer: o**(-2994\/209)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -2*m**3 - 181*m**2 + 1463*m - 86. Calculate w(-98).\nAnswer: 600","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -19.96595 and 0.3.\nAnswer: -5.989785","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -23053 - 181947. What is r rounded to the nearest 10000?\nAnswer: -210000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/3)\/((-148)\/666).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in 1\/2, -0.0064, 1\/70?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 12*o**2 - 2648668*o. Let r(k) = -2*k. Give u(r(h)).\nAnswer: 48*h**2 + 5297336*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28*f + 24962*f**2 - 12487*f**2 - 12474*f**2.\nAnswer: f**2 + 28*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the first derivative of -b**4\/4 - 3*b**3 + 5*b**2 - b + 5. Let v be p(-10). Is -1*(-3 - v - 5) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2 - 0)*1\/(-8). Suppose 14*f = 316 - 628 + 312. Which is the nearest to 1\/4? (a) s (b) f (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 6*k**3 + 3*k - 2. Let a be v(1). Suppose 0 = 4*h - 5*r - a, -4*r + 1 - 6 = -3*h. Solve -h*p + 4*u = 13, 3*u + 4 = -3*p - 2 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28300\/849*(-9)\/(-10)?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -2*g**2 - 185987*g + 185986. Determine y(1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Add together -11 and 2.7425058173851.\nAnswer: -8.2574941826149","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 520\/(-12)*(-18)\/12*(-2)\/(-5). Calculate the highest common divisor of 377 and y.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p**3 - 3*p**2 - 40*p + 196. Is u(7) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -2*p - 4. Let x be o(-4). Sort -3\/5, -0.1, x in descending order.\nAnswer: x, -0.1, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 773845425 = 773845426?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 27873 or 28802?\nAnswer: 27873","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 65 - 30. Let c = 363 - 245. Let u = c + f. What is the remainder when u is divided by 39?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z when two letters picked without replacement from tttzttzztttzztzzzz.\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -21 + 515407?\nAnswer: 515366","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-3 + (-4)\/(-20))*(-15)\/3\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10.18 rounded to zero decimal places?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*u - 5*u + 5*u)*(6*u**4 - 7 + 7) + 0 + 0 + 3*u**5 + (2*u + 2*u - 2*u)*(-2*u**4 - 4*u**3 + 4*u**3).\nAnswer: 11*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3471 to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 22658 - 14167. Is h a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14793 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 17508*g - 69821. Calculate z(4).\nAnswer: 211","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 550310?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3 - -6. Find the second derivative of -m - p*m - 9*m + 2*m**2 + 4*m wrt m.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-2\/13)*n**(-5)*(n**1)**(-1\/18) assuming n is positive.\nAnswer: n**(-1219\/234)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 480 + 60. Let n = q + -201. Is 11 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3d41 (base 15) to base 7\nAnswer: 53140","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -11*(3 - 4)*2. Suppose -4*c + 41 = 3*y - 65, -y - 4*c + o = 0. Is 8 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five quarters of a millennium in years?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -20*y. Suppose 2*c + s = -103, -4*c - c - 3*s = 260. Let b = 66 + c. Let x(w) = -37*w**2 + b*w**2 + 19*w**2. What is f(x(m))?\nAnswer: 20*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 - 9 + 0)*(k**3 - 2 + 2) to o + f*k**2 + u*k + b*k**3 and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**4 + 2*p**3 + 5*p**2 - 6*p.\nAnswer: -p*(p - 3)*(p - 1)*(p + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 115531 and 31954?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4676 and 77725474.\nAnswer: 334","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*m, -4*m + m = 5*u - 15. Suppose -u*b = -2*f + 2, f - 3 = -2. Suppose -o + 6 = z, -4*o + 6 + 0 = -5*z. Are b and z unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1126021176 and 784?\nAnswer: 392","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -114, -902, -3046, -7224, -14114, -24394?\nAnswer: -38742","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 22 - 5?\nAnswer: 1c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/(-20))\/((-17)\/(-5) - 3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35115*n + 39125*n = 120300 for n.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2714365471 to the power of 1\/3, to the nearest integer?\nAnswer: 1395","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 10670286 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 68 - (49 - 19) - 33?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2153 is divided by 22?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2860 - 2850. Solve k = -219*b + 217*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*g**4*m**3 - 143*g**4 - 4*g**2*m**3 - 10*g**2*m**2 - g**2 wrt g?\nAnswer: -48*g*m**3 - 3432*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.383719 rounded to 2 decimal places?\nAnswer: -2.38","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 228978, 228983, 228974, 228945, 228890, 228803?\n\"Answer: -q**3 - q**2 + 15*q + 228965","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 280909*t + 144818*t + 118581*t + 78069*t.\nAnswer: 622377*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 4723116 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-7 - (-32)\/4) + 2. Solve -5*i + m*f - 19 = 0, -2*i = -3*i + 2*f - 1 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1370 - 1365 - (4 - (15 - -1 - -4))?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g**(-2\/7)\/g*g*g)\/(g**4*g))\/((g*g*g**(-8)*g*g*g)\/(g**8*g)) assuming g is positive.\nAnswer: g**(61\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve h + 4*b - 19 = -0*h, 2*b = 5*h - 7 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5459432?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 642*i**3 - 1923*i**3 + 1 + 643*i**3 + 637*i**3 - 1.\nAnswer: -i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w**3 - 2*w - 1. Let k = 8 - 5. Suppose p + k = -2*p. Let g be t(p). Solve -q + g*q = 1 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 14*j**3 - 56*j**2 + 72*j + 8. Let n = 637 + -629. Let a(m) = 9*m**3 - 37*m**2 + 48*m + 5. Let s(i) = n*a(i) - 5*u(i). Let s(x) = 0. What is x?\nAnswer: 0, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve d - 169 = 12*h - 49*h, 2*d - 319 + 346 = h - 2*h for d.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 280, 271, 262, 253, 244?\nAnswer: 235","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = 5*o + 5*q - 44, -o - 4*q + 20 = 0 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - (40\/14 - 0\/(-29))?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 1, l: 2, a: 3, x: 4}. Give prob of sequence llax.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (5*(-5*(sqrt(539) + 0 + sqrt(539)) + (-2 + sqrt(539) - sqrt(539)) + -3 - (sqrt(539)*-2 + sqrt(539) + 5 - (2 + sqrt(539)*-2))))**2.\nAnswer: 30800*sqrt(11) + 1632078","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 219586 is divided by 69.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 180 = 6*k. Let u be (-1 - -2)*(1 + 84). Let n = k + u. What are the prime factors of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by -7988.\nAnswer: 1\/1997","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -c - 8*c**3 + 0*c + 3*c - 4*c wrt c.\nAnswer: -48*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 18.611738 and 3?\nAnswer: 55.835214","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -391*x - 4609. Calculate t(-12).\nAnswer: 83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 418 minutes after 11:49 AM?\nAnswer: 6:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 26061 divided by -21?\nAnswer: -1241","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 22 and (54\/8)\/(21\/56).\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -28 + 29.9. Let f = v + -1.90457. What is f rounded to four dps?\nAnswer: -0.0046","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 76*s**2 - 28*s**2 - 28*s**2.\nAnswer: 20*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -415 take away 879685642769?\nAnswer: -879685643184","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -4 + 4*u - 4 - 3 + 31 + 7 - 14. Let c(n) = -23*n - 1. Let p(y) = -8*y. Let q(x) = 6*c(x) - 17*p(x). What is 5*q(h) + 2*w(h)?\nAnswer: -2*h - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = 4*t + 316, -f + 170 = -2*t - 3*f. Let w = t + 645\/8. What is the biggest value in 0.5, w, -2\/7?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-844)\/(-30) + 70\/(-525). Suppose -4*x + 20 = j, m = 2*x - 19. Are m and -21 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z**4\/8 + 1521*z**3\/4 - 239091*z**2\/8 + 548667*z + 2439855\/2 = 0. What is z?\nAnswer: -2, 33, 53, 930","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 701272.8 centuries to decades.\nAnswer: 7012728","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54*f + 295 = -353 for f.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1532\/7 - -227. Let c = -4\/55 - 1457\/385. Calculate the common denominator of n and c.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*a*r*z**3 - 25*a*r*z - 52561*a*z**3 + 2*r*z**3 + 4*r - 1813*z**2 wrt z.\nAnswer: -18*a*r - 315366*a + 12*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 36*i - 63. Suppose 2*s + h + 4*h - 26 = 0, -52 = -4*s - 4*h. What is the tens digit of j(s)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*v**4 + 0*v**4 + v**4 + (v**2 + 2*v**2 - 7*v**2)*(14*v + 306*v**2 - 308*v**2 - 35*v).\nAnswer: 7*v**4 + 84*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: c0 (base 13) to base 14\nAnswer: b2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rqquuqqqqq. What is prob of sequence rq?\nAnswer: 7\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mutug. Give prob of sequence ugt.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the first derivative of 943*l**2 + 10806*l - 3155. Differentiate m(h) wrt h.\nAnswer: 1886","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8 - -5) + -7 + -8 + -109.\nAnswer: -111","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/13, -4\/3, -0.0065 in decreasing order.\nAnswer: 2\/13, -0.0065, -4\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*n**2\/9 - 14*n\/3 + 240 = 0. What is n?\nAnswer: -45, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 15? (a) -1\/70 (b) 0.2 (c) 0.239 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x**3 + 10*x**2 + 8*x - 9. Let i be o(-9). What is the second derivative of -4*v**2 + i*v - 2*v - v - 2*v wrt v?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = l - 0*l + 3, -4*l = 2*p. Suppose -7 = 3*w - 22. Solve -4*q - 4*b = -p*q + 10, -4*b = w*q + 13 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the first derivative of 2*d**3 - 7*d**2\/2 - 7*d - 84. Let n(g) = -3*g**2 + 4*g + 4. Give 7*n(k) + 4*q(k).\nAnswer: 3*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3231 - 11964 = -326*p + 2351 for p.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -205.64 from 2491.7.\nAnswer: 2697.34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(156)*-2 + sqrt(156))*1 + -4*2*sqrt(156))\/((sqrt(12) - 2*sqrt(12) - sqrt(12))*-6 + (sqrt(12) - sqrt(96)\/sqrt(72)))*-6.\nAnswer: 81*sqrt(13)\/19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:19 AM and 12:02 PM?\nAnswer: 703","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oo when two letters picked without replacement from {a: 1, o: 3, u: 1, p: 2}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2374 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42 = -16*g - 5*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 59534 is divided by 405.\nAnswer: 404","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*((-2*(sqrt(833) + -1) - (sqrt(833)*1 + -4)) + -2)*2*3)**2.\nAnswer: -151200*sqrt(17) + 6761700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -629424 less than 522965?\nAnswer: 1152389","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 467, -2.\nAnswer: -3, -2, 467","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 3 - 4)*(2*u + 0*u - 3*u - 3 + u + 3 + u + u + 0*u + (5 - 2 - 1)*(-4 + 4 + 2*u))*(1 + 2*u - 1) to the form a*u + d + t*u**2 and give t.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6 and 358.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 85021666 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 440 and 760.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -40 + 42. Let m(j) be the third derivative of 0*j - 1\/60*j**5 - 1\/24*j**4 + 1\/3*j**3 + 3*j**o + 0. Factor m(c).\nAnswer: -(c - 1)*(c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 123\/3710 and 61\/20080.\nAnswer: 7449680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 61 + -7. List the prime factors of g.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22.23498mg to grams.\nAnswer: 0.02223498","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-16242)\/(-132) - (-271)\/(-5962).\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10 + -200010?\nAnswer: -200020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 400446?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.3749 times -1?\nAnswer: 1.3749","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jkjs when four letters picked without replacement from kssssjssskjskskj?\nAnswer: 9\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 74098898 at most as big as 74098898?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 11*h**2 + 27*h + 11. Let s(t) = -5*t**2 - 13*t - 5. Suppose o + 12 = 3*o. Let g(w) = o*f(w) + 13*s(w). What is g(6)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -22171*r + 132871. Give l(6).\nAnswer: -155","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 125746 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 259883 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 22508278 and -3.\nAnswer: -67524834","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*f + 248 = -10*d - 134, 8*d + 3 = -f + 19 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*s**4 - 2*s**2 + 2*s**2)*(-6*s + 2 + s + 4*s).\nAnswer: -4*s**5 + 8*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -59, -5, 1205, 2, 4, 1 in descending order.\nAnswer: 1205, 4, 2, 1, -5, -59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -60, 52, 164, 276, 388?\n\"Answer: 112*o - 172","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 883875 or 883873?\nAnswer: 883873","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r**3 - 90*r**2 + 72*r - 1041. Calculate b(-91).\nAnswer: 688","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 5 + s**2)*(2*s**2 + 4 - 4) + (-437*s + 378*s - 123*s**2 + 124*s**2)*(3*s**2 - 7*s**2 - s**2).\nAnswer: -3*s**4 + 295*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(55)\/(-3*2*sqrt(11) + sqrt(11)) - (sqrt(15)\/(sqrt(3)*1) + (1 + sqrt(180) - sqrt(180))))*3)**2.\nAnswer: 108*sqrt(5)\/5 + 369\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -21 - 6*a**2 + 21 - 3*a + (-2 + 5 - 5)*(-a - a**2 + a) + 2*a**2 - a**2 + a**2.\nAnswer: -2*a**2 - 3*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 2 d when three letters picked without replacement from {d: 5, y: 7}.\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-69)\/(-12) + -3 + -2.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 191363 and 713?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -261.703 to 0 dps.\nAnswer: -262","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 51\/24 - 3\/24. Does 6 divide -5 - -74*(m - 1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 10*t**3 - t**2 + 18*t - 17. Let b be l(1). What are the prime factors of (-84583)\/(-246) - b\/12?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w**3 - 93831*w**2 + 844260*w - 750432 = 0.\nAnswer: 1, 8, 31268","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/15*2394\/3192.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*u**2 + 20*u**2 + 29*u**2 - 12*u**2.\nAnswer: 40*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*x**3 + 25*x**3 - 3*x**3 - 33*x**3 + 10*x**3 + 0*x**3.\nAnswer: 5*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 4*m**3 - 36*m**2 - 86*m - 45. Calculate n(11).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 16 = 2*k. Suppose 3*f + 2 = b + 5, 0 = -k*f + b + 5. Calculate the lowest common multiple of 8 and f.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -245*q*w**3*z**2 - 2*q*w**3*z - 2*q - 2*w**3 wrt z?\nAnswer: -490*q*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -193\/3 + 66. Put -0.4, y, 2 in ascending order.\nAnswer: -0.4, y, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 293 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2 + 2. Suppose 0 = -q + 4*n + 191, -5*q + 5*n + 1334 = 439. Let p be 15\/q + 1\/5. What is the closest to p in 2\/7, g, 5?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -0*t + 4*t + 3*p, 36 = 5*t - 4*p. Let b(s) = -5*s**2 - 4. Let y(r) = -2 + 62*r**2 - 3 - 61*r**2 + 6. Let f(q) = t*b(q) + 18*y(q). Solve f(d) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -11\/14 and -35\/2?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*a - 5*a**2 - 9*a**2 - 3*a**2.\nAnswer: -17*a**2 + 3*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 19 - 20. Let w = n + 2. Which is smaller: w or -3.4?\nAnswer: -3.4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xny when three letters picked without replacement from {j: 1, y: 4, n: 2, x: 1, z: 1}.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*d**6 + 413220*d**3*r**2 + d**2*r**2 - 21*d*r - 9*d - 15*r wrt d?\nAnswer: -360*d**3 + 2479320*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (131\/54)\/((-3264)\/176256).\nAnswer: -131","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 481328874 a multiple of 8444?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9514 is divided by 156.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 310*b + 957?\nAnswer: 310","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-5 - -9)*14*21\/24. Let p be (i\/2)\/(0 + (-2)\/(-36)). Find the third derivative of -p*r**6 + 220*r**6 + 214*r**6 - 34*r**2 wrt r.\nAnswer: -840*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9514149 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k**3 + 3*k**2 + 2. Let b be r(3). Suppose 0 = -0*v - v + b. What are the prime factors of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, -1\/2, 0, 5 in decreasing order.\nAnswer: 10, 5, 0, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = -5*s + 175, -3*s = -a - 59 - 63. Let n(h) = h**2 + 9*h - 1. Let m be n(-10). What is the highest common divisor of m and s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 9}. Give prob of picking 3 s.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*v - 6*r - 50, -5*v + 4*r + 557 = 498 for v.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32*x**2 + 87*x**2 - 22*x**2 - 32*x**2.\nAnswer: x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -38645, -77274, -115903, -154532, -193161, -231790?\n\"Answer: -38629*n - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 707522 and 233662?\nAnswer: 101175646","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 137890955?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 221975152.\nAnswer: 2, 7, 1981921","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 3*f = -8, -4*d = f - 68. Let l(g) = 2*g**2 - 1849*g + 12925. Let n be l(7). What is the highest common divisor of d and n?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -94*f - 780. Let z be g(-13). Solve -k + z - 448 = 0 for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2128 - -12647\/6. Let v be (-5 - -9)*(20 - (-1 + -1)). Calculate the common denominator of n and ((-1 - -2) + -5)*(-54)\/v.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 119553?\nAnswer: 3, 7, 5693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1685 is divided by 742.\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1641 + 4?\nAnswer: -163d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 696 and 168?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2.41, -2, 1\/3, -5 in descending order.\nAnswer: 2.41, 1\/3, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4027, 6390, 8779, 11188, 13611, 16042?\nAnswer: 18475","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 10882\/3, -0.2, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 49 = -2*c - 0*l, 0 = c + 4*l - 20. Let f = -91 + c. Let v = f - -179\/3. Calculate the common denominator of v and -73\/2.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.26 + 0.16. Let r = 1009\/240 - 63\/16. Which is the third smallest value? (a) r (b) q (c) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27268949 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i**3 + 3*i**2 + 6*i + 4. Suppose 3*k - 3 = 3. Suppose -3*c = k*n + 7, 2*c - 29 = -2*c + 5*n. Let z(p) = -p**2 - p - 1. Determine c*h(l) + 3*z(l).\nAnswer: -l**3 + 3*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 30918 (base 10) in base 16?\nAnswer: 78c6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 699 minutes after 8:14 PM?\nAnswer: 7:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-8)\/(-3) + -3 + (-112)\/(-66). Let m = 0.251 + -0.051. Is m >= v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 424 = 1405*w + 25337 + 22857 for w.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 57 = 3*d, -55*w = -51*w - 2*d + 44. Let f = -15 - -15.2. What is the nearest to f in 1\/3, -4\/7, w?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 2608685?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*g - 11562 = 13*g - 39*g. What is the remainder when 1130 is divided by g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3)\/((-3)\/2) - 3. Let z = 4 + w. Solve -z*t + 3 = -0*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*s**5 - 5*s**4 - 1341*s**3 + 345860*s wrt s.\nAnswer: 80*s**3 - 60*s**2 - 8046*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -73*f**3*h - 3725*f**3 - f**2*h - 854*f*h - 6*h wrt f.\nAnswer: -438*h - 22350","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -288 = -2242*j + 2230*j for j.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 36 and 49212.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 23466868?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(1\/4)*o**(-10)*(o**(2\/7)*o)**31)**(6\/7) assuming o is positive.\nAnswer: o**(2529\/98)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1, 45, 127, 253, 429, 661?\nAnswer: 955","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -39 - -44. Suppose -g = 119*d - 118*d. Let n = -7 - d. Which is the nearest to n? (a) -2 (b) 5 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -2 + 15 + -5 + -4.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -173*g**2 - 17*g + 6. Let c(z) = -105*z**2 - 9*z + 4. Calculate -10*c(r) + 6*h(r).\nAnswer: 12*r**2 - 12*r - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5)\/(-10))\/(2\/(-24)) + 1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.09 * -39.\nAnswer: 3.51","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 148*u - 55*u + 2 + 104*u + 73*u.\nAnswer: 270*u + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 + 111\/(-24) + (-3)\/8.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((-1 + 5 + sqrt(99) + -2 + sqrt(99) + -2)**2 + 3)*5*3.\nAnswer: 5984","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -3*j + 28. Suppose -g = 5, -8*g + 4*g + 20 = 4*p. Determine t(p).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*m + 5*t, -5*t - 6 + 31 = m. What is the units digit of (-2)\/m - (-804)\/10 - -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*o - 6 = -7*o - 2*v, o - v = -3. Sort o, -2, 26 in descending order.\nAnswer: 26, o, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 105 + 36 = 0. Let n = c - -59. Let i be (-218)\/(-6) + (-14)\/42. Calculate the highest common factor of i and n.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1428)\/(-612)*(-66)\/(-14)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -91, -98, -101, -100, -95?\nAnswer: -86","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 250\/20*26\/65. Solve -u = 2*u - g*n - 19, -20 = 4*n for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1*399750\nAnswer: 39975","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/6? (a) 198 (b) -5 (c) -0.2 (d) -0.3 (e) 25\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 17, -0.3, -484, 5?\nAnswer: -484","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.2 - 3.2. Let x = w + 1. Which is the smallest value? (a) -0.5 (b) x (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1112221101022 (base 3) in base 4?\nAnswer: 3021202202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2136 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 61? (a) 2 (b) 5 (c) -0.2 (d) 18 (e) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f*(f\/(f\/(f*((f\/f**7)\/f)\/f*f)))\/f)\/f)\/(f*f*f**(-1\/7))*f**8*f*f**(-1\/5))**(-2\/55) assuming f is positive.\nAnswer: f**(4\/1925)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.06 (b) -63 (c) -1\/3 (d) 34 (e) 29\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*sqrt(68)*-5 + (5*(sqrt(17) + sqrt(85)\/sqrt(5))*-5)**2.\nAnswer: -40*sqrt(17) + 42500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 13773 - 330551\/24. Let a(l) be the third derivative of 0*l + 34*l**2 - t*l**6 + 5\/24*l**4 - 1\/4*l**5 + 5\/2*l**3 + 0. Factor a(b).\nAnswer: -5*(b - 1)*(b + 1)*(b + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*o - 14*o + 150*o**2 - 73*o**2 + 3 - 4 - 79*o**2 to the form v*o + k + t*o**2 and give v.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4889.\nAnswer: 4889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1792 - -39.769.\nAnswer: -1752.231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00008076518 rounded to 7 dps?\nAnswer: -0.0000808","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r + 6*r + 4*c - 8 = 0, -10*c + 68 = -3*r for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 8 = 0, -4*x + 102 = -9*x + q. Let p = x - -24. Suppose -2*y + p*w = -80, y = -0*y + w + 39. What are the prime factors of y?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 421.2664 litres?\nAnswer: 421266.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (12\/(-9))\/(3\/(-234)). Suppose a - 20 = -4*m. List the prime factors of 6\/m - 317\/(-7).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -4*b**3 + 2*b**2 + 4*b + 2. Let a be 2\/(-1) - -1 - (32 - 0). Let f = a + 35. Let k(r) = -5*r**3 + 3*r**2 + 5*r + 3. What is f*k(z) - 3*n(z)?\nAnswer: 2*z**3 - 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01488386 to 3 dps.\nAnswer: -0.015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -7*p**3 + 10*p**2 - 7*p - 3. Let c(d) = -6*d**3 + 9*d**2 - 6*d - 5. Determine 6*c(m) - 5*l(m).\nAnswer: -m**3 + 4*m**2 - m - 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 43329, 87309, 131937, 177219, 223161, 269769, 317049?\nAnswer: 365007","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*i**3 + 81*i**2 + 648*i + 1620 = 0. What is i?\nAnswer: -15, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1615 - -436051\/270. Let i(l) be the third derivative of 0 - n*l**5 + 0*l + 3*l**2 + 1\/54*l**4 - 1\/27*l**3. Factor i(k).\nAnswer: -2*(k - 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f + 61*k - 80*k = 92, 2*k + 10 = 0 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 30 - -86?\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that -81*f**5\/4 + 243*f**4\/4 + 27*f**3\/2 - 69*f**2\/2 - 69*f\/4 - 9\/4 = 0.\nAnswer: -1\/3, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j + 124 = 19*o, -5*j - 68 = -76581*o + 76579*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:30 AM and 8:28 AM?\nAnswer: 418","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -5*u**2. Let b(f) be the third derivative of 0 + 0*f + 0*f**4 - 2*f**2 + 0*f**3 - 1\/60*f**5. Determine s(b(c)).\nAnswer: -5*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f*f**(-27))\/(f\/(f*f**(-13))*f))\/((f*f**5)\/f)**(7\/6))**(-2\/11) assuming f is positive.\nAnswer: f**(25\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1007032 is divided by 12280.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 855489621?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 58418.\nAnswer: 2, 29209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 18503 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 - 17 + 3)*(0*f**2 - 2*f**2 + 0*f**2).\nAnswer: 44*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -5*-39.16\nAnswer: 195.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8328607.\nAnswer: 7, 1189801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (40 - (-8 - 2) - -5)\/(16\/16)\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c**3 + 11*c**2 + 9*c - 6. Let v be y(-10). Let f be (-1 + v)*8\/(-6). Is (12\/f)\/((-6)\/38) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17 is divided by 11.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 272 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -67*a**3 - 67949 - 67952 + 203854 - 67947.\nAnswer: -67*a**3 + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 + 3 = -f. Suppose 17 = f*d - 43. Calculate the remainder when 28 is divided by d.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0 + (-5)\/(-5) + 205. Suppose -30 + m = 4*h. Does 5 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3 + 3. Suppose c + c + 10 = n. Let r = 1.3 - 1. What is the second biggest value in r, -0.2, c?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(55)\/(sqrt(45)*5) + 3 + -4 + 6*sqrt(539)*2 + sqrt(539).\nAnswer: -1 + 1366*sqrt(11)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 30200212110 (base 4) in base 15?\nAnswer: 44b96c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 53 - 11?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*v + 3*p + 819, 0 = 5*v - 2*p - 3*p - 1030. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20 (base 5) to base 14\nAnswer: a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 86, 114, 142, 170, 198, 226?\n\"Answer: 28*f + 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -12*(-4)\/(-24)*3?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8 - -10. Let l be (12\/18)\/(d\/(-4200)). Round l to the nearest 1000.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4806814*a**3 + 14061938*a + 1?\nAnswer: 28840884*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*i, -y + 13 = -i - 68. What is the lowest common multiple of y and 18?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that 5*d**2 - 260*d + 500 = 0.\nAnswer: 2, 50","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = -v + 255, -2*s - 3*v + 16 + 99 = 0. Let k = s + -34. Suppose -14*d = -k*d + 410. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 48*k - 43*k - 25. Suppose -6*h + 2*h - 19 = x, 35 = -5*h - k*x. Let a(d) = d + 1. Calculate a(h).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 159, 180, 235, 342, 519, 784, 1155, 1650?\nAnswer: 2287","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:43 PM and 4:51 AM?\nAnswer: 488","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 26580 and 180?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(114)*-2*4)\/(-3*sqrt(96)).\nAnswer: 2*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*v - 8*v - 33 - 29*v**3 + 33.\nAnswer: -29*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -0.04978 * -1\nAnswer: 0.04978","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u = 4*k - 30, -211 = -3*u + 11*k - 42*k - 71 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 277 + 11*r + 47*r - 63.\nAnswer: 58*r + 214","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -616320, -1232650, -1848980, -2465310?\nAnswer: -3081640","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 14904 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 303998.\nAnswer: 2, 97, 1567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 3*m**3 + 7*m + 6. Let c(q) = -q**3 - 3*q - 3. Suppose v + 0 = -3. Let o(n) = v*a(n) - 7*c(n). Differentiate o(t) wrt t.\nAnswer: -6*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 394 a factor of 154713162?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*f**3 + 130*f**2 - 38085*f - 193050.\nAnswer: 5*(f - 78)*(f + 5)*(f + 99)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6? (a) 2\/7 (b) 2\/5 (c) 1 (d) 3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3652285?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iiiiiiiiibiiiibibib. Give prob of picking 1 b and 1 i.\nAnswer: 20\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.47895355 to one dp.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + l + 6 = 0, m + 5*l + 10 = -8. Let c(h) be the second derivative of -7\/2*h**3 - 3*h**m - 16*h + 5\/4*h**4 + 0 + 3\/5*h**5. Solve c(k) = 0 for k.\nAnswer: -2, -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 683 divide 1420035?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1192*n**2 + 1191*n**2 + 1155*n**2 - 588 - 3536*n**2.\nAnswer: 2*n**2 - 588","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7 + 11. Suppose 4*c + 8 = 0, -2*m = -3*m + y*c + 129. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2 + -4. Let j be 13 - 2 - 1 - i. Let v = -7 + j. Solve v*t = 3 + 7 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 10\/(-85) - (1601916\/51)\/(-1). Let s = b + -8041. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 85*m**3 - 1 - 81*m**3 + m**5 - 3 + (4*m + 3*m - 3*m)*(m**4 - m**3 + m**3) + m**5 - 4*m**5 + 5*m**5.\nAnswer: 7*m**5 + 4*m**3 - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11115, -22654, -34145, -45564, -56887, -68090, -79149?\nAnswer: -90040","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/4*((-28)\/105)\/(3\/15).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2704927567 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 335.\nAnswer: 5, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.13 - -0.49. Let p = n - 0.63. What is the nearest to -1 in 2, 1\/6, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 20\/12 + -4250*(-7)\/42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:53 AM and 8:37 AM?\nAnswer: 44","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-5\/3)*t\/(t\/(t*t**(-14))))**(2\/27) assuming t is positive.\nAnswer: t**(-88\/81)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 18401, 41219, 64037, 86855?\n\"Answer: 22818*y - 4417","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -154.693 + 155. Let x = t - 1.307. Which is the third smallest value? (a) -0.5 (b) 0.145 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*a + 132429 = 132681 for a.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.023238 + 5?\nAnswer: 5.023238","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1790, -1813, -1852, -1907, -1978, -2065, -2168?\n\"Answer: -8*r**2 + r - 1783","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-2)\/m*m)\/(m\/((m*m*m\/((m\/m**(-4\/3))\/m))\/m)))**(-2\/63)*(m*(m*m\/((m\/(((m**(-5)*m)\/m)\/m*m))\/m))\/m*m**(-1\/6)*m)**(-19) assuming m is positive.\nAnswer: m**(2227\/54)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 369011 divided by 6\nAnswer: 369011\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3768 = -2*c - 2*n, 2*c = -n + 4*n + 3778. What is the units digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(49) + sqrt(784))\/sqrt(7) + -4 + 5.\nAnswer: 1 + 5*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 91682.16 years?\nAnswer: 9168.216","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 - -20 - (4 + -1).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-22)\/(-22)*-3*4\/62. Is -0.4 greater than or equal to b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 5*q. Let m(z) = -43*z**2. Give b(m(v)).\nAnswer: -215*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 2*o. Let z be g(2). Suppose 0*k - 2*k = -z. Sort -2, 3, k in increasing order.\nAnswer: -2, k, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6220?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 126364 - 69999. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -35, -28, -5, -4, 3.\nAnswer: -35, -28, -5, -4, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:45 PM and 11:45 PM?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -52*x**4 + 93*x - 93*x + (x - x + 3*x**2)*(x**2 + 2*x**2 - 4*x**2) + 2*x**4 - 2*x**2 + 2*x**2.\nAnswer: -53*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 946 is divided by 79?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (14\/(-6) + 2)*0. Let l = -2 - u. Let w = -2 + l. Sort 0.3, 5, w.\nAnswer: w, 0.3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-20*f + 50*f - 14*f)*(-5 + 4 - 1)*(2 - 2 + 2*f).\nAnswer: -64*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 531 and 45.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (64\/392*7\/4)\/(((-360)\/14)\/15)\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*o + 203707232 - 203707232.\nAnswer: 4*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 * 20.00241.\nAnswer: 100.01205","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-5 - -1) + (-2)\/1. What are the prime factors of (34\/(-4))\/(3\/y)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*y - 17*y = 632. Let h = y - -155. Put -1, h, -17 in descending order.\nAnswer: -1, h, -17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1 - -17. Suppose 29 = 5*g + 9. Suppose 0 = 4*p - 3*v - 83, 0*v - 36 = -2*p - g*v. Calculate the lowest common multiple of p and f.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -303 (b) 3 (c) -0.06\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_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 o be (-231)\/(-7) - (-2 - -1*3). Let f = 32 - o. Solve -d + f*w = -3*w - 1, -5*w + 13 = 2*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -127*(-44)\/508 + 71\/(-6)\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -12*h - 4*h + 5*h + 13*h - 15. What are the prime factors of l(21)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -30*m**2 - 22*m**2 - 2*m + 53*m**2 in the form x*m + n + j*m**2 and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Total of -11541318 and 3.\nAnswer: -11541315","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 + -19\/4. Find the common denominator of i and 13\/784.\nAnswer: 784","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 912750048?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*w - 2*w + w + 3*w**2 - w.\nAnswer: 3*w**2 + 2*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:20 PM and 3:34 AM?\nAnswer: 254","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of s**2 - 246156*s - 12579326 wrt s?\nAnswer: 2*s - 246156","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Round 0.00344624 to 5 decimal places.\nAnswer: 0.00345","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 70987650 + -70987617.099861. Let v = -32.9 + d. What is v rounded to five dps?\nAnswer: 0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -25 - -25. Solve n = w - 2*h - 8, 0 = -2*w + 3*h + 14 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 5 + (4264\/10)\/(1\/5). Suppose -4*p + w = 793. What is the greatest common divisor of p and 105?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -6*k + 4. Solve i = -a - k, 1 - 6 = a for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0 (b) -3 (c) -0.3 (d) 441\/2 (e) 2\/5 (f) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -40\/4071 and 95\/236.\nAnswer: 16284","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*m = 15*m - 392. Let j = -61 + 119. Calculate the lowest common multiple of m and j.\nAnswer: 406","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/2 + (-5)\/(-2). Suppose -h = -x*l + 3, -l + 7*h = 2*h - 15. Solve -j + 8*y - 3*y + 24 = 0, 3*y + 12 = l for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 63452, 63447, 63432, 63401, 63348?\nAnswer: 63267","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -293 * -0.34\nAnswer: 99.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1153, 4633, 10439, 18571?\n\"Answer: 1163*d**2 - 9*d - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 1, n: 1, i: 14}. Give prob of sequence ninq.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 30 - -10. Let a = -44 + q. Is -4 at most as big as a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6490840866 to the nearest integer?\nAnswer: 1865","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-18)\/27)\/((-1)\/30). Suppose 3*a = -a + f. Suppose 0 = 2*y + y + 2*j - 35, a*y + 5*j - 60 = 0. What is the lowest common multiple of y and 1?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*((sqrt(5103) - (sqrt(5103) + sqrt(5103)*-1)*-6) + sqrt(5103)) + 4 + 3)*-6)**2*1.\nAnswer: -163296*sqrt(7) + 26455716","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -131\/385 + 3\/55. What is the closest to 0.1 in r, -3, 4?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.4 (b) -197 (c) -4 (d) 0.479\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1620\/45)\/((-108)\/(-144)).\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -101402 - 0?\nAnswer: -101402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12221011012012 + 0?\nAnswer: 12221011012012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 543 minutes before 8:20 PM?\nAnswer: 11:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h. Let d(c) = 4*c. Let q(z) = -2*d(z) + 7*f(z). Suppose -4527 = -6*x - 489. Let g(u) = -x + 673 - 22*u. Give q(g(j)).\nAnswer: 22*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -17312 (base 9) to base 8\nAnswer: -27216","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.8 less than 486.15?\nAnswer: 476.35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*k + 2*z + 1267, -3*k - 2*z - 1012 = -7*k. What is the tens digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 70704 - 160444. Let k = d - -47940. Round k to the nearest 10000.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -421 + 1264\/3. Is s > -0.21?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:28 AM and 9:42 AM?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1838641559 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*h**2\/9 + 1063263620*h\/9 - 141316190701938050\/9.\nAnswer: -2*(h - 265815905)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -50418361 divided by -13.\nAnswer: 50418361\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2.45 - 0.45. What is the third biggest value in 0.3, 0, 4, j?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 3*t - 30. Let l(v) = 16*v**3 - v**2 + v - 1. Let u be l(1). What is the highest common factor of t and u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -5*w - 47. Let y be 3\/w + (-2)\/(-6). Solve 4*d + y*o + o = -12, 5*d = 2*o - 15 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j*j**0)**(-18\/7)\/((j\/(j*j\/(j**(-4\/7)\/j)))\/(j\/j**6)))**(-28\/5))**46 assuming j is positive.\nAnswer: j**1288","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 774073 to the power of 1\/5, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 8158155 to the nearest integer?\nAnswer: 201","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -71 - -215\/3. What is the nearest to 0 in 2, 0, j?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/310 and 23\/682.\nAnswer: 3410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 12 and 4034.\nAnswer: 24204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 15\/4 of a kilogram?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 944, 1813, 2668, 3503, 4312, 5089, 5828?\n\"Answer: -r**3 - r**2 + 879*r + 67","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -12*v**3 + v**2 + v - 2. What is the units digit of a(-2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the second derivative of -p**3\/3 - p. Let v(i) = -6*i**2. Determine v(n(l)).\nAnswer: -24*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7127?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 4796?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 4*q - 0. Sort q, 5, 0, 6 in decreasing order.\nAnswer: 6, 5, 0, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 80780569.\nAnswer: 461, 175229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Let r = 391 + -318.3. Let x = r - 73. Let k = 5.3 + x. Which is the fourth smallest value? (a) 2\/13 (b) -2\/9 (c) -3 (d) k\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0002025 to 4 decimal places.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 465*a + 17. What is the smallest common multiple of 11 and p(1)?\nAnswer: 5302","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 3*c + 321. Let j(w) = w. Determine j(h(p)).\nAnswer: 3*p + 321","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a\/(a**(-2\/3)*a))**(-23)*(a\/a**(-1\/5))\/a*a**(-12) assuming a is positive.\nAnswer: a**(-752\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 11111011 (base 2) to base 3\nAnswer: 100022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -860 or -129833\/151?\nAnswer: -860","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/4*(-3020)\/60400\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -6*k - 7. Let x(u) = 7*u + 7. Let t(q) = -6*l(q) - 5*x(q). Let a be t(-5). Put -6, 4, a in increasing order.\nAnswer: -6, a, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide (-6 - -357)*(-14)\/(-21)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2761744?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (12*59683\/(-26))\/(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 157671161 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the second derivative of y**5\/20 + 7*y**4\/12 - 4*y**3\/3 + 5*y**2\/2 + 152*y. Give q(-8).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 147 + -87. What is the tens digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 36983770 and 113?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in -2, 3, -9?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is n in 0 - 8\/3*n**2 - 4\/3*n + n**5 + 1\/3*n**3 + 8\/3*n**4 = 0?\nAnswer: -2, -1, -2\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 2\/9, 3\/7, -4, -1\/3?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 0\/((-2)\/(((-2)\/(-2))\/1))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 1 = -2*o + 3, i - 1 = 2*o. Let r = o - -11. Let x be (-11)\/4 + r\/(-44). What is the smallest value in -0.1, x, 1\/7?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 322 minutes before 1:39 AM?\nAnswer: 8:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -23*a**2 - 993*a + 838. Give x(-44).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 8*i. Let d(a) = -65*a. What is -3*d(u) - 25*w(u)?\nAnswer: -5*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 848710?\nAnswer: 2, 5, 84871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ppppppplpifflppp. Give prob of sequence fpf.\nAnswer: 11\/1680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f. Let u(n) = -5*n + 5*n + 8*n**2. Calculate m(u(t)).\nAnswer: -8*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 134, 287, 474, 713, 1022?\nAnswer: 1419","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((sqrt(175) - (sqrt(175) - 2*(0 + sqrt(175))))*2 + (-3 + 1*sqrt(175) + sqrt(175) - (sqrt(175) + -1)*6) + -5)**2*-4.\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (18\/7)\/(140\/(-490))\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the third derivative of l**6\/60 + 7*l**5\/60 + l**4\/24 - 2*l**3\/3 + 2*l**2. Let w be h(-3). Solve -w*u + 0*u = 8 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 140416?\nAnswer: 2, 1097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -3*w - w**3 - 12 + 0*w**2 - 4*w**2 + 16. Let z be p(-3). Solve -4*d - z = -3*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 27559 + -11038. What are the prime factors of p?\nAnswer: 3, 5507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2.8 + 89.3. Let f = m - 87. Let k be ((-17)\/(-15) - 1)*-3. Which is the smallest value? (a) 9 (b) k (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(28) + sqrt(28))*-1)\/(sqrt(28)\/(sqrt(7) - -1*sqrt(7))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 451 - 451 - 14*j**2 + (2*j**2 + j**2 - 5*j**2)*(-2 + 5 - 2) to the form q*j + b*j**2 + c and give b.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 11.1 in -4, 5\/7, 6, 3?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:55 AM and 5:40 PM?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c**(4\/7)*c**9)**29*(c*c*c**(-1\/3)\/c)**12*((c**(-1\/4)*c)\/c*c)**(-13\/5) assuming c is positive.\nAnswer: c**(43767\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 2*f**2 - 12 + 5*f - 4*f + f**3 + 3 - 3*f**2. Let i(j) = -4*j - 7. Let h(m) = -m. Let u(k) = -3*h(k) + i(k). Let b be u(-7). Give t(b).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -3*w - 18. Let k be m(-8). Let q(u) = -u**3 + 8*u**2 - 3*u. Let p be q(k). Let y be 96\/6*(-9)\/(-4). What is the highest common factor of y and p?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1271 is divided by 26?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from knnknkvvcthkk. What is prob of sequence vh?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 62, 103, 206, 401, 718, 1187, 1838?\n\"Answer: 5*l**3 + l**2 + 3*l + 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 18019aa (base 11) in base 4?\nAnswer: 23223223231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yy when two letters picked without replacement from {h: 2, y: 4, t: 3}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -130 - -388\/3. Let a be (-1479)\/(-1428) + 6\/(-8). Sort a, 0.5, o, 14 in decreasing order.\nAnswer: 14, 0.5, a, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 79626683 to the power of 1\/3, to the nearest integer?\nAnswer: 430","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 111 = 13*a + 7. Let f(z) = -36*z + 2. Let b be f(-8). Suppose 8*d + 74 = b. Calculate the remainder when d is divided by a.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n**3 + 8*n**2 + 6*n - 5. Let a be x(-7). Suppose -a*z + 12 = -4. What is the units digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26015553.\nAnswer: 3, 23, 41893","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5*5*(-16)\/40.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1132248413.\nAnswer: 1132248413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 2, u: 2, r: 4, n: 1, q: 2, e: 1}. What is prob of sequence kqu?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(375) + (sqrt(135) - (2*sqrt(135) + sqrt(135) + sqrt(135)) - sqrt(135)))\/(5*sqrt(3)*4 - ((sqrt(18)\/sqrt(3))\/sqrt(2) + sqrt(3) + sqrt(3))).\nAnswer: 8*sqrt(5)\/17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a day in minutes?\nAnswer: 540","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hrwnrwc. What is prob of sequence rhnc?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 17669959*k**3 + 23*k + 105730?\nAnswer: 106019754*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 5 - 3)*(745*h - 1487*h + 30 + 748*h) + 1 - 2*h - 1 + 1.\nAnswer: 4*h + 31","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 70 divide 7115080?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11927.\nAnswer: 11927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 270 - 1681. Let u be (-4)\/(-34) - f\/289. Suppose -u = o - 7. Solve 0 = -o*s - 3*s + 15 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 35*d**3 - 14*d**4 - 35*d**3 + (-15*d + 0*d - 2*d)*(2*d**2 - 3*d + 2*d**3 - 5*d + 6*d).\nAnswer: -48*d**4 - 34*d**3 + 34*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 8\/32 + 10\/(-8). What is the units digit of 3*(p + (-92)\/(-12))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 4*q - 9 = 0, 2*x + 4*q - 8 = 2*q. Suppose 5*w - 30 = -6*y + x*y, 0 = -4*w + 4*y + 48. Calculate the smallest common multiple of w and 10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express n**2 - 5*n**2 - 5*n**2 as v*n**2 + h*n + q and give v.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 6 = -f, 5*f = 3*f + 5*k + 17. Which is bigger: -3 or f?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 7 = 5*h. Suppose -45 = r - h*r. What is the tens digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 335 = 2*t, -7*t + 3*t = 0. What is the tens digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**9*i**(-19))**42 assuming i is positive.\nAnswer: i**(-420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 209 minutes after 1:26 PM?\nAnswer: 4:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7572590?\nAnswer: 2, 5, 757259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 180\/(-13) - (-2)\/(-13). Let t be (u - -13)\/(1\/141). Let o = -14 + t. What is o rounded to the nearest 10?\nAnswer: -160","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(14)\/sqrt(18))**2 - -3*(-1*sqrt(7) + sqrt(7))**2) + ((-2*sqrt(756))\/sqrt(12))\/sqrt(9) - (-1 + 6*(sqrt(175) + 2))*-5.\nAnswer: 502\/9 + 148*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Are 32\/37 and 1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c\/((c\/(c\/((c*c*c**(-17\/2))\/c)))\/c*c)*c**17\/c assuming c is positive.\nAnswer: c**(49\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v**2. Let c be (-19 + 5)\/((-3)\/6). Let f(n) = -26 - 8*n**2 - 9*n**2 + c - 6*n**2. Determine i(f(o)).\nAnswer: 529*o**4 - 92*o**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10028 is divided by 1001.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 491*d**6*m + d**4*m**2 + 2*d**2*m**2 + d**2 - 70*d*m wrt d.\nAnswer: 58920*d**3*m + 24*d*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 264 - -210. Suppose p = 2*t + 2*j - j, j - 235 = -t. Suppose -5*d = -716 - t. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1 - 825?\nAnswer: -824","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*5*sqrt(484))\/sqrt(11))**2*4.\nAnswer: 158400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -15 - -10. Let b(o) = -o**3 - 4*o**2 + 6*o + 7. Let t be b(n). Suppose 16 = 2*f + t*f. Calculate the least common multiple of f and 11.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) -2\/4233 (b) -1\/4 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen quarters of a millennium in years?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c - 5 - 1 = 0 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-x + x + x)*((-5*x**2 + 3*x**2 + x**2)*(0*x - x + 2*x) - 35*x**3 + 25*x**2 - 25*x**2).\nAnswer: -36*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 22.38843 days in milliseconds?\nAnswer: 1934360352","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 6938111 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -442, -508, -618, -772, -970, -1212?\n\"Answer: -22*c**2 - 420","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -62b8 + 2?\nAnswer: -62b6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2.11 and 4?\nAnswer: -8.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 2*c**2 - 2*c - 1. Let p be ((-2)\/(-4))\/(6\/12). Suppose l = -3 + p. Let z be g(l). Solve 2*v + z - 1 = 0 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.238? (a) 12\/59 (b) -38 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, -52, 5, -7 in descending order.\nAnswer: 8, 5, -7, -52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 8459? (a) -1\/2 (b) 0 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 319957?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 786507.4 rounded to the nearest 100000?\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 7) in base 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 131\/23244 and -167\/2160?\nAnswer: 4183920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37725?\nAnswer: 3, 5, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -14544309123 - 4982\nAnswer: -14544314105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0\/1)\/(146 + -145).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 318573\/64 > 4979?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 848, 1713, 2594, 3497, 4428, 5393, 6398?\nAnswer: 7449","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -137 - 4 + 100 + 0*j - 2*j in the form t + d*j and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6685156.249005917 - -153718719.750993963. Let o = s - 160403884. Let b = -8 - o. What is b rounded to 7 decimal places?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-432)\/60)\/((-3)\/10) + -2. Let v = -24 + o. What are the prime factors of 2*1\/v - -104?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 5*r**3 + 5*r**2 - 24*r + 32. Is 55 a factor of a(7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + b = -4. Let z(n) = -3*n**3 - n**2 - n - 1. Let f be z(-1). Factor b*i**2 - 2*i**f - i**3.\nAnswer: -i**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1386, -5592, -12612, -22440, -35070, -50496?\nAnswer: -68712","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1*(-3 + -1) + 0 + 12. Suppose 2 = 5*m - 6*m. Let k = m + 33. Solve t = 5*w - d + k, 5*w - 2*t + 21 = 0 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 34017428?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/7 (b) 0 (c) 4 (d) -0.4 (e) 344\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4\/(-6)*((-63)\/14)\/1. Let p(h) = 7787*h**3 + 5*h - 7788*h**j + 5*h**2 - 2 - 1. Give p(6).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1\/((-6)\/9)*599\/(-1198)\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1 - ((-19)\/3 + (-11)\/(-33)). Suppose 4*a = -s*p + 28, -6*a - 6 = -a - 4*p. Suppose -2*q + 9 = -3. What is the smallest common multiple of a and q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 146300 a multiple of 95?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g - 8. Let j be (3\/2)\/(-3 + 252\/80). Let n be b(j). Suppose n*h + 4*d + 0 - 18 = 0, -h - 3*d = -8. What is the greatest common divisor of h and 99?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/5? (a) 1\/12 (b) 2 (c) 1397\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 divided by 14629625.\nAnswer: 13\/14629625","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen eighths of a millennium in years?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i**2 + 1. Let x(p) = 9*p**2 + 9*p - 1. Let k(d) = -j(d) - x(d). What is the second derivative of k(m) wrt m?\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) -4 (b) 0.3 (c) -5 (d) 3\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2661161?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (-2*(4 + 4*sqrt(19)))**2.\nAnswer: 128*sqrt(19) + 1276","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.72 + 7.93. Let a = 10.111 - s. What is a rounded to 1 decimal place?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*m = -11476 - 8860. Suppose -12*d + 15626 = -m. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 42*g**3 + 3*g**2 - 3*g. Let v be n(1). Suppose 0 = -5*y + 4*l + 2193, -2*y = -6*y + l + 1761. What is the highest common factor of v and y?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = 4*n - 28. Let w = -34 - -21. Let f = n + w. Is f <= -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2488, 9960, 22422, 39880, 62340, 89808, 122290, 159792?\nAnswer: 202320","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:05 AM and 7:55 PM?\nAnswer: 530","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dd when two letters picked without replacement from {d: 3}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 + 4 = -d. Suppose 84 - 4 = d*r. Let q(c) = -c**3 - 8*c**2 - 8*c + 5. What is the least common multiple of q(-7) and r?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10739 + 1049 = 510*f for f.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -751 + 773 + (0 - 14)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 - ((-351)\/42)\/(-24 + 1666\/68).\nAnswer: 40\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000040256761 rounded to seven dps?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: What is 2534924 to the power of 1\/3, to the nearest integer?\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 92, 93, 94, 95, 96, 97?\nAnswer: 98","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1025221, 1025180, 1025113, 1025020, 1024901, 1024756, 1024585?\nAnswer: 1024388","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-123)\/(-27) - (-28)\/63. Let b = -1 - -1. What is the tens digit of (b + -65)*(z - 6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/6*(9 + -3). Let j be 2\/4 + 5\/a. Suppose j*t - 5 = 58. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, a: 1, n: 2, r: 2}. Give prob of sequence qna.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 + 159\/81)\/((-2)\/12).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the third derivative of -a**6\/30 - a**5\/10 - a**4\/6 + a**3 - 15*a**2. Let h(g) = -g**3 - g**2 - g + 1. Calculate -6*h(i) + q(i).\nAnswer: 2*i**3 + 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z and 1 v when three letters picked without replacement from {v: 5, p: 6, z: 2}.\nAnswer: 5\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-171)\/90)\/19)\/((570\/18)\/(30\/18)).\nAnswer: -1\/190","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t*t**1)*t\/((t*t**0)\/t))\/(t\/(t**(-2\/21)*t)*t**6\/t) assuming t is positive.\nAnswer: t**(-107\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3 - 2 - 3)*(-2*s + 0 + 0) + 2 - 2 + 13*s)*(-2 + 0 + 0).\nAnswer: -34*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the second derivative of -z**7\/3360 + z**6\/240 - 3*z**5\/160 - z**4\/6 - 137*z**2\/2 + 3*z + 32. Let u(n) be the third derivative of g(n). Factor u(i).\nAnswer: -3*(i - 3)*(i - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5884, -10729, -15700, -20797, -26020, -31369, -36844?\nAnswer: -42445","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1859493.8 plus 0.1809?\nAnswer: 1859493.9809","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 12\/(-2*2) + -55. Let v be 2 - (-1)\/(k\/108). Suppose -2*x - 1 = 4*f + 1, -3*x = -2*f + 3. Is f smaller than v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5 - 6. Let d(f) = -2*f**3 + 1. Let r be d(q). Suppose 0 = -2*v - r*v + 35. Calculate the smallest common multiple of v and 9.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 21459994 = -2*a, -8*a - 3*u = -6*a + 21460006. What is a rounded to the nearest one million?\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*c + 0*c + 3*c)*(0 - 5 + 0)*(-49 - 106 + 46).\nAnswer: -545*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -153, -193, -259, -351, -469, -613?\n\"Answer: -13*f**2 - f - 139","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 183968550 to the power of 1\/3, to the nearest integer?\nAnswer: 569","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express d + d**2 - 4*d**2 - d**2 + 2*d**2 as q*d + j + u*d**2 and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 13071 or 13259?\nAnswer: 13259","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 3 j when four letters picked without replacement from jqpqjjgssjpjsppjqjq.\nAnswer: 35\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 59430719 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 11, 856 in descending order.\nAnswer: 856, 11, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -28 + 33. Solve 4*d = -h - h + 10, 5*h + z = 0 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*i = -663 - 349. Let z = i - 87. Solve -8 = -3*m - z for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.13 (b) -1\/2 (c) 2\/9 (d) 51.3 (e) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.16668181 rounded to two dps?\nAnswer: -0.17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -20 (b) 0.4 (c) -5 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5875*k - 13793 + 102225 - 6182 = 0 for k.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 6.1 (b) -0.014 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 = -2*r - 7 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 74537 to the nearest integer?\nAnswer: 273","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b**3 - 14*b**2 - 100*b - 331. What is c(-7)?\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1234*h**4 + 686*h**2?\nAnswer: -29616*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the second derivative of -j**7\/84 + j**6\/30 + 3*j**5\/40 - j**4\/3 + j**3\/3 + 127*j. Suppose p(w) = 0. What is w?\nAnswer: -2, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-2)\/(-4))\/(2\/76). Let p be (-36)\/30*(-1 - 9). Let g = q - p. What is the units digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 6*s**2 + 5*s + 1. Suppose 0*h = 2*k + h + 8, -26 = 4*k - 3*h. Let d be v(k). Calculate the greatest common factor of d and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*m**2 - 2790*m - 2787.\nAnswer: -3*(m + 1)*(m + 929)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 25 - -3. Let s = c + -25. Suppose 2*t = s*t - 4. What is the nearest to 0.2 in 0.3, 3, t?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0036695581 to 3 decimal places.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from {i: 12, x: 1, k: 7}.\nAnswer: 21\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - w + 5*w = 104, 97 = 5*n - 3*w. What is the smallest common multiple of 20 and n?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**4\/6 + 3431*g**3\/3 + 570810*g**2 + 92098683*g + 9833474727\/2.\nAnswer: -(g - 7339)*(g + 159)**3\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 5184, 5164, 5102, 4980, 4780, 4484, 4074, 3532?\n\"Answer: -3*q**3 - 3*q**2 + 10*q + 5180","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 51*a**2*i**3 + 2785*a**2*i**2 + 4*a**2 - 4*a*i**5 - 4*a*i**4 wrt i.\nAnswer: 306*a**2 - 240*a*i**2 - 96*a*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -4\/7, 1, 3\/5, -1.08?\nAnswer: -1.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 218 - 659 + 220 + 223 - 42*w**2.\nAnswer: -42*w**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 20254 and 41729.\nAnswer: 845179166","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -8\/15 (b) 1 (c) 5 (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + i = -7, 3*v + 4*i - 11 = 2*v. What is the least common multiple of ((-15)\/(7 + -2))\/(v\/(-258)) and 8?\nAnswer: 1032","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 25 and 2315.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*j + 5 = -47*j - 32. Let h(g) = g + 4. Let y(w) = -w + 1. What is j*h(p) - 3*y(p)?\nAnswer: 2*p - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1848.997596 - 1849. Round p to four decimal places.\nAnswer: -0.0024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 35969013?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Are 258585\/2 and 129293 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0242881868 rounded to four dps?\nAnswer: -0.0243","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21396 is divided by 6637?\nAnswer: 1485","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 670?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12*((-43)\/(-3096) + 1\/9)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -240*v**2 + 477*v**2 - 240*v**2 + 47*v in the form q + o*v + h*v**2 and give o.\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5264861.\nAnswer: 7, 23, 53, 617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.11? (a) -72 (b) 5 (c) 0.02 (d) 189\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 117538 and 51?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 7, n: 1, k: 1, e: 2, x: 1, o: 2}. Give prob of picking 1 k and 1 l.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (sqrt(17) - (-5*sqrt(272) - sqrt(17))) + sqrt(2448)*-2)**2.\nAnswer: 12*sqrt(17) + 77","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.3 - 78411716?\nAnswer: -78411713.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7072 and 204?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s**3 - 199*s**2 - 19*s + 2722. Calculate w(199).\nAnswer: -1059","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3614*k = -3605*k - 9 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 308, 622, 936?\n\"Answer: 314*i - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1292457676 to the nearest integer?\nAnswer: 35951","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -77255, -155540, -233839, -312158, -390503, -468880, -547295, -625754?\n\"Answer: -y**3 - y**2 - 78275*y + 1022","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 60255 is divided by 15021?\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 76220119*l*v**3*y**2 - 7996*l*v**2*y**2 - l*v**2 + 4*l*v*y**2 + 14*l*v - v*y**2 wrt v.\nAnswer: 457320714*l*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 37*z**4 + 78*z**2 + 5. Let m(l) = -19*l**4 - 39*l**2 - 3. Let y(v) = -5*m(v) - 3*w(v). What is the third derivative of y(c) wrt c?\nAnswer: -384*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.4, -2\/5, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -157036\/5499 or -28?\nAnswer: -28","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -d + 7. Let k(f) = -f**3 + 5*f**2 + f + 5. Let c be k(5). Let i = -8 + c. Let q be (60\/(-40))\/((-1)\/i). Determine p(q).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 349024237 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -1649 + 1644 - (-1 + 1 - 0 - 2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5293 + 5263. Is -663\/23 less than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.06 - 0.16. Let r = 0.4 + f. Let u be 1\/4 - (-3)\/(-28). Which is the biggest value? (a) u (b) r (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-410)\/328)\/(15\/(-8))\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 4252 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by -12\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 32545\/75 + (-3)\/(-45)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = 4*a - 1328650, 3*k - k - 332164 = -a. Suppose -4*n + 295838 = -a. Round n to the nearest 10000.\nAnswer: 160000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.031943631 rounded to 6 dps?\nAnswer: -0.031944","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -2 + (3\/(-9))\/(6\/(-18)). Let i(j) = j**2 + 4*j**2 - j + j**2 - 7*j**2. Let b(d) = 5*d - 2 + 3*d**2 + 0 + 3. Determine f*b(s) - 5*i(s).\nAnswer: 2*s**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 14 and 140.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-91 - 3) + 81 + 49?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.850455 nanoseconds to seconds.\nAnswer: 0.000000000850455","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 267451, 267433, 267415, 267397, 267379, 267361?\nAnswer: 267343","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:36 AM and 2:20 AM?\nAnswer: 44","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Do 5457 and -166 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-10)\/25)\/(2\/(-355)). Let m = x - 71. Suppose -2*i + 10*i - 72 = m. Calculate the least common multiple of 1 and i.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vcqwvcppvv. Give prob of picking 2 p and 1 w.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -7174576000 rounded to the nearest 1000000?\nAnswer: -7175000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61 = -4*r - 5*i, 3*i = -4*r + 7*i + 52. What are the prime factors of (8\/(-10) - -1)\/(r\/60130)?\nAnswer: 859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 16 and 15436688.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4702698.\nAnswer: 2, 3, 7, 11, 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 24*i**3 + 28*i**2 - 75*i - 9. Is q(8) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 3)*(2 - 1 - 5)*(5*q**3 - q**3 - 2*q**3).\nAnswer: -24*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -59.2 + 61.2. Which is the third smallest value? (a) o (b) -1\/8 (c) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*r + 180 = -33*n + 34*n, -r = -3*n + 23 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 315511.\nAnswer: 7, 47, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3901085?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/9, 0, -0.3, 1\/3, -0.5, 48, 8\/93?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (8*17\/272)\/((-1)\/6). Sort x, 3, 68, 20 in decreasing order.\nAnswer: 68, 20, 3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6? (a) 0.03 (b) -0.2 (c) -28.21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -4 (b) 1\/39 (c) 2\/11 (d) 203 (e) 3\/5 (f) -2\/5 (g) 8\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6 and 20?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/16 of a kilometer in centimeters?\nAnswer: 56250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*c = -12*c - 4*r + 3840, -3*c - 2*r + 2885 = 0. List the prime factors of c.\nAnswer: 5, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the third derivative of -73*z**8\/56 + 21*z**5\/2 + z**4\/12 + z**2 + 11. What is the third derivative of m(q) wrt q?\nAnswer: -26280*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 158189 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5 + 222?\nAnswer: 230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -10*n. Let t(j) = 756635*j. Calculate t(u(m)).\nAnswer: -7566350*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 296 minutes after 1:43 PM?\nAnswer: 6:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + -4*(sqrt(192) + sqrt(192)*-2))**2 - (0 + sqrt(108) - 6*sqrt(18)\/sqrt(6))**2.\nAnswer: -128*sqrt(3) + 3076","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4933\/780 - 82\/13. Let x(d) be the third derivative of 0 - b*d**6 + 0*d**4 - 4*d**2 + 0*d - 1\/30*d**5 + 0*d**3. What is t in x(t) = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (0 + 1)\/((-4)\/(45 - 1)). Calculate the common denominator of 2\/m + 3098\/(-264) and 109\/26.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n**2 - 2036*n + 208220. What is u(108)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0249 times -0.2?\nAnswer: 0.00498","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19979 is divided by 30.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: ((10\/(-5))\/246)\/((-153)\/459)\nAnswer: 1\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 16*((-15)\/6 + (-2 - -5)). Find g such that 9*g**3 - 2*g**2 + 3*g**4 + g**2 - 11*g**2 - g - q*g + 12 - 3*g**2 = 0.\nAnswer: -4, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 154 and 2158.\nAnswer: 166166","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 4425341 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -246, -349, -520, -759, -1066?\n\"Answer: -34*b**2 - b - 211","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 52899?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -59\/952594 and 3\/511148?\nAnswer: 20957068","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 17404099 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 417 - 412. Suppose 0*p + 3*p = 9. Put z, 1, p in increasing order.\nAnswer: 1, p, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30736791.\nAnswer: 3, 113, 30223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 5 (b) 6 (c) 59 (d) 3 (e) 175\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 817.1006km to meters.\nAnswer: 817100.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10010113 - 2330?\nAnswer: 10001123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 12444075 minus 0.048076?\nAnswer: 12444074.951924","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-3))**(1\/29) assuming t is positive.\nAnswer: t**(-3\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 25146\/7 - 3584. Find the common denominator of -29\/7 and l.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the third derivative of -a**6\/40 - a**5\/20 - a**4\/8 - a**3\/6 - 3*a**2 - 8*a. Let y be f(-1). Solve 2*j = -0 + y for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12.7 times -0.57834?\nAnswer: -7.344918","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:18 AM and 5:17 PM?\nAnswer: 719","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -19 and 0.04.\nAnswer: -0.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the first derivative of -h**6\/33 - 4*h**5\/55 + 3*h**4\/22 - 5. Factor i(l).\nAnswer: -2*l**3*(l - 1)*(l + 3)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 1 and 5\/149 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (2*1)\/(236\/(-472))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - (0 + -11 - (-2 - (6 - 6))).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 986?\nAnswer: 2, 17, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*k + 4*p - p + 3, 0 = -5*p - 25. Suppose q - 6 = 2*d + 3, 0 = 4*q + k*d - 58. Which is bigger: q or 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one fifths of a litre in millilitres?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 18 or 13?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2305 - -4056. Is w a multiple of 83?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 55223170.\nAnswer: 2, 5, 1531, 3607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((15*58\/2175)\/(56\/10))\/(11\/(-572)).\nAnswer: -26\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = -5*u + 3580 + 147, -2 = c. What is the remainder when u is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.576 rounded to 0 dps?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - (1 - 0) - (37 - 40 - 3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = -w - 4, 5*s - 3*w - 2*w + 10 = 0. Let l = s - -31. Suppose 3*i + 7*c = 2*c + l, 0 = -4*i + 5*c - 8. Solve 0 = -5*t - 12 - i for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 588\/1176*1\/2?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-4))\/(-1)*(1 - 3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*h - h + 76. Let w = 565 + -397. Suppose -170*q = a - w*q - 3, 0 = -a + q + 3. Solve 4*u + a*s = -0*u - 29, 2*s = 5*u + h for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 96 and 352.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the first derivative of a**5 + 3*a**2\/2 + 9. Find the second derivative of n(z) wrt z.\nAnswer: 60*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3480 - -4683. Is y a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 274 and 37538?\nAnswer: 274","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -388 + 139 + 2*x + 125 + 124.\nAnswer: 2*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-2\/3)*x*(x*x**(1\/3)\/x)\/x*x)\/((x**(-1)\/x)\/x**(1\/3)))**(-45) assuming x is positive.\nAnswer: x**(-135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -10585286 - 54461\nAnswer: -10639747","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -271, -241, -213, -187?\nAnswer: -163","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 271544319?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j - 5*i = 13, i + 735 = -3*j + 718 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -15*z. Let k(u) = -13*u + 1. Calculate -4*g(n) + 5*k(n).\nAnswer: -5*n + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j**2 + 4*j - 4. Let u(g) = 3*g**2 - 11*g + 11. Let s(y) = 4*u(y) + 11*x(y). Let r(m) be the second derivative of 5*m**4\/12 + 2*m. What is s(r(p))?\nAnswer: 25*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence swst when four letters picked without replacement from swsttwtwttwtt.\nAnswer: 7\/2145","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 17367 a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.007204 rounded to four decimal places?\nAnswer: -0.0072","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 + (-3 - 12))\/(-40 + 42).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*z + 4*z + 0*z + 11)*((-1 + 2 - 2)*(-2 + 1 + 0) + 0 + 5 - 4).\nAnswer: -4*z + 22","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4540 by -20.\nAnswer: 227","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 83*v - 26 = 84*v + 4*q, 0 = -5*v - 5*q - 40 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + -5 + -1*((0 + sqrt(405))**2 + -3 + 4*4*sqrt(45)).\nAnswer: -406 - 48*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 585 minutes after 4:34 PM?\nAnswer: 2:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 12*w**3 - 1. Let g(i) = i**3 + i**2 - i + 3. Let q be g(-2). Determine n(q).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 6 = 3*v + 21, 4*v + 28 = 2*x. Let j(o) = -o**3 + 4*o**2 + 2*o - 2. Let u be j(x). Solve 4*f = f - u for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the second derivative of 3505*y**3\/6 - 2534*y**2 + 3*y - 256. What is the derivative of i(v) wrt v?\nAnswer: 3505","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32627231?\nAnswer: 7, 13, 358541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 32\/14 - (-6)\/(-21). Let y be (l + (-6)\/(-3))\/1. Suppose 0 = -y*q + 6*q. Which is the nearest to 0? (a) 0.4 (b) q (c) 3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 88684947 is divided by 4024.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -797*r - 8761. Give q(-11).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 982890 a multiple of 335?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -26356\/63 or -418?\nAnswer: -26356\/63","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.098*6412.\nAnswer: 628.376","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*l = -29*l - 5*c - 867, -3*c = 6. Is l a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p**3 + 7*p**2 + 20*p + 17. Let l be z(9). What is the common denominator of -25\/12 and (-1)\/(((-1932)\/l)\/4)?\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2264068543?\nAnswer: 11, 617, 333589","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.2, 0.08, -0.3, -3, -3\/4?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -8*w**2 + 125*w + 940. Let s be h(21). Let m = 8 + -5. Solve -4*y + s = -5*l, -m*y - 3*l = 2*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 3*d**2 - 66*d + 240. Let x be h(45). Suppose 0 = -4*m + 6*m + 5*c + 2746, -6 = -3*c. Let v = x + m. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = 4*z - 4, -w + z = 4*z + 7. Find the second derivative of w + 4*r**4 - 8 - r wrt r.\nAnswer: 48*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (5\/(105\/(-14)))\/((-30)\/18463635) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oojooooojjjj. What is prob of sequence ojj?\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 708187430?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 3*s = -2*s - 10, 2*u - 5*s = 0. What is the units digit of 1*u + 2 + -5?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -2109, -16772, -56581, -134112, -261941, -452644, -718797?\n\"Answer: -2096*t**3 + 3*t**2 - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/2)\/(3\/6).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58*v = -60*v + 20. Suppose 0 = 3*y - 5 - v. Suppose -3*h + y*o = -7*h + 6256, -2*o = 2*h - 3126. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.58 - -1.3. Let u = 0.7251 - d. Round u to three dps.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -641*x - 14072. Calculate t(-22).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n, 1 q, 1 x, and 1 v when four letters picked without replacement from rxqvvnne?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t**3 + 3*t**2 - 3*t - 5. Let k be o(4). Let b be ((-171)\/k)\/((-6)\/310). Suppose -j + b + 2 = 0. Is j a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4106215?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (468\/(-51))\/(-4) + -3. Let b(a) = a**2 + 9*a + 7. Let u(g) = -g**2 + 7*g. Let j be u(8). Let p be b(j). Is p smaller than q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27777 is divided by 4251.\nAnswer: 2271","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 102*d**3 + 3*d**2 + 6 with respect to d.\nAnswer: 306*d**2 + 6*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 198 + -207 + (14 - -1)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 2, g: 1}. Give prob of sequence eg.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:22 AM and 11:27 AM?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = -d + 17, -d + 0 = -2*a + 1. Suppose -2*q - 25 = 5*f, -2*q - a = -f + 16. Let j = -6 - q. Let y(l) = -l**3 + 5*l**2 - 4*l - 2. Determine y(j).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7232 is divided by 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -55\/4 and 69\/344.\nAnswer: 344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-37)\/222*(-1 + -2)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/5, -1\/2, 69, 0, -42, -11 in decreasing order.\nAnswer: 69, 2\/5, 0, -1\/2, -11, -42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 1 = 53. Calculate the greatest common divisor of 13 and m.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 917 is divided by 305?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 29647888 to the nearest integer?\nAnswer: 310","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 15343 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p**3 + 6*p**2 + 6*p + 10. Let a be m(7). Suppose 1 - a = -l. What is the common denominator of l + -1 + 51\/27 and 29\/2?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-q - 1 - 2 + 4)*(q + q + 0*q)*(-1 + 1 - 2*q) + 11*q**3 - 4*q**3 + 5*q**3 in the form v + s*q**2 + i*q + a*q**3 and give s.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 271*k - 512*k + 255*k.\nAnswer: 14*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) 4 (b) 0.01 (c) -13098 (d) 0.4 (e) 3\/2 (f) -35\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8 by -92.\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -5 (b) -2\/21 (c) -2\/495 (d) 1 (e) 57\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 1158?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1836707026 to the power of 1\/3, to the nearest integer?\nAnswer: 1225","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1485\/4 + 372. Let w = 1 + -1.4. Which is the nearest to -1\/4? (a) j (b) w (c) 1\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 57 is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 342680.8 decades to centuries.\nAnswer: 34268.08","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -3395 - 51*s**2 - 67*s**2 + 3395 as f*s + l + b*s**2 and give b.\nAnswer: -118","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3 + 18\/(-3) - -7. Find the second derivative of -14*i**5 - 4*i**5 - s*i + 11*i**5 wrt i.\nAnswer: -140*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve x = 39*m - 34*m - 14, 6*m + 21 = -3*x for x.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 663 minus -0.02?\nAnswer: 663.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 64910485 to the power of 1\/3, to the nearest integer?\nAnswer: 402","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2 - (-11)\/((-22)\/(-48)). Let r = 16 - f. Let y(n) = -42*n + 19. Is y(r) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 12\/(-7) + (-12)\/(-6). Let o = 0 + -2. Let r = 1.9 + o. What is the nearest to -1\/5 in -0.5, u, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 9135 + -8835. Calculate the highest common factor of 468 and o.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k**2 + 32376*k + 3. Let n(o) = -3*o. What is n(l(i))?\nAnswer: -3*i**2 - 97128*i - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -222.5 to the nearest integer.\nAnswer: -223","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -902 divided by 7987?\nAnswer: -902\/7987","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 353 < 353?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 56 + -33. Let o = 22.43 - v. Let h = 0.13 - o. Which is the nearest to -0.1? (a) -1\/8 (b) -2 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 5, c: 5, j: 8}. Give prob of sequence cw.\nAnswer: 25\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -2*z + 2. Let q(m) = -6581*m. Determine i(q(k)).\nAnswer: 13162*k + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 28980075 and 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = -a + 20. Suppose a*w + 10 = 0, c + 2*w = -2*c + 251. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 84 + 46 = 0. Let r = -15 + t. What are the prime factors of r?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(((sqrt(432)*-1 - sqrt(3))**2 - sqrt(3)) + 0).\nAnswer: -sqrt(3) + 507","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 20205750?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1 + 0.6. Let d = -0.02 + 0.02. Which is the third smallest value? (a) d (b) m (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2*1\/(-2)*-2. Suppose f - 44 = -4*b, -x*f = -6*f + 4*b + 76. Let a be 19\/2 - 12\/f. Solve -4*k + 7*k - a = 0 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ccz when three letters picked without replacement from {c: 3, z: 11, n: 1, e: 1, r: 1, j: 1}?\nAnswer: 11\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence po when two letters picked without replacement from oopopzmmdzdvovod?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*s - 2*s + s)*(26 + 14*s + 31 - 37) to f*s**2 + i*s + j and give f.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-g + 3*g + 0*g)*(-2 + 2 + 7)*(-178 + 356 - 180) to the form i + u*g and give u.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 51.888 rounded to the nearest 10?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4 + 0. Suppose y + d*m = 21, 4*m = 4*y + 7*m - 32. What is the closest to -0.19 in -4, 4, y?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1032141 and 33.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 15 + 3*f**2 + 0*f**2 - 290*f + 289*f + 0*f**2 + f**2 + 0*f**2 + (-3*f + 5*f - f)*(3 + f - 3) + 1 + f**2 - 1 - 3*f**2 + f**2 + f**2.\nAnswer: 5*f**2 - f + 15","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - -5 - -7 - 10.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 (base 5) in base 10?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 9, c: 7}. Give prob of sequence bb.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + -4*(sqrt(1539) - ((sqrt(1539) + -1 - sqrt(1539))*1 - sqrt(1539))))**2 - (2 + sqrt(1539) + 1 + -3 + -3).\nAnswer: 1287*sqrt(19) + 98580","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 52114.04 decades in centuries?\nAnswer: 5211.404","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 30 (base 4) to base 14.\nAnswer: c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v, 1 b, and 2 x when four letters picked without replacement from {v: 1, x: 3, b: 3}.\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1095 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -167, -153, -125, -77, -3, 103, 247, 435?\n\"Answer: c**3 + c**2 + 4*c - 173","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2883961 at least as big as 31723574\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 214\/396 + (4 - (-54)\/(-12)). Which is smaller: t or 1?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*i**3 - 4016*i**2 - 59444*i - 102856.\nAnswer: -4*(i + 2)*(i + 13)*(i + 989)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 52672 + 9206*q**2 + 5844*q - 52672 - 732*q**2 wrt q.\nAnswer: 16948","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 127 and 0.1.\nAnswer: 127.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the first derivative of 0*f - 23 + 0*f**5 + 0*f**2 + 1\/10*f**4 - 1\/15*f**6 + 0*f**3. Factor z(i).\nAnswer: -2*i**3*(i - 1)*(i + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 118018656 and 9408?\nAnswer: 4704","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -411 + 413.78. Let t = -2.78 + n. Are t and 212 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -340467, -340447, -340417, -340371, -340303, -340207?\n\"Answer: f**3 - f**2 + 16*f - 340483","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirty-seven fifths of a litre?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o**2 - 521*o + 1572. Let x be n(3). Solve v - 27 = 5*a, 2*a + 57*v = 61*v - x for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61 - 99 = -4*q. Calculate the remainder when q is divided by 11.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:52 PM and 7:34 PM?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1568) + (sqrt(200)*3)**2.\nAnswer: 28*sqrt(2) + 1800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m**2 - 21*m + 2. Let j be q(21). Let u = j - -3. Suppose u*p = 3*y + 495, 100 - 289 = -2*p + 3*y. What is the highest common factor of p and 68?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 58*a**3 - 1 - 1.\nAnswer: 58*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -o + 4*f, -5*o - 12 = 4*f - 42. What is the least common multiple of (-5 + 0)*54\/(-15) and o\/(-65) + (-158)\/(-13)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cu when two letters picked without replacement from {n: 4, u: 2, c: 8}?\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -23409 - -23420. Let u(j) = 10*j - 27. Calculate u(s).\nAnswer: 83","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 110*f - 65 = 97*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*j - 5*d + 30, 15 = -j - 11*d + 21*d. Let a = -0.1 - -0.1. What is the nearest to a in -3, 1\/3, j?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let i be 550\/220 - 118\/44. Which is the nearest to 31? (a) 0.4 (b) -2 (c) i (d) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3796434*x**3 - 26236439*x**2?\nAnswer: -22778604","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -15185\/4 + 3776. Find the common denominator of q and -35\/32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3 and 1109.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 48*m - 45*m - 768. List the prime factors of (-39)\/13 + (m - 3).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14068 is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 113536999?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2830 - -3802. What are the prime factors of m?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 336 - 1562 = -2*t, r - 949 = -t. What is the hundreds digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 241, 3, -4, -3.\nAnswer: -4, -3, 3, 241","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o**2 - o + 3. Let s be t(-3). Let p = s + 7. Find the first derivative of -8*k**2 + 2 - k**p + 8*k**2 wrt k.\nAnswer: -4*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is r in 2*r**4\/15 + 6*r**3\/5 - 152*r**2\/15 - 56*r\/5 = 0?\nAnswer: -14, -1, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the second derivative of 0 - 3*i**2 + 4*i + 1\/2*i**3. Does 18 divide r(8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 178*a + 936 = 181*a. Let j = 317 - a. Solve j*v - 12 = 3 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1336 divided by -334?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -252*t + 421*t - 152*t - 226*t.\nAnswer: -209*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/9, 3\/8, 0.1692, -2\/5, 53 in descending order.\nAnswer: 53, 3\/8, 0.1692, -2\/9, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that 2*d**2\/3 + 21400*d\/3 + 57245000\/3 = 0.\nAnswer: -5350","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 545919679 to the power of 1\/6, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 + 67*i - 68*i + 3)*(-1 - 2*i**2 + 1).\nAnswer: 2*i**3 + 10*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -1 + (-3 - 1) - (-1 + 1)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 18 + -14. Let k = r - 6. Is 1 - (-3 - (365 - k)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + (24 - -11) + -15?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -38630, -38629, -38628?\n\"Answer: v - 38631","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 108 + 1 = -109*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j + a - 1797, -700 + 2517 = j + 5*a. What are the prime factors of j?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 678985394?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -27 + 31. Which is the second biggest value? (a) -0.4 (b) 0 (c) f (d) 1\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 78303958469 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 421*p - 39. Let g(u) = 84*u - 8. Calculate -11*g(y) + 2*v(y).\nAnswer: -82*y + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 292622, 291778, 290934, 290090?\n\"Answer: -844*a + 293466","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 941733057 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -4834.843 rounded to the nearest ten?\nAnswer: -4830","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*c + 0*c - c + 0*c + 2*c - 3*c + (-3 + 2 + 0)*(0 + 2*c + 0) - 3*c - 2*c + 6*c - 39*c - 2*c + 105 - 101.\nAnswer: -42*c + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -1\/12995?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6933866*m*y*z**3 - 2830*m*y*z + 108*m*z + 4*z**2 wrt z?\nAnswer: -41603196*m*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-3\/4))**(-12\/11)*n**(-8)*((n*n**(-1\/11)*n*n)\/n)\/n*n*n*n*n assuming n is positive.\nAnswer: n**(-25\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6771048 and 72?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -6 + v**2 - 2 - 2*v - 2*v**2 - 6*v. What is the units digit of a(-6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l**3 + 10*l - 13*l**2 - 5*l**2 + 11*l**2 + 11. What is w(-8)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10302 (base 8) in base 6?\nAnswer: -31510","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*i + 6*l - 68 = 11*i + 2*l, 2*i + 275*l - 270*l - 75 = 0 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 9*a + 377. Calculate r(-42).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2551331 (base 6) to base 16.\nAnswer: -21f07","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*s - 9 = -37*s. Which is the fourth biggest value? (a) s (b) -0.5 (c) 3\/4 (d) 0.01\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 0, -3.1, -2, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 divided by 59?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 66?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 141910?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 519719 - 4?\nAnswer: 519715","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -66206718*s. Let n(b) = b. Calculate n(m(g)).\nAnswer: -66206718*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 635 divide 4359092529?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5205 to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -484*n**2. Let b(m) = -7752*m**2. What is b(i(t))?\nAnswer: -1815952512*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 121442051 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-177)\/(-24)*2*((-91572)\/12327)\/(13\/(-7))?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -339 + -1dcd7?\nAnswer: -20232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -9 - -12. Let y(d) = d**2 - 2*d + 2. Let c be y(v). Suppose q + j = 27, -91 = 2*q - c*q - 5*j. List the prime factors of q.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 8*l - 6*l + l**3 + 6*l to h*l**3 + o*l**2 + w + a*l and give a.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 2*b - 7 = -3*b, 3*b = -4*d + 21. Differentiate -d*x**2 + 2 - 4*x**2 + 6*x**2 wrt x.\nAnswer: -8*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 16\/20 + (-2)\/(-10). Let w be (h\/(-2))\/((-2)\/4). Let y(r) = -2*r - 6. Let i be y(-4). Sort w, i, -6 in increasing order.\nAnswer: -6, w, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -37.084 + 0.084. Let n = -29.5 - q. Let l = -1.5 + n. What is the second smallest value in -0.2, -5, l?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -z**3 - 3*z**2 + 3*z + 3. Suppose -5*o = -o + 16. Let c be v(o). Let i be (1\/(-2))\/(1\/(-2)). Which is smaller: i or c?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 32 and -40*(672\/35)\/(-12)?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + 7 + (-5 - (0 - 5) - 13).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -27787, 4, 10.\nAnswer: -27787, 4, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2 - -6) + -3 - 1. Let j be (-6 + 1)\/(3 - p). Suppose 167 = -j*f + 447. Calculate the remainder when f is divided by 19.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d**2 - 5*d + 4. Suppose -6 + 0 = -q. Let v be g(q). Let s = v + -10. Solve s = 5*c - 5*x + 15, 2*c + 4*x = -2*c + 12 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(1377\/68)*4*(-12)\/(-32)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -46, -62, -76, -88, -98, -106?\nAnswer: -112","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-42)\/56*(-83)\/(-54). Let w = p - -11\/8. Which is the closest to 2\/21? (a) 0.5 (b) 0.2 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-990)\/(-132)*((-80)\/(-125))\/4?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3995532919 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11989?\nAnswer: 19, 631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -l**2*t**3 - 83*l**2*t**2 - 314*l**2*t + 160*l*t**3 + 35*l*t wrt l.\nAnswer: -2*t**3 - 166*t**2 - 628*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y - 30 = 4*d, y = -d + 2 - 9 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 65199362 a multiple of 353?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4 - -1. Let m = 61 - 47. Let s(y) = -20*y**2 + 14. Let j(l) be the second derivative of 7*l**4\/12 - 5*l**2\/2 + 3*l. Determine m*j(p) + o*s(p).\nAnswer: -2*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the first derivative of 0*d**2 - 5\/2*d**4 + 4 + 19*d + 0*d**3. Differentiate w(l) with respect to l.\nAnswer: -30*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2820?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -63 + -15?\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2198.303 nanometers to micrometers.\nAnswer: 2.198303","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -949, -7550, -25385, -60046, -117125, -202214?\n\"Answer: -932*d**3 - 25*d**2 - 2*d + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is j in -j**2 - 28489254*j - 202909398369129 = 0?\nAnswer: -14244627","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 399 and 42.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*z**3 - 200*z**2 + 2500*z.\nAnswer: 4*z*(z - 25)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:45 PM and 5:39 AM?\nAnswer: 414","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22552287 is divided by 2819029.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 16 - (2\/3 + (-40)\/15). Suppose 21*m - h*m = 16140. Suppose m = 3*p - g, -2*p - 5*g = -788 - 2793. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1 (b) 5 (c) -0.3 (d) 3827 (e) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 52850 and 2450?\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 180848830.\nAnswer: 2, 5, 587, 30809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 663882544?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -22253 + 0?\nAnswer: -22253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8.7 - 8.70003256. Round p to six decimal places.\nAnswer: -0.000033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 22*t**5 + t**3 - 26*t + 47*t**5 + 35*t**5 - 13 + 55*t wrt t.\nAnswer: 2080*t**3 + 6*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = 4*f, 5*o + 22 - 4 = 4*f. Let y be 28859994\/6 + f + -1. What is y rounded to the nearest one hundred thousand?\nAnswer: 4800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - (5 - 5)) + 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -21\/19360 and -115\/792?\nAnswer: 174240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33915295.\nAnswer: 5, 101, 239, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -296.8 + 226. Let v = -74.41 - y. Let m = -0.21 - v. What is m rounded to 0 dps?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -5*v**3 - 236*v**2 + 8*v + 9. Let h(u) = 2*u**3 + 118*u**2 - 4*u - 4. Calculate -9*h(w) - 4*l(w).\nAnswer: 2*w**3 - 118*w**2 + 4*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/15, 0.16, -0.01, 6 in descending order.\nAnswer: 6, 0.16, -0.01, -2\/15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -16*a + 12*a - q - 7, 3*a - 5*q + 11 = 0. Put a, 5, -5, -3 in descending order.\nAnswer: 5, a, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3 + -2. Solve -c + 3 = -2*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3253 - 3175. Solve 16*r + 10*r = x for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o**2 - 16*o - 62. What is g(-10)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 3*g = -4*f + 108020, 4*f - 2*g - 107990 = 0. Round f to the nearest ten thousand.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*t - 4072 = 2402. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5e024 - 90?\nAnswer: -5e0b4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-6)\/h**(-1\/6))\/(h**1)**17 assuming h is positive.\nAnswer: h**(-137\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(d\/d**5))\/d**(-9))**(-10)\/((d**(-1)*d)**(1\/35))**(-9\/11) assuming d is positive.\nAnswer: d**(-140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.4, -2\/3, -1\/8, -4, 1\/2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q**2 - 2*q - 1. Let n be d(-3). Let h = -859 - -854. What is the smallest value in n, -3, h, 2\/9?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3843799 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = -3*i - 14. Is i smaller than -13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 2587?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 584 minutes before 1:58 AM?\nAnswer: 4:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - -13) + (45202\/(-194) - -314)?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17) + sqrt(51)\/sqrt(3))*-2*5.\nAnswer: -20*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 136367239 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 728?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2552411 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1902.1 and -0.041.\nAnswer: 1902.059","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4 - -4.1. Let q = -0.3 - d. Is -0.1 greater than or equal to q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 36 and 1206.\nAnswer: 2412","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 82 divide 206?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 152392?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1\/5, 3, 0.3, 1\/118?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (25 + 23 - 16)*(-1 - 1 + 0)*(w + w + 0*w).\nAnswer: -128*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-1\/7)\/(b\/(b*(b\/(b\/(((b**(3\/11)\/b)\/b)\/b*b)))\/b)*b)*b**(3\/7)*b**(1\/2)*b assuming b is positive.\nAnswer: b**(-299\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 14 + 0*w - 14 - 17*w in the form j + l*w and give l.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1729259860?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -p + 5. Let s(a) = -a + 4. Let w(g) = 6*s(g) - 5*y(g). List the prime factors of w(-9).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-15)\/3 + 2 + 8. Suppose q*v - 23 = b, -3*v - 5*b = 3 - 0. Suppose -2*y + v = -y. Solve -r + 0*r - y*j = -17, 0 = 5*r - 2*j - 19 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = m + 5*z, m + 3*z = 7*z - 4. Calculate the highest common factor of m and 24.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*z + 3*z**2 + 6*z + 48 - 48 to g + y*z + b*z**2 and give b.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -24, -53, -80, -87, -56, 31, 192, 445?\nAnswer: 808","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 4*o**2 + 1. Let j(l) = 46*l**2 + 2*l + 106. Calculate -12*f(a) + j(a).\nAnswer: -2*a**2 + 2*a + 94","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0730443 to four dps.\nAnswer: 0.073","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 10039512 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: What is the hundred thousands digit of 149375?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 315*u - 1374212 = 1974868. Calculate the remainder when u is divided by 26.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-60)\/(-12) - (1 + 1). What is the third derivative of -6*v**6 + 198*v**2 - 3*v + v**6 + x*v + 6*v**6 + 50*v**4 wrt v?\nAnswer: 120*v**3 + 1200*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 204483 is divided by 5526.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/((-18)\/(-1))*3*-10\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the first derivative of 2*w**5\/25 - w**4\/2 + 8*w**3\/15 - 26. Suppose u(q) = 0. What is q?\nAnswer: 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*s - 4*s**2 + 2*s)*(-144 - 48 - 220) as l + d*s + p*s**2 and give p.\nAnswer: 1648","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -2*u**2 - u. Let q be f(-2). Let b be -3*((-10)\/q)\/(-1). Solve -6 = -3*n + b*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u**3 - u**2 + u**2)*(2*u + 2*u - 6*u) + 3*u - 2*u**4 - 3*u - 5 + 5 + u**4 - 5*u**3 + 5*u**3 - 2*u**4 + 12.\nAnswer: -5*u**4 + 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2157\/1279 or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*h + 53820 = 9*h. List the prime factors of h.\nAnswer: 2, 3, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/4302 and -53\/17925.\nAnswer: 107550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 142\/24 + 24\/72. Which is greater: 2 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 138 and 69.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (sqrt(13) + (sqrt(351) - sqrt(39))\/sqrt(3) + sqrt(13) + (2*sqrt(117))\/sqrt(9))*6*1 + 2)**2.\nAnswer: 216*sqrt(13) + 16857","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vj when two letters picked without replacement from ddddddddjvdddddd?\nAnswer: 1\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 9963607 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16085 + 16082 - 32185 = -9*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does -34137\/1382 = -26?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 13.9 + -13.9. Sort -2, f, 0.8 in ascending order.\nAnswer: -2, f, 0.8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 2*v**3 - 4*v**2 + 4*v. Let a be b(2). Which is bigger: a or 6?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that 2*z**4 + 638*z**3 - 14924*z**2 + 27280*z = 0.\nAnswer: -341, 0, 2, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -2495*k - 326843. Calculate z(-131).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 555 - 538. Suppose 9*f - t*f - 72 = 0. Put 0, -1, f, 4 in descending order.\nAnswer: 4, 0, -1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nuun when four letters picked without replacement from {u: 6, g: 4, n: 4}?\nAnswer: 15\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -537195 - -537249.9966. Let u = g + -55. Round u to three dps.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 45174457?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-6)\/(-15) + (-74)\/10. Let m = l - -32. Suppose 17*v - 22*v + 500 = 0. What is the highest common divisor of v and m?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2*x + 0*x + 0*x)*(1 - 3 + 1) - 2*x - 6*x + 4*x - 2 + 2 + 3*x)*(-1 + 15 + 25).\nAnswer: -117*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 64, 153, 408, 913, 1752, 3009?\nAnswer: 4768","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 415781936.\nAnswer: 2, 25986371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 1255543?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -2 - x - 4 + 1 - 3. Let j = 238 + -227. Give v(j).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rllr when four letters picked without replacement from {r: 10, l: 4}?\nAnswer: 45\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1154 divided by -12.\nAnswer: -577\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1242\/(-1449))\/(5\/(-7)).\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(28) + sqrt(28) + sqrt(28)*-1*4 - sqrt(28))\/(-1*sqrt(36)))**2 + -1*(1*(0 + sqrt(847)))**2.\nAnswer: -840","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*a - 0*a. Let u be 1*(879\/(-3) - a). Let q = -174 - u. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 890 or 4456?\nAnswer: 890","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 8956 to the power of 1\/3, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/4*23\/805*56)\/((-12)\/(-2760))\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 158 + -157.3. Sort 3, v, 0.02 in ascending order.\nAnswer: 0.02, v, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = 3*a - 4. Let q(l) be the first derivative of l - 3*l**a - 3 + 5 - 1. Determine q(1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c and 2 k when four letters picked without replacement from kdckddkgkkccyk?\nAnswer: 45\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6726, -8896, -11064, -13230, -15394, -17556?\nAnswer: -19716","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.057 minus -0.33?\nAnswer: 1.387","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -13*r + 4. Let u be y(-2). Let n = u + -25. Solve 3*b + n*s = 5*b - 21, -b - s = 7 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((sqrt(153)\/sqrt(144)*2)**2 - (sqrt(17) + sqrt(1700) + 0)**2*-5).\nAnswer: 41153\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.5 and 7061055.\nAnswer: 7061054.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of w*x**2 - 2613*w*x - 4246*x**2 + 6*x wrt x.\nAnswer: 2*w - 8492","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4 (b) -0.6 (c) 5.09\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 10098472 to the power of 1\/8, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -21217898 + 21218645.99061. Let x = 748 - r. Round x to three dps.\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p - 925*h + 923*h = 6, p = -4*h + 2 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -4*g**2 - 17*g. Let s(l) = -l**2 - 6*l. Give -17*s(a) + 6*t(a).\nAnswer: -7*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nk when two letters picked without replacement from {k: 2, n: 2, c: 1}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 93, 1, -4\/7 in ascending order.\nAnswer: -4\/7, 1, 93","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3135 is divided by 20?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -630*m - 644*m - 2*m**2 + 1254*m - 3*m**2 + 2 to the form d*m + y*m**2 + n and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1022 and 98?\nAnswer: 7154","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5747195, 11494388, 17241581, 22988774?\nAnswer: 28735967","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-1132)\/(-1) + 5 - (3 - -2)?\nAnswer: 2, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1997488 a multiple of 524?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 14686?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2966351 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 h when four letters picked without replacement from {r: 2, c: 3, h: 6, y: 1}.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 615440 and 1832?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.327 and -5931.\nAnswer: -1939.437","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f**2 + 10*f - 21. Determine b(9).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 4*x - 290 = 486, 0 = -2*x + 2. Solve z*j - 191*j = 0 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 382 + a - 382. Let x(u) = 3*u. Suppose 2*o + 2 = 12. Determine o*g(f) - 2*x(f).\nAnswer: -f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*b + 0*b + 2*b + (1 - 2*b - 1)*(-4 + 5 + 0) - 3*b - 4*b + 5*b)*((-3 + 4 + 0)*(51 + 4 - 2) + 1 + 5 - 5 + 0 - 1 + 2) to k + r*b and give r.\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*w + 1622 - 4. Let m = w - -442. Let s = -258 - m. Calculate the remainder when s is divided by 37.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c + 7. Let s be d(-3). Suppose 2*h = -s*h + 12. Sort h, -7, 0 in ascending order.\nAnswer: -7, 0, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 188682847.\nAnswer: 17, 101, 109891","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 90 divided by 2?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 2*m**3 - 11*m + 11. Let i(s) = -s**3 + 11*s + 82 - 170 + 82 - 5*s. Give -11*i(l) - 6*z(l).\nAnswer: -l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p - p - 6 = -5*s, -12 = 2*p + 5*s. Let w be ((-9)\/p + -2)*-24. Let h = w + 13. List the prime factors of h.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -60*l = 7*l - 603 for l.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p - 3. Let f(u) = u**2 + 1. Let k be f(-1). Suppose k*g + 0*g - 6 = 0. What is the remainder when g is divided by a(5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 5*m - 7. Let r(s) = 3*s - 4. Let u(g) = g**3 - 5*g**2 + 6*g - 1. Let n be u(4). Calculate n*r(k) - 4*o(k).\nAnswer: k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -2133 (base 8) in base 16?\nAnswer: -45b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3500 is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4669 - -9351. List the prime factors of b.\nAnswer: 2, 2341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 (base 5) in base 12?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1\/137 - -263\/1507. Let n = 103\/3 - 35. Let z(l) = 2*l**2 + 15*l - 9. Let k be z(-8). Which is the closest to n? (a) k (b) -1\/5 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -12c0 - -18?\nAnswer: -12a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -108, -1391, -4918, -11811, -23192, -40183, -63906?\n\"Answer: -187*u**3 + 26*u + 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 2 k when three letters picked without replacement from gcxcckggccckgkggku?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -262*o**3 - 1224*o?\nAnswer: -1572*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = j - 8. Give u(6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f - 122 + 127 = 0, 5*l + f = -56 for l.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -244 (b) 2\/5 (c) -3 (d) 0.6 (e) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3 + 0 + 1 + -2. Find the common denominator of r - 1 - 24\/(-22) and 653\/42 + 12\/42.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1451489 to the power of 1\/3, to the nearest integer?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 26751577 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 69247 is divided by 637?\nAnswer: 451","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -85859, -686818, -2317997, -5494508, -10731463, -18543974, -29447153?\n\"Answer: -85852*c**3 + 2*c**2 - c - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000045847 rounded to 6 dps?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -16, -84, -212, -406, -672, -1016, -1444?\n\"Answer: -k**3 - 24*k**2 + 11*k - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1715700 divided by -817.\nAnswer: -2100","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 4, y: 3, w: 2}. What is prob of picking 3 b?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -w + x - 2*x, -3*w - 2*x = -10. Solve 4 = -2*i - 0*c - w*c, i + 4*c + 17 = 0 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -244\/3151 less than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 887 = -3*n, 4*x = 8*n - 7*n - 893. Let u = x + 396. Suppose -15*f + 13*f = -u. What is the remainder when f is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.0007, -0.13, 2, 3\/17?\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -39 + d**3 + 18 + 16 to w*d**3 + r*d**2 + f*d + h and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1751.8766 + 1782.41. Let v = -27.926 + x. Let w = v - 2.58. Round w to 3 decimal places.\nAnswer: 0.027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(3\/2)\/v)\/v**3*(v*v**(-1\/3))**(2\/11))**38 assuming v is positive.\nAnswer: v**(-2983\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*k - 97 - 92 = 10*k, 5*l + 469*k + 5 = -2*l + 2*l + 464*k for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1334*n**4 + 55*n**3 + 3*n**2 + 67*n - 295?\nAnswer: -32016*n + 330","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 287 - 263. Let n be (-10)\/(-6) + k\/18. Solve -1 = n*l - 10 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 481758973 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -2*s**3 - 26*s**2 - s + 4. Let b be a(-13). Suppose b*u + 37 = 207. Solve u = 3*v - 5 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g*g**(1\/14)*g*g)\/(g\/(g*g\/(g*g**(-9)*g))))\/((((g*g**(-11)\/g*g)\/g)\/g)\/g*(g\/(g**13*g))\/g))**(3\/34) assuming g is positive.\nAnswer: g**(1599\/476)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*z**3 + 4*z**3 + z**3)*(-z + 0*z + 9*z)*(-1 + 1 - z)*(-5 + 2 - 3).\nAnswer: 96*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 3, f: 9}. Give prob of picking 3 f and 1 t.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -571 + 1043. Suppose 0 = 5*a + 3*m - 52, 45 = 4*a + 4*m - 5*m. Calculate the remainder when n is divided by a.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 0 + 132123?\nAnswer: 132123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*w = -38*w + 8. Calculate the remainder when 63 + -1 + 8 + w is divided by 22.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -122 = 9*r - 80 - 321. Solve -r*m + 61*m = -120 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -33*l + 219. Give a(6).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -54322 - -34078. Let y be j\/27 - (-4)\/(-18). Let w = 1143 + y. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5 + 399e65d?\nAnswer: 399e663","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d**3 - 18*d**2 + 3*d + 38. Let h be a(18). Suppose -27*q + h = -23*q. Are 15 and q equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3816, 3813, 3810, 3807, 3804, 3801?\nAnswer: 3798","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6 + -4. Suppose 5*r + 4 + 23 = g, -z*r - 8 = g. Let f be (((-4)\/(-6))\/g)\/1. Is f >= 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 55 divided by 6\nAnswer: 55\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the second derivative of -r**6\/360 + r**5\/60 + r**4\/8 - 5*r**3\/6 - 3*r. Let i(h) be the second derivative of d(h). Factor i(v).\nAnswer: -(v - 3)*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10223029 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*q + 3 = -28*q + 3*m, 0 = 5*m - 5 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1.89 or -14896?\nAnswer: -14896","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = -4, -g = x - 34 - 0. Let h = -8248 + 8253. Calculate the highest common factor of h and g.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*w - 1 - 9. Suppose -98 = w*x - 0*o + 4*o, 5*x - 4*o + 82 = 0. Let c be (48\/x)\/((-2)\/6). Solve 5*l - 7 - c = 0 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 j when two letters picked without replacement from kkyjjbk?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 87904 or 87907?\nAnswer: 87904","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -4 + 5 + (4 - 8)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a year in months?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-23814)\/(-1176) + 14\/(-4))*((-12)\/2 - -2)?\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2355614020 rounded to the nearest 100000?\nAnswer: 2355600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(300)*1 + -3 + sqrt(27) + -1*(sqrt(3) - -1*sqrt(147)))**2*-6.\nAnswer: -504 + 180*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r**3 - r + 8. Let n(u) = -2*u + 1. Let x be n(-2). Let q be y(x). Let f = q + -99. What is the remainder when f is divided by 11?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -250 + 1533. What is the tens digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -113\/200 and -37\/240?\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -5 (b) 0.3 (c) -2\/7195223 (d) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -91370 - 0.01023816\nAnswer: -91370.01023816","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 3b34 (base 12) in base 16?\nAnswer: 1a98","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 67 a factor of 4355?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 3\/5 of a kilometer?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*i + 15 = 33*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2710706916?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in fourty-five halves of a hour?\nAnswer: 81000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3323 = -3*r + 5*m, r - 1127 + 6 = -5*m. Suppose 0 = 5*w - 3*c - r, -3*w - 21*c + 669 = -22*c. What is the tens digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15*o - 15*o + 6 - 4*o**2)*(-1 - 3*o + 1)*(-4 + 5 + 0).\nAnswer: 12*o**3 - 18*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6 - -3. Let g = -6 - l. Let c(d) = -d**3 + d**2 - 5. Let k be c(0). Put k, -4, g in decreasing order.\nAnswer: g, -4, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 16 = 0, -5*p + 32 = 6*l - 2*l. Suppose 0*s = -4*s - 2*g + 66, l = 3*g. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is m in 2*m**5 - 5012*m**4 - 1089068*m**3 + 2303216*m**2 + 23170026*m + 19782756 = 0?\nAnswer: -203, -3, -1, 6, 2707","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = 7*g, -3*g = -t + 506 + 876. What is the remainder when t is divided by 66?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 1834?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 9 = -4*o, -4*g = -5*o - 3*g. Let s(j) = 7*j - 2. Let d be s(o). Let v = 6 - d. Solve v + 8 = 3*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + 0 + 4 - 1.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 8, m: 5}. What is prob of picking 2 t and 1 m?\nAnswer: 70\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -73\/36 and -29\/4092.\nAnswer: 12276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 2, 1123, 88 in descending order.\nAnswer: 1123, 88, 4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Do 16\/563 and 0 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -d**3 + 5*d - 1. Let i be s(-2). Suppose 6*h = l + h - 4, -4*h + 4 = 0. Let x = l + i. Solve 0 = 3*b - 0*t + 3*t, -2*b - x = 5*t for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x**3 - 12*x**2 + 124*x - 1232. What is the least common multiple of 4435 and m(11)?\nAnswer: 48785","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 4*n = 3*g - 24, -2*n - 60 = -2*g. Suppose 5*r - 5*k - 260 = 0, 5*r = -4*k + 7 + 235. Let z = r - g. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 116 + 100 = 3*k. What is the units digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2742 to the power of 1\/3, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2942.02601 + -2942. What is z rounded to three decimal places?\nAnswer: 0.026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = 5*h - 0*h + 37, 0 = h + 2*w + 3. Suppose 17*b + 6*b = 4669. What are the prime factors of (-187)\/(-4) + h + b\/28?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:22 AM and 1:21 PM?\nAnswer: 719","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 129*z - 3088 + 3733. Let j(p) = 7*p + 5. Let k(h) = -6*h - 6. Let a(c) = 5*j(c) + 6*k(c). Let n = 17 - 10. Let i(d) = -d - 16. Give n*a(t) + z*i(t).\nAnswer: -2*t + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 139\/10776 and -107\/108?\nAnswer: 96984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -1. Let u(l) = 6*l - 28. Let y(c) = 3*h(c) - u(c). Suppose 0 = 5*d - 10*d. Is 11 a factor of y(d)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2519462045?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*a**4\/4 + 55*a**3\/2 + 455*a**2\/4 + 255*a\/2 = 0. Calculate a.\nAnswer: -17, -3, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1178*j = -359*j + 755 + 20763 for j.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(343) + (3 + 2 + sqrt(343))**2.\nAnswer: 77*sqrt(7) + 368","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(36)\/sqrt(2) - sqrt(18) - (sqrt(22)\/sqrt(176))**2) + ((sqrt(2) + sqrt(18))*-2 - sqrt(2)) + sqrt(32)\/sqrt(4).\nAnswer: -7*sqrt(2) - 1\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = g, 2*y + 10*g - 52 = 8*g. Calculate the remainder when y is divided by 18.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q**3 - 8*q**2 + 6*q + 3. Suppose 0 = 4*u - 20, 2*g + u = 3 + 30. Let m = g - 7. Determine y(m).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2160 + -3?\nAnswer: 2154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuuxxxxuxuuxuuiuxuz. What is prob of sequence zi?\nAnswer: 1\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = -3*m + 2*m + 664, -670 = -5*z + 5*m. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -246 - -650. Let l = t + -403.9999671. What is l rounded to six decimal places?\nAnswer: 0.000033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*w + w + 5*w)*(-w**2 + 2*w**2 - 2*w**2) + (2 + 2*w - 2)*(-2 + 2 - 3*w**2) + w**2 + w**3 - w**2.\nAnswer: -7*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*i**3*j**3*m + 4*i**3*j**2*m + i**3*j**2 - 2*i**3*m + 320*i**2*j**3*m + 30*i*j**2 wrt j?\nAnswer: 12*i**3*m + 1920*i**2*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100 + 10111110010111100?\nAnswer: 10111110011000000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*i - 31*i - 221 = 0. Solve 3*v = 8*v + b - i, 0 = 3*v + 4*b for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 701 and -300?\nAnswer: -210300","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 157764737 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 104234, 416985, 938240, 1667999, 2606262, 3753029?\n\"Answer: 104252*a**2 - 5*a - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -2\/2425?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.04 + 0. Let v = h - -0.36. Let l = 0.9 - v. What is the third smallest value in l, -1\/6, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 4*m - 105 = 0. Let r = m + 30. Let l(b) = 2*b - 11. Let c be l(r). Calculate the highest common divisor of c and 35.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4193 and 13727283?\nAnswer: 96090981","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 - 1 - (0 + -4 + 71 + 93).\nAnswer: -153","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3088445 and 2495.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j**3 + 6*j**2 - 31*j - 17. Is 15 a factor of s(-9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -14371 + 14372. Which is the nearest to l? (a) 1 (b) -0.053 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -131 (base 5) to base 10.\nAnswer: -41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4)\/26 + 310\/1170. Let w(q) = -q + 7. Let g be w(9). Which is the third biggest value? (a) v (b) g (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38 = -d + 40. What is the greatest common divisor of d and 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -103\/462902328 and -55\/205734368.\nAnswer: 1851609312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*h - 4*p - 28, -5*h - 3*p = -0*h + 32. Let n(j) = j**3 + 4*j**2 - 3*j + 2. What is the remainder when n(h) is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 166491765?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j**3 - 6*j**2 - 2*j + 14. Let g be a(6). Suppose -1 = -g*u + 5. Solve 5*c - u*c = 0 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -2*l**2 - 3*l - 2. Let v be b(2). Let w be 114\/(6\/v*-4). Suppose 2*y = -w + 338. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 11, 45, 103, 191, 315, 481, 695, 963?\n\"Answer: l**3 + 6*l**2 + 9*l - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rtht when four letters picked without replacement from ttethereetertteerrtt.\nAnswer: 28\/14535","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 0*r - 2*r + 2 - 6 + 1. Let g be p(-4). Solve -33 = g*x + 4*o, -16 = -2*x + 4*x + 3*o for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -25 - -41. Let r be w\/(-32)*(-1 - -1). Sort r, -2, 4.\nAnswer: -2, r, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2553 = -5*y - k, -5*y = -8*y - 3*k + 1527. Let v = y - -556. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - -111 - (-304 + 377).\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n - 11 = 4*s + 15, -s + 5 = -5*n for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 525355 + -15?\nAnswer: 525340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 85651 a multiple of 97?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 10*j**3 + 7*j + 29. Let o(s) = 3*s**3 + 2*s + 10. What is 2*b(u) - 7*o(u)?\nAnswer: -u**3 - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 112687 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 35\/10*-2 + 657\/(-73)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*j - 1224316 = -31*j - 376841. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 158\/33 - 4475\/528. Let h be 10*((-52)\/20 - (0 + -3)). Find the common denominator of 4 + ((-37)\/h - -2) and u.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/4 + 606\/12. What is the highest common factor of 34 and v?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 153, -6, 6, 1, -3, -4, 4 in ascending order.\nAnswer: -6, -4, -3, 1, 4, 6, 153","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 2*k**2 + 97*k + 81. Give d(-1).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ykkmnkyynknnkkmkkykx. Give prob of picking 1 x, 1 y, 1 n, and 1 k.\nAnswer: 48\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -294 divided by -49?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1052 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -274*v + 16. Let o be y(-1). Suppose -16*b + o = -142. Does 14 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p, 1 g, and 2 z when four letters picked without replacement from {g: 8, p: 2, z: 4}?\nAnswer: 96\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Add -59 and 127.\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 7*f - 1. Let r(s) = -6*s + 2. Let g(x) = 6*r(x) + 5*t(x). What is g(5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35709086.9 rounded to the nearest one hundred thousand?\nAnswer: 35700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 132142 to the power of 1\/2, to the nearest integer?\nAnswer: 364","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 943779502?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -143 + 147. What is the greatest common divisor of 144 and v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.437812 centuries to decades.\nAnswer: 4.37812","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6 + -9. Let y = 0 - w. Let l be (-16)\/(-10)*(3 - -7). Solve y*i - q + 5*q + l = 0, q - 11 = 3*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 1108*l - 27467. Give w(25).\nAnswer: 233","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -2*w + 5*s, -2*w = -w - 3*s + 10. Suppose -i = -0*i + 2, -3*i - 18 = -4*d. Suppose -w*o + 3 = -d. What are the prime factors of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -17662 - -1059653\/60. Calculate the common denominator of v and -23\/9.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(-9))\/((-6)\/(-9))\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*b - 27*b + 65 = 0. Suppose -4*d + 3*o + 56 = 0, 4*o + 77 = b*d + 2*o. Which is smaller: -5 or d?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -691 + 691.1. What is the nearest to v in -8, 0.5, 0.04?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3 + -121113?\nAnswer: -121110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.23, 1\/3, 36, 3, -1 in decreasing order.\nAnswer: 36, 3, 1\/3, -0.23, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n**3 - 6*n**2 - 8*n - 4. Suppose 2*v - 5 = 11. Let p be t(v). Let k = 23 - 8. Calculate the greatest common divisor of k and p.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-1)\/(-2))\/(3 + 58\/(-20)). Suppose 3*w - 4*y + 14 = 0, -t*y = 4*w - y. Put w, 4, 5 in increasing order.\nAnswer: w, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 300632?\nAnswer: 2, 37579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 676?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 (base 11) in base 5?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 76540.\nAnswer: 2, 5, 43, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 274008333 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-4 - -5)*69*(-40)\/(-15) is divided by 92.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 97\/23220 and 127\/270.\nAnswer: 23220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -38114 divided by 86.\nAnswer: -19057\/43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 51 a factor of 7191?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 2694?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9042 - 9042 + 19*i.\nAnswer: 19*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o**3 - 6*o**2 - 6*o - 1. Let q be h(-5). Let x = q + -3. Let a = 3 - x. List the prime factors of a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 48 = 18. Let h = l - -6. Find i, given that h + 1\/4*i**3 + 0*i + 0*i**2 = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 240*y - 654. What is the remainder when 6269 is divided by i(3)?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/(4\/210) + 3 a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 10820197 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0002109312 to five decimal places.\nAnswer: 0.00021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g**2 - 3*g + 7. Let p be j(0). Find the third derivative of -p*f**4 - f**4 + 4*f**4 - 15*f**2 - 4*f**4 wrt f.\nAnswer: -192*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 4*s + 7 + s**2 + 0 - 5*s. What are the prime factors of l(5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -2*s**2 + 318*s - 274. Calculate h(151).\nAnswer: 2142","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5 - 37. Let w = -43 - f. Which is the biggest value? (a) w (b) 0.13 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 2*u**2 - 3 + 93*u.\nAnswer: -2*u**2 + 93*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -229*a**2 + 2. Let l(t) = 3*t**2 + 46*t. Give l(m(f)).\nAnswer: 157323*f**4 - 13282*f**2 + 104","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 2*i - 1. Suppose 5*n + 5 = 5*t, 6 - 18 = -2*t + 4*n. Let q be (-160)\/(-25) - t\/(-10). Is a(q) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -24 + 24.3. What is the closest to -0.1 in o, 2, -1?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/11, -5, -1\/4, -11 in decreasing order.\nAnswer: -2\/11, -1\/4, -5, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = -0*g - 9. Suppose -4*i + 2*b + 30 = 0, 0 = -2*i + 4*b + 9 + g. Let d(c) = -c - 5 + 3*c + 0*c. Let z(u) = u - 3. Give i*z(a) - 5*d(a).\nAnswer: -2*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 216\/102 + 2\/(-17). Suppose -4*w + 4*u = 6 - 22, -n*u = 4*w - 10. Calculate the remainder when 42 is divided by 81\/6 - w\/2.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*m = 7*m + 4*d + 35, -3*d - 35 = -4*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rm when two letters picked without replacement from mrkmrarmmm?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -48764968878 + 0.3.\nAnswer: -48764968877.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000271 to five decimal places.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 27 + 12 + (-31 - -13) + -25?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:13 PM and 1:21 AM?\nAnswer: 488","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*s - 1 + 1)*(-2*s - 6893*s**3 + 328*s**3 + 670*s**3).\nAnswer: -11790*s**4 - 4*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t**3 + 2*t**2 - 47. Is c(-26) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 296 is divided by 151?\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 34 - 19. List the prime factors of p.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.2 (b) 3 (c) -0.22 (d) -0.02 (e) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o**3 - 5*o**2 + 1. Let m = 0 + -5. Let x be p(m). Let z = -3 + 8. Which is the closest to x? (a) z (b) 0.1 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 125347819 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 16929, -2, 2\/3, -16 in increasing order.\nAnswer: -16, -5, -2, 2\/3, 16929","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1292 + -1298. Let o(w) = w**2 - 2*w - 8. What is o(r)?\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 542 is divided by 254?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 553*m**2. Let s(w) = 2*w. Calculate c(s(f)).\nAnswer: 2212*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 115*z - 73 - 732 for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.7833925 rounded to 2 dps?\nAnswer: -1.78","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00010713802 to 7 dps.\nAnswer: 0.0001071","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.22 - -0.08. Let r = 0.12 - 0.22. What is the closest to r in 1, 2\/23, d?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 72443?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - (14 + -36 + -5)) + -1 + 0?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2.1 - -0.1. Suppose -h - 16 = 5*g, 14 + 2 = 4*h. What is the third smallest value in k, 0.3, g?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/4 != -6.7685?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the third derivative of -23*o**5\/60 - 4*o**2 + 3. Let x be (-8)\/(-5) - 4\/(-10). Let c(m) = x + 0*m - 2 + 2*m. Give c(t(f)).\nAnswer: -46*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7911.3 + 7911.30063338. Round i to 5 decimal places.\nAnswer: 0.00063","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -321*c = -547*c - 627*c - 30708 for c.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-20)\/12 + 1\/(-3). Let i(o) = -o**2 - o + 2. Let k be i(r). Suppose k = -7*j + 2*j - x + 36, -5*j - 3*x = -38. List the prime factors of j.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 219, 166, -237, -1164, -2789?\nAnswer: -5286","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (14 - (0 + 14)) + 0. Sort -4, 4, -15, k in increasing order.\nAnswer: -15, -4, k, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*i - 157*i - 36*i + (2 - 2 + i)*(2 - 5 + 0))*(2 + 2 - 3) in the form r*i + s and give r.\nAnswer: -192","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-2 + 1 - 2)*(-l - 3 + 3) - l + 4*l - 2*l - l + 3*l - l)*(-52 + 452 + 277) in the form n*l + s and give n.\nAnswer: 3385","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 106 - 103. Solve -p + m*r = -3*p - 7, -4*p + r + 21 = 0 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that 177*p**5 - 365860*p**4 + 367572*p**3 + 363794*p**2 - 367749*p + 2066 = 0.\nAnswer: -1, 1\/177, 1, 2066","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1520 and 95?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 316665 = 3*h + v + v, 5*h + 4*v - 527777 = 0. Suppose 3*z + h = 20*z. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n**2 + 17*n + 25. Let l be u(-15). Let s be (-1)\/(((-3)\/5)\/3). Put s, 3, l in descending order.\nAnswer: s, 3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 207550919.\nAnswer: 23, 47, 191999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nfsw when four letters picked without replacement from {w: 4, o: 1, n: 1, s: 1, f: 1}.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 43\/2 of a microgram in nanograms?\nAnswer: 21500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 451 and 12012.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -348 - -598. List the prime factors of r.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 34466, 68929, 103392, 137855?\n\"Answer: 34463*g + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -7595524, -7595529, -7595536, -7595545, -7595556?\n\"Answer: -x**2 - 2*x - 7595521","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 33, 55, 105, 189, 313, 483, 705, 985?\n\"Answer: i**3 + 8*i**2 - 9*i + 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3 + 1. Suppose 3*w = -3*z + 4*z + 37, 4*z = d*w - 36. Is 7 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 46782.\nAnswer: 2, 3, 23, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -757612 + -2?\nAnswer: -757614","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 227 less than -61.8?\nAnswer: -288.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 543 - 537. Suppose 5*a - w = 3*a. Let c(z) = -5*z**2 + 3*z + 1. Give c(a).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40 - 42 + 82 + 30*i**2.\nAnswer: 30*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 4*l**2 + l. Let d be c(1). Suppose d*z - i = 173, -4*z + 0*i = -2*i - 136. Let a = z + -71\/2. Put -21, a, -4 in ascending order.\nAnswer: -21, -4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v + 9. Let f be a(-6). Suppose 83 = 2*d + f. What is the tens digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the first derivative of -n**4 + n**3\/3 - n**2 - 2*n - 211. Calculate x(-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, 3, -0.3, 4 in ascending order.\nAnswer: -10, -0.3, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8 + -5. Let y be m + 0\/(-2) - -2. Suppose f = 5, 83*u + f = 88*u - 20. Solve -u = -y*q + 5 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 5*y. Let i(n) = n. Let a be 2 + (3 - -6)\/(-3). Let g be 6\/3 - 0\/a. Calculate g*l(j) - 9*i(j).\nAnswer: j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.41? (a) -1207 (b) -0.3 (c) -38\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = 2*z - 21. Suppose -26*c = -z*c - 10. Suppose -c*b + 5 = -13. Does 5 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2447 is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27 - 205*f**2 - 209*f**2 + 434*f**2 - 266.\nAnswer: 20*f**2 - 239","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 73\/3 - 50\/(-75). Suppose -5*l - 1 = -41. Solve k = 5*d + i, 4*d - l = 2*k - 28 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*l**2 - 50*l + 9*l + 2*l**2 - 16*l**2 + 92 - 92 + (0 + 1 + 1)*(-2 + l**2 + 1 + 0*l**2) + 0*l**2 + 2*l**2 + 0*l**2.\nAnswer: -14*l**2 - 41*l - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 5033 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 156 divide 441792?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -398 (base 12) in base 7?\nAnswer: -1412","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*b - 164 - 401. What is the tens digit of b\/1 - -2 - (8 + -7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -17\/110116?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 3*t - 43. Let w(f) = -2*f + 29. Let k(j) = -5*a(j) - 7*w(j). Let z be 0 + -19 + -2 + (6 - 1). Let s = -11 - z. What is k(s)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4644, 4992, 5580, 6414, 7500, 8844, 10452?\nAnswer: 12330","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -551*o + 21 + 1605*o + 5 + 22 - 30.\nAnswer: 1054*o + 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the first derivative of 3*n**4\/4 - 2*n**3\/3 + n**2 - n - 3. Let u be x(1). Let m = 1.09 + -1.19. What is the second biggest value in u, m, -1\/2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p + 4*i + 36 = 0, -67 = -2*p + i - 53 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4998439.\nAnswer: 4998439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5095032.\nAnswer: 2, 3, 212293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3 - -2b?\nAnswer: 2e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6 in -5716, 2, -1\/8, -0.02?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 93 - 53. List the prime factors of v.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = o + 48. Let q(t) = -6*t - 13 + 3 + 10*t**2 - 6. Let u(m) = 17*m**2 - m - 14*m**2 - m + 9 - 14. Calculate o*u(c) + 5*q(c).\nAnswer: 2*c**2 + 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 7*d**2 + 4*d + 3. Let w(s) = -10*s - 75. Let y be w(-8). Suppose -y*i - 5 = 5*v - 20, 0 = 3*v - 4*i + 19. Let t be k(v). Is t smaller than 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6539*x**4 - 2*x**3 + 38836*x**2.\nAnswer: 156936*x - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(3)*1 + 2 + (sqrt(15)\/sqrt(45) - sqrt(3))*-3)**2.\nAnswer: 20*sqrt(3) + 79","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 872 is divided by 89.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 8*d**2 - 6*d + 5. Give p(2).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1 + 3\/9)\/((-24)\/36). Let i(l) = -6*l**2 + 2*l + 2. Let v(g) = 60*g**2 - 21*g - 21. Let w(a) = 21*i(a) + 2*v(a). Determine w(b).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 394 is divided by 19?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the second derivative of -j**4\/12 + 5*j**3\/6 + 3*j**2\/2 - 2*j. Calculate y(5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -124 = -14*x + 100*b + 97*b - 199*b, 253 = 28*x - b for x.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w**(1\/2)*w*w\/((w*w**(-3))\/w))\/(w**(-2\/5)*w*w\/w**(1\/3)))**(41\/5) assuming w is positive.\nAnswer: w**(6437\/150)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 + 2*d)*(42772*d - 42772*d + 31*d**4 + 4).\nAnswer: 62*d**5 + 8*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -60 + 178\/3. Let k = -0.231 + -0.069. Let j = 0.7 + -3.7. Which is the closest to x? (a) k (b) j (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 2*c**3 + 6*c**2 - 7*c + 6. Let h be t(-4). What is the smallest common multiple of 3 and 1 - (h + (0 - 3))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 50 + (-14 - (-13 - -87)).\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -156*v**3 + 327*v wrt v.\nAnswer: -936*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:04 AM and 10:55 AM?\nAnswer: 111","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eau when three letters picked without replacement from uqaqewkwa?\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: ((-336)\/28)\/24*4*-1\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 42805268 = a - 2*h, -a - 8561058 = 4*h. Let n = -1761054 - a. Round n to the nearest one million.\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0 - 0.4. Suppose 4*z + 24 = -4*f, -3*f - 3*z = 2*f + 38. Let w be (f\/15)\/(7\/(-3)). Which is the closest to -1? (a) 0 (b) t (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-27)\/u**(2\/41)*(u\/u**(-20))**(-15\/4))**(-1\/40) assuming u is positive.\nAnswer: u**(17351\/6560)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is nineteen quarters of a litre in millilitres?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = 4*f - 11475, -2*f + 5748 = -13*n + 15*n. What are the prime factors of f?\nAnswer: 3, 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 122*f**3 - 855*f**2 + 17*f - 4. Give i(7).\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -199\/210 and -11\/2.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 2, -4, -269, -32, 23, 5 in decreasing order.\nAnswer: 23, 5, 3, 2, -4, -32, -269","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -25\/145779 and 8\/48593.\nAnswer: 145779","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 249 and 5312?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 29 - (3 + -7 + 2). Let b = -27 + v. Suppose b*r + 3*p - 8 = 0, -2*p = -4*r + 8*r - 12. Calculate the highest common divisor of r and 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/(-2) + 0 + 2. Suppose 4753 = 18*c - 2375. Let h = n + c. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 12\/(-9) + 182\/42. Solve 7*h = b*h + 8 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 60872?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence muzz when four letters picked without replacement from {u: 2, m: 1, i: 1, z: 2}.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1, -1, 274.3, -0.05, 3, -3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 37979\/11165 + -173\/55. What is the common denominator of 23\/10 and s?\nAnswer: 2030","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence slsy when four letters picked without replacement from gysyysgrlyg?\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 50642, 202672, 456046, 810764?\nAnswer: 1266826","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 847480?\nAnswer: 2, 5, 21187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0\/(-1))\/(7*(-42)\/147).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2 and 10683?\nAnswer: 21366","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 5 = 3*w. Let v(d) = d**2 + d. Let l be v(w). Suppose -5*o + 207 - 22 = l. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-1\/5)\/v)\/v**(-7)*v**(-11\/5)*v*v**(-1\/3) assuming v is positive.\nAnswer: v**(64\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -432513 - -299731574\/693. What is the common denominator of x and -4\/121?\nAnswer: 7623","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n + 851 = -5*m + 1654 - 852, 0 = 3*m + 4*n + 25 for m.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 670 is divided by 664?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5352?\nAnswer: 2, 3, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -19.8 + 22.21. Let f = v - -22.59. Put f, 0, 1\/2, -1\/5 in ascending order.\nAnswer: -1\/5, 0, 1\/2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -5*q. Let d(f) = 348*f + 35. What is d(a(v))?\nAnswer: -1740*v + 35","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 24*z**2 + 134*z + 910. What is the least common multiple of 8 and r(-6)?\nAnswer: 3880","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 373 minutes before 6:16 PM?\nAnswer: 12:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1 + (-14 + -1)\/(-1). Suppose -2*b + 37 = -0*b - f, -b + 2*f + 26 = 0. Let u = v - b. Put -3, u, 8 in decreasing order.\nAnswer: 8, u, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -29*v. Let g(z) = 311*z + 1. Determine m(g(b)).\nAnswer: -9019*b - 29","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -3*h**3 - 7*h - 7. Let w(q) = 2*q**3 + 6*q + 6. Calculate -6*l(g) - 7*w(g).\nAnswer: 4*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:17 PM and 8:40 PM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m**3 + 11*m**2 - 15*m - 15. Let d be r(9). Which is the second biggest value? (a) -3 (b) d (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 38, 143, 316, 557?\n\"Answer: 34*q**2 + 3*q + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 14008164 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 17 in -4, -5, -1\/4, -10.1572?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -a**3 - 5*a**2 - 5*a - 3. Let f be g(-3). Let h = -4 - f. Suppose 3*i - 13 = 2*i + h*q, -q - 4 = 0. What is the remainder when 17 is divided by i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*(-6188)\/(6552\/(-72)).\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*g**2 - g**3 - 3*g**2 + g**3 + g**3 - g**3 + (5 - 2*g**2 - 5)*(-g - 2*g + 2*g) + 5*g**3 - 4*g**3 - 3*g**2 + g**3.\nAnswer: 4*g**3 - 3*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 12418633 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by 8845\nAnswer: 4\/8845","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**2\/7 - 4322*u + 31262316\/7.\nAnswer: -2*(u - 971)*(u + 16098)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 41.0741 + 0.0259. Let n = 44 - j. Let w = n + -2.4. What is the nearest to -2 in 2, -5, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -1, -27483, -2, 1, 5 in decreasing order.\nAnswer: 5, 3, 1, -1, -2, -27483","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 107\/5 + (-2)\/5. Suppose -10*m + 4*m - 36 = 0. Let z be 0 + (-6)\/m*5. Solve 5*t - p + c = 0, -2*t + 13 = -4*t + z*p for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3260 is divided by 83?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.0426 (b) -42\/19 (c) 34\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:12 AM and 9:48 AM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2917 - 26252\/9. Let b(g) be the third derivative of 7\/540*g**6 - 8\/27*g**3 + 0 + 0*g - 2*g**2 - o*g**5 + 1\/3*g**4. Suppose b(a) = 0. What is a?\nAnswer: 2\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 222 - 155. Calculate the remainder when p is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (315\/(-2016))\/((-60)\/(-48)).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -868659038*k**2 + 868659038*k**2 - k**3.\nAnswer: -k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a centimeter in micrometers?\nAnswer: 1000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*a + 38 - 36 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g - 23. Let t be y(-25). Solve -t*n = -2*z + 18, -z - 8 = 4*n + 3 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the first derivative of -i**3\/3 + 2*i**2 + 5*i - 3. Let t be v(5). Let p(j) = j - 5. Let h be p(6). Solve -h = -t*l + l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -8 + 12. Suppose 11 = q - v*f, -2 = 2*q - 2*f - 0. Which is the second smallest value? (a) -2\/3 (b) -4 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -22*k + 5704. Let z be l(96). Solve -i - 3591 + z = 0 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m, 1 n, and 1 l when three letters picked without replacement from {n: 3, s: 4, f: 2, m: 1, l: 1, g: 1}?\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 188424992?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -30? (a) 1271 (b) -1\/165 (c) 1\/14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 35 = l + 4*c, 0 = -l - 2*c + 9. List the prime factors of l.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 58*a**2 - 125*a - 375. Let n be x(-3). What is the highest common divisor of n and 18966?\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -19, -0.4289, -20, 0.2, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 3*h = 30, -5*p - h + 0*h = -38. Suppose -2*m + p = 2*m. Suppose 3*d - 3*w = 108, 1 = m*w - 1. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 211271 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1 - -1 - -1)*(-1 - -2). Suppose 0 = -4*b + 5*g - 23, 0 = x*b - 4*b + 5*g - 17. Does 15 divide (-2608)\/(-72) - -1*b\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4 + -2. Let h(x) = -j*x + 5 - 5. Let b(t) be the first derivative of t**2\/2 - 3. Give b(h(a)).\nAnswer: -2*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3 - -112313222302?\nAnswer: 112313222311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*i - 57344 = -0*i - 0*i. What is the greatest common factor of 64 and i?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7*f**2 + 5*f**4 + 8*f**4 + 4*f**3 + 24 - 27 wrt f?\nAnswer: 312*f + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3449 and -19569.\nAnswer: 67493481","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 277*k + 343*k + 443*k - 532*k.\nAnswer: 531*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/((n\/n**0)\/n)*n)**(20\/9)\/(n\/(n*(n**0\/n)\/n*n))**(-38))\/((n\/(n\/(n*n**(-4\/5))*n))\/n**(1\/3))**41 assuming n is positive.\nAnswer: n**(4001\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -36 + -12?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 7*w + 31. Determine v(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in -2\/13, 0, -475\/7, 24, -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -14698584 take away -37232238?\nAnswer: 22533654","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 60 and 25*-8*(-4)\/8.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 82 (base 9) to base 3\nAnswer: 2202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (84\/8)\/(16\/(-74)). Let v = -145331\/2992 - z. Let a = v - 368\/561. Is -1 at most as big as a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 21 - 37. What is the tens digit of (d\/(-5))\/((-5)\/(-25))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -190 + 214. Is 4 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1481\/19 - 78. Let r = -401 + 400. Which is smaller: r or o?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 384\/32*80\/(-120)*9\/4.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -15*((-40)\/(-18))\/((-12)\/(-18)). Let t = 1398 + w. What are the prime factors of t?\nAnswer: 2, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 1\/14 (b) -6 (c) -161060\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(2) + 1 - (sqrt(18) + -1)**2) + 4 - (3 + (sqrt(128) - (sqrt(128)*1)**2) + -3).\nAnswer: -sqrt(2) + 110","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -327*d + 1107 = 844*d - 103*d - 7437 for d.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2 (b) 4\/7 (c) -3 (d) -0.05 (e) 0.06 (f) -1\/7\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v**3 + v**2 + v + 5. Let b be h(0). Suppose 2*u = b*u - 9. Solve -u*d = d + 12 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4)\/(-18) - 33\/27. Let d be (-24 + 19)*(x - 3\/(-5)). Differentiate -b**2 - 8 + 2*b**d - 14*b**2 - 14 wrt b.\nAnswer: -26*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-414)\/(-324)*3\/(-2). Let s = -9\/4 - o. What is the smallest value in 5, 0.4, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3603?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2*j + 0)*(-2*j**3 + 16*j**3 + 2*j**3).\nAnswer: -32*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -800 + 47?\nAnswer: -753","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 12927573 to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 123.1 - -5.9. Let b = l - 129.000000316. Round b to 7 dps.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1 + -5 + 2 + 282\/6. Let n(z) = 57*z**2 + 1. Let y be n(1). Suppose 4*s - 14 - y = 0. What is the greatest common factor of s and u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -308 - -1539\/5. What is the closest to -1 in v, 0, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3134301mg in nanograms?\nAnswer: 313430.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that -2*z**5\/15 + 4*z**4\/5 - 26*z**3\/15 + 8*z**2\/5 - 8*z\/15 = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 808 - 727. Suppose -4*v - 4*l = -612, 2*l + l = 4*v - 640. Let o = v - m. What is the units digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 95 and 15?\nAnswer: 285","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that 3*q**3\/7 - 3771*q**2\/7 + 37437*q\/7 - 33669\/7 = 0.\nAnswer: 1, 9, 1247","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -0.0329*0.845\nAnswer: -0.0278005","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 104*p - 3.\nAnswer: -104*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 2386.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.003074263 to 3 decimal places.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1295*v - 1587*v - 680 - 196 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q and 1 n when three letters picked without replacement from {q: 6, n: 7}.\nAnswer: 105\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 664 + 3*l**3 + 10293*l**2 + l - 10293*l**2.\nAnswer: 3*l**3 + l + 664","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1291049 divided by 6?\nAnswer: 1291049\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1001001110 (base 2) in base 8?\nAnswer: 1116","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -26 - ((-16)\/(-2))\/(-27*(-12)\/(-162))?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 75 - 81. Find the common denominator of 83\/4 and 1 - (u\/(-4) + (-6)\/27).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 3*v = 167, -5*k - 5*v + 2 + 203 = 0. Suppose 0 = n - 3*t - k, -t - 19 = -2*n + 74. What are the prime factors of n?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/7? (a) -0.3 (b) -2\/5 (c) 0 (d) 1 (e) 2\/1585\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(1\/4)\/(t**(5\/6)*t*t))**23*(t\/(t\/(t*t**5\/t)*t))\/t**(-2)*t**(5\/4)\/t**(5\/3) assuming t is positive.\nAnswer: t**(-323\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3c61a9 (base 14) to base 16.\nAnswer: -1fe909","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5 + 16. What is the remainder when 61 is divided by b?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (s - 2*s + 2*s)*(843 - s - 844 + 55*s) as u*s**2 + l + j*s and give u.\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -9*g**2 - 9*g + 5. Let p(r) = 4*r**2 + 5*r - 2. Let d(h) = 3*b(h) + 7*p(h). Give d(-6).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 9, w: 3}. Give prob of sequence aaa.\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -2*v**3 + 4*v**2 + 2*v + 2. Let l(q) = -3*q**2 + 3*q**2 + q**2 + q. Suppose 0*h + 4 = -2*h. Let c be -5 + (-4)\/h + 1. Determine c*l(t) + u(t).\nAnswer: -2*t**3 + 2*t**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kmmm when four letters picked without replacement from kkmkkmmkkmmk?\nAnswer: 7\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -2*j + 4. Let k be l(0). Solve 0 = k*w - t - 18, -t - 4*t = 4*w - 6 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 - 1)*(-6 - 2 + 1)*(107*b**2 - 50*b**2 + 90*b**2).\nAnswer: 2058*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-4 + sqrt(3) + -3)*2.\nAnswer: -56 + 8*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43*g = -114*g + 55*g + 2016. Calculate the smallest common multiple of 909 and g.\nAnswer: 12726","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 21 - 56. Let y = -35 - o. Solve y = -d - 5 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2838?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1839322142?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 42640 and 1.3312?\nAnswer: 56762.368","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -163\/1794 and -173\/1716.\nAnswer: 39468","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 82 + -25 - (0 + -4 - -14) - (-1 - -5)?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + 2 + -4 - (-2 - -2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 443060 is divided by 113.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/7, -0.6, 3, -6?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12 + 1000000220020?\nAnswer: 1000000220001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*-6*((sqrt(208) + -1)**2*-6 + sqrt(208) + 0).\nAnswer: -7524 + 312*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -83.1 from -4503460942.\nAnswer: -4503460858.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 65592952 and 362?\nAnswer: 362","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is d + 95c?\nAnswer: 969","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 3542.9 minus 340383.1?\nAnswer: -336840.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*l + 23 - 23 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v**2 + 7*v + 7. Calculate the remainder when n(-8) is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 49\/57?\nAnswer: 49\/57","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -5, 450, -14, -1\/2, 1?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (160\/12)\/(2 - (-5)\/(-3)). Is 41 less than or equal to g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5 - 1a95?\nAnswer: -1a90","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 13*l**3 + 25*l**2 - 49*l**2 + 4*l + 0*l**3 + 25*l**2 + 7. Is w(3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f**2 + 6*f - 7. Suppose -25 = -2*j - 3*j. Let z(b) = -b**2 - 5*b + 6. Give j*z(a) + 4*h(a).\nAnswer: -a**2 - a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:27 PM and 9:11 AM?\nAnswer: 584","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k**3 + k**2 + 12. Let q be t(0). Suppose l = 19 + 113. What is the greatest common factor of l and q?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9, -147, -577, -1419, -2811?\nAnswer: -4891","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -3*p, 5*r - r = 4*p - 112. Which is the second smallest value? (a) r (b) 1 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -920000 rounded to the nearest 1000000?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-6)\/(-3)*((-26)\/(-4) - 4). Solve 0*r + 4 = r - l*y, 2 = -2*y for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-328)\/(-1476)*(-9)\/(-11). Suppose -5 + 2 = -g. Let b = 305\/202 - 1\/101. What is the smallest value in g, -0.2, b, m?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -17*k - 317. Let y(i) = 4*i + 79. Calculate 2*o(t) + 9*y(t).\nAnswer: 2*t + 77","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 2 = -4. Solve 0 = -5*z + 4*o + 17, -5 = -h*z - o + 7 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bpp when three letters picked without replacement from bpppb?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-143*a**4 - 108*a**4 - 115*a**4)*(-1 + 4 - 5) to the form w*a**4 + p*a**3 + j + z*a + f*a**2 and give w.\nAnswer: 732","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3 + -523*(-1)\/(-1). Let x = 1546\/3 + q. Let j = x - -49\/6. Which is greater: j or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5664)\/(-354000)*(-25)\/(-7)?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-123)\/(-820))\/((-1)\/(-4))?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11.83 - 11.93. Let t = -0.02 + 0.42. Put -4, r, 2, t in descending order.\nAnswer: 2, t, r, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -5472705?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -6 - 4*b + 3*b + 1. Let x be f(-7). Let y = -8 - -10. Solve 0 = x*z + 4*s + 14, 26 + y = z - 5*s for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 3, u: 2, e: 6, t: 2}. Give prob of sequence tteu.\nAnswer: 1\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -7\/1426 or -2?\nAnswer: -7\/1426","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**28\/(o*o**(6\/17)))\/(o**0)**(-4) assuming o is positive.\nAnswer: o**(453\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 30*m. Let u be 2 + 3\/9*9. Suppose 2*c = u*a - 0*c - 12, -5 = -2*a + c. Let k(w) = -16*w**a + 8*w**2 + 6*w**2. Calculate y(k(x)).\nAnswer: -60*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-147378)\/377)\/(-22) + -18.\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 - 0 - (-124 - -141 - (-9 + -5))?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4 - 3.4. Let h = 1.6 - m. Let t = 4 - 11\/2. Which is the second smallest value? (a) t (b) h (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*s = 141 - 21. Calculate the highest common factor of 408 and s.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1895*f - 6*f**4 - 1893*f - 3*f**4)*(-4 + 6 - 3).\nAnswer: 9*f**4 - 2*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1632?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 4*u + 5*q, 0 = -0*q - 5*q - 20. Suppose 2*s - 2*f = -3 + 11, -u = -s + 3*f. List the prime factors of -1*(-1 + s)*-293.\nAnswer: 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxyxyxyyxaxyx. Give prob of sequence axxx.\nAnswer: 7\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 3*a - 17. Let t(y) = 2*y - 8. Let i be t(6). Let s(g) be the third derivative of g**4\/24 - g**3 - 27*g**2. What is i*b(v) - 11*s(v)?\nAnswer: v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3943*a + 14877.\nAnswer: -3943","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*m + 33*m - 3588 = 14*m. Which is the nearest to 1? (a) -4 (b) m (c) -0.2 (d) -14\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the first derivative of 0*j**2 - 7\/3*j**3 + 0*j**4 + 0*j**5 + 0*j - 1\/3*j**6 - 6. Find the third derivative of g(q) wrt q.\nAnswer: -120*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 50106 - (-2 + 2)\/4. Let i = 234588 - s. Let m be 4\/10 + i\/45. Round m to the nearest one thousand.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f**2 - 486*f - 2911. Let r be i(-6). Solve -39 = -10*j + r for j.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -21*j**2 - 18*j**2 + 6598 - 2*j**3 - 1555 + 37*j**2 - 197*j wrt j.\nAnswer: -6*j**2 - 4*j - 197","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve l - 9 = -47 + 18 + 27 for l.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 437607096, 875214193, 1312821290, 1750428387, 2188035484, 2625642581?\nAnswer: 3063249678","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -219\/5*s**2 + 16*s**4 - 616\/5*s**3 - 32\/5 + 44*s = 0. Calculate s.\nAnswer: -4\/5, 1\/4, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 4*w - 2. Let r be a(4). Suppose -3*t + 2 = r. Let c be (t\/10)\/(-1 - -3). What is the third biggest value in -2\/9, c, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(10) - (4*sqrt(1210) + sqrt(1210)))\/(sqrt(1500)\/sqrt(12) - sqrt(5)))**2.\nAnswer: 729\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 120 - 3031333?\nAnswer: -3031213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 3*k = 3, -12 = 3*k + k. Let d(p) = 4 - p**2 - b + 4*p + 0*p**2. List the prime factors of d(3).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -37\/374 and -103\/22.\nAnswer: 374","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 5*s + 25. Let z = s + 4. Is z greater than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10524928?\nAnswer: 2, 41113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 432302 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -116\/21 - -34\/7. Suppose -5*w = j - 15, -j - 5 = 4*w - 9*w. Let q = 2682 + -2682.3. What is the closest to 1 in q, w, v?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 35 = 0, -12*i - 4*x + 81628 = -7*i. Calculate the greatest common divisor of 32 and i.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 203 minutes before 8:08 AM?\nAnswer: 4:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -0.172, 0, -1072 in increasing order.\nAnswer: -1072, -0.172, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 3*f**3 + 5*f**2 - 5*f - 6. Let g(s) = 100*s**2 + 5 - 2*s**3 + 1850*s**2 + 4*s - 1954*s**2. Let w be 4 - (1 - 2) - 1. What is w*x(u) + 5*g(u)?\nAnswer: 2*u**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -2 (b) 2\/17 (c) -183 (d) 0.284\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5810302 is divided by 3001.\nAnswer: 366","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 61*j - 15 + 53*j - 48*j + 15.\nAnswer: 66*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (210\/7)\/((-24)\/15)*-42*10\/(-315).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1367\/10 - -699\/5. Let u = -2299\/700 - -6\/175. Find the common denominator of z and u.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r**2 + r + 2. Let u(i) = -i - 5*i**2 - 1 - 2 + 4*i**2. Let y = 4 - 7. Let s(v) = v**2 + 2*v. Let g be s(y). Give g*w(q) + 2*u(q).\nAnswer: q**2 + q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6590.\nAnswer: 2, 5, 659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 58562800 to the power of 1\/2, to the nearest integer?\nAnswer: 7653","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13335.87 millilitres to litres.\nAnswer: 13.33587","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 801412 to the power of 1\/2, to the nearest integer?\nAnswer: 895","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 387496202?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -11*y + 575. Give p(29).\nAnswer: 256","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*u**3 - 5*u**2 + 5*u**2)*(2 - 4 + 1) + (-5*u + 3*u + 5*u)*(4 - 4*u**2 - 4).\nAnswer: -9*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 13*j**3 - j. Let o be u(-1). Let c be 4 - ((-4)\/(-10) - o\/(-30)). Let m be (-4)\/(-10) + 24\/15. Solve 2*a - 10 = -5*b, 5*b = c*b - 2*a + m for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 257d + -482?\nAnswer: 20eb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-9 - (-3 + (-66)\/12))*2\/4\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*i**5 - 3240*i**4 - 350648*i**3 + 3626880*i**2 - 8437700*i - 2715000 = 0. Calculate i.\nAnswer: -75, -2\/7, 5, 181","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Let i = 5 + -4.6. Let y = -150.935 - -145.935. Which is the nearest to 0? (a) 7 (b) y (c) -4 (d) i\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nc when two letters picked without replacement from {n: 1, i: 1, c: 2}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence skv when three letters picked without replacement from kskkskvq.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:15 AM and 11:53 AM?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 13*b**3 + b**2 - b + 1. What is k(1)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the third derivative of -u**4\/24 + 2*u**2. Suppose 0 = -3*j - j - 4. Let h(d) = -6*d. What is j*h(c) + 5*y(c)?\nAnswer: c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + -1 + -9 - -10.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -21*f**2 - 2*f. Let y(d) = -906*d. Calculate y(z(m)).\nAnswer: 19026*m**2 + 1812*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the second derivative of -11*b**5\/5 - 5*b**4\/12 - b**3\/2 + 8491*b**2\/2 + 40*b - 14. What is the derivative of p(u) wrt u?\nAnswer: -132*u**2 - 10*u - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1 + 2 - 3\/1. Suppose d + j - 4 = k, -2*j - 1 + 14 = 3*d. Does 5 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the first derivative of n**4\/4 - n**3\/3 - n - 1. Let z(r) = 330*r**3 + 2*r**2 + 336*r**3 - 669*r**3 + 3*r**2 + 0 + 5. Calculate -10*l(t) - 2*z(t).\nAnswer: -4*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 54*m**3 + 11*m**2 - 22*m + 19. Let x(p) = -27*p**3 - 5*p**2 + 10*p - 9. Give -4*g(h) - 9*x(h).\nAnswer: 27*h**3 + h**2 - 2*h + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 541380 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 150 and 409350?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 41.57 rounded to the nearest ten?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 740 and 38880?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 435419015?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1127670 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 22203021 (base 4) in base 12?\nAnswer: 21009","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -639 or -640?\nAnswer: -639","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 115639 or 115692?\nAnswer: 115639","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v - 73*b - 23 = -72*b, -5*b - 43 = -3*v for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5051 + -4885 - (1 - -74).\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7 - 13*f**4 - 7 - 2*f**4 - 3*f**4 + 4*f**4 + (0*f + 0*f - 2*f**2)*(3*f**2 + 2*f**2 - 4*f**2).\nAnswer: -16*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of -8.908 and -46.3.\nAnswer: 412.4404","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a decade in months?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-156)\/(-130))\/(1760\/550)?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -27*m**2 + 10*m + 116. Calculate g(-2).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 459 + 3 = 5*j - 47*j for j.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -4c5 (base 15) in base 11?\nAnswer: -8a7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 172 is divided by 60?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8226.138mm to nanometers.\nAnswer: 8226138000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g**4\/8 - 36771*g**3\/8 - 18387*g**2\/4 = 0. What is g?\nAnswer: -1, 0, 12258","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -36*t**5 + 154*t**4 - 490*t**3 + 372*t**2 + 22. Let b(j) = 5*j**5 - 22*j**4 + 70*j**3 - 53*j**2 - 3. Let v(r) = 44*b(r) + 6*z(r). Factor v(u).\nAnswer: 4*u**2*(u - 5)**2*(u - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 3, e: 4, j: 1, a: 5, o: 5, c: 2}. What is prob of picking 2 a, 1 o, and 1 c?\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 10679.03667 to 1 dp.\nAnswer: 10679","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3571 - -13113. What are the prime factors of l?\nAnswer: 2, 13, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1a93 (base 12) to base 2.\nAnswer: -110011001111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4217.1 and -3.667.\nAnswer: 15464.1057","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-20)\/(-11) - (-2)\/11. Let s = h - -12. 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 8927.859 millennia in centuries?\nAnswer: 89278.59","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 765 divide 8534340?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the third derivative of -b**7\/630 + b**5\/120 - b**4\/12 - 3*b**2. Let v(r) be the second derivative of u(r). Differentiate v(p) with respect to p.\nAnswer: -8*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 14*h + 57. What is y(-5)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -677, -661, -635, -599, -553, -497, -431?\n\"Answer: 5*k**2 + k - 683","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.836 times -192\nAnswer: -160.512","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29*s**3 - 10*s**3 - 2*s**3 + 19*s**3.\nAnswer: 36*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**3\/4 - 169*a**2\/4 + 3245*a\/2.\nAnswer: a*(a - 110)*(a - 59)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b + 4. Let y be o(-2). Solve y*m - g = -3*m + 13, -4*g = 3*m - 17 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4 and 347394.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 29*h - 42. Let x(y) = y**2 - 5*y + 7. Let r be x(5). Let s be i(r). What is the highest common divisor of 46 and s?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4\/3, 0.5, -2.4, 2\/3, -1, -0.28, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 67*g**2 + 9059 - 2*g - 4529 - 4525 to the form s*g + v + u*g**2 and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + v + 746 = 4*y, -183 = -y - 4*v. Calculate the remainder when y is divided by 27.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 plus -269?\nAnswer: -278","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 81631669 a multiple of 4142?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 181803165*n - 13*n**3 - 90901583*n - 90901582*n.\nAnswer: -13*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -22, -24, -28, -34, -42?\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 4, -29, 2 in descending order.\nAnswer: 4, 2, -2, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4574 or 4573?\nAnswer: 4574","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1099 - 1102.5. Let p = -30.5 + 25. Let v = p + l. Sort -0.1, v, -0.2 in descending order.\nAnswer: -0.1, -0.2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1129?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 791 or 831?\nAnswer: 791","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the first derivative of 50*t**3\/3 - t**2 - 10*t + 17. Is 24 a factor of c(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -4*b**2 - 6*b + b**2 - 7 + 7. Let j(n) = -2*n**2 - 3*n. Let l(z) = -3*h(z) + 5*j(z). Factor l(a).\nAnswer: -a*(a - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1 - 0)*(-2)\/2. Suppose -5*u + 1 = w. Suppose 3*j - 4*y - 61 = u, 2*j = -y + 6*y + 36. List the prime factors of j.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2520983\/2486520 - -1\/34535. What is the common denominator of l and -41\/52?\nAnswer: 936","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4\/11? (a) -0.3 (b) -180 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:30 AM and 10:42 AM?\nAnswer: 552","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m + 3. Let u be n(-4). Let j = -1.3 + 1. What is the nearest to u in j, 1\/2, -4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) -3722\/213 (b) 114 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -32, -152, -284, -434, -608, -812?\n\"Answer: -u**3 - 113*u + 82","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1097 - 855. Is 11 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 32405054 and 42064.\nAnswer: 5258","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.099? (a) -3 (b) 3\/2 (c) -0.5 (d) -9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 5*l**3 + 2*l**2 - 2. Let b(j) = -4*j**3 - 2*j**2 + 2. Determine -6*b(a) - 5*q(a).\nAnswer: -a**3 + 2*a**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4 - 130204011?\nAnswer: -130204020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 8, o: 2}. Give prob of picking 2 o and 2 l.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/(-7) + (-90)\/21. Let f = 1 - z. Suppose -f*s = -2*s. Solve 3*g = -2*g - 5*o - 30, -3*g + 5*o - 10 = s for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 t when two letters picked without replacement from ftn.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 11 + -6. Suppose 5*p + 3*o = 127, 7*o + 11 = p + 4*o. Suppose -c + k*c - p = -5*s, 0 = 5*s + 3*c - 21. Solve -18 + s = 5*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 616240 + 41?\nAnswer: 616311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -379849691 - 2.518.\nAnswer: -379849693.518","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*v**3 + 0*v**3 - v**3 + 2 + v**3 + v**2 - v**2 + (-2 + 2*v**3 + 2)*(-5 + 4 + 3) + (-4*v + 2*v + 3*v)*(953*v + 1015*v - 1694*v)*(1 - 1 + 2*v).\nAnswer: 554*v**3 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + b = -3. Suppose 7*m + 16 = b*m, -2*z + 26 = -5*m. What are the prime factors of (-2)\/z - (-26)\/3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 21*u**5 + 40*u**4 + 29*u**3 + 2*u**2 + 104277*u + 3?\nAnswer: 1260*u**2 + 960*u + 174","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 126 = 5*d + 3*j + 18, 4*d + j - 92 = 0. Let i(m) = 2*m**2 - 11*m - 13. What is the remainder when i(10) is divided by d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 251*s - 2031*s - 3930*s.\nAnswer: -5710*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of j*l - 17165*j + 5083*l wrt l?\nAnswer: j + 5083","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*s - 6, -5*i + 4132 = 73*s - 69*s. What is the hundreds digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:24 PM and 6:49 PM?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -12 - -248. What is the hundreds digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -21299.71 and 0.4.\nAnswer: -21299.31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 252 and 280?\nAnswer: 2520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in 0.1, -7, -2\/7, 4?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 23*l + 12 - 64*l + 17*l - 11*l**2 + 20*l. Let f(g) = -5*g**2 - 2*g + 6. Let x(s) = -9*f(s) + 4*j(s). Determine x(2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 1, u: 5, g: 3, d: 1, q: 4, p: 1}. Give prob of sequence ucd.\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -31 (b) 91 (c) -1 (d) -3 (e) -66\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the third derivative of 0 + 0*n**3 + 0*n**4 + 0*n - 27*n**2 - 1\/60*n**5. Let v(j) = 16*j. Calculate p(v(d)).\nAnswer: -256*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 356450 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 23 - -21. Let n = o + -43.3. Let r = n - 3.7. Put r, -1\/4, 1.8 in decreasing order.\nAnswer: 1.8, -1\/4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:33 PM and 9:58 PM?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 111.6 - 137. Let l = s + 25. Let g(a) = a**2 - 11*a - 9. Let j be g(12). Sort l, -2\/11, 1\/4, j in increasing order.\nAnswer: l, -2\/11, 1\/4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12373 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 13404461 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-87043 - -87035) + (2 - 0)*-1 + (-202)\/(-20).\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 14 = 6. Suppose -5*s + 18 = -2*s. Let n = s - b. Solve -4*q - 5*d = -2*d + 8, n*d = -q + 3 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1 <= 5683976?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 47 + 146. Suppose -3*t + s = -287, -2*t = 2*s - 3*s - u. What are the prime factors of t?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4553 times -0.214868?\nAnswer: 0.0978294004","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 105638 and 245510838.\nAnswer: 8126","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m**2 + 9*m + 14. Does 7 divide r(-9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:03 PM and 1:46 AM?\nAnswer: 463","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -91b (base 12) in base 16?\nAnswer: -527","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k**2 - 5*k + 5. Let q be j(2). Put -5, 0, q in ascending order.\nAnswer: -5, q, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5*5\/((-75)\/15)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 30*c**2. Let b(v) = v - 1. Let y(d) = d**2 - d + 1. Let l be (-6)\/(-4)*-4*(-4)\/(-24). Let z(x) = l*y(x) - b(x). Give j(z(r)).\nAnswer: 30*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2126*n**2 + 8667*n - 8667*n)*(8*n - 9*n**3 - 8*n).\nAnswer: 19134*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - -9) + (-1 - 11)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4.8 (b) -2 (c) 4 (d) -223 (e) 5\/12\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -661 * -39831\nAnswer: 26328291","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1107317?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o**3 + 1885*o**2 + 0*o**3 - 1 - 1890*o**2 - 4*o. Let n be r(-4). Which is bigger: n or 5\/12?\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -2\/7735231233?\nAnswer: -2\/7735231233","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 3, 43, 2, 1 in descending order.\nAnswer: 43, 3, 2, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 3807053 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(16) + -2*sqrt(400) + sqrt(784)*-1 + sqrt(16))\/(6*sqrt(16)\/sqrt(2) + sqrt(48)\/(sqrt(48)\/sqrt(8))).\nAnswer: -15*sqrt(2)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1022222212 (base 3) in base 14?\nAnswer: 97c4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 42481303371087 + 0.06.\nAnswer: 42481303371087.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(2\/7)\/((p\/p**8)\/p)*p**(-4\/5)\/p**(-12))**(-4\/13) assuming p is positive.\nAnswer: p**(-2728\/455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 2\/7, -2\/23, 0.101, -44, 7?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wq when two letters picked without replacement from {a: 5, q: 2, w: 1, z: 1}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-147)\/9*(-84)\/(-98)*-1?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 120*q**5 + 79*q wrt q.\nAnswer: 2400*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 159 divide 876726?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 159.231 years to decades.\nAnswer: 15.9231","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*r = -43*r + 4. Let w(p) = 0*p - p + 0*p**2 + 0*p**2 - p**2. Let q be w(-1). Solve r*s + q - 2 = 0 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 times 0.031748\nAnswer: -0.0126992","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -551\/121190?\nAnswer: -551\/121190","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 45, 53, 61?\nAnswer: 69","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0002166 rounded to four dps?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.58375 + 0.08375. What is the fourth smallest value in 3\/4, -2\/9, t, 0.132, 8?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (75\/(-12))\/(1\/(-8)). Suppose 165*j - 164*j - z = 0. Does 50 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4234437854 to the power of 1\/3, to the nearest integer?\nAnswer: 1618","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 8 + 16)*(-q - 5*q + 4*q).\nAnswer: -48*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1216)\/(-114)*6\/(-4).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 559 minutes after 2:47 AM?\nAnswer: 12:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -616*j - 1577*j = -599*j + 466*j - 197760 for j.\nAnswer: 96","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f + 40 = 4*i, -7*f - 2606*i = -2611*i + 50 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 23 - 12. List the prime factors of 3 - (0 - (-3 + i)).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (201594716\/(-166))\/((4\/6)\/(5\/(-15))) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4182237157?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*u + 2*u - 116. Let o = -9 - u. Suppose -8 = -2*g + 3*m, -7*g + 2*g + o = 4*m. List the prime factors of g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -69\/2 in -2.32, 4\/5, 0.024, 2\/9?\nAnswer: -2.32","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -37 (b) -5 (c) -1\/10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3510000 rounded to the nearest 1000000?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (-17*o**3 + 89*o - o**4 - 89*o)*(986 - 21 + 1446 + 703 - 159) in the form n*o + i*o**2 + t*o**3 + u + f*o**4 and give f.\nAnswer: -2955","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1\/2)\/((-2)\/(-8)). Suppose -3*p - 2*c = -p - 2, -5*p - c + 13 = 0. Suppose -x - x = -p*y, y = -5*x + 17. Solve -w*u - 6 = y for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -2*l**2 + 3*l. Let n(m) = 3*m**2 - 2*m. Determine -4*g(k) - 5*n(k).\nAnswer: -7*k**2 - 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12 - 7 - (2 + 2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 97251727.\nAnswer: 677, 143651","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1307364?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 678612860?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kki when three letters picked without replacement from immkkmimikiiimmmm.\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bbd when three letters picked without replacement from {d: 11, b: 9}?\nAnswer: 11\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 20 and 50000?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.5, -0.155, -0.4, -3\/8, -2, 0.09?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -14 + 6. Let h = c + 12. What is the remainder when 14 is divided by h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -17 + 20. Suppose -i - u = -5, -4*i + s*u + 12 = -1. Solve -4*j + 2*j + 12 = 5*m, -3*m - i*j + 10 = 0 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 2*o - 5 + 4 + 0*o.\nAnswer: -2*o - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -169\/3180 and -61\/1065.\nAnswer: 225780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 12 + -6. Let l = y - 4. Let u(b) = -4*b + 7*b - 2 + 2*b. Give u(l).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -545 (base 6) in base 4?\nAnswer: -3101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**18\/c**(-2\/13)*c**(-2\/15)*c**(-5))**(-1\/13) assuming c is positive.\nAnswer: c**(-2539\/2535)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 15133551?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -3*s, -3 = f - 4*f + 3*s. Let g(i) = -9*i**3 + 3*i**2 + 3*i + 1. Let o be g(f). Is 10546\/o - 32\/(-80) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0.5, -588, 151?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 93 divide 12016321?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 96 a factor of 53298?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by 83938\nAnswer: -1\/41969","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*i - 7*i - 2*i)*(-6 + 7 + 3) in the form a*i + n and give a.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3)\/(-7) - 160\/112. Let x be 117 + (-4 - d) - 4. What is the greatest common factor of 10 and x?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(21)\/(sqrt(560)\/sqrt(5)).\nAnswer: sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.1731 - -0.1331. Sort 5, -4, n.\nAnswer: -4, n, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = b - 4, 0 = -3*l + 3*b - 7*b + 19. Let v be l\/(0 + -1) - -1. Suppose -4*o + 0*o = -2*t, -4*o + t + 2 = v. What is the units digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(84) + 5*(sqrt(84) + (1*sqrt(84) - sqrt(84))) + (1*sqrt(84) - sqrt(84))*-2))\/(1*(sqrt(1728) - (-3*sqrt(1728)*5 + sqrt(1728)))).\nAnswer: -sqrt(7)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -48, -29, 26, 135, 316?\n\"Answer: 3*s**3 - 2*s - 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**(-2\/39)\/a)\/((a\/(a*a\/(a*a**(-10))*a))\/a) assuming a is positive.\nAnswer: a**(466\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (21\/4)\/(6\/16). Let f = y - 8. Suppose k = 8 + f. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 245987?\nAnswer: 7, 35141","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7.71996031 + 7.72. What is n rounded to 6 decimal places?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2040 - 2036. Put a, -3\/11, 2, 4\/7 in ascending order.\nAnswer: -3\/11, 4\/7, 2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 519556.\nAnswer: 2, 193, 673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -367828, -735604, -1103380, -1471156?\n\"Answer: -367776*g - 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12 - -1) + (1 + -9 + 16 - 12).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -39388 and -7.1?\nAnswer: 39380.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 91.84498ml in litres?\nAnswer: 0.09184498","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -23 or -138256\/6203?\nAnswer: -138256\/6203","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 526309568 a multiple of 496?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 22 + -16. Let x be (3\/v)\/((-334)\/(-84) + -4). What is the tens digit of 3*((-727)\/x + 12\/(-42))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -3 - j**3 - 5*j**2 + 2*j**3 + 4 + j. Let f be b(2). Let s(v) = -v - 7. Let y be s(f). Solve r - y = -r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 66, 49, 20, -21, -74, -139?\n\"Answer: -6*y**2 + y + 71","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 27043 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 -128, -254, -380?\n\"Answer: -126*q - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m**2 - 5*m - 4. Let o be t(6). Suppose n = -2*n - o*a + 56, 2*a - 72 = -4*n. Let i = 22 - n. Solve -20 = -x + i*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-22)\/(-33))\/(2\/(-6))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 136649 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -6*n + 9*n. Solve 4*l - 7 = v, l - n*l = 5*v - 28 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/9? (a) 2 (b) 2\/5 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 21*j. Let u(z) = -939*z**2 - z. Give u(v(r)).\nAnswer: -414099*r**2 - 21*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*c + 3*m + 19, 2*c - 7 = 5*m + 4 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*(-2)\/4*397\/60 - (-6)\/45.\nAnswer: 27\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 1038 + r**2 - 10*r - 1010 - 2*r - r. Give g(12).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -3*a - 3*y, -a - 3*y - 18 = -2*a. Suppose -a*x = 3 - 0, -x - 7 = -3*b. What is the units digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 25*x + 11. Calculate f(2).\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w = -u - 19, -6146*u - 4 = -3078*u - 3072*u for w.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 4 = -2*r. Solve k + 4 = -w + 3, 3*k = -r*w - 3 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 3*m**2 + 4*m**3 + 2 + 4 + 11*m - 5*m**3 - 4*m. Let q be f(-4). Let y = q - 59. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-k + k + 2*k)*(1 - 1 + 2) - 3*k + 3*k + k - 5*k + 2*k + k + 6 - 2*k - 6)*(2*k**4 + 33*k**2 + 18*k**2 - 43*k**2).\nAnswer: 2*k**5 + 8*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p**3 - 34*p**2 - 28*p + 1024. Give i(34).\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/(-364) + 119880\/(-3922555).\nAnswer: -2\/233","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 3, -2, 5, 0 in decreasing order.\nAnswer: 5, 3, 2, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -47721*p**3 + 0*p - 14*p + 47709*p**3 in the form z*p**2 + u*p**3 + o + r*p and give u.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -2188 less than or equal to -2188?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = -4*i + 7066, 4*g - 2*i + 5*i = -5628. Round g to the nearest 1000.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c**2 - 9*c. Let o be k(9). Suppose o = -d + 4. Let z = 82 - 79. Solve -z = t - d for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 33*j + 1. Let r be y(-4). Let g = r + 64. Let a = -897.9 - -898. Which is smaller: a or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*o - 5*o - o + (0*o - 2*o + o)*(3 - 1 + 0) - 3*o + o + o)*(-111*o + 200 - 200) as c*o**2 + u + a*o and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 27b57 (base 15) in base 7?\nAnswer: 1040344","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3428912?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x\/x**(-32)*x\/(x*x**(2\/3)))\/((x*x**13\/x)\/(x\/(x**(-3\/22)\/x))) assuming x is positive.\nAnswer: x**(1483\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1633646762?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, x: 1, r: 1, s: 1, q: 1}. Give prob of picking 1 r and 1 x.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10696, -9985, -8780, -7063, -4816, -2021, 1340?\nAnswer: 5285","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 + 4)*(439*y**3 - 1297*y**3 + 664*y**3).\nAnswer: -194*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l**(-1\/3)*l)**(2\/13)\/(l\/(l**(2\/5)\/l)*((((l\/l**0)\/l)\/l)\/l)\/l))**45)**(-15\/7) assuming l is positive.\nAnswer: l**(-13185\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that -2*x**2\/9 - 4*x - 18 = 0.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s**2 - 15*s - 13. Let n be k(-14). Put 2, 5, n in ascending order.\nAnswer: n, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 2 - 1)*(-20*c + 7*c - 30*c) to y + z*c and give z.\nAnswer: 172","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w**2 - 33*w + 147. What is r(18)?\nAnswer: -123","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -174 (base 16) in base 7?\nAnswer: -1041","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -39.4 + 39. What is the closest to -1\/6 in h, 4, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*j + 8*j + 206 = 0. Let n be (-8)\/j*(-4)\/8. Which is bigger: 1 or n?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 57 divide 101954988?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 18*r + 9. Let l be y(-1). Does 9 divide (l\/(-12))\/((-3)\/(-1224))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2816*i + 2825*i + 3*z - 18, 5*z = -6*i + 3 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -10*y**2*z**3 - 2*y**2*z**2 + 2*y**2 - y*z**2 + 286*y*z - 17*z**4 - z**3 wrt z?\nAnswer: -60*y**2 - 408*z - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000001565 to 7 decimal places.\nAnswer: -0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 82*n - 47 + 40 + 148*n + 78*n in the form k + p*n and give k.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the third derivative of -b**5\/60 - b**4\/12 - b**3\/2 + 5*b**2. Let q be r(-6). Let v = 1 - q. List the prime factors of v.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.1 or 44.2?\nAnswer: 44.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1\/5, -5, 5, -111?\nAnswer: -111","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -37\/1236 and 89\/2256.\nAnswer: 232368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(3\/(270\/(-75))*(-2)\/(-5)*9)\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What is -132.34 rounded to the nearest integer?\nAnswer: -132","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.1252 and -3.\nAnswer: 0.3756","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 21*((-68)\/12)\/(-17).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -181 + 194. Solve 0 = 9*n - t*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1812 + -5432\/3. Factor 5\/3*s - 2\/3 + 1\/3*s**3 - d*s**2.\nAnswer: (s - 2)*(s - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -95*k = -91*k - 24. Let d be 45\/(-135) + 40\/k. Which is bigger: d or 5?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 - (2 - -3) - 11?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 not equal to -4\/141?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 87 - 2609\/30. Let c(m) be the third derivative of k*m**4 - 1\/150*m**6 - 2*m**2 + 0*m + 1\/15*m**3 - 1\/525*m**7 + 0*m**5 + 0. Factor c(i).\nAnswer: -2*(i - 1)*(i + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.01 + 6.01. Let i(t) = -4*t - 12. Let p be i(12). Let v be ((-5)\/p)\/(1\/(-2)). Sort v, -4, m in increasing order.\nAnswer: -4, v, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*b - 27*b**2 - 140*b**2 + 6*b to the form w + k*b + f*b**2 and give f.\nAnswer: -167","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 1048.7 to the nearest ten.\nAnswer: 1050","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/265 in -1\/3, -42, -5?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 210\/150 - (-1 - -2). What is the second biggest value in 3, 1\/110, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fifteen quarters of a litre?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*-3*(((3 + sqrt(3388) - sqrt(3388)) + sqrt(3388) + 5)**2 + sqrt(3388) - sqrt(3388)) + -3.\nAnswer: -41427 - 4224*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 42*z**4 + 3*z**3 + 18*z**2 - 5541*z + 7.\nAnswer: 504*z**2 + 18*z + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(152)*-4 + sqrt(152))\/(sqrt(32)*5).\nAnswer: sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 519.54 kilometers to millimeters.\nAnswer: 519540000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (6 - (11 - 4))\/((-3)\/39). Calculate the highest common divisor of 1079 and i.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -566168 + -342432. Round b to the nearest 10000.\nAnswer: -910000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 3\/314 and 1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -l**5 + 5*l**4 - 5*l**4 + (-2*l + 3 - 3)*(-1 - l**4 + 1) + l**5 + 3 + l**5 + 4.\nAnswer: 3*l**5 + 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m - 5. Let r(q) = -2*q + 15. Let s(p) = 8*f(p) + 3*r(p). Let k be 3\/(-6)*-2 - 1. Suppose v + k*v + 8 = -b, 0 = -2*b + 2*v. What is s(b)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51*y**3 - 325545*y**2 + 2677596*y - 612000 = 0.\nAnswer: 4\/17, 8, 6375","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15)\/(-35) + (6\/(-15) - (-128)\/(-2030))?\nAnswer: -1\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -513, -1990, -4445, -7878, -12289, -17678, -24045?\nAnswer: -31390","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-22)\/(-6) - (-8)\/(-12). Let k be v\/(-6)*-3*2. Solve 7*b = k*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 206*o = 563*o - 6069 for o.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 10162336 by 16.\nAnswer: 635146","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q**3 - 7*q**2 - 9*q + 11. Let b be j(8). Let g be 4*(-4)\/(-16) - -3. What is the closest to 0 in 1\/5, g, b?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6109*r + 6117*r - 96 for r.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a**3 + 2*a**2 - 15*a + 43. Give k(4).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -77\/1297555422 and -3\/10.\nAnswer: 6487777110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 46046666 is divided by 194.\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b**2 + 11*b. Suppose -f - 5*n = -30, -195*n - 13 = -3*f - 199*n. Let t(x) = -2*x**2 - 22*x. Give f*h(y) - 2*t(y).\nAnswer: -y**2 - 11*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i**2 + 429111*i - 2574632. What is s(6)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2610029 is divided by 32215?\nAnswer: 614","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1813 - -2909. Is 20 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h\/h**(1\/4)))**(-5\/4)*h*h**0*h**(-6))\/(((h*(h**4*h)\/h)\/(h*h**4*h))\/((h\/(h\/(h**(-2\/3)*h)))\/(h**(-3)\/h))) assuming h is positive.\nAnswer: h**(1\/48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 17553155?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*sqrt(2352) + sqrt(2352))**2 + 3 - 2*(sqrt(1728) + 1)**2) + 1.\nAnswer: -96*sqrt(3) + 34178","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -318*n**3*w - 149846*n**3 - 98*n**2*w with respect to w.\nAnswer: -318*n**3 - 98*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 23.029 + -0.129. Let g = 26.559 + -3.559. Let o = m - g. Which is the fourth biggest value? (a) -5 (b) -4 (c) 2\/9 (d) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**3\/13 + 190*t**2 + 14766*t\/13 + 22122\/13.\nAnswer: 2*(t + 3)**2*(t + 1229)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 16523?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.2 - 0. Let n = h + 0.3. Let z = 4\/29 - 45\/116. Put -4, z, n in increasing order.\nAnswer: -4, z, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1717657514 rounded to the nearest 1000000?\nAnswer: -1718000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -162*z - 1919. Calculate x(-12).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1.46 (b) -4 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -535521, -535827, -536135, -536445, -536757, -537071?\n\"Answer: -u**2 - 303*u - 535217","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 146856637 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 + -1. Let v = 0.5 - -1.12. Let b = 0.38 + v. What is the second smallest value in 5, b, u?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1200 divided by -40.\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 43097\/207 + -1873\/9. Which is the second smallest value? (a) 2\/3 (b) 117\/5 (c) p (d) 4 (e) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 2, 121944 in ascending order.\nAnswer: -5, 2, 121944","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 127\/2556 and -37\/563598.\nAnswer: 1127196","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*o**2 + 131208868 - 8*o**2 - 131208868.\nAnswer: -34*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s**2 - 7*s + 6. Let j be c(7). Solve 2*p = j*p + 8 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30869 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3 + (-165)\/45 - (-2)\/21. Let o be (-6)\/4 + 2\/1. Which is the fourth smallest value? (a) x (b) o (c) 0 (d) -1\/10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, -2, -1, 0 in increasing order.\nAnswer: -2, -1, 0, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u**2 + 12*u + 1. Let q(w) = w + 1 + 4 - 4 - 2. Let f(d) = l(d) - q(d). Let c be f(-11). Solve -6*x - 26 = -2*x - 2*i, 5*x + 10 = -c*i for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.31 and 12.\nAnswer: -3.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-1285)\/(-20))\/(2\/8) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 32332761 - 32332746.9999944. Let z = -14 + p. What is z rounded to 6 dps?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-36)*l*l\/l**(-2\/35))\/(l**7\/l**(-4\/7)) assuming l is positive.\nAnswer: l**(-1453\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -60 - -63. Let f(b) = -b - 2. Let l be f(-6). Suppose -16 = -l*m - 0*z + 3*z, -5*m = 3*z + 7. What is the greatest common divisor of g and m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -72*t + 2 + 2 + 713*t - 4 to the form j*t + k and give j.\nAnswer: 641","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -51617*p**3*x**2 - 828*p**3 + 2*p**2*x + 2*p*x - 3*x wrt x?\nAnswer: -103234*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -12.7 + 13.2. Let o = 7.69 - 7.69. Which is the smallest value? (a) j (b) 5\/9 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*j + 13*j**3 + 27*j.\nAnswer: 13*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -10*j**2 - 42*j - 3246. Let l(h) = 2*h**2 + 9*h + 648. Calculate -14*l(n) - 3*u(n).\nAnswer: 2*n**2 + 666","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 3569959 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 5548, 5533, 5494, 5419, 5296, 5113, 4858, 4519?\n\"Answer: -2*y**3 - y + 5551","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in -0.3, -2\/15, -16.6?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -8263866.96 rounded to the nearest one million?\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 507630217?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gglj when four letters picked without replacement from gjggggggggl?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10)\/12*(-369)\/205*(-84)\/(-3).\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 75.13439ug?\nAnswer: 0.07513439","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 821535.3 nanograms in micrograms?\nAnswer: 821.5353","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-14) + 4 + (-46)\/14?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 467, -80, -991, -2266, -3905?\n\"Answer: -182*l**2 - l + 650","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that -704 - 12*w**2 + 704 + 4*w**3 = 0.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 5387.274 years?\nAnswer: 5.387274","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from weeckeeewcwewceewek. Give prob of picking 3 c and 1 w.\nAnswer: 5\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.973396 to 1 decimal place.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 31 + 3 = 0. Suppose 0 = -0*i + 11*i - 198. What is the smallest common multiple of i and d?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 160 - 461 + s + 157 + 144.\nAnswer: s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t**3 + t**2 - 1. Let p be (-6 - 4) + (-4)\/2. Let n = p - -13. Calculate v(n).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 193716?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-25)\/5)\/(-665))\/(2\/14).\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 126 = -0*u. Suppose -u = -2*y - y. Is 21 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -18 + 13. Suppose -3*u = -0*u - 45. Let t = u - s. What is the smallest common multiple of t and 8?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -15 + 26. Suppose n + p = 4*q, -4*n = -1 - 3. Let t be 2*5*2\/5. Solve -q*l - 5 = -m, 3*m = -t*l - 10 - 14 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 356004091 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1067, 4296, 9675, 17204, 26883?\nAnswer: 38712","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60*v + 901 = 16 + 45 for v.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n**3\/7 + 482*n**2\/7 - 2260*n\/7 - 23600\/7 = 0. Calculate n.\nAnswer: -5, 10, 236","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -r**2 - 5*r + 3. Let g be y(-5). Suppose 30 + 36 = g*j. Suppose 3*b = j + 11. Is 11 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*q - q + 7*q - q.\nAnswer: 13*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -2*l**2 + 0*l**3 - 3*l**3 + 5*l**3 - 2*l. What is u(2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 15 = -2*b, -31 - 2 = 4*b + 3*y. Let a be (b\/(-9))\/(3\/30). Solve 5*j = s - a, 4*j = 2*j - s - 4 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -e + 24e?\nAnswer: 240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -4*l**3 - 2*l**2 - 2*l - 1. Let n be -2*(1\/2 - 0). Let m be z(n). Factor -k**2 - 1\/2*k**m + 0 - 1\/2*k.\nAnswer: -k*(k + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 2 h when three letters picked without replacement from hkhhghg?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h**3 - h**2 - 2*h - 2. Let t be x(-1). Do t and 5\/6 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 2*a**2 + 9*a + 9. Determine s(-4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 374307139 divided by -5?\nAnswer: -374307139\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1253 is divided by 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:24 AM and 4:55 AM?\nAnswer: 211","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 18520 or 18518?\nAnswer: 18520","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -9, 24, 117, 300, 603, 1056?\n\"Answer: 5*o**3 - 2*o - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 35*p**3 + p**2 - p. Determine c(1).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:18 PM and 3:25 PM?\nAnswer: 127","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is (1 + 1)\/(((-3)\/(-72))\/(4506\/18)) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5.79 - -308.79. Is j greater than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/2 + 21\/6 + -1. Suppose -5*g + h + 0*h - 3 = 0, 0 = l*g + 3*h - 9. Suppose -4*z - 59 + 79 = g. Solve -c - 16 = -z*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 3*b**2 + 3*b - b**3 - b**3 + 3*b**2 + 4 + b**3. Let h = 13 + -8. List the prime factors of p(h).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 134 - 49. What is the tens digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 37*a + 16. Let y(u) = -u**2 + u + 1. Let n(i) = h(i) + 2*y(i). Let w be n(19). Let -50*x**2 + 127*x**2 - 36 - w*x**2 - 4*x**4 = 0. What is x?\nAnswer: -3, -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12992337 is divided by 54?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -12.98 - -13.28. Let h = 0.02 + 3.98. Which is the closest to 3? (a) y (b) h (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.504 - 1.996. What is the biggest value in -0.1, 0, n, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*r - 3*r**2 - 13 - 68 - r - 63.\nAnswer: -3*r**2 - r - 144","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*r - 5*r + 5*r)*(0 + 0 + 1)*(2 + 3 - 6)*(1 + 0 - 2)*(2 - 2 - r) to the form f*r + h + a*r**2 and give a.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1422*y**3 + 64456*y**2\/3 - 275282*y\/3 + 231868\/3 = 0 for y.\nAnswer: 2366\/2133, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1343 and 34?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -16 + -30?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-1)\/1)\/(2\/(-10)). Suppose -2 = o*g + 8. Is -1 at least g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11*78\/(-1144)*4\/3?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -p**2 + 9*p - 6. Suppose 2*k - 42 = -0*k. Calculate the remainder when k is divided by c(6).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 84308 divided by 23\nAnswer: 84308\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 17630709 to the power of 1\/2, to the nearest integer?\nAnswer: 4199","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*-1*4*sqrt(65)*1)\/(3*(sqrt(2420) - (1*sqrt(2420) + sqrt(2420)))).\nAnswer: 8*sqrt(13)\/33","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 3*y**2 + 47*y + 79. What is the remainder when k(-21) is divided by 14?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 335808774 to the power of 1\/2, to the nearest integer?\nAnswer: 18325","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 738885493 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*b + b = -10. Suppose 5*p + 4*a - 5 - 30 = 0, 2*a + b = 4*p. Let w(j) = -j**3 + 7*j**2 - 4*j - 10. Let s be w(6). Put p, -4, s in descending order.\nAnswer: p, s, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*b**3 + 3*b**3 - 4*b**3 + 43*b**3 + 3095 - 3095 + (-3*b + 4*b - 3*b)*(-2 + 2 - 2*b**2))*(0*b**2 + b**2 - 3*b**2) + 3*b**3 - 3*b**3 + b**5.\nAnswer: -99*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the first derivative of 5*d**4\/4 + 65*d**3\/3 - 35*d**2 + 250. Factor i(g).\nAnswer: 5*g*(g - 1)*(g + 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 128 divide 346140288?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(4\/3)*t**(1\/7)*t)\/(t**0*t\/t**2))**2 assuming t is positive.\nAnswer: t**(146\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.02155 and 0.5?\nAnswer: 0.010775","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -90 - -94. Solve 4*t - 4 = -i for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:28 AM and 9:56 PM?\nAnswer: 628","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*j*l**2*s**2 - 32*j*l**2 + j*l + 2*j - 2*l**2*s - 2*l - 2*s**2 wrt l?\nAnswer: 4*j*s**2 - 64*j - 4*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*m + 2*m - 3*m)*(-4 + 20 + 40 + (0 + 1 - 4)*(2 - 7 - 10) - 3 + 1 + 3) in the form y + p*m and give p.\nAnswer: 102","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 90 divide 3117936?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -10 (b) -72 (c) 16\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 3457*s**3 - 33*s**2 - 22*s - 1342. Let u(a) = a**3 + 3*a**2 + 2*a + 1. Let n(q) = k(q) + 11*u(q). What is the first derivative of n(b) wrt b?\nAnswer: 10404*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 853.266 - 853.11000324. Let y = o - 0.156. Round y to six dps.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -34 + 38. Let g(z) = -z**3 + 3*z**2 + 3. Let b be g(3). Differentiate -s + l - b - 3 wrt s.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -397*m - 395*m - 417*m + m**2 + 1999*m - 398*m - 392*m.\nAnswer: m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -4, 3773436 in decreasing order.\nAnswer: 3773436, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*b - 5*n + 132, 3*n = -5*b + 11 + 319. What is the units digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a litre in millilitres?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/4589 at least as big as 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3 - -8. Solve v*a = -11 - 4 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 5*u = 13052. Suppose -4*j + u = 1600. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 17 = -52. Let u = j - -17. Solve 0 = 4*d - 6 - u for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -z**2 - 9*z + 5. Let q be v(-9). Sort 2, q, 1 in decreasing order.\nAnswer: q, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = -3*w - 0*j + 13, 2*w + 6 = 4*j. Let l be 2\/6 + w\/(-3). Suppose l*h - 3 = -h. What is the units digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n + 5*y = -5, 67*y - 71*y = -2*n + 4 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8 - 24 - 5*d + 15*d + 334*d**3 - 1 wrt d.\nAnswer: 2004*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - 2) + 4 + -3.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 228 and 3648?\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6 - -4.5. Let a = -2.4 + p. What is a rounded to zero dps?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 25 - 6. Let s = 34 - m. Suppose 4*w - 5*p = -15, -p = -w - 6*p + s. Solve 5 = 5*k - w*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in 6, -10, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:51 PM and 11:37 PM?\nAnswer: 286","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*l**2 - 18610260*l + 17317088863380.\nAnswer: 5*(l - 1861026)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 86*t**4 - 211*t**4 - t**2 - 132*t**4 - 1 - 3*t + 15156372*t**3 - 15156374*t**3 to r*t**4 + w + l*t + z*t**3 + a*t**2 and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -65 + 150. Suppose f = -o + 4*n + 359, -o + 2*n = -264. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 2\/5 (b) -3 (c) 5 (d) 9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 809 and 4524556593.\nAnswer: 809","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*b - 1 = 5*b. What is the units digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 76726515 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 19.81745 minutes in microseconds?\nAnswer: 1189047000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 84191 is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence adk when three letters picked without replacement from mahqkda.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n and 1 h when three letters picked without replacement from hhnnnnnhnhnhnn?\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*i + 4*i - i)*(-i - i + 4*i)*(2*i + 8 - 8).\nAnswer: -8*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 109100579 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the third derivative of -5*c**4\/8 - c**3\/3 - 38*c**2 + 6. Let k(m) = -44*m - 7. What is -7*i(v) + 2*k(v)?\nAnswer: 17*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 303 is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (4\/6)\/((-135)\/(-27))\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 754385536.\nAnswer: 2, 61, 79, 1223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-721)\/(-280) + 2 + (-418)\/176.\nAnswer: 11\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -934.1919 + 932.5069969. Let m = 1.685 + h. Round m to five decimal places.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + ((sqrt(931) + sqrt(931)*-3)*-1 - (sqrt(931) + 2*sqrt(931))*2 - (1 + 1*(sqrt(931) + 2))*-2))**2.\nAnswer: -224*sqrt(19) + 3788","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 28602*n**2 + 74*n. Let x(u) = -9535*u**2 - 26*u. What is -6*c(p) - 17*x(p)?\nAnswer: -9517*p**2 - 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -22*l + 5*b + 162, -3*b - 46 = 2*l + 61 - 25 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 5*q + 15 = -6*q, -4 = 4*q. Calculate the remainder when 53 is divided by s.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 18*h**3 + 20*h**2 - 7*h + 432. Let u(z) = 10*z**3 + 11*z**2 - 4*z + 217. Give -4*i(l) + 7*u(l).\nAnswer: -2*l**3 - 3*l**2 - 209","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8066*a + 24761*a + 4282*a.\nAnswer: 37109*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 282 is divided by 272?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11231, -44914, -101041, -179606, -280603, -404026, -549869?\nAnswer: -718126","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*m**3 + 24*m**3 + 11*m**3.\nAnswer: 15*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 101210112221 (base 3) in base 14?\nAnswer: 57658","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/7 + 11958\/42. Let b = k - 195. Let i = -42 + b. Is i a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 23\/(-20) + (-12 - -1) + 12. Let t be ((-1)\/(-3))\/((-4)\/(-3)). Do i and t have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-12))\/((-14)\/21)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28489 is divided by 139?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4512113\/568 + -7944. Let y = -1\/71 - h. Which is bigger: y or -0.3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-50)\/(-10)*(-4369)\/(-1285).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*v + 3*v + 30*v**3 - 306*v**3 + v.\nAnswer: -276*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of y + 21 + 39 + 526*y**3 - 82 wrt y?\nAnswer: 3156*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8977\/628 + 7\/157. Calculate the common denominator of 34\/9 and w.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 5\/((-5115)\/993) - 1*-1. Let x = r - 1684\/341. Is x <= -6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, z: 2, p: 4}. What is prob of picking 1 z, 1 p, and 1 t?\nAnswer: 8\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 3\/5 of a kilometer?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -115 or -308341\/2668?\nAnswer: -308341\/2668","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*o**5\/5 + 8212*o**4\/5 + 1124496*o**3 + 1285668288*o**2\/5 + 1280054016*o\/5.\nAnswer: 4*o*(o + 1)*(o + 684)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 50273\/18 - 2792. Which is greater: o or 0?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45877*y + 45876*y + 15 = 0 for y.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -5*f - 14*f - 13*f + 16*f + 28*f. Let n(c) = 75*c. Determine n(w(x)).\nAnswer: 900*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 w when two letters picked without replacement from {w: 3, r: 6, n: 8, l: 1}?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.05, 2\/3, -0.08, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -21.2 + 21. What is the nearest to y in -2, 1, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aalllaassslslsssl. Give prob of sequence aall.\nAnswer: 3\/476","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.88 + -0.88. Which is the closest to g? (a) 0 (b) -0.4 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-145)\/(-580))\/(2\/(-32)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -48095.494 rounded to the nearest ten?\nAnswer: -48100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 230 and ((-60)\/(-14))\/(150\/2450).\nAnswer: 1610","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 16995052 to the nearest integer?\nAnswer: 257","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 317?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ol when two letters picked without replacement from lopppokopoookkppok.\nAnswer: 7\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1814837?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 268 and 68814494.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 533675 to the power of 1\/6, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 6*u**3 - 8*u**2 + 7*u + 7. Let r(f) = f**3 - f**2 + f + 1. Let b = -15 - -29. Determine b*r(d) - 2*i(d).\nAnswer: 2*d**3 + 2*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Are 13 and -912 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(228)*-5)\/(sqrt(96)\/(sqrt(8) + sqrt(648))).\nAnswer: 50*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = -4*a - 4*f, a - 179*f + 182*f - 7 = 0 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 12260\/27 - 454. Let s(m) be the first derivative of 2\/9*m**2 + 0*m + 1 - i*m**3 + 2\/45*m**5 - 1\/9*m**4. Factor s(g).\nAnswer: 2*g*(g - 2)*(g - 1)*(g + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kyyy when four letters picked without replacement from kykyykkykykkyykyykk?\nAnswer: 35\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (13 - 28) + (-3078)\/(-209)?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 261 greater than 262?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 60 and 2060730?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 296996, 593520, 890050, 1186586?\nAnswer: 1483128","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*q - 6 + 5 - 1)*(-5*q**2 + 5*q + 4*q**2 + 3*q) to the form t*q + b*q**2 + p + h*q**3 and give t.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.6 at least as big as -7\/60?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*s + 32 + 4. Let m = 1 - s. Suppose 18*p + 3 = m*p. Solve -x + 4*x = -p*v + 21, -v = 2*x - 9 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 70*g + 112*g - 202*g.\nAnswer: -20*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q**3 + q**2 + q. Let g(y) be the second derivative of -27*y**5\/20 + 15*y**4\/4 + 15*y**3\/2 + 263*y - 2. Determine g(p) - 45*z(p).\nAnswer: 18*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.13 + 61.87. Which is smaller: 1 or x?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -36 + 34 + 291*o**2 - 520*o**2 to the form a*o**2 + f + j*o and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*c + 3*n, 0 = 4*c - n + 9 + 5. Let o(p) = -5*p**3 + 2*p - 4. Let q(r) = -4*r**3 + r - 3. Let h be -1 - (1 - 4\/1). Give c*q(u) + h*o(u).\nAnswer: 2*u**3 + u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the second derivative of t**3\/6 - 12*t - 5. Let o(y) = -486*y. Give o(k(s)).\nAnswer: -486*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**29*j**(4\/17)*j*(j*j**(12\/5)\/j)**(-34) assuming j is positive.\nAnswer: j**(-4366\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (6 - 6)*(-5 - -4). Suppose 40 = 5*d - 5*v + 3*v, 3*d + 3*v - 45 = m. Let t(y) = 13*y - 50. What is the least common multiple of t(d) and 8?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((1 - -1) + 8 - -3) + (5 - 3)\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g**2 - 1295*g - 10418. Determine q(-8).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 33? (a) -1\/2 (b) -64 (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1124622, 2250390, 3376174, 4501980, 5627814, 6753682, 7879590?\nAnswer: 9005544","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 83*v - 28. Let b be l(6). Let h = b + -285. What are the prime factors of h?\nAnswer: 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = 2*p + 5*g - 44, 3*p + 3*g - 156 = 0. Suppose 0 = -3*v + 53*x - p*x + 320, -2*x - 526 = -5*v. Does 10 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28956189 is divided by 2570?\nAnswer: 2569","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -5*q + 2. Let o be (-32)\/(-24)*(-6)\/4. Let c be p(o). Find u, given that -8 + 5 - c*u**2 + 0 - 15*u = 0.\nAnswer: -1, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 18\/24 - 25\/(-20). Suppose h*z - 89 = -49. Solve 0 = -2*n - 2*u + 4*u, z = -4*n - u for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1436.2 - 1436.199986293. Round n to seven decimal places.\nAnswer: 0.0000137","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 15*j - 147. Let l be q(-25). Let h be ((-38)\/6)\/(29\/l). What is the greatest common divisor of h and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -60, -103, -116, -93, -28, 85, 252?\nAnswer: 479","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 5) to base 16\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -190985*q**2. Let u(d) = d. Calculate u(c(o)).\nAnswer: -190985*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x**2 + 9*x - 14. Suppose 37*b - 228 = -6. Determine o(b).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -278 divided by -478697?\nAnswer: 278\/478697","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*h - 708 = -108. What is the remainder when 158 is divided by h?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 614 and 1.6?\nAnswer: 612.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (1 - 1) + -4 + 8\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f, 1 b, and 1 r when three letters picked without replacement from fbxrbggbgr?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 1\/4, -4\/3, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the second derivative of h**4\/12 + 13*h. Let s(k) = 9*k. What is r(s(z))?\nAnswer: 81*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 33480.94ug to milligrams.\nAnswer: 33.48094","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 68 divide 196733445?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -25*a - 87*a**2 + 9*a + 88*a**2 - 30*a + 1 as d + i*a + y*a**2 and give i.\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -94309030*l*x - 4588*x + 34846 wrt l?\nAnswer: -94309030*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 1\/5 (b) -2 (c) 268 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-27)\/6)\/((-210)\/(-35))*16\/270.\nAnswer: -2\/45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.3240749 to zero dps.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 5007980 to the power of 1\/2, to the nearest integer?\nAnswer: 2238","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8 and 831338.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 20 - 17. Let l = 0.05 + -0.07. Sort l, -2\/9, h.\nAnswer: -2\/9, l, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 52\/5 of a litre?\nAnswer: 10400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 31.01 in 0.02, -10, 1, 15, -3?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.43102 to three decimal places.\nAnswer: -0.431","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-132)\/8)\/(-3 + 228\/80)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27\/62665 greater than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 9*n - 1354. Give m(77).\nAnswer: -661","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4173184044 rounded to two decimal places?\nAnswer: 0.42","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 18.03 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((n*(n\/(n\/n**(2\/11)))\/n)**22)**(-3))**47)**(4\/17) assuming n is positive.\nAnswer: n**(-2256\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that 0 + 3\/7*w**2 + 3\/7*w = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y**2 + y + 5. Let g be k(0). Suppose 3*n + g - 2 = 0. Find the common denominator of (n\/12)\/(6\/1284) and -37\/10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -s. Let x(g) = -25*g - 2. Let n(d) = 5*b(d) + x(d). Determine n(1).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (235\/50 - 5)\/((4032\/2860)\/7) and -61\/192.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 17, -49, 0.4, 0.2, -0.06, -0.5 in decreasing order.\nAnswer: 17, 0.4, 0.2, -0.06, -0.5, -49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 32 + 72 = 0. Suppose n*x - 5*x = 528. What is the greatest common divisor of x and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 28278 times -0.4\nAnswer: -11311.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that 4*s**3 + 884*s**2\/3 - 296*s\/3 = 0.\nAnswer: -74, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -14302, -56814, -127676, -226894, -354474, -510422, -694744?\nAnswer: -907446","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:26 AM and 12:42 PM?\nAnswer: 376","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that -t**2\/6 + 65*t\/2 + 98\/3 = 0.\nAnswer: -1, 196","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is q in 43*q**4 + 9*q**3 - 1170*q**2 - 2384*q - 1248 = 0?\nAnswer: -4, -52\/43, -1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhbb. Give prob of picking 1 b and 1 h.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 822 and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -3*x - 8. Suppose -29 = -5*o + 2*p + p, -4*p = 2*o + 4. Calculate the lowest common multiple of z(-8) and o.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -313*h**3 + 111*h**3 - 226*h**3.\nAnswer: -428*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4991 and 84.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n**3 + 8*n**2 - 11*n + 6. Let l be w(6). Suppose l*h - 45 + 189 = 0. Let v be (11 + -6)\/(-15)*1*h. Solve 0 = v*a + a + 5 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by 225?\nAnswer: -1\/45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.001298507 to five decimal places.\nAnswer: 0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (16 - 13*b - 16)*(-4*b + 2*b + b) + (3 + b - 3)*(2*b - 2*b - 11*b).\nAnswer: 2*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -11125*d**2*p**4 - 5*d**2*p**3 + 24*d**2*p - 3*d**2 - d*p**2 wrt p.\nAnswer: -267000*d**2*p - 30*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 587, 5, -4 in descending order.\nAnswer: 587, 5, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:09 AM and 8:27 PM?\nAnswer: 618","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.3 and -5.4.\nAnswer: 1.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 16*i**2 - 8*i + 24. Let q(g) = g - 3. Let j(z) = o(z) + 8*q(z). Let h(d) = -3*d + 4*d + 0*d. Determine h(j(u)).\nAnswer: 16*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the second derivative of -23*v + 0*v**5 - 8*v**2 + 0*v**4 - 1\/6*v**6 + 0*v**3 + 0. What is the first derivative of o(m) wrt m?\nAnswer: -20*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4738 is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**4\/9 - 28*m**3\/9 - 182*m**2\/9 - 152*m\/9.\nAnswer: 2*m*(m - 19)*(m + 1)*(m + 4)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1308 and 37702446?\nAnswer: 654","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the first derivative of -b**4\/4 + 3*b**3 - 3*b**2\/2 - 3*b - 507. Give l(8).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 + 2 + 4 - 77*p + 10*p - 5 to the form u + y*p and give u.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + b = 2*q - 6, 2*q + 4*b + 22 = 0. Calculate the common denominator of 53\/12 and 74\/(-44)*q + 3.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2\/(-8)*-6)\/(126\/(-336)). Let r(s) = 339*s + 5. Let o(w) = -w + 1. Let t(g) = 2*o(g) - r(g). Is t(x) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 minutes after 9:11 PM?\nAnswer: 9:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5 + -10. Let y be (-21)\/k*-2*20\/(-8). Let s be (0 + 1)\/((-3)\/(-24)). Solve -5*b = s + y for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*s**2 - 8 + 8)*(15967 - 10307 + 14647) in the form l*s**2 + p + t*s and give l.\nAnswer: 60921","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -12\/15517 and -52\/789.\nAnswer: 46551","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -5*i**2 + 3*i - 3. What is h(3)?\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*o**2 + 335*o - 48 = 0 for o.\nAnswer: -48, 1\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*q + 28*q + 1 = 4*t, 5*q = 4*t + 1 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.03? (a) -0.5 (b) 9182.8 (c) -1.5 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 186189?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4886595.\nAnswer: 3, 5, 7, 5171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 4440 to the power of 1\/2, to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-5*1*sqrt(17) + sqrt(17))*-5.\nAnswer: 100*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.2 - 1.8. Let f = -1621 + 1599. Let n = 5 + -4.5. Which is the biggest value? (a) f (b) q (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -18*b**2 - 7*b - 13. Let x be g(-4). Let w = 451 + x. Calculate the remainder when w is divided by 45.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -5761, -5834, -6015, -6358, -6917, -7746?\n\"Answer: -9*g**3 - 10*g - 5742","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -6*t**2 + 5012*t + 45590. What is f(-9)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 4*q - 5. Let m(g) = -g - 1 + 0 + 2. Let b(y) = -15*m(y) - 3*p(y). Let a(o) = -2*o**2 + 4*o**2 - 4*o**2. Give b(a(t)).\nAnswer: -6*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8757656, 35030603, 78818848, 140122391, 218941232?\nAnswer: 315275371","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 383c + -6?\nAnswer: 3836","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -47 (base 16) in base 8?\nAnswer: -107","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 77*u**2 - 205 wrt u?\nAnswer: 154*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12\/63)\/((576\/(-560))\/6).\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in seven quarters of a day?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -2381*o**2. Let q(r) = 183*r**2. Calculate a(q(b)).\nAnswer: -79737309*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x - l = -8, 0 = 4*x - 5*x - 4*l - 12 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = -5*r - 113 + 6, -4*x - 249 = 3*r. Let k = -1 - x. What is k rounded to the nearest 10?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 10 + -17. Let s be 8\/(-2) - (f - 3). Suppose m - s*m = -425. What is the units digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 17? (a) -4 (b) -0.6 (c) 3\/4 (d) -95 (e) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 46, 60, 84, 118, 162, 216?\n\"Answer: 5*j**2 - j + 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2108 by 68.\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -3*s + 4. Suppose 3*l - 3*n = 7 - 22, -2*n + 4 = -l. Put s, -2, l, -1 in increasing order.\nAnswer: l, s, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 35980.9982407 - 35981. Round u to 5 decimal places.\nAnswer: -0.00176","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -70*i + 3. Let u(b) = -72*b + 4. Give 6*j(k) - 5*u(k).\nAnswer: -60*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 3*h + 27 = 0, -6*h - 21 = -5*z - 5*h. Suppose -2*c = x - 2 - 2, 3*x = -z*c + 9. Solve g - c*g + 4 = 0 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 101704 to the power of 1\/3, to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -6111 equal to -6110?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ooo when three letters picked without replacement from {o: 7}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = -5*c, c = 2*t + 2*t. Let f(j) be the first derivative of 1\/2*j**2 + 2 - 2*j**3 + c*j. Find the second derivative of f(d) wrt d.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23 - 7*l - 13*l - 23 + 7*l.\nAnswer: -13*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) -2\/7 (b) 0 (c) -2\/513 (d) 50\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-11 - 57)\/(-1 + -1). What is the greatest common factor of y and 646?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:04 PM and 7:24 PM?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + 3 + 2 + -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 divided by 94019?\nAnswer: -8\/94019","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 167961 to the power of 1\/2, to the nearest integer?\nAnswer: 410","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2 (b) -2 (c) -4 (d) -81.25 (e) 0.11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (0 - -1) + 1 + (366 - 359)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 32 - 56\/(-84)*-30?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in -5, -1\/2, 4\/15?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/(-1296)*-72)\/(542\/24).\nAnswer: -2\/271","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 7635618667 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0*1*(-3)\/6. Let g = 18 + -15. Let i(c) = -6 + c**2 - 1 - 4 + c**g. Give i(m).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(350)\/sqrt(448) + sqrt(200)\/sqrt(324) + sqrt(50).\nAnswer: 445*sqrt(2)\/72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k. Let f(b) be the first derivative of -25\/24*b**4 + 0*b - 5 + 0*b**3 + b**2. Let t(m) be the second derivative of f(m). Calculate y(t(l)).\nAnswer: -25*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 79143.\nAnswer: 3, 23, 31, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p**3 - 3*p**2 + 21*p + 35. Calculate z(4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-2)*z*z)**(-19\/4)\/(z\/(z\/z**(-2)))**(15\/2) assuming z is positive.\nAnswer: z**15","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 181 minutes before 5:27 PM?\nAnswer: 2:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1145 - 1930. Let u = 470 - t. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*p + 54 = 39*p. Put p, 1\/2, 0.2, -2 in decreasing order.\nAnswer: p, 1\/2, 0.2, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fffiraiariffrfriarf. Give prob of picking 1 a and 1 f.\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -3344995, -6689979, -10034963, -13379947?\n\"Answer: -3344984*r - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 7 + 0)*(-22*w**5 - 17*w**5 - 3 + 3).\nAnswer: 312*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f**3 - 128*f**2 - 236*f - 30198. Give d(-128).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 28*x - 24*x - 8. Find i, given that 1\/2*i**4 + 0*i - 1\/2*i**x - 3\/4*i**3 + 0 + 3\/4*i**5 = 0.\nAnswer: -1, -2\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.56696913 - -1.921756\nAnswer: 2.48872513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -17.9 - -16.7. Let a = g - -0.8. Sort 0.5, a, 1\/7.\nAnswer: a, 1\/7, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j*j*j**(-1\/5))**(-1\/13)*j**2\/(j\/j**(3\/17)) assuming j is positive.\nAnswer: j**(1062\/1105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -29076, -232538, -784800, -1860264, -3633332, -6278406, -9969888?\nAnswer: -14882180","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = -671 + 677. What is the second derivative of 120 - 120 - l*s**3 + 86*s - 22*s**2 + 46*s wrt s?\nAnswer: -18*s - 44","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 63289265196 + -0.176?\nAnswer: 63289265195.824","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 times 0.195184?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (-3 + -6*(sqrt(3) - (1 + sqrt(3))) - (5*sqrt(6)\/sqrt(2) + 1))*4)*-5.\nAnswer: -15 + 100*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (60*c**3 + 97*c**3 - 23*c**3)*(-1 - 5 - 4) - 54*c**3 - 6*c**3 + 16*c**3.\nAnswer: -1384*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -560*f*v**3 - v**3 - 488 wrt f?\nAnswer: -560*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 61\/168 and 82*(-7)\/168 + -9.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1417935, -2835852, -4253753, -5671632, -7089483, -8507300, -9925077?\n\"Answer: r**3 + 2*r**2 - 1417930*r - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Put -7, 11, 699, -16, -9 in descending order.\nAnswer: 699, 11, -7, -9, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y**3 + 3*y**2 + 5*y + 257. Calculate the remainder when 334 is divided by o(-7).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a microgram in nanograms?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 114, 235, 358, 483, 610, 739?\nAnswer: 870","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -2*f**2 - 207. Let m(u) = u**2. Determine m(v(w)).\nAnswer: 4*w**4 + 828*w**2 + 42849","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is (214 + -216)\/(4\/(-498034)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 104*y - 286*y - 12*y**2 + 9*y**2 + 2132*y - 316875.\nAnswer: -3*(y - 325)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is m in -m**5\/2 + 47*m**4\/2 + 147*m**3\/2 + 149*m**2\/2 + 25*m = 0?\nAnswer: -1, 0, 50","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -339 + 337.09. Round b to 1 decimal place.\nAnswer: -1.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5 + 5 + 2*h**4 - 2*h**4 + 7*h - 7*h + (-4*h**2 + 5*h**2 - 3*h**2)*(-2 + h**2 + 2) + (h**3 - h**3 + h**3)*(3*h - 1 + 1).\nAnswer: h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 3 + -5 - -3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 7 - 24 = -a, -2*g = -8. Let s be (-35)\/2*52\/(-65). Let h be (-6)\/s - (-6)\/14. Solve 3*p = -h*p - a for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x - 6*g = -9*g + 8, 5*x + 2*g + 10 = 0 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 74 and 6290.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 4 + 13 = 0, -4*j + 4*f = -120. Let s = -10 + j. Calculate the highest common divisor of 119 and s.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 13438?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-252)\/54*(2 + (-40)\/14). Let i(y) = y**2 - 13*y - 38. Let u be i(-6). Let t = -60 + u. Solve 0*q - t = p*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 1021 = -151. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -46.56 + 46.4. What is the smallest value in -0.021, -4\/3, t?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/3*(2 - -1). Suppose b + 9 = -n*o + 34, 0 = -5*o - 4*b + 58. Let j = 8 + o. Does 10 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*i + 39*i = -91. Calculate the highest common factor of i and 117.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/39*(-9)\/24*2?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 7540 and 4524.\nAnswer: 22620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f**2 - 13*f - 18. Let u be y(-11). Solve -4*n + 32 = u*h, -4*h = 5*n - 2*n - 28 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = 3*p + 2*m - 10, p + 11 = 5*m. Sort p, -2, 1, -1 in descending order.\nAnswer: p, 1, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 27 - 46. Suppose 2*i = 5*q, 3*i - 5*q + q = 14. Let f = r + i. Round f to 0 decimal places.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -174 + 195 + 449 = -94*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 74100 and 247.\nAnswer: 247","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 3*p + 19 + 0*p - 25. Calculate m(4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0 + (-114)\/24 + 1\/(-4). Sort s, -1, 11.\nAnswer: s, -1, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -19*b - 3. Give p(-2).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + 0 + (-188 - -165)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 2*n = -82 - 67, 3*w = -2*n - 451. Let k = w - -151. Sort 5, -2, k in descending order.\nAnswer: 5, k, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = 3*i. Let a = 6347 + -50713\/8. Find the common denominator of -1 - 55\/8 - i and a.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*k + 6*k = 13*k - 45. Let r(x) be the second derivative of -2*x**3\/3 - x**2\/2 - 4*x. What is r(k)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22\/6*(-312)\/(-88).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 400*j**3*m - 7*j**3 - j**2*m**2 - 3*j*m**2 - j + 1860*m - 2 wrt j?\nAnswer: 2400*j*m - 42*j - 2*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2 - -8. Suppose v = n*v. Which is bigger: 3\/10 or v?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 n when two letters picked without replacement from {m: 4, s: 1, n: 2}?\nAnswer: 8\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 20518398007 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 46, -1, 1, -2, -594486.\nAnswer: -594486, -2, -1, 1, 46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 26261163?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 8*p**4*s**3 + 4*p**3*s**3 + 5*p**2*s**3 - 2*p*s**3 wrt p.\nAnswer: 192*p*s**3 + 24*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 11514 a multiple of 57?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -24 - 1?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1533445303 - -2?\nAnswer: -1533445301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z. Suppose 0 = -5*q + 2*h - 4*h + 15, q - 2*h - 15 = 0. Determine a(q).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 120923519 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -105 less than -116?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 2*c**2 + 8*c - 3. What is r(-4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*d**2 + 0*d**2 + 2*d**4 + (3*d + 103*d - 44*d)*(-d**2 + 2*d**3 + d**2) - 21*d**4 - 35*d**4 + 13*d**4.\nAnswer: 83*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3062 is divided by 219?\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-31)*a*a**(-11))\/(a*a*a*a*a*a**(-17)*a*a*a\/(a\/(a*a**(4\/23)*a*a*a*a*a))*a) assuming a is positive.\nAnswer: a**(-878\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 3*h - 2 = 0, 2*r - 2 = -2*r + 2*h. What is the greatest common divisor of 6 and r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k + 3*k - 6*k + 3*k. Let g(m) = -18*m**2. Calculate g(b(f)).\nAnswer: -18*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-10)\/(-4) - 3)*1. Let v = 888\/5 + -177. Sort -5, l, v in ascending order.\nAnswer: -5, l, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1938*x - 2605*x + 22011 for x.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.89 + 1.11. Let c be 5\/(-24) - 5\/30. Sort x, c, 7 in ascending order.\nAnswer: c, x, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 135520 - -5?\nAnswer: 135525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 96 and 168.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4)\/((-3 + 2)\/1). Suppose h - 650 = -m*h. What is the common denominator of 29\/20 and h\/(-112) + 10\/35?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -18885 - -18903. Solve -7*a = -11*a + 3*b - h, 5 = a + 4*b for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 398468 - 6773920\/17. Factor h*d - 2 - 2\/17*d**2.\nAnswer: -2*(d - 17)*(d - 1)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9 by 18390.\nAnswer: -3\/6130","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (52\/(-18) - -4)*(-210)\/350. Which is the nearest to -7\/6? (a) 2\/9 (b) -0.1 (c) h (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*m = 8*m + 797. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s**2 + 3*s - 2. Let k be (24\/(-20))\/((-3)\/(-10)). Let q be j(k). Let m(z) = -z - 1. Let f(l) = 9*l + 6. Let w(o) = 2*f(o) + 14*m(o). Calculate w(q).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 665267125.\nAnswer: 5, 131, 40627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12\/(216\/171)*(-276)\/(-483)*7\/10.\nAnswer: 19\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a + a - 4*c - 108 = -7*a, 5*a - 157*c + 68 = -161*c for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -98*m + 1064 = -42*m for m.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-561)\/(-198))\/(595\/980).\nAnswer: 14\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l**2 + l + 1149. Let f be s(0). Suppose 0*h - 5*y - 1583 = 2*h, -4*y = 4*h + 3160. Let x = h + f. Round x to the nearest ten.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 2, b: 10}. What is prob of picking 2 b?\nAnswer: 15\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5725 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -42*y**3 + 3*y - 3*y + 93*y**3 - 48*y**3.\nAnswer: 3*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -416 divided by -52.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1119289032 minus -1.44?\nAnswer: 1119289033.44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-10)\/(-15) + 10\/3. Differentiate -4*y - j*y - 7 - y with respect to y.\nAnswer: -9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cccc when four letters picked without replacement from {c: 9}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -58.51 rounded to the nearest ten?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35 is divided by (-172)\/(-14) - 30\/105?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4289527\/85 - 349823687\/765. Let o = i - -506383. Let c = 1375 + o. Calculate the common denominator of c and -8\/7.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 409650 divided by 3?\nAnswer: 136550","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 88 a factor of 2024?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g + 13. Let t be y(6). Let w = -11 + t. What is the lowest common multiple of w and 2?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-10)\/(-3))\/((-2)\/(-12)). Let h be -5*((-42)\/10)\/7. Suppose o + h*o - y = 0. Solve -2*d + o = -7*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -78 + 157. Calculate the remainder when u is divided by 23.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 279.9931 (b) 0 (c) 8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -65 - -342?\nAnswer: 277","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30717.\nAnswer: 3, 3413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(1\/2))**(-14\/11)\/(t**(-2\/5)*t**(1\/2)) assuming t is positive.\nAnswer: t**(-81\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36.6*891.\nAnswer: 32610.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 392371125 is divided by 1368.\nAnswer: 1365","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -69\/2 and -101\/134?\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 34\/101 and 93\/20?\nAnswer: 2020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.10656 + -2.10656. Which is greater: -19\/28 or u?\nAnswer: -19\/28","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 17 = a - 2*c, 2*a + 2*c - 38 = 0. Let h = -10 + a. List the prime factors of h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 662 minutes after 5:09 PM?\nAnswer: 4:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 115 - -32?\nAnswer: 151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1676 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22036*x + 7339*x + 7353*x + 7341*x.\nAnswer: -3*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 1\/9, -2\/3, 4, -2?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 163\/7 - 8\/28. Suppose -45 = -4*b + z. What are the prime factors of b?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 10 - 14. Let b = 6 + -1. Let x = 5 - b. Sort 0.2, x, r in increasing order.\nAnswer: r, x, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -27*i**4 - 26*i**4 - 2 - i**3 - 2*i**2 - i**3 + 54*i**4 as k + o*i**3 + h*i**4 + z*i**2 + n*i and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 336 + -350.26. Let b = 28.26 + p. Let o = -0.1 + -2.9. Is o smaller than b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -32465.221235 - 1.045.\nAnswer: -32466.266235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -3327030 rounded to the nearest one hundred thousand?\nAnswer: -3300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 521 divide 11720416?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3 - -1. Let h be (-12)\/(-4) - 6\/t. Sort 3, h, -0.4.\nAnswer: -0.4, h, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e when two letters picked without replacement from {j: 4, o: 1, e: 3}.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-9856)\/2640*((-225)\/(-30))\/(-1)\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 88 by -4.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + g = 786. Let t = -87 - g. What is the second derivative of -15*m**3 + t*m - 190*m + 3*m**3 wrt m?\nAnswer: -72*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = 3*n, 0 = -3*i - 2*n - n - 6. Let t = 0.3 - 0.2. Let c = 20.794 + -20.794. Sort 2, t, i, c.\nAnswer: i, c, t, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7*j**3 - 17*j**3 + 35*j**2 - 5*j**3 + 2*j**3 wrt j.\nAnswer: -162","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -22395020 to the nearest 1000000.\nAnswer: -22000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 + (-7 - -20) + (27 - 20).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/3419 or 64?\nAnswer: 2\/3419","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 284, -3, 1\/5, 1\/3 in decreasing order.\nAnswer: 284, 1\/3, 1\/5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(-5)*-11)\/(37\/3700*-20)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -55*m - 7. Let s(p) = -2*p - 2. Determine 2*s(i) - t(i).\nAnswer: 51*i + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the second derivative of -s**6\/210 + s**4\/42 - s**2\/14 - 20*s. Factor n(b).\nAnswer: -(b - 1)**2*(b + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in p + 6*p - 4*p.\nAnswer: 3*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2, -0.97, 74?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.62101969 + -1.59402. Let c = -0.027 + o. Round c to seven decimal places.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 10 = 3*x, 2*x - 4*x = 0. What is the second derivative of -75*j**2 - 42*j**3 + 13*j + 75*j**a wrt j?\nAnswer: -252*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -13*y + 246. What is b(19)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.824 or 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1332\/(-2079) + (-2)\/(-21).\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -1032 - 0.796\nAnswer: -1032.796","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 222*d**3 + 706*d**3 + 472*d**3.\nAnswer: 1400*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*v - 20. Solve -5*k - v = -k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1d6 - -50?\nAnswer: 226","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_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: -7230677753610 - -0.3\nAnswer: -7230677753609.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 >= 846?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 + 6071*h**3 - 8 - 6198*h**3)*(12 - 8 + 10) in the form d*h + m*h**2 + w*h**3 + k and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = -2*d - 63, -4*l + 4*d + 25 = -23. Let h(r) = -9*r**2 + 2*r. Let v be h(2). Let o = v + 57. What is the remainder when o is divided by l?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -567680 to the nearest one hundred thousand.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-2\/19)*i\/(i**6\/i))**(2\/81)\/(((i\/(i\/i**0))\/i*i)**(4\/5))**24 assuming i is positive.\nAnswer: i**(-52\/513)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p**3 - 7*p**2 - 18*p + 3. Let v be u(9). Suppose 0 = -v*r + 15, 0 = -3*y + 5*r - 0 - 10. Solve 0 = 2*m - m + y, -5*m = -5*a + 15 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 (base 15) in base 6?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -111435052 - -2214?\nAnswer: -111432434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -51282 divided by 1554\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000320876585 rounded to 6 dps?\nAnswer: -0.000032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 36307?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10 - 2222001120002?\nAnswer: -2222001112222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 59699 = -h + 299547, 4*b = -2*h + 191882. What is the units digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 72272 is divided by 18057?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*j = -4*j - 85 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + -6*5*(-1 + sqrt(432) + sqrt(432) + -5 + 2*sqrt(432)*5)*-6)**2.\nAnswer: -55987200*sqrt(3) + 2016705600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -23*h**3 + 5*h**2 + 57*h.\nAnswer: -138","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -80 (b) 0.05 (c) -1\/6 (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -45\/26 and -1\/1330?\nAnswer: 17290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3\/24 + 2\/(-16). Suppose -6*k + 120 = -a*k. What are the prime factors of (150\/(-12))\/((-2)\/k) - -1?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -100 (base 10) to base 14\nAnswer: -72","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 359041 is divided by 358980.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1087965\/504608 + 3\/15769. Let x be ((-5)\/33)\/(6\/3357). Let o = 85 + x. Calculate the common denominator of o and y.\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 39881406 + -3?\nAnswer: 39881403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -1253 (base 7) to base 13\nAnswer: -2ab","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 32.9 * 0.5.\nAnswer: 16.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47*m - 70*p + 72*p - 281 = 0, -4*m + 66 = 2*p for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24 = -4*n - 5*m + 7, -8 = -5*n + 4*m for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 159765582 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sum -666524239.2 and 5.\nAnswer: -666524234.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 96 minutes before 4:35 AM?\nAnswer: 2:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 103518875.\nAnswer: 5, 173, 4787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/(-12)*32\/(-220)*10. Which is the closest to 1? (a) -0.3 (b) f (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 257643570.\nAnswer: 2, 3, 5, 137, 62687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jvb when three letters picked without replacement from mjlbmmjlbbvbnllmmlbl?\nAnswer: 1\/684","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 20*i**2 - i + 4. Let u(m) = -40*m**2 + 32*m - 11. Let f(t) = -60*t**2 + 45*t - 16. Let z(v) = -5*f(v) + 7*u(v). Determine 3*b(r) - 4*z(r).\nAnswer: -20*r**2 + r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 24*b**2 - 2244*b - 649. Calculate q(93).\nAnswer: -1765","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -137*m**3 - 307 - 311 + 930 - 309.\nAnswer: -137*m**3 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:21 PM and 1:05 AM?\nAnswer: 344","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 14*q + 3. Let j be f(3). Suppose 4*p - 23 = j. What is the units digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 184091254?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 165343 (base 7) to base 2.\nAnswer: 1000000101010010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u**2 + 16*u + 21. Let k = -5 - -22. Let g be a(k). Let p be 6 - (2 + 0\/3). Solve -p*z + z = -4*j - 4, g*z = 2*j + 2 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -12 - -17. Let l(b) = -2*b**2 + b**3 - 6 + 4*b + f*b**2 + 3*b**2. Suppose 2*y + 15 - 5 = 0. What is l(y)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 84*a + 135. Let i(t) = -18*t + 4. Let y(n) = -10*i(n) - 2*w(n). Let v(q) = 2*q**2. Determine y(v(o)).\nAnswer: 24*o**2 - 310","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -15963 + 15966. Factor -2\/7*g + 3\/7*g**2 + 0 - 1\/7*g**l.\nAnswer: -g*(g - 2)*(g - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -38*f + 1037. Calculate the least common multiple of 77 and r(-16).\nAnswer: 18095","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the third derivative of 0 + 13\/12*i**4 + 2\/3*i**3 + 21*i**2 - 4*i + 52\/15*i**5. What is the second derivative of c(o) wrt o?\nAnswer: 416","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange p**4 - 2*p**4 + p**2 - p**4 - 448633 + 448634 + p**2 + p**3 + 114*p to the form i*p + g*p**2 + n*p**4 + b*p**3 + s and give i.\nAnswer: 114","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 22193300 greater than 22193300?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -159*q**3 + 3*q**2 + 2. Let c(f) = 630*f**3 - 13*f**2 - 9. Give -4*c(d) - 18*h(d).\nAnswer: 342*d**3 - 2*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 1 + 0)*(-2*v**2 - 2*v**2 + 2*v**2)*((1 + 1 - 1)*(15 - 10 - 12) + 0 + 0 - 2).\nAnswer: -36*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -49 - -57. Let x(n) = -3*n**2 + 9*n - 8. Let p(i) = -i**2 + 3*i - 3. Let w(l) = -8*p(l) + 3*x(l). Let j be w(2). Solve 0*o + j*o - y = 0 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 439269 or 440822?\nAnswer: 440822","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 426 is divided by 42.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 minutes after 4:32 PM?\nAnswer: 5:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 687 is divided by 51?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the first derivative of t**4\/6 + 13*t**3\/3 - 219*t - 566. Let a(h) be the first derivative of f(h). Let y(z) = -z + 0*z + 3*z. Determine a(y(v)).\nAnswer: 8*v**2 + 52*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - (-7 + 14 + -8) - 9.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, 0, -421, 398 in ascending order.\nAnswer: -421, -10, 0, 398","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -163*h = 68*h - 924 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-200 - (19 + -237)) + (-92 - -1).\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -5*c + 9. Suppose 3*g - 37 = -g + 3*w, -15 = c*w. What is the units digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 38977, 77956, 116935, 155914?\nAnswer: 194893","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 14*l + 45. Determine w(6).\nAnswer: 129","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the second derivative of l**6\/5 + 17*l**3\/6 + 8*l. What is the second derivative of s(b) wrt b?\nAnswer: 72*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p + 1295*b - 12 = 1296*b, 5*p = -4*b - 3 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 28\/(-21)*3 - -9. Suppose -3*n - 2*t + 22 = 0, -s*t + 0*t + 41 = 4*n. What is the remainder when 47 is divided by n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3870774721.\nAnswer: 11, 37, 9510503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11101000000 + 11011101010?\nAnswer: 111000101010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = -5*i, 41 = -4*i + 2*l + 11. Sort 8, i, -17 in decreasing order.\nAnswer: 8, i, -17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by -26132702?\nAnswer: 5\/26132702","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -9*k**3 + 8*k**2 - 3*k + 13. Let u(q) = 2*q**3 - 3*q**2 - 1. Calculate l(s) + 6*u(s).\nAnswer: 3*s**3 - 10*s**2 - 3*s + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55*f - 17*f = -1284665 + 228065. List the prime factors of f.\nAnswer: 5, 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m**3 - 7*m**2 - 1. Let f be y(-7). Let l be -3 + (-4)\/f + 3. Solve -3*h = -o + 4*o + 12, -4*h - 16 = -l*o for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(0 + sqrt(1053) + (sqrt(1053) + 1 + sqrt(1053) - sqrt(1053)))**2.\nAnswer: -21065 - 180*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14314 = -1496*m - 81634 for m.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/21 in 0.4, -2\/5, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(304)*3)**2 - (5 + (sqrt(304)*-2 + sqrt(304))**2)) + -3 + -4.\nAnswer: -11260","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2615 + 4?\nAnswer: 2619","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 500250 is divided by 387?\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8619599 by -122.\nAnswer: 8619599\/122","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n = 7*n - 16 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that 3*t**3\/8 + 135*t**2 + 11517*t\/8 = 0.\nAnswer: -349, -11, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 84*(257 + -237 + 882\/(-44)).\nAnswer: -42\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -80.1 rounded to the nearest ten?\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/15, 3, -207, 0.5 in ascending order.\nAnswer: -207, 2\/15, 0.5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:16 PM and 4:16 PM?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + -17 - (-29 - -20).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, q: 1, n: 1, r: 1, w: 1, m: 2}. Give prob of picking 2 m.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f + 11. Let v be w(3). Suppose 12*j - 748 = v*j. What is the hundreds digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8539578 - -5869996. Let y be (-9)\/(-3) + -5969585 - 0. Let i = q - y. Round i to the nearest 1000000.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is k in 8*k**4\/9 + 20461162*k**3\/9 - 35807054*k**2\/9 + 10230590*k\/9 + 568366 = 0?\nAnswer: -2557647, -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5 + 13. Suppose -3*g + 4*v + 32 = 0, -4*v = 10 + 10. Calculate the greatest common factor of h and g.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9, 21, 41, 69?\nAnswer: 105","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 627 minutes before 1:08 AM?\nAnswer: 2:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 9*b**3 - b**2 - 9*b - 4. Let n(s) = -22*s**3 + 2*s**2 + 22*s + 10. Calculate -5*n(i) - 12*x(i).\nAnswer: 2*i**3 + 2*i**2 - 2*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 4*k + 12. Let a be p(3). Suppose -2*j - 19*l = -a*l - 453, -689 = -3*j - 2*l. What is the hundreds digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in one tenth of a decade?\nAnswer: 1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g**2\/7 - 18*g + 680\/7 = 0 for g.\nAnswer: -68, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:42 AM and 1:34 PM?\nAnswer: 472","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2687 + 2688. What is the nearest to -1 in -1, -2\/13, 5, l?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5*-1486630\nAnswer: -7433150","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 19258500 to the nearest 1000000.\nAnswer: 19000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.1, -2, 2\/19, 1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*c = 10*c + 10*c + 6*c - 294 for c.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.001361946426 to four decimal places.\nAnswer: 0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -8, -64, -154, -272, -412?\n\"Answer: y**3 - 23*y**2 + 6*y + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m + 4*j = 8*m + 4, 8 = -8*m + 2*j for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4347.532 weeks to hours.\nAnswer: 730385.376","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -1 (b) -4 (c) -1\/15 (d) 12 (e) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 765 is divided by 151?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*i**3*p**6 + 664*i**3*p**2 + i**3 - 2*i - 296*p**6 wrt p?\nAnswer: 240*i**3*p**3 - 35520*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2091987*d**3 - 2*d**2 + 1045752*d**3 + 1046033*d**3.\nAnswer: -202*d**3 - 2*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 374 minutes before 2:53 PM?\nAnswer: 8:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 2*p = -r - 380, 3*r - 4*p - 573 = 0. What is the units digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1203598140 to the nearest integer?\nAnswer: 34693","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*q - q + 3*q - 3*q + 6*q - q + (0*q - 5*q - 4*q)*(0 + 2 - 1) to the form f*q + z and give f.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -88627, -177240, -265843, -354436, -443019, -531592?\n\"Answer: 5*v**2 - 88628*v - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 7457863 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (2 - 7) + (-21 - -30)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 a when three letters picked without replacement from {h: 3, a: 10, n: 2}.\nAnswer: 24\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -32 - -46. Let p = 44 + n. What is the units digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 25176977 and 1414.\nAnswer: 707","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 119 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -24*i + 199. Let q be r(8). Solve q*z = k + 3*z + 12, 5*z - 40 = -5*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7403530?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*t - 18*t + 78 = 0. Is t a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -440*o - 5731. Calculate u(-13).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*s**4 - s**2 + 9*s**4 - 3*s**4 - 2*s as z*s**2 + i*s**3 + x*s**4 + w*s + a and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 280 and 271879650.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 12971.4912us?\nAnswer: 0.000000150133","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -42 - -43. Let u be (-2*p\/2)\/((-1)\/180). Suppose 2*o = -4*o + u. What is the greatest common divisor of o and 45?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7553666 divided by -106.\nAnswer: 71261","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5 + 5. Let p(z) = 2*z + 158. Let n be p(16). Calculate the highest common divisor of n and i.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 4*b. Let o(r) = -2*r + 7*r - 2 - 5. Let q(p) = 2*p - 3. Let z(y) = -y**2 - 3*y + 3. Let t be z(-5). Let j(v) = t*q(v) + 3*o(v). Give f(j(m)).\nAnswer: 4*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at least 1\/222?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that 718*j**2 + 722*j + 4 = 0.\nAnswer: -1, -2\/359","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 7772.6 centuries in millennia?\nAnswer: 777.26","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -39 or 2\/5889?\nAnswer: -39","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-1)*z)**(38\/5)\/(z**(2\/33)\/(z*(z*z**(-7\/3)*z)\/z)) assuming z is positive.\nAnswer: z**(-13\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 4 = 2*i. Let b be (30\/25)\/(-3) + 4408\/20. Suppose -a - 4*a = -b. What is the greatest common divisor of i and a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 + 5 = 5*l - 5*r, 0 = -4*l + 2*r + 28. Suppose -40 = -l*q + 167. Is q even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1200)\/10*8\/(-24)*(-15)\/12?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -3*s - 16. Let c be z(0). Let l = c + 17. What is the tens digit of (l - -2 - -62)\/1?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4*(77\/(3388\/528))\/((-6)\/(-4))\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 9201.006nm in millimeters?\nAnswer: 0.009201006","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(136) - (sqrt(136) - (2*sqrt(136)*-3 + sqrt(136) - sqrt(136) - sqrt(136))))\/(sqrt(8) + sqrt(96)\/(sqrt(36)\/sqrt(3))).\nAnswer: -7*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 310 minutes before 3:50 AM?\nAnswer: 10:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -22*h**2 - 158*h - 28.\nAnswer: -2*(h + 7)*(11*h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence utuw when four letters picked without replacement from tcuutcccwcuctuccuwcc.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2485044 by 2485044.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(91)\/(-1*2*sqrt(7))*3*5 + -5)**2.\nAnswer: 30*sqrt(13) + 2941\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 40424\/99 + -4494\/11. Let r = -83\/5 - -17. Sort v, r, -1\/7 in descending order.\nAnswer: r, -1\/7, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -26*z**3 - 3*z**4 + 2*z**2 + 27*z**3 + z**2 to l*z**2 + v*z + f*z**3 + d + c*z**4 and give c.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 110861141243 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13 = -10*z - 3 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 180 - 115 = -13*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 (base 8) in base 13?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 21\/64 and 13\/144.\nAnswer: 576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*h + 3*h - 5*h = -12 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-30)\/32)\/((-6)\/(-8))*133\/665.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 340*s - 3354. Let x be u(10). Which is the third smallest value? (a) 0.2 (b) 9 (c) x (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 114487428, 114487427, 114487426?\n\"Answer: -s + 114487429","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 539881 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 560*b - 5328 + 560*b + 556*b - 3125*b**2 - 1675*b + 1255 with respect to b.\nAnswer: -6250*b + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 115 - (-12 - -12)\/11. Calculate the highest common factor of i and 621.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4811 is divided by 336.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*f = -28 + 281. Let h(n) = -5*n + 44. Let r be h(f). Suppose -4*o + r - 63 = 0. What is the greatest common factor of o and 18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -23.65999041 + 23.66. Round u to seven dps.\nAnswer: 0.0000096","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m\/(((m*m**(-2\/65)*m)\/m)\/m)*m*m**(1\/8)\/m assuming m is positive.\nAnswer: m**(601\/520)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 74.3 - 72.3. What is the smallest value in -0.1, 0.6, l, -2\/15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 72 divide 45018127?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that -k**4 - 4226*k**3 - 6691849*k**2 - 4705820040*k - 1239971331600 = 0.\nAnswer: -1108, -1005","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ibdt when four letters picked without replacement from tdihbbvv?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7539361 to the nearest integer?\nAnswer: 196","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3116*7.\nAnswer: 21812","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 12\/2137?\nAnswer: 12\/2137","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000387354 to seven dps.\nAnswer: -0.0000387","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -298718, -1194477, -2687408, -4777511?\n\"Answer: -298586*u**2 - u - 131","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**(-14)*r)**(-1\/69) assuming r is positive.\nAnswer: r**(4\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 71*v**3 - 17*v**2 - v**2 + 251*v**3 - 25*v**2 + 8*v**2 wrt v.\nAnswer: 1932","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 510 * 0.3\nAnswer: 153","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z**2 + 9*z + 3176. What is x(-52)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 1 + 9*z - 5 - 6*z - 1. Let x(h) = -h**2. Calculate x(f(m)).\nAnswer: -9*m**2 + 30*m - 25","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5 + 4.8. Let r be (-1)\/6*(-1)\/((-2)\/8). Which is the nearest to s? (a) -3 (b) 0 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 986, 956, 926, 896, 866, 836?\nAnswer: 806","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -692, -626, -560, -494?\n\"Answer: 66*k - 758","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*o - 202 = -o - 794 for o.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hzzp when four letters picked without replacement from tqqzhzphhqh.\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 813403 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4580469 divided by -27.\nAnswer: -169647","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 1. Let t(b) = b**2 - 12*b + 15. Let l(f) = -3*g(f) + t(f). Let n be l(12). Solve -4*v = -3*c + 2*c - 12, 5*c = -4*v + n for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*r**2 - 22*r**2 - 7*r**2 + 9*r**2 - 17*r**2.\nAnswer: -24*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 3*z**2 + 2*z + 9. Let j be x(6). Suppose -m + 4*c = -j, -2*m - 3*c = -92 - 144. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 3*v + 14045 = 0, v = 5*o - 14630 - 2950. Suppose -4*s + 3520 = -4*h, -2*s + 5*h + o = 2*s. What are the prime factors of s?\nAnswer: 3, 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10 + -1010000100010000101?\nAnswer: -1010000100010000011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-5\/2)\/x**(-2))**(1\/57))**11 assuming x is positive.\nAnswer: x**(-11\/114)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -290 + 290. Let x(t) be the third derivative of o*t + 7\/8*t**4 + 0 + 5*t**2 + 1\/8*t**6 + 1\/70*t**7 + t**3 + 9\/20*t**5. Factor x(w).\nAnswer: 3*(w + 1)**3*(w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (14\/21)\/((-24)\/18)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j - 5. Let f be h(-7). Suppose 0*o - 4*p = -5*o - 427, f*p = -5*o - 439. Let d = o - -196. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h + 8 = 2*r, r + 18 = 12*h - 17 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.1 - 0.4. Let i be 44\/56 - (-4)\/(-14). Suppose w = -v, 3*w + 12 = v + 8*w. Which is the nearest to i? (a) u (b) v (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 15 + (23 - (-43 + 41))?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25870 is divided by 8279.\nAnswer: 1033","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 * 154.24\nAnswer: 61.696","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -58232 + 111326. What are the prime factors of s?\nAnswer: 2, 3, 8849","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -226*t + 86 - 167*t + 319*t with respect to t.\nAnswer: -74","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pzczxmpzz. Give prob of picking 1 z, 1 m, and 1 c.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.031 from 198.5.\nAnswer: 198.469","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 1\/7 (b) 2 (c) 194 (d) -43 (e) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s**3 - 8*s**2 + 4. Let c be l(-8). Suppose 0 = 5*q + 5*t - 3415, -417 = -q - c*t + 275. What is q rounded to the nearest 100?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3\/4 (b) 56 (c) 23886\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -6*q + 748. Calculate y(126).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r**3 + 7*r**2 - 11*r + 14. Calculate the lowest common multiple of z(5) and 7.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5 + 8. Factor 16*y - 120*y**2 - 68*y - 32*y**4 - 62*y**x - 8 - 50*y**3.\nAnswer: -4*(y + 2)*(2*y + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -83*v + 312 + 186. Let g(n) = n**2 - 13*n - 7. Give g(v).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (4 - 11) + 2 + 105\/25. What is the second biggest value in o, 1, 1\/3, -6?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 168 - 150 = 2*q, -x + 171 = -4*q. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((g\/((g\/g**(1\/6))\/g*g)*g)\/g)\/g)\/(g\/((g\/g**(2\/11))\/g)))\/(g*g**(-3)*g**5))\/(g**5*g\/(g**(-1\/2)*g))**(-8\/5) assuming g is positive.\nAnswer: g**(1249\/330)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 44 + -55. Let m be (r\/(22\/10000000))\/1. Round m to the nearest one million.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (h + 3*h - 5*h)*(4 - 2 - 1) + 3*h - 3*h + 5*h + (-3*h + 2*h + 2*h)*(-1 - 2 + 5).\nAnswer: 6*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 308, 310, 312, 314, 316?\n\"Answer: 2*q + 306","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 2*d**2 + 2*d - 8. Let p be k(7). Calculate the highest common factor of 13 and p.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -230*x + 226*x = 11*b - 617, -4*x = -4*b + 208 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*b*v**2*w**2 + 170*b*v**2 - 3*b*w - 6*v**3*w - 414*v*w**2 - 2*v wrt v?\nAnswer: 6*b*w**2 + 340*b - 36*v*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10231 is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5869 + -2050. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2 - 32)\/(6\/(-8)). Suppose 0 = -0*q + 5*q + o. Let j = q - -21. Calculate the remainder when j is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the third derivative of -z**4\/24 + 7*z**2. Let u(i) be the first derivative of -i**3 - 2. Calculate l(u(g)).\nAnswer: 3*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3 and 292354.\nAnswer: 877062","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 772.9 times 692?\nAnswer: 534846.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4\/(-6)*(6 + 324\/(-24)). Suppose -l + 9 = -y, l = c*l + 5*y - 9. Let u(n) = -n - 1. Calculate u(l).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6 + 12. Let a(m) = m - 2. Let t be a(x). Let u = 27 - 15. What is the highest common divisor of t and u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*f**2\/5 - 6288992*f\/5 - 4943927547008\/5.\nAnswer: -2*(f + 1572248)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**3\/19 + 58*w**2\/19 - 208*w\/19 + 200\/19.\nAnswer: -2*(w - 25)*(w - 2)**2\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -31\/3512 and 43\/23022916?\nAnswer: 46045832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 6, -44, -154, -324, -554, -844?\n\"Answer: -30*m**2 + 40*m - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -89 + -70466619147\nAnswer: -70466619236","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 4457*o + 3 - 2 - 811*o.\nAnswer: -5268*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the second derivative of 11*u**3 + 23*u**2\/2 - 2*u + 14. What is the first derivative of c(g) wrt g?\nAnswer: 66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 817*h**3 + 784*h**3 - 2 - 1596*h**3 - 7 - 28.\nAnswer: 5*h**3 - 37","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -5*l**2 - 2*l - 30. Let t(a) = 4*a**2 + 2*a + 29. Calculate -6*t(m) - 5*z(m).\nAnswer: m**2 - 2*m - 24","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -36? (a) 0.623 (b) -0.1 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (26\/65*-2)\/(8\/100).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2857 is divided by 882.\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 20\/(1\/((-6)\/(-15)))\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3498*a - 3496*a + 19 = 3*h, 3*h = -a + 13 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x**3 + 25*x**2 - 48*x + 34. Let r be p(23). Is -21 at most r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1\/58 + -239\/406. Let p be ((-8)\/(-10))\/(6\/(-15)). Put 1\/3, n, p in decreasing order.\nAnswer: 1\/3, n, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1637*l**4 - 3*l**3 - 4*l - 3299.\nAnswer: 19644*l**2 - 18*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -88 + 83. What is the second biggest value in q, 4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6232.0121383652 - -0.0422263652. Let a = r + 6232. Let x = -0.03 + a. Round x to five decimal places.\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 81326\/59 or 16?\nAnswer: 81326\/59","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -221\/6 + 37. Let x = 4.5 - 6.5. Sort 2\/19, x, g in ascending order.\nAnswer: x, 2\/19, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 100572?\nAnswer: 2, 3, 17, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*l - 15*l + 60*l + 21 - 17*l - 16*l.\nAnswer: -6*l + 21","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -389, -563, -745, -941, -1157?\nAnswer: -1399","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -150 = 10*h - 140 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -j**3 - 17*j**2 - 24*j + 19. Determine r(-15).\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-40)\/(-30))\/(1\/6*4).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 85*l + 10761 = 87*l - 3*g, 0 = -3*l - g + 16147. Does 117 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 597 (b) -148 (c) 1 (d) -30 (e) -0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3 + 10045b?\nAnswer: 100458","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:29 AM and 6:45 AM?\nAnswer: 136","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5181972.\nAnswer: 2, 3, 431831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1711 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 928558080?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o + 2 - 2 + (-1 + 2 - 2)*(o - 3*o + 0*o))*(3*o + o - o).\nAnswer: 3*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -714105*s**3 + 714078*s**3 - 219 + 219.\nAnswer: -27*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -18\/365, -14\/305, -0.4 in decreasing order.\nAnswer: -14\/305, -18\/365, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 24727\/2 + -12319. What is the common denominator of -9\/5825 and b?\nAnswer: 11650","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(3\/2)*(-5625)\/2250.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 26983 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the first derivative of -u**6\/2 + 3*u**4\/2 - 3*u**2\/2 - 8. Factor c(g).\nAnswer: -3*g*(g - 1)**2*(g + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1584?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -202*o + 98*o + 107*o - 14. Let x(y) = -y + 5. Let d be 34\/3 + 2\/(-6). Let s = d + -15. What is s*b(u) - 11*x(u)?\nAnswer: -u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}