diff --git "a/data/dm_maths/full_data/1922_11255.jsonl" "b/data/dm_maths/full_data/1922_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/1922_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Is 234600513753 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 57 + (-6 - (-37 - -41 - 14))\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 355 minutes after 11:42 AM?\nAnswer: 5:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -64 - k + 691*k**2 - 3*k - 59 + 125 - 138*k**2.\nAnswer: 553*k**2 - 4*k + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8382 is divided by 310.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i. Let h = -6 - -15. Let a = -8 + h. Let m(v) = -6*v + 2*v + a - 1. Calculate m(d(s)).\nAnswer: 4*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*z - 5*z + 31*z**2 - 2 - 24*z**2 to y + f*z**2 + s*z and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 1, k: 1, n: 5, l: 3, s: 3, h: 4}. What is prob of picking 1 k, 1 l, 1 s, and 1 n?\nAnswer: 9\/476","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -63\/90662 and -1\/33066.\nAnswer: 136264986","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 676*o + 676*o + 62*o**2)*(6*o - 2*o + 4*o).\nAnswer: 496*o**3 - 16*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -130 = -2*l + 2*p - 66, l + 3 = -4*p. Solve -5*q = l, 2*m = 4*m - 3*q - 11 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -2*3\/6 + (-1 - -12). Suppose f*p - 160 = 9010. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let x = -12 + 11.7. Let h = -6 - -6.3. Let i = h + x. What is the smallest value in 3, 1, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 2*w - 3. Let u be c(3). Suppose u*x = -3*q - 0*q + 39, -5*q + 71 = -x. Calculate the remainder when 351\/(-36)*(-16)\/6 is divided by q.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 177815137 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -i - i**3 + i - 169*i**3 + 396*i**3 + 635*i**3 + (-3*i + 0*i + 5*i)*(2*i**2 - 1 + 1) - 1 - i**3 + 1 - 2*i**3 - 4*i**2 + i**2 + 2*i**2.\nAnswer: 862*i**3 - i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 4*t - 20 = 0, t = 5*u + 3*t - 38. Suppose m + u - 3 = 0. Let d be 2\/(-5) - 2\/m. Solve 35 = 4*z + 5*o, d*z - 4*z + 3*o = -11 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.33 - -0.13. Let c = -2.1 - -2. Sort c, d, 2\/17 in ascending order.\nAnswer: d, c, 2\/17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -3*h + 4*h + 0*h. Let f be (-15)\/(-3)*(-4)\/(-10). Let y be 1*f\/2*-1. Let p(w) = 5*w + 1. Give y*p(q) + 3*j(q).\nAnswer: -2*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-one quarters of a litre in millilitres?\nAnswer: 12750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 5*d = -5, 5*o + 0 = 4*d + 13. Suppose 56 = 5*z - 19. Suppose 0*b = 5*b - z. Calculate the remainder when o is divided by b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -303 + 21?\nAnswer: -222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -143325 (base 9) in base 10?\nAnswer: -87746","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -279*a - 367*a - 15540 = -91*a for a.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 15*k**2 - 1305*k + 2276. Let u(i) = 8*i**2 - 649*i + 1138. Let a(n) = -6*s(n) + 11*u(n). Differentiate a(h) wrt h.\nAnswer: -4*h + 691","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 210327.\nAnswer: 3, 13, 5393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -1, 7\/6, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 12 = -2*r, -2*r + 2*o = -0*r + 16. Let l be 54\/14 - r\/49. Solve v + a + a = -6, -v - l*a = 16 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the second derivative of -1\/6*r**3 - 4*r + 0*r**2 + 0. Let o(t) = -3*t**2. Calculate q(o(s)).\nAnswer: 3*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2\/3, -2\/9, -3\/8, -16?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 20*v**2 + 84*v + 72. Determine k(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 5 * -71645657\nAnswer: -358228285","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 135 and 108.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3889.8 - 4050. What is k rounded to the nearest one hundred?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.2 (b) 0 (c) 0.5 (d) 1.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 113\/31883040 and 61\/40612920.\nAnswer: 3411485280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 148*(-3)\/(234\/(-21)). Let z = 785\/52 - a. What is the common denominator of z and (((-612)\/30)\/(-3))\/((-9)\/5)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n**5\/17 - 74*n**4\/17 + 390*n**3\/17 - 550*n**2\/17 - 16*n + 744\/17 = 0.\nAnswer: -1, 2, 3, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by -44088?\nAnswer: -1\/14696","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 + 1)*(4*y - y - y) + (-2*y + 3*y - 3*y)*(51 - 29 - 28).\nAnswer: 16*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 247?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*q**4 + 60*q**3 - 100*q**2.\nAnswer: -5*q**2*(q - 10)*(q - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*v - 4*v - v)*(3 - 1 - 3) + 14*v + 12 - 12 + (6 - 6 + 3*v)*(0 - 4 + 2).\nAnswer: 7*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 2*o - 3. Let a be f(7). Let s = a - 14. What are the prime factors of (-8)\/(-4) - (1 + s)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 1, z: 6, u: 6, j: 6}. What is prob of sequence uur?\nAnswer: 5\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -36*p + 1318. Give h(37).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -397505.02 to the nearest ten thousand.\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(2\/13)\/s)**39)**23\/(s**(7\/2)*s*((s\/((s**(-3\/8)*s)\/s))\/s)\/s*s*s**3*s*s*s**(-2)) assuming s is positive.\nAnswer: s**(-6135\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2228 is divided by 540?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the first derivative of f**4\/4 + 8*f**3\/3 - 5*f**2 - 3*f - 5. Let m be c(-8). Suppose 4*u - 359 = y, 2*u - 4*y + m = 3*u. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14\/6*3*26\/(-26).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -g**2 + g**2 - g**3 - 5*g**3 + 2*g**3 - 5*g**3 + (-5 + 5 + 2)*(4*g**3 - 30*g**3 + 7*g**3).\nAnswer: -47*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32*n + 330 + 22 + 34*n + 52.\nAnswer: 2*n + 404","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*h**3 - 4*h**5 - 3*h**3 + (h**3 + 0*h**3 + h**3)*(5*h**2 + 3*h**2 - 4*h**2).\nAnswer: 4*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3002)\/57 - (8 + -62). Solve -2\/3*p**4 - 2\/3*p + 2*p**2 - n + 2\/3*p**3 = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8745785\/128 + -68326. What is the common denominator of -67\/4 and y?\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the first derivative of 2\/15*x**3 + 2 + 0*x + 2\/5*x**2. Determine n so that o(n) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u = -3*a - 16, -10*u + 14*u - 2*a = 14 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -3*f**2 + 133*f + 67. What is the units digit of z(19)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*6*2*sqrt(484)*2)\/(6*(-2*sqrt(3168))\/sqrt(2)).\nAnswer: -2*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 30775118?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the third derivative of -a**5\/240 + a**4\/16 - 3*a**3\/8 - 3*a**2. Suppose k(b) = 0. Calculate b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -8 * -3.39.\nAnswer: 27.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1b + 393?\nAnswer: 3b2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/2*80\/5. Calculate the lowest common multiple of 11 and (30\/(-5))\/(6\/x).\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 3, n: 5, w: 7, a: 3, e: 2}. Give prob of picking 2 a, 1 w, and 1 d.\nAnswer: 21\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((sqrt(121)*-3)\/sqrt(11) + -4 + 5 + sqrt(1100) + 5)**2.\nAnswer: -575 - 84*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -2894 minus -11153?\nAnswer: 8259","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 270973.\nAnswer: 270973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let 2\/9*h**3 - 64\/3 + 20\/9*h**2 - 64\/9*h = 0. What is h?\nAnswer: -12, -2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19241 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 31*j**2 - 72*j + 432 - 54*j**3 - 316*j**2 - 21*j**3.\nAnswer: -3*(j - 1)*(5*j + 12)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*a**3 - 2 - 4*a**3 - 11*a**2 + 10*a**2 + (2*a + 0*a - 3*a)*(-6*a**2 - a**2 + 3*a**2).\nAnswer: -2*a**3 - a**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4 - -5. Let r(i) = i**2 + 2 + 2*i**3 - 3*i**3 + 0*i + z + 2*i. Let h = -6 + 9. Determine r(h).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-6\/5)*f*f)**(-6)*((f**(-10\/3)\/f*f)\/f)**38 assuming f is positive.\nAnswer: f**(-2542\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1, 4\/35, 45.3, -928, 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 217702396?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 22 + -16. Suppose -2*u = -4*d, 0 = d - l*d. Let p(c) = u*c**2 + 5*c - 2*c**2 - 7 + 3*c**2. Determine p(-7).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -43\/568 and 99\/76.\nAnswer: 10792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nr when two letters picked without replacement from nrrrrrrrnnrr.\nAnswer: 9\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.094? (a) -0.8 (b) 3\/7 (c) -2 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -123 divided by 6321\nAnswer: -41\/2107","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2245 - 2247.383. Round x to one decimal place.\nAnswer: -2.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5563 (base 7) in base 11?\nAnswer: 1563","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11111110001010010110 + -11001001?\nAnswer: 11111110000111001101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 5 = -0*d. Suppose -12*w + 19 + 17 = 0. Sort 4, d, w in decreasing order.\nAnswer: d, 4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*h + 41 = 1. What is the remainder when h is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25*19\/475*1\/(-1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2.001 + 0.031. Let x = 0.05 - 0.02. Let b = z - x. What is the biggest value in 0, b, -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i - 13. Let o be m(0). Let s(y) = 121*y - 32. Let h(a) = -40*a + 14. Let u(j) = -3*h(j) - s(j). What is u(o)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 63289?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -58 - -61. Calculate the least common multiple of y and 1.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h = -5*u - 9, 172*u + 3 = 173*u + 2*h for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 640 and 2600368.\nAnswer: 104014720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 6*l + 7. Calculate g(-7).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 20027, 40714, 61401, 82088?\nAnswer: 102775","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.31*-2173937.\nAnswer: 673920.47","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (-2*(-1*sqrt(448)*-1 + -2) + (sqrt(448)*1 + 0 - (sqrt(448)*-1 + 2)))**2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x**3 + 11*x**2 - 24*x + 5. Let u(w) = 2*w**2 - 53*w - 19. Let i be u(27). Let v be f(i). Which is the biggest value? (a) 2 (b) 1\/8 (c) v (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 25, 39, 67, 115, 189, 295, 439, 627?\nAnswer: 865","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 4*r + 36670 = 5*i, 5*i - 183434 = r. Suppose -3*f + 45871 = 5*j, 3*j = 7*j - 3*f - i. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, w: 7}. Give prob of picking 3 w.\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 768440789 is divided by 241.\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/(-21) - 2\/6. Let h be 3\/(-15) - 8*(-2)\/(-20). Suppose 3*g - 3*j + 2 - 14 = 0, 4*j = -12. What is the nearest to h in g, f, -2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 208548 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 490 and 610.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 4*a + 1. Suppose -5*g + 62 = -3*p, 5*p + 1 = 6. Let f(h) = -2 - 8 - 1 + g - 12*h - 5. Give 4*f(x) + 11*n(x).\nAnswer: -4*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -111358800 by 504.\nAnswer: -220950","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i**2 - 10*i - 5. Let j(t) = t**2 + t. Let s(a) = 3*j(a) + p(a). Let b be s(6). Suppose 2*u - 3*u + b = 0. Solve x = -4*x - u for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - 1 - 2) + 2\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/(-1) - (-4 + 0). Let f(l) = -l - 4. Let d be f(-5). Let g = d - -5. Solve 0 = 4*h + x*s - 20, -2*h + 3*s + 4 = -g for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -b0517 - a3?\nAnswer: -b05ba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (13\/(-26))\/((-5)\/28)?\nAnswer: 14\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 22 (base 4) to base 13\nAnswer: a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 10101001001 (base 2) to base 7\nAnswer: 3642","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2142903 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c, 1 z, and 1 u when three letters picked without replacement from dzucrrzdzcrrzodrcz.\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k**3 - 21*k**2 - 17*k - 31. Let o be (-290)\/26 + 1 + 12\/78. Let b(a) = -5*a - 28. Let i be b(o). What is the units digit of p(i)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 61 divide 431415?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 3*s - 6. Suppose -2*n + 0*c - 4 = -2*c, n = -5*c + 28. Let w be i(n). Let d = w - -17. What is the greatest common divisor of 50 and d?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4 and -0.03420274.\nAnswer: 0.13681096","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000018309 rounded to seven dps?\nAnswer: 0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 347?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 + 39 - (8 + ((-10 - -10) + -4 - 8)).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 163969338?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = -0*g. Suppose n - 3 - 6 = g. Is n a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 3 = -j, -3*u + j + 0 - 2 = 0. Let a be -1 + (-2)\/u - (-15 + 5). Let g(q) = 0*q + 6 - a - 17*q. Give g(1).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/504)\/(((-1368)\/63)\/19).\nAnswer: -1\/96","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -29, -1, -4, 5 in descending order.\nAnswer: 5, -1, -4, -5, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 37 (base 16) to base 10\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 7160117 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3\/(-12)*(0 + -4). Let v(l) = -39 + 20 + 79*l + 36*l + 17. Is v(d) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/11? (a) 1\/149 (b) -0.4 (c) 3\/8 (d) -0.2 (e) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t + 1. Let z be 12\/(-20) + (-4)\/10. Let w be l(z). Suppose -u + 10 + 1 = -w*r, -3*u = 3*r - 69. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 84 = -2*p. Solve -3*z = p, -2*d - 2*z - 9 - 9 = 0 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u**2 + 8*u - 5. Let l be q(7). Suppose 0 = l*z + z - 21. What is the remainder when z is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - -36 - -27 - 41?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 31 - 16. Suppose 0 = 3*u - q, -5*r + 4*u + 124 = -r. Calculate the greatest common factor of r and 84.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (4\/(-2))\/(10\/5). What is the closest to 8 in 0.4, -0.5, g?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b\/((b**10\/b)\/b))\/b*b*b*b**(-2)*b)\/((b**(-1\/2)*b)\/b*b*((b**(-6\/11)\/b)\/b)\/b))**47 assuming b is positive.\nAnswer: b**(-4089\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Put 52, -2, 5, 4 in ascending order.\nAnswer: -2, 4, 5, 52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 986027404?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 30 and 105?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 80*s + 224 = 192*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4 - 2. Let b be ((-4)\/(-1))\/16*12. Solve -b*d + 7 = -r for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 519*t**2 - 82096*t + 82096*t to the form n*t**2 + y + b*t and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-19)\/(-38))\/(22\/(-24))?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1 (b) 2.9 (c) -24\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 927250 - 351663. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 157891163837 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vcb when three letters picked without replacement from {f: 1, b: 1, v: 10, c: 2}?\nAnswer: 5\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 135*y**4 + 10235*y**3 - 150*y**2 - 100*y + 100. Let i(d) = 8*d**4 + 602*d**3 - 9*d**2 - 6*d + 6. Let g(m) = 50*i(m) - 3*l(m). Factor g(p).\nAnswer: -5*p**3*(p + 121)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*g - 11 + 31, 2*w = 5*g - 286 + 309 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -23361 + 23380. Solve -28 = -b*x + 86 for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 6*t - 2*t + 0*t.\nAnswer: -8*t - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 5*451\nAnswer: 2255","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 612 + -305. Is l a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*c - 2*c + 4*c)*(-c + 6*c - c)*(-2*c + 3*c - 2*c) + 515*c**3 - 94*c**2 + 115*c**2 - 857*c**3 to the form s + v*c**2 + w*c**3 + b*c and give v.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1134?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = -4*p + 93, -l = 4*p - 0*l - 81. Calculate the highest common factor of p and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-95*j + 95*j - 17*j**3)*(-585*j**2 - 573*j**2 - 237*j**2).\nAnswer: 23715*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 2146?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 3*c + 4. Let d be (-9 + 8)*c\/(-8). Let h = 21.5 + -21. Sort -0.5, h, d, 3\/5 in descending order.\nAnswer: 3\/5, h, d, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g\/g**7)\/g*g\/g**(1\/3))**34)**(10\/9) assuming g is positive.\nAnswer: g**(-6460\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 - 250*((-119)\/(-252))\/17.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l**2 + 46*l - 53. Is f(22) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l - 1. Let b be u(-1). Solve -r = -b*r + m - 3, m - 3 = -2*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + -25 - (-38 + -12).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/21 or -1019\/3?\nAnswer: -1019\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/i**0)**(1\/23)\/(((i*i**(-1))\/i*i)\/((i*i**5*i*i)\/i))*(i*i**3*i*i\/(i*i**(-4)*i))\/(i\/(i*i**1))**(5\/13) assuming i is positive.\nAnswer: i**(4613\/299)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f**3 - 4*f**2 + 4*f - 3. Let m(g) = g**3 - g**2 + g - 1. Let t(j) = 4*m(j) - z(j). Let o be t(1). Suppose d = o*d + 9. Is d smaller than 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8 + -2. Let f(p) = p + 18. List the prime factors of f(q).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 236\/3 + -80. Which is the third biggest value? (a) -3 (b) -2 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -228949205*z**2 + 106955028*z?\nAnswer: -457898410","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4318192139?\nAnswer: 43, 389, 258157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 - 0.2. Let l = 0.3 + i. Let v = 1\/1639 - -8191\/6556. Which is greater: l or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 2*a - 500. Let s(y) = -6*y**2. Calculate s(z(x)).\nAnswer: -24*x**2 + 12000*x - 1500000","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.5 - 1.5. Put 0, m, -4 in descending order.\nAnswer: 0, m, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v + 3 = 0, 52*v + 34 = 4*y + 50*v for y.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5522353 (base 11) to base 6.\nAnswer: 543450121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l - 20 = 5*f, 0 = -5*f - 28 + 8 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 5*w = -20, 2*w + w = -g + 6. Suppose -g*l = 13 - 34. What are the prime factors of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that 4*d**5 + 64*d**4 + 328*d**3 + 640*d**2 + 532*d + 160 = 0.\nAnswer: -8, -5, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = 4*a - 140, -2*a + 0*s = s - 66. Let f = 376 - 359. Calculate the greatest common divisor of f and a.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*x**3 + 2738 + 1342*x + 2*x**3 - 3*x**3 - 146*x**2 - 3*x**3 + 1248*x.\nAnswer: 2*(x - 37)**2*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from axxxxyaxaxxaxx. What is prob of sequence xxay?\nAnswer: 12\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 373543*w + 302 + 323 - 373548*w - 3 - w + 3 - 2*w - 3*w + 6*w + (4*w - 3*w - 2*w)*(-3 + 3 + 2) - w + 3*w - 3*w as d*w + h and give d.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2.52 + -30.08. Let d = h + 34.13. Let z = d - 0.76. What is z rounded to one dp?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 + 418*q**2 - 4 - 3*q - 439*q**2 to the form h*q**2 + n + g*q and give h.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 34*o + 2 + 24*o + 12*o. Let k(g) be the third derivative of -g**4\/24 + 11742*g**2. Give y(k(x)).\nAnswer: -70*x + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(36)\/sqrt(144))\/(sqrt(98)*2 - sqrt(98)) + ((sqrt(14) - sqrt(28)\/sqrt(2))*-4)\/(sqrt(847)*-2).\nAnswer: sqrt(2)\/28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in 2\/7, 1\/81, -0.17, 1, 0.3, 13\/5, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1, 1447\/2, -0.104, 0?\nAnswer: -0.104","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*x + k - 18, -5*x - 3 = -4*k - 36. Let r = 8 - x. Let p be (9 + -12)*((-30)\/9)\/2. Solve -r*i - 2*b - 2*b + 16 = 0, 5*b - 25 = -p*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = -h. Suppose h = 2*c - 13 - 13. Let t = -23 + 62. Calculate the greatest common factor of t and c.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8 and -66*((-33)\/9 - -3)?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 134 and 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(208) - -1*sqrt(208)) + sqrt(117)*-2)**2.\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 4397034.57 and -92.8?\nAnswer: 4397127.37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 574 divided by 14\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q\/(q*q**2\/q)*q)**27\/(q**2)**(-4\/17))**(1\/9))**(2\/13) assuming q is positive.\nAnswer: q**(16\/1989)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m, 1 t, and 1 b when four letters picked without replacement from tmbfxxmmtmmtm?\nAnswer: 9\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -1\/2, -2, 25, -22, 0.0138, 6?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*o**3 + 20865016*o**2 + 41730044*o + 20865024.\nAnswer: -4*(o - 5216256)*(o + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 times -12.95698?\nAnswer: -1.295698","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 787938612 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -15 + 17 + -58 - -13.\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.5 and 170?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 187 is divided by 63?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11715*c**2 - 44*c + 4*c + 1744*c**2.\nAnswer: 13459*c**2 - 40*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4018989512?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 4*c**3 - c**2 + c + 1. Let x be a(-1). Let w be (-18)\/(-5) + (-2)\/x. Solve 0 = -w*v + 5*d - 11, -v - 2*d = d + 7 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -2*c. Let y(m) = -4*m - 2652452. Calculate y(z(x)).\nAnswer: 8*x - 2652452","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(152)\/sqrt(72) - (sqrt(38)\/sqrt(2) + 2)) + 5 - (sqrt(2052)*1)\/((sqrt(180)\/sqrt(5))\/sqrt(12)).\nAnswer: -20*sqrt(19)\/3 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 9\/98134 + 1864519\/294402. Find c such that 32\/3*c + 18*c**2 + 2\/3*c**4 - 32\/3 + x*c**3 = 0.\nAnswer: -4, -2, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand p**4 + 58*p**2 - 58*p**2 + (p - 5*p**3 - p)*(p - 2*p + 2*p).\nAnswer: -4*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = 13*s - 14*s + 15, -q - 2*s + 13 = 0. Solve 0 = -5*o + 2*w - q, -5*o - 5*w - 9 - 1 = 0 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -25, 4, 0.02?\nAnswer: -25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1071\/102)\/(2*(-21)\/18).\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l**(-3)*l)**(24\/11))**34*(l**(-2\/3))**(-39)*(l**(-2)*l)**(-18\/13) assuming l is positive.\nAnswer: l**(-6692\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-6 - -9) + 0 + -1\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fo when two letters picked without replacement from {o: 2, x: 1, f: 1, w: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 25429 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -2*z**3 - 28*z**2 + 4*z + 52. Determine b(-14).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3)\/(-1) - (-8 - 6). Let x = m - -7. Let p = -7 + x. What is the remainder when 117 is divided by p?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = s - 12. Let l = s + -12. Factor 3*a**5 + l*a + 8*a**4 + 8*a**3 + 13*a - 32*a**2 - 8 - 7*a**5.\nAnswer: -4*(a - 1)**4*(a + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3, 79859, -2\/5, -5, -4, 78?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j = i - 2 + 15, i + 45 = 10*j for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-1)\/(-5))\/(4\/10). Let p = 40.81 + -1.91. Let l = -38.9 + p. Which is the closest to l? (a) 1 (b) 5 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 + -41 + 34 + -10.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 269115169 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + f = -3*f - 1942, 3*y - 2923 = f. Suppose -4*x = -5*n - y, 5*x + 5*n - 593 = 592. What is the tens digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the third derivative of r**6\/120 - r**5\/30 + r**3\/6 + 3*r**2. Give a(2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 59002762 and 12.\nAnswer: 354016572","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -102 - 1a08?\nAnswer: -200a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 31351, 125505, 282469, 502243, 784827, 1130221, 1538425?\n\"Answer: 31405*b**2 - 61*b + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p - 15. Let t be k(18). Factor 51*o**3 + 0*o**2 - 53*o**2 + 8*o**2 + t - 18*o**4 + 9*o.\nAnswer: -3*(o - 1)**3*(6*o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 49 divide 346855859?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4438 = 576*k + 58*k. Put k, 1\/4, 38\/5 in increasing order.\nAnswer: k, 1\/4, 38\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l**2 - l - 5. Let z be q(3). Let s be 20\/(-6) + (-2)\/3. Let g be ((-1)\/2)\/(1\/s). Solve 2*m + 5 = c, 0*c + 3*c = g*m - z for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i**3. Let s(v) = 2*v**4 - 12*v**3 - 22*v**2 - 26*v + 2. Let g(r) = -12*l(r) + s(r). Find the second derivative of g(y) wrt y.\nAnswer: 24*y**2 - 44","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -69.6760622 to 0 decimal places.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -137.22 - -135. Let h = 465.4 - 468.2. Let n = h - b. What is n rounded to one dp?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20739*y - 780909 + 234621 - 621026 = -5930 for y.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v - 345111 = -5*y - 345116, -3*y + 4*v - 7 = 0 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (88\/(-77))\/(4\/14)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 5826*o**3 - 7*o**2 + 2*o + 29. Let m be h(7). Let f be m\/(-54) + (-1)\/3*-1. Round f to the nearest ten thousand.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5*10\/50)\/3)\/(-3)*-10?\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10363, -20726, -31089, -41452, -51815?\nAnswer: -62178","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -2697 at most -2698?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 1\/51 (b) 0.2 (c) 0.1 (d) 87\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 319 + v - 1678 + 675 + 684.\nAnswer: v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 578742596?\nAnswer: 2, 31, 1709, 2731","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 3*w = -13, 3*v - 4*w = 2 - 0. Solve -5*s + 4*y - 17 = -0*y, 4*y - 10 = -v*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -10045, -20944, -31845, -42748?\n\"Answer: -b**2 - 10896*b + 852","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 89373 is divided by 59?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*p + 101 = 5. Let q(j) = 44 + 44 + p*j - 72 - 4*j. What is q(6)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = -5*h - 15 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3999)\/301 + 13 + (-20)\/(-14).\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 47\/4 of a meter in millimeters?\nAnswer: 11750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5.4 in 3\/4, 0.02937, 0, 2, 0.4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 14.123806 to one dp.\nAnswer: 14.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 2*m + 25 = 0. Suppose m*b - 4*b = 5. Suppose 0 = 3*i - b*w - 18, -5*w = 2*i + 16 - 53. What is the units digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 488\/54 - ((-30)\/(-80))\/(32\/768).\nAnswer: 1\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 1.4 (b) -5 (c) 5 (d) -3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -28 not equal to -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 37 or 20792\/3?\nAnswer: 37","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r**(-2\/7))\/r)**49\/(((r**(-2\/13)\/r)\/r)\/(r*r**(-1))) assuming r is positive.\nAnswer: r**(-154\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1595?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - k + 3)*(-k**4 - 2*k**2 + 2*k**2) + (-k**3 - 1 + 1)*((-3*k - 9 + 9)*(3*k - 5*k - k) + 2*k**2 + 3*k**2 + 6*k**2).\nAnswer: -19*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 3 v when four letters picked without replacement from vvvvffvjjvssfvjfvjj?\nAnswer: 70\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + k - 14 = -4*u, -15 = -5*u - 3*k. Let z be 10\/5*3\/u. Solve -3*t - 13 = -z for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/3*30\/(-2). What is the second biggest value in -3, 2\/3, u?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -184 = -71*o - 995 - 325 for o.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-6)\/15 - 246\/(-15). Suppose -7*w + p = -3*w. What is the units digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 264 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 187.15 less than -0.091592759?\nAnswer: -187.241592759","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1674589 is divided by 1044?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 2 + 0 - 7471*n**2 - 4 + 7441*n**2.\nAnswer: -30*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -6*p**2 - 70*p + 10. What is c(-12)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4)\/201*(-57)\/10. Let i = -4239\/1340 + f. Calculate the common denominator of 37\/(12*(-2 + 3)) and i.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w and 1 l when three letters picked without replacement from llwlllwl.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i\/(i*i*i*(i\/(i\/(i\/(i**(-1\/21)*i))))\/i))*i**(-2\/63))\/(i*i**2\/i*i*i)**(3\/13) assuming i is positive.\nAnswer: i**(895\/819)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/14*3633\/(-865)?\nAnswer: 18\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 81008*d + 327. Is k(2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (20\/8)\/((-1)\/2).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -78.437 - -0.3.\nAnswer: -78.137","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that -9\/2 + y + 1\/6*y**2 = 0.\nAnswer: -9, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3516.643 decades in months?\nAnswer: 421997.16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-99)\/1122)\/((-18)\/(-24))\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 325810 - 943810. What is k rounded to the nearest 100000?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1438717800 to the nearest integer?\nAnswer: 37930","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2832094.75 + 2825943.68542. Let t = -6151 - h. Let a = t - 0.064. What is a rounded to four decimal places?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 697773.9 months?\nAnswer: 58.147825","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -18.5 - -15. Let t = -3 - c. Let j be 1\/(18\/(-4)) - 0. Sort -4, t, j.\nAnswer: -4, j, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (6\/8)\/((-4)\/(-48)). Is (-2)\/a + (98448\/27 - -1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*w + 3*w. Let u = w - -5. Solve 0 = 3*x - 2*k + 9, -3*x = u*k + 11 - 2 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4104 - 2213?\nAnswer: -11322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by 31178608?\nAnswer: 1\/31178608","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -357 + 373 = s for s.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express v + 2 + 2 - 13*v**2 + 0 - 2 - 3*v**3 as i*v**2 + j + l*v**3 + s*v and give l.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 547891 is divided by 182422?\nAnswer: 625","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.8 (b) 6\/13 (c) -3\/29\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -3*f - 0. Let p = -373\/8 + 185\/4. What is the second smallest value in p, 3, f?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 13 + -7. Let f(l) = -l + 8. Let b be f(q). What is the third derivative of -1 - s**5 + b - 1 - s**2 wrt s?\nAnswer: -60*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2 + -2. Let t be (-2 - 0) + 1*2. Let n(w) = w**3 + 36*w**2 - 2*w - 67. Let z be n(-36). Solve c + s*c + 1 = 5*g, -5*c + 2*g - z = t for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:48 AM and 8:35 AM?\nAnswer: 167","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 10*i + 2. Calculate the least common multiple of v(1) and 22.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19086941 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -410 + -167. Let f = 544 + w. Is 0.2 > f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.07242 and -5.\nAnswer: -5.07242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 176710?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11110100011 + 101010?\nAnswer: -11101111001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -170 + -4?\nAnswer: -174","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 36.43831l?\nAnswer: 36438.31","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -26*i**4 - 3*i**3 - 3*i**2 + 9. Let h(c) = -27*c**4 - 4*c**3 - 4*c**2 + 10. Let a(j) = -4*b(j) + 3*h(j). What is the derivative of a(u) wrt u?\nAnswer: 92*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4\/((-72)\/(-3190)) + -1 + (-42)\/(-54). Suppose -5*y + 43 = i, 0 = i - 5*i + y + 67. Suppose 14*u + 12 = i*u, 5*m + 4*u = w. List the prime factors of m.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -51.1739051 - 69.826105. Let n = f + 121. What is n rounded to 6 dps?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 7*w**3 + 5*w**2 + 10*w + 22. Let j(u) = -4*u**3 - 3*u**2 - 5*u - 11. Let v(l) = -2*g(l) - 5*j(l). Is v(5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65*w + 63*w = -54. Calculate the smallest common multiple of w and 39.\nAnswer: 351","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-t**2 + t**2 - 2*t**3)*(1131*t - 478*t - 545*t) in the form z*t**4 + m*t + y*t**3 + w + h*t**2 and give z.\nAnswer: -216","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -21*(25\/35 - 1). Is 3 at most l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -2*q**3 - 2*q - 1. Suppose -5*l + 4*z = 5*z - 271, 4*z = -16. Suppose -f + 0 = -l. Let y = 54 - f. Give n(y).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3 - 95*f - 2)*(29*f + 21*f**2 - 29*f) + 1 - 1 + f**3.\nAnswer: -1994*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -37 - (-48 + 66 - 52).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 1712*s**2. Let p(y) = -210*y. Calculate q(p(k)).\nAnswer: 75499200*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/n**(5\/4))\/(n\/(n\/(n\/(n*n\/((n**(-1)\/n*n)\/n)*n)))))\/((n\/(n\/n**(-3))*n)\/(n\/n**(3\/2)*n))*((n*(n\/n**(-2\/3))\/n)**(9\/2))**(-14\/3) assuming n is positive.\nAnswer: n**(-115\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1076838923 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-2325)\/(-3150) + 1\/(-6)\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 100312817?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 863 to the power of 1\/2, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5054 and 63?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/((((d\/(d\/(d**5\/d)))\/d)\/d)\/d)*d**0*d)\/(((d\/(d*d**1))\/d)\/d)**11)\/((d**(-3\/7)*d)\/((d\/(d*d**(2\/5)\/d))\/d)*(d**(2\/5))**(-12)) assuming d is positive.\nAnswer: d**(1324\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 14 = -11. Let p(q) = -q**3 + 4*q**2 + 5*q - 3. Let o be p(n). Let c = -8.6 - -9. What is the third biggest value in -0.1, c, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0\/((-4)\/(3*6\/(-9))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s and 1 g when three letters picked without replacement from mmsssgsggsggsrgsg.\nAnswer: 147\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -40 + 4 + (-27 - -22) - 62?\nAnswer: -103","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 588 or -102?\nAnswer: 588","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 2692 divide 27833584?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -717, -1\/6, 7, -2\/13.\nAnswer: -717, -1\/6, -2\/13, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 30 = -93*r + 90*r, 5*f = 3*r - 30. Solve 3*j + x - r = 0, -j = -2*x - x - 20 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25918*h = -2*v - 25916*h - 18, -8*v + 2*h + 24 = 6*h for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -122.3 - -132.93. Let h = j + 0.57. Let r = h - 11. What is the third smallest value in 4, -0.1, r?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(720)*2)**2 - (1 + (sqrt(5) - sqrt(30)\/sqrt(6))**2 + 2).\nAnswer: 2876","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 13 + -13. Suppose -11 = 4*x - v*x + 3*u, -2*x + 2*u = -12. Calculate the greatest common factor of 1 and x.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*sqrt(18)\/(sqrt(9) - (sqrt(729) - sqrt(729)*1)).\nAnswer: -2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -558.53 to the nearest 10.\nAnswer: -560","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 65240 to the nearest integer?\nAnswer: 255","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 53745\/(-149814) - 10\/(-35). Let d = q - -1\/246. Is d != 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 + 0*d**4 - 2*d**4 - d**4 - 15*d**3 + 13*d**3 as y*d**2 + j*d + w*d**4 + i*d**3 + q and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -10183983 + 163034557\/16. Let l = -5673 + i. Calculate the common denominator of l and (-7)\/4*(-4)\/(-6).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 43464 and 630228?\nAnswer: 1260456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 386 + 841 = -124*l - 1625 for l.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 123.15387 months in centuries?\nAnswer: 0.102628225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2 (b) 1289\/14 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y**2 - 37*y + 70. Determine i(35).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.03861 to the nearest integer.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 + 2*w + 43*w**3 - 24*w**3 + 8*w**4 - 14*w**3 to the form x*w**2 + r*w + z*w**4 + u + n*w**3 and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 17*a**2 + 40*a + 19. Is c(18) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.770576 micrometers in centimeters?\nAnswer: 0.0004770576","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -157*l + 3020 = -591 for l.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 8 = 31. Suppose -m - 111 = -4*m + 4*b, -3*b + 148 = 4*m. Calculate the remainder when m is divided by n.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 80841 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the second derivative of 3*p**5\/20 + 237*p**4\/14 + 394*p**3\/7 - 396*p**2\/7 - 814*p. Find c such that s(c) = 0.\nAnswer: -66, -2, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in 0.5, -1.07, 3, 0.6, 4\/7?\nAnswer: -1.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f**2 + 6*f - 6. Let s be w(4). Let a(m) = 4*m + 1. Let c be a(1). Let z = s - c. Sort 4, -5, z in increasing order.\nAnswer: -5, z, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/(-21) - (-28418399)\/903 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 55 (b) -1\/80 (c) 9 (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/16 + 154261\/(-6992).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 74 and 186295?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 19667221?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -2*l**3 - 93*l**2 + 49*l + 8. Let a(r) = -3*r**3 - 155*r**2 + 83*r + 13. Calculate -8*a(w) + 13*q(w).\nAnswer: -2*w**3 + 31*w**2 - 27*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xmmmxmxxxmxxx. Give prob of sequence xm.\nAnswer: 10\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g, 2 t, and 1 x when four letters picked without replacement from {y: 1, x: 5, g: 1, t: 3}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + d + d - 1 + 2*d + 4 - 4 + 0*d + d - 2*d + (-3*d + 5*d + 0*d)*(1 - 3 + 4).\nAnswer: 7*d - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 64*d - 12*d + 7*d + 32*d.\nAnswer: 91*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 165747 is divided by 33149?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3 - 3. Suppose 0 = -n*l - 3*l + 30. Is 5 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -348\/1685?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3 - -6. Solve 3*k + 0*k = z for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -283.474 - -284. Let u = -0.726 + w. What is the nearest to u in 0.6, 0.5, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 185 + -142. What is the remainder when m is divided by 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2)*-1*-1 - 3*(-3 + sqrt(2)))**2.\nAnswer: -36*sqrt(2) + 89","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:52 PM and 4:03 AM?\nAnswer: 611","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 1 - 5)*(-2*t - 9*t + t)*(-t**3 - t**3 + 5*t**3) - 2*t**2 + t**4 + 2*t**2.\nAnswer: 91*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-2\/7)\/m)\/m*m**(-2\/3))**31*m*m\/(m*m*m**5)*m\/m**(1\/2)*(m**(2\/5))**(-37) assuming m is positive.\nAnswer: m**(-23273\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s*s**(-5\/6)\/s*s**(-2\/37) assuming s is positive.\nAnswer: s**(-197\/222)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z**3 + 6*z**2 + 5*z + 8. Give r(-4).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3426*d*p**4 + 5*d*p - 3*d - 16*p**5 + p + 562 wrt p?\nAnswer: 41112*d*p**2 - 320*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (7\/(-14))\/((-865)\/(-1038))?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-5 - ((-657288)\/(-40))\/(-17)) + (-4)\/(-10). What is the greatest common divisor of 208 and n?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 66882198 to the nearest integer?\nAnswer: 406","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -18*f**3 - 2*f**2 - 2*f. Let a(p) = -72*p**3 - 9*p**2 - 9*p. Give -2*a(c) + 9*m(c).\nAnswer: -18*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 197209 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*d + 46*d + d)*(-3 + 2 + 3)*(-4*d + 2*d**3 + 4*d).\nAnswer: 180*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -1a (base 11) to base 14\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 85, -2, -3, 34 in ascending order.\nAnswer: -3, -2, 0, 34, 85","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 2 - ((10 - 29) + 2 + -8) - 0\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 115104 and 72.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 198 is divided by 29?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l**3 - 54*l**2 + 825*l - 3137. Determine m(30).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -9*v + 7. Let r(z) = 4*z**2 + 6 - z**3 + 2*z + z + 2*z**3. Let o be r(-4). Suppose 3*d + 31 = -8. Let l(p) = 4*p - 3. Calculate d*l(y) + o*x(y).\nAnswer: 2*y - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000625878382 to seven decimal places.\nAnswer: 0.0000063","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 2, o: 8, p: 4}. Give prob of picking 2 o and 2 p.\nAnswer: 24\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2, 0.18, 23, 2\/7, 4\/19, 0.5, -1?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*q**3 + 3*q**3 - 2*q**3 + (-2 + 2 + q**3)*(-1 + 3 - 1) - 9 + 9 - 13*q**3 + 3*q**3 + 3*q**3 - 5*q**3 to x*q**2 + z + y*q + g*q**3 and give g.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - 0 - (78 + 4) - (-39 - -49 - 21).\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -528 - -785. Suppose -23 = 5*p + l. Let a = p - -63. What is the remainder when 10 is divided by a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 65240 is divided by 31.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 90313 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the second derivative of -10*f**3\/3 - 2*f**2 - 34*f. List the prime factors of s(-4).\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k**3 - 6*k**2 + 13*k + 24. What is g(-8)?\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 2327, -39, -4\/13?\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3.6 at least -334?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n + 7. Let f be t(-7). Suppose -5*k + 2*o - 83 + 202 = f, 5*k + 2*o = 111. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z**2 + 2*z + 3. Let f be -2*((-14)\/21)\/((-4)\/3). Let j be t(f). Solve 12 = 3*g, 4*y + 2*g + 5 + 3 = j for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 1 + 0*j + j + 0*j. Let f = -21 - -20. Let a(k) = -k**2 - k - 1. Give f*m(g) - a(g).\nAnswer: g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 1 = -20\/12547?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-16)\/(-24))\/(((-2)\/(-8))\/((-87)\/116))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 21\/6*-6*(-20)\/35. Solve -6*b = -10*b + l for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the third derivative of u**6\/120 + u**5\/20 + u**4\/24 - u**2. Let v be t(-2). Solve -5*h + h - 5 = -y, -v*y = -5*h - 4 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 49527970?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -7*p**3 - 2*p**2 - 332*p + 17921.\nAnswer: -21*p**2 - 4*p - 332","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 2, h: 4, b: 3, p: 2}. What is prob of sequence bq?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -73712 + 96?\nAnswer: -73649","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wjw when three letters picked without replacement from {j: 6, w: 7}.\nAnswer: 21\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2164903360 a multiple of 632?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 77414.39 tonnes to grams.\nAnswer: 77414390000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 5*g**2 + 21*g. Let x(a) = 11*a**2 + 45*a. Let n(m) = -9*f(m) + 4*x(m). What is n(-5)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2745 is divided by 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 33 and 297.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-1\/28))**(-40) assuming p is positive.\nAnswer: p**(10\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 140*d + 20 = 145*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 6.28, 2\/51, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5 (b) -1 (c) 0 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4873276*f*t**4 - 852828*f*t**2 - 10*f wrt t.\nAnswer: 116958624*f*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -5*x - 33. Let s be a(-10). Let n(w) = 0 - 11*w + 4 - 3*w**3 + s*w**2 - 29*w**2 + 2*w**3. Let l be n(-11). Solve 9 = -l*h - 11 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 476624 to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 23\/14 and -47\/84.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2562 - -285?\nAnswer: 2857","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000361373366 rounded to 5 dps?\nAnswer: -0.00036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((i*i\/(i\/i**16*i))\/i)\/(i*i\/(i*((i\/(i*i*i**(1\/6)\/i))\/i)\/i*i)))**12)**(-27))**(3\/8) assuming i is positive.\nAnswer: i**(-6237\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/7, 0.03, 3?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 0 (b) 90 (c) 1 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*m - 4, -64 = -v - 2*m - 8. Suppose -5*p + 2*x = -v, -14*p + 28 = -12*p - 2*x. Solve 0 = -p*q + 13*q - 15 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -1 - (-11)\/(-3)*-3. What is the highest common factor of t and 25?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6576, -7358, -8660, -10482, -12824?\nAnswer: -15686","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ml when two letters picked without replacement from {s: 1, l: 4, m: 2, v: 1, p: 2, x: 2}.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:01 PM and 11:04 PM?\nAnswer: 303","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 344 - 343 + 16*v**3 + 3*v - 112*v**2 + 4*v.\nAnswer: 16*v**3 - 112*v**2 + 7*v + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*h - 2*h + 3*h + (-1 + 3 - 3)*(-9 + 3 + 6 - 72*h).\nAnswer: 70*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d + 253 - 38 - 18)*(-2*d - 3*d + 4*d).\nAnswer: d**2 - 197*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -5949 - 3*b + 5949. Let f(t) be the second derivative of t**7\/1260 - t**4\/12 + t. Let c(x) be the third derivative of f(x). Give c(m(n)).\nAnswer: 18*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6 and 515394?\nAnswer: 515394","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -290730.2 * -0.36.\nAnswer: 104662.872","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 200.1 - 200. Which is smaller: b or 0.01?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d**2 - 6*d + 2. Suppose 0 = -b - 4 + 8. Give k(b).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aataaaatta. What is prob of sequence taa?\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 212.\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -4285*v**2. Let z(d) = 319*d**2. Determine z(g(y)).\nAnswer: 5857230775*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: ((-440)\/(-56) + -7)*((-195)\/(-20))\/(-13)\nAnswer: -9\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -172 - -174. Sort 1\/2, 0.3, -2.8, r in decreasing order.\nAnswer: r, 1\/2, 0.3, -2.8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 9*k**3 + 40*k**2 - 40*k**2 + (5*k + 2*k - 5*k)*(-k**2 - 7*k**2 + 3*k**2).\nAnswer: -k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 11.6 - 14.16. Let x = -0.44 + g. Which is the second biggest value? (a) 4 (b) -2 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*s + 310 = 512 - 268 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1219, 2468, 3717?\n\"Answer: 1249*a - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 237836981 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 3263 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q**2 + 5*q - 4. Let m be y(-8). Let d be ((-66)\/(-44))\/((-13)\/(-16) - 1). Let i = m + d. Does 6 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 748 and 68.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k = -2*m + 8, 19*k - 14*k = -25 for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 70*x**2 + 7*x - 6. Let d(o) = 3*o**2 + o + 2. Determine b(u) - 5*d(u).\nAnswer: 55*u**2 + 2*u - 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 20 = b + 4*n, 2*n + 10 = 5*b. Suppose b = 4*g + 3*k - 385, 5*g + 3*k - 303 - 179 = 0. List the prime factors of g.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0.3, 4, -480, 51, 0.026?\nAnswer: 0.026","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1146 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -58474318 divided by 29237159\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 493, 4508, 15415, 36658, 71681, 123928, 196843?\n\"Answer: 574*g**3 + 2*g**2 - 9*g - 74","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4656 + 10580. What is the thousands digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000300474647 rounded to six decimal places?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -691 + 691. Suppose l = 47*q + 165 - 682. Solve 5*m - 5*s + 15 = 0, 4*s = 3*m - 0 + q for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3749 + 4037 = -177*t - 4073 for t.\nAnswer: -67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 15 and 120?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -13*d*q**2 - 406*d*q - 234*d + 84*q**2 + 419*q + 804 wrt d.\nAnswer: -13*q**2 - 406*q - 234","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 0.2*612\nAnswer: 122.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*a - 11*a + 2 + 0 + 4 + 9 in the form t*a + v and give v.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in 1\/26, -1, -154?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 8173783 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -11*b + 12. Let t(d) = -23*d + 26. Let m(q) = -13*n(q) + 6*t(q). Let k(g) = -2*g. Calculate k(m(w)).\nAnswer: -10*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = s - 50. What is the units digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 18\/15*1*5. Let f = 4 + m. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v**2 + 12*v - 30. Suppose 16*q - 117 = 3*q. Let k be s(q). Let d(y) = -y**3 - 4*y**2 - 3*y - 2. Determine d(k).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 44719.057 to the nearest ten.\nAnswer: 44720","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 11, -2, -4, 1, -5, 5 in ascending order.\nAnswer: -5, -4, -2, 1, 5, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 7 in 0.055, 1, -18?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 35 - 25 - (-25 + 98).\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*t + 3 - 7. Suppose -5*j + t*j - 54 = 0. Suppose -5*v = 3*v. Sort 4, v, j in increasing order.\nAnswer: j, v, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1000010110101110000111 + -100?\nAnswer: 1000010110101110000011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -762 - 1.45?\nAnswer: -763.45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -30*t + 407. Let c be b(14). Let s(q) = -q. Calculate s(c).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -3698, -3985, -4296, -4643, -5038, -5493, -6020?\n\"Answer: -2*i**3 - 273*i - 3423","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = -5*v + 80, v + 2*u - 4 = 4*u. Suppose -3*j + 0*j - p + 36 = 0, -5*p = -j + v. Suppose 158 = j*t - 10*t. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 2*t + 14. Let f be d(9). Suppose a = 5*l + 195 - f, -3*a - 3*l = -525. What is the hundreds digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the second derivative of d**3 - 5*d**2\/2 + d. Let f be -6*(-44)\/42 + 10\/(-35). Determine r(f).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2 - 2. Let t(p) = p**3 + 2*p**2 + 2*p - 5. Let h(c) = -c**3 - c**2 - c + 6. Let f(u) = 3*h(u) + 2*t(u). Calculate f(m).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -420723.2411 - 0.7589. Let t = s - -420724.340042. Let y = 0.34 - t. Round y to 5 dps.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l - 2. Let g be k(5). Suppose 15 + 2 = 2*v + 3*i, g*v + 3*i - 30 = 0. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = 4*d + 5*r + 28, 0 = d + 4*r - 7. Let m(p) = -p**2 - 14*p - 17. List the prime factors of m(d).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2\/8)\/(2\/12). Let r = 162514 - 162484. Is r less than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-184 + -2 + 1)*1232\/(-16). Suppose 0 = -2*k + 3*y + x, k - 3474 = -2*y + 3645. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 131*a + 46602 - 93204 + 46602 + 4*a.\nAnswer: 135*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -77, -81, -87, -95, -105?\n\"Answer: -g**2 - g - 75","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15588?\nAnswer: 2, 3, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-480)\/288)\/((-15)\/72)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (0\/(18 - 3))\/(0 - -3). Which is the nearest to l? (a) 18 (b) 5\/6 (c) 1 (d) 1\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*f = -11*f - 4*b - 9, 4*f + 2*b + 18 = 0 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let 105*l**4 + 144*l**3 + 249*l**2\/7 - 36*l\/7 - 12\/7 = 0. What is l?\nAnswer: -1, -2\/7, 1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1156 and 408.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3 (b) -1\/2 (c) 317\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 121 divided by 6.\nAnswer: 121\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 21177803 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 705675507 to the nearest integer?\nAnswer: 26565","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 239*a - 434*a = -2774655. Calculate the highest common divisor of 85 and a.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -y + 12 + 4. What is the remainder when 66 is divided by (0 - (y + -2))*(-50)\/35?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 10*6\/(-15)*-1. Suppose -2*j - 2*b + 8 = 0, 2*b = -4*j + 3*b - 4. Solve 2*p + j*p + v = 0 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5432.7242 + -5432. What is u rounded to 1 dp?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20.98 plus -0.142?\nAnswer: 20.838","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 30 - -1?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7.8 + -26.2. Let m = v + 34.3. Let h = 35 - 34. Which is smaller: m or h?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -14 + 22. Suppose -c - 11 = -t. What is the units digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3*c**2*f + 2*c**2 + 5*c*f + 12744*c - 8974254*f wrt c?\nAnswer: 6*c*f + 4*c + 5*f + 12744","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + 0.486.\nAnswer: 8.486","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.4 in 0.4, 6\/11, 53, -5, -10\/7?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:28 AM and 9:55 PM?\nAnswer: 627","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3354 = 82*a + 47*a. Let c = -17 + 55. What is the derivative of a - c + 24*j**2 - 6*j**2 wrt j?\nAnswer: 36*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -4, -1\/3, 2\/31, -2\/5, -2168?\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -99\/2 and -3 + (0 - 43\/(-13))?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 2*a - 714 = 0, -6*a = -3*y - 7*a + 705. Let n = 100 + y. Is n a multiple of 48?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**0)**(-4\/21)\/((s\/(s*s**(1\/6)))\/(s*s**4)) assuming s is positive.\nAnswer: s**(209\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1 + -1 + -1 + 6. Let y be 4\/(-3)*(1 - 4). Suppose -u*z + 21 = 2*r + r, 3*r = -y*z + 25. Is 2 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/1*-1 - -23. Let t = -18 + b. What is the first derivative of 5*q**3 - q**3 + q**t + q**3 - 8 wrt q?\nAnswer: 18*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 125632 and 132834?\nAnswer: 641853888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w**3 - 7*w**2 - 40*w - 7. Is i(16) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 114562153999 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -92 + 103.1. Let y = m - 19.3. Let t = -7.2 - y. Which is the nearest to t? (a) -2 (b) -0.5 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -44436, -2, 6.\nAnswer: -44436, -2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -45 - 9 + 54 - 26*u**2 + 65*u**2. Let x(d) = 23*d**2 + 1. Give t(x(j)).\nAnswer: 20631*j**4 + 1794*j**2 + 39","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 14145, 14144, 14143, 14142, 14141, 14140?\n\"Answer: -l + 14146","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r**2 + 5*r - 5. Let v(h) = -2*h**2 + 11*h - 11. Let c(s) = -13*n(s) + 6*v(s). Suppose 9 = 4*a - 7*a. Let b be c(a). Solve l - 8 = b*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 39647272?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 418091 + -35824?\nAnswer: 382267","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8840471?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h**(-44)\/h)\/h)\/h**(4\/21))\/(((h**(10\/7)\/h)\/h)\/h)**(-8) assuming h is positive.\nAnswer: h**(-1234\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2 + 2 + 5 - 2 + 2 + (2 - 4 + 3)*(0 + 3 - 2))*(-2*c**5 - c**5 + c**5).\nAnswer: -8*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1100271 to the power of 1\/2, to the nearest integer?\nAnswer: 1049","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 97511?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 636 minutes before 7:24 PM?\nAnswer: 8:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*c + 8696 = 303. What is the units digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3240 and 1350?\nAnswer: 16200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 14010 = 3*l - 63721, -2*h = 3*l - 99440. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) -21 (b) 3 (c) 5065\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c - 9*i - 5 = 0, 16 = -4*c - i + 7 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 3, i: 8}. What is prob of picking 3 x?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1844 - 1128. Let s = 6451\/9 - q. Calculate the common denominator of s and 7\/4*(-162)\/(-14).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -127*z - 5392 = 364*z + 183*z for z.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h**2 - 5*h - 11. List the prime factors of n(8).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -31 divided by 330\nAnswer: -31\/330","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -61*1\/((-1)\/54). Calculate the remainder when (-2)\/13 - i\/(-117) is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -7999*t - 88119. Calculate h(-11).\nAnswer: -130","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j**5 - 33*j**4 + 16*j**3 + 12*j**2 = 0. What is j?\nAnswer: -2\/5, 0, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 50 - 100 + 62 - 2*c + c**2. What is the tens digit of i(-10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4*0.027.\nAnswer: -0.0108","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -78, -140, -198, -252?\nAnswer: -302","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 168?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1195 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -108 in 0, -675\/11, -6, -1, -2\/9?\nAnswer: -675\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 172 minutes after 10:33 AM?\nAnswer: 1:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*t - 664*t**3 - 184*t**3 + 491*t**4 + 2*t - 490*t**4 as y + i*t**4 + x*t**3 + q*t**2 + o*t and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5.49 + 0.1.\nAnswer: -5.39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 49117?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 10528 and 857.1393?\nAnswer: 9670.8607","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 60320620.\nAnswer: 2, 5, 3016031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3\/(-6) + 158*(-52)\/(-16). Let q = o - 250. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4.5 * 2\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -11*w**2 + 2*w - 1. Let t(b) = -b**2 + 5*b - 4. Let i be t(4). Suppose -3*h + 4*o - 8 = h, 4*o - 12 = i. Calculate m(h).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -143233 + -10?\nAnswer: -143243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -169 - -264. Suppose -4*l - o + 71 = 0. Let w = l - -28. Solve -4*z + w = 2*i, 4*i = -z + 3*z + 14 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 1400 = 11252. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4208671 is divided by 302?\nAnswer: 301","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 51*p**2 + 6*p - 288 wrt p?\nAnswer: 102*p + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*(p\/(p**(-1\/2)*p*p))\/p)**32\/((p\/(p**1*p))\/p**(-13)) assuming p is positive.\nAnswer: p**(-28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one halves of a milligram in micrograms?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 111524, 222950, 334370, 445778, 557168, 668534, 779870, 891170?\nAnswer: 1002428","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14a (base 14) to base 4.\nAnswer: 10012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the first derivative of -a**5\/5 + a**3\/3 - 377*a**2\/2 + 3*a - 476. What is the second derivative of s(t) wrt t?\nAnswer: -12*t**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-34)\/(-4) - 72293\/2158.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 17934159 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9746 - 0.5758.\nAnswer: 9745.4242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 10007 - 23407. Let i be (8 + 142)\/(3\/f). What is i rounded to the nearest 100000?\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -113*h**4 + 26*h**3 + h**2 - 3*h + 11529?\nAnswer: -1356*h**2 + 156*h + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1143)\/(-6477))\/((-2)\/(-646))?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000230796209 rounded to 7 dps?\nAnswer: -0.0000231","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -55 - -43. Let x(i) = i + 18. Let s be x(n). Solve 3*g + 18 = 3*u, -26 = -4*u - s for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 58 - 57. Let s be ((-9)\/d)\/((-24)\/(-16)). Let w(c) = c. Give w(s).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from owswoewowwoooz. What is prob of picking 1 e, 1 o, and 2 w?\nAnswer: 60\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -50*o - 16*o + 18*o + 41*o + 28*o.\nAnswer: 21*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 98 - 43. Suppose 5*k = 5*v - q, -1 = -4*v + 3*v - 4*k. What is the units digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c**2 - 2*c + 2. Let j be y(3). Let t(x) = -x**3 + 7*x**2 + 5. Is t(j) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 2*h + 2*d, 2*h - 2*d = -3*h + 16. Suppose h*o - 16 = 8*o. Let y(x) = x**3 + 4*x**2 - 5*x + 3. Let q be y(-5). Put o, q, -3 in ascending order.\nAnswer: o, -3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -253 - 5. List the prime factors of (-4 - u)*3\/6.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7167774281 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + -3 - (24 - 21 - 14 - 24)?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -103\/10 and 17\/30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 times 14.71985?\nAnswer: 323.8367","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -21035 smaller than -21034?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 179 and 2.\nAnswer: 358","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 4.005477 kilometers?\nAnswer: 4005477000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 66*x**2 + 46. Let g(a) = -45*a**2 - 31. Give 8*g(u) + 5*v(u).\nAnswer: -30*u**2 - 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the third derivative of 5*w**4\/24 - 10*w**3\/3 + 3*w**2 - 4*w. Calculate the remainder when f(18) is divided by 36.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.5 + -4.5. Let c = m + 5. Let q be ((-4)\/(-2))\/((-2)\/2). What is the closest to c in 1, q, 3\/5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x. Let k = 29 + -27. Let l(w) = 3*w**k + w + 2*w - 3*w. Give j(l(d)).\nAnswer: -3*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1582656 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/(-168))\/((3\/9)\/1).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -149.46 to zero decimal places.\nAnswer: -149","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r**3 + 2*r**2 + 9. Let v be b(0). Calculate the least common multiple of 30 and (-2)\/(2\/(-3)) + 288\/v.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -2*i - 52. Let g(f) be the second derivative of -f**3\/6 - 35*f**2\/2 - 19*f - 37. Give -5*c(b) + 8*g(b).\nAnswer: 2*b - 20","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.4 (b) 0.05 (c) -4\/11 (d) -1\/12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 423 at most as big as 423?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 303 minutes before 2:09 AM?\nAnswer: 9:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1222018148?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1fa (base 16) to base 3.\nAnswer: -200202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10 is divided by (-42)\/(-98) + 46\/7?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -125 + -11?\nAnswer: -140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(275) + 2 + ((-2*sqrt(275) - sqrt(275)) + -1)**2)*-4.\nAnswer: -9908 - 140*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18835?\nAnswer: 5, 3767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.2 and -0.046631.\nAnswer: -0.0093262","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 12 and 2388.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2277614 + -1621238. Let x = 1048376 - n. What is x rounded to the nearest 10000?\nAnswer: 390000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3728?\nAnswer: 2, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -65 + 53 + k - 85 - 273 in the form s*k + c and give c.\nAnswer: -370","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -0.15 * 897\nAnswer: -134.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -223*r - 2*r + 5915 + 10510 for r.\nAnswer: 73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r**2 + 20*r + 262. Let m be w(29). What is the nearest to m in 96, -1\/3, -4?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 * 0.03493\nAnswer: 0.10479","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3184 = 32*c + 2672 for c.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*o - 4*x - 12, 14 = -5*o + 3*x - 4*x for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3720*b + 1179*b - 20 + 1549*b.\nAnswer: -992*b - 20","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35*t**2 - t - 74*t**2 + 4*t.\nAnswer: -109*t**2 + 3*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (0 + 3 - 6) + 19. Let a(n) = -2*n - 14. Let s be a(-11). Calculate the greatest common factor of s and c.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 97 = 31. Let f be 8\/(-12) - r\/6. Determine y, given that -3*y**3 + 4 - 5*y**3 - 4*y**2 + 2*y + f*y**3 - 4*y**3 = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -5334, -4930, -4476, -3948, -3322, -2574, -1680?\n\"Answer: 4*h**3 + h**2 + 373*h - 5712","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -136*u + 276. Let o be k(2). Is 131\/46 at least as big as o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*q - 0 + 30, -36 = x - q + 39 - 69 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -320 (base 7) to base 9.\nAnswer: -188","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4290\/99*(-81)\/45. Are -61 and n equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.25 and -628.\nAnswer: -627.75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3001440 is divided by 5739?\nAnswer: 5682","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-8 + 15)\/35)\/(-1). What is the closest to -0.1 in -0.025, a, 5?\nAnswer: -0.025","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wwpw when four letters picked without replacement from {w: 5, p: 2}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 4*f - 21 = 9, 3*v - 30 = -3*f. Suppose 0 = -4*t - w - 0*w + 20, -v*t + w = -25. Factor t*z**2 + z**3 - 2*z + 4*z**2 - 11*z**2 + z**2.\nAnswer: z*(z - 2)*(z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g*g**(2\/7)\/g)\/g)\/g**(-1\/3))\/(g**(-2))**(-9) assuming g is positive.\nAnswer: g**(-386\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -b**3 - 35*b**2 - 29*b + 168. Determine y(-34).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 40244?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 4 (b) -0.52 (c) 19 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((u + 2*u - u)*(-4 - 1 + 3) - 1011*u + 790*u - 565*u - u + 3 - u - 5)*(0 + 0 + 1)*(4 + 1 - 3).\nAnswer: -1584*u - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0040900506 to 5 dps.\nAnswer: 0.00409","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1012 (base 4) to base 14.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y = -4*y - 60. Let v(a) = -7*a + 17. Let k be v(6). Let f = y - k. Is -0.2 less than f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -3*x - 4. Let g(d) = 22*d**3 + 2*d**2 + d. Let n be g(-1). Let p(m) = -15*m - 21. Let k(q) = n*w(q) + 4*p(q). Let z(f) = 13*f**2. What is k(z(b))?\nAnswer: 39*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = 4*y - 24. Let d = 81 + -79. Solve -o = d*o - y for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 0 - -111?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4 (b) -1 (c) -4 (d) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:36 PM and 7:58 PM?\nAnswer: 202","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5 + 2. Let o = v - -6. Suppose -5*r - o*i + 51 = 0, -3*r + 6*i + 51 = i. Solve -4*b = -b + r for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6372 + -140147\/22. Let h be (-63144)\/(-315770) - (-6)\/(-30). Let i = h - -3062989\/631540. Calculate the common denominator of y and i.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -204*y - 144 = -213*y. What is the remainder when 211 is divided by y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/103 in 0.1, 1, 9?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -7.1 (b) -0.1 (c) -0.64\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 15 = p + 4*p, 0 = -2*h + 4*p + 12. Let v be (-2)\/(4\/16*-4). Solve -v*x = 4*z + 3*x + 16, -h*z = 3*x + 8 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ttiiitiiiiiiiititii. What is prob of picking 1 i and 2 t?\nAnswer: 140\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -232865.808 rounded to the nearest ten thousand?\nAnswer: -230000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2754 + -950128\/345. Which is bigger: -1 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 153042900 to the power of 1\/2, to the nearest integer?\nAnswer: 12371","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2381*a - 3*a**4 - 9*a**3 - a**3 - 2383*a)*(-2 + 2 - 2).\nAnswer: 6*a**4 + 20*a**3 + 4*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -92 + 36 + (-25 - -30) - (-1 - -8).\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16.9, -0.7, 1297, -1.9.\nAnswer: -16.9, -1.9, -0.7, 1297","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4\/8 - (-6)\/4. Suppose c*q - 1588 = -2*q. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -8*z**2. Let y(u) = 11*u**2 - 8*u - 8. Let w(o) = 7*o**2 - 5*o - 5. Let s(n) = -8*w(n) + 5*y(n). Calculate q(s(m)).\nAnswer: -8*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 340 and 397228460.\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 440523 is divided by 22?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 12764121 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**2\/4 + 3796777*a\/4 + 14237970.\nAnswer: -(a - 3796792)*(a + 15)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + -1 + -6 + (-1 - -3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -a*h**3 + 868*a*h**2 - 66*a*h + 23*a*k**2 - 275528*h**3*k**2 + 2*h**3*k wrt h?\nAnswer: -6*a - 1653168*k**2 + 12*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 994, 9174, 31692, 75718, 148422, 256974?\nAnswer: 408544","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*h = -150 + 173 - 104 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b + 1 = 5*j, -3*b = -374*j + 378*j - 14 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -1627*g - 4. Let r be m(-2). Suppose r = -7*n + 2*n. What is the tens digit of n\/(-9) + (-10)\/45?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2.44 - 1.56. What is the third smallest value in f, -12\/17, -3?\nAnswer: -12\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 448 and 392?\nAnswer: 3136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 2862?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -24 + (3 - (-5 - -4)) - (12 + -123).\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -7*v**3 - v + 2. Let w be c(1). Let x(z) = -2*z**2 - 3. Let t(q) = -7*q**2 - 11. Determine w*t(u) + 22*x(u).\nAnswer: -2*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 7a (base 14) to base 12\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 120 (b) -4 (c) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pxlllllllllijlllx. Give prob of picking 2 x, 1 p, and 1 j.\nAnswer: 1\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/7933901 or 0?\nAnswer: 1\/7933901","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 5*i**5 + 3*i**4 - 3*i**3 - i. Let j(n) = 19*n**5 + 11*n**4 - 11*n**3 - 3*n. Let o(q) = 6*j(q) - 22*k(q). Find the second derivative of o(a) wrt a.\nAnswer: 80*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 8*w + 16 = 0. Suppose w*y + 3 - 19 = 0. Solve -19 + y = -3*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*f**4 + 332*f**3 - 1904*f**2 - 2670217*f - 3?\nAnswer: -36*f**2 + 1992*f - 3808","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -37, -155, -351, -625, -977?\n\"Answer: -39*k**2 - k + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y**2 + y + 3. Let a(l) = l**2 - l - 4. Let d(r) = 4*a(r) + 5*z(r). Let f(q) = q**2 + 2*q - 2. Let w(v) = 2*d(v) - f(v). Factor w(m).\nAnswer: -3*m**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 49336.\nAnswer: 2, 7, 881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-26)\/(5278\/725)*-14.\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o - 25 = 0, -4*o - 11 = -p + 4*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 774 (b) 2 (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that 15*p**3 - 164*p**2 - 2765*p - 7850 = 0.\nAnswer: -5, 314\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(35) - sqrt(105)\/sqrt(3))\/sqrt(5) + 5 - sqrt(63)\/(sqrt(36)*-2))**2 + 4 + -3.\nAnswer: 5*sqrt(7)\/2 + 423\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Total of -5 and -301123.\nAnswer: -301128","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19 + 4*p**3 - 27 + 46.\nAnswer: 4*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 24*p**4 + p**4 - 2*p + 2*p**3 - 39*p**4 + 25*p**4 + 4*p**2 - 2 + 1 to the form x*p**4 + w*p + m*p**3 + z + a*p**2 and give x.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -26\/3*j**2 + 22\/3*j + 4\/3.\nAnswer: -2*(j - 1)*(13*j + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 40 = 5*l, -5*l - q + 4*q = -40. Suppose -3*f = 2*n + l, 0 = f + f + 3*n + 12. What is the derivative of 0*o - o**4 - 3 + 5 + f*o wrt o?\nAnswer: -4*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5\/8363 + 928183\/183986. What is the common denominator of 35\/176 and t?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*o + 2*o. Let s(d) be the first derivative of 0*d + 0*d**2 + 1\/6*d**3 + o*d**4 - 1 - 1\/10*d**5. Factor s(t).\nAnswer: -t**2*(t - 1)*(t + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express n - 243*n**2 + 412*n**2 - 202*n**2 as m*n**2 + b + w*n and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10\/(-2))\/140*1771\/46?\nAnswer: -11\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8932 = 233*i - 5403 + 5015. Solve -178*w = -168*w + i for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1010031 - 31303?\nAnswer: 423223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 21, -5, 1, -1 in descending order.\nAnswer: 21, 1, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 222190.\nAnswer: 2, 5, 17, 1307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*i**2 + 15 + 0 - 11 - 1 in the form d*i**2 + z + a*i and give d.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 divided by 10184089?\nAnswer: -9\/10184089","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (14\/35)\/(4\/(-6)) + (-78258)\/(-30)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3655*y + 3678*y - 2 - 13)*(0*y**2 + 2*y**2 + 0*y**2)*(-2 - 2 - 5)*(2*y + 0 + 0) to the form h + b*y**3 + a*y + n*y**2 + c*y**4 and give c.\nAnswer: -828","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 28835297 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -35*j**2 - 2*j + 2. Let t(g) = 35*g**2 + 3*g - 3. Give 2*t(i) + 3*u(i).\nAnswer: -35*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -13*x**3 + 7*x**2 + 7*x - 18. What is the units digit of c(-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**(1\/4)*m**1\/m)**42 assuming m is positive.\nAnswer: m**(105\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x**2 - 3*x + 6. Let o be a(5). Solve o = 5*k + 1 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-63)\/(-6)*((-192)\/18)\/16\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 9 and 14097.\nAnswer: 42291","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**2 - 70460580*k + 1241173333484100.\nAnswer: (k - 35230290)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = 2*n - 98, 3*t - 2*t + 4*n - 42 = 0. Suppose 4*f - 42 = 30. Let q = f - 7. What is the greatest common divisor of q and t?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -708*r + 724*r = 0. Solve a - 2 = r, -9*w - 4*a + 8 = -4*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 70185508 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3521820*b**3 - 4754906*b.\nAnswer: 21130920*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 34 - 26 = 0. Calculate the common denominator of -97\/36 and ((-2)\/(-132))\/(1\/232*f).\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r**(-1\/19)*r*r)*(r*r**(-22\/9))\/r)**(4\/35) assuming r is positive.\nAnswer: r**(-464\/1197)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8062 + -701279\/87. Let o = h + 1\/87. Let g = 0 - 0. What is the closest to 1 in o, g, -0.2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(22)\/(sqrt(11) + sqrt(99)*-1))**2.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 372\/9229?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -83, -190, -303, -422, -547?\n\"Answer: -3*t**2 - 98*t + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 31 - 31. Suppose 5*j = -f*j + 75. Suppose s = 4*o - j, s + 0*o = 3*o - 11. Are 1\/55 and s nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-21)\/7)\/((6\/(-26))\/1)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -n**2 + 3*n - 3. Let w(z) = 2*z**3 - z**2 + 1. Let f be w(1). Let y be c(f). Let a = y + 19. Calculate the least common multiple of 12 and a.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qrsysby. What is prob of sequence byy?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w. Let o(m) = 1 - 142*m - 48*m**2 - 1 + 142*m. Determine o(z(r)).\nAnswer: -48*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1333990?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000007380065 rounded to seven decimal places?\nAnswer: -0.0000074","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 72232730?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -538, -718, 0, 15 in descending order.\nAnswer: 15, 0, -538, -718","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1658875064.\nAnswer: 2, 7, 11, 251, 10729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:10 PM and 4:02 AM?\nAnswer: 532","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 11*o**4 - 37*o**3 + 21*o**2 + 0*o**4 + 35*o**3 - 3*o**4 as j + u*o**4 + k*o**2 + n*o + z*o**3 and give k.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 8*w - 110. Let z be j(14). Let y be z\/14*37 - (-4)\/(-14). Solve 18 = y*a + v - 8, 2*v = 3*a - 13 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 342, -4, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 18029 - 8495. Is 19 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.46666793981 - 1.\nAnswer: -2.46666793981","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.9 in -15, -5, -10247?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 54*o - 3. Let n be k(-4). Let r = -325 - -171. Let g = r - n. What are the prime factors of g?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(102)\/((sqrt(108)\/sqrt(2))\/sqrt(9)))**2 + (-4 + (-2*sqrt(68) - sqrt(68)))**2.\nAnswer: 48*sqrt(17) + 642","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2580 + -2552. Calculate the remainder when 138 is divided by f.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:15 AM and 6:12 AM?\nAnswer: 117","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -1483400 to the nearest ten thousand.\nAnswer: -1480000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -665127 (base 11) to base 16.\nAnswer: -10305d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -11? (a) -0.06 (b) 0.1 (c) 4 (d) -82\/9 (e) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -2107354 divided by -11\nAnswer: 2107354\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**7)**(5\/7) assuming f is positive.\nAnswer: f**5","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 2, -4, -104, 0.1, 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 - 0*(-3)\/15.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the third derivative of -p**4\/24 + p**3 + 3*p**2 - 11. Determine n(5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-21)\/30)\/7)\/((-9)\/(-324)).\nAnswer: -18\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -11 - 6 - 31*d + 7*d + 18*d. Let q be l(-4). Let r be (-4)\/18 + q\/(189\/(-14876994)). What is r rounded to the nearest ten thousand?\nAnswer: -550000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nnc when three letters picked without replacement from {n: 3, c: 3}.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 10 - -102?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:23 PM and 2:31 PM?\nAnswer: 128","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -705*t - 550*t - 189*t = 388*t - 58624 for t.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r**3 - 4286*r**2 + 3055230*r - 724295682.\nAnswer: 2*(r - 747)**2*(r - 649)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2 (b) 0.1 (c) -2\/19 (d) 3047 (e) -5\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37756 = 30*d + 17*d - 221919. Is d a multiple of 54?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 142 minutes before 5:29 PM?\nAnswer: 3:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000031898 rounded to seven decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of (-3125)\/(-3 + -2) + -3 + 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4)\/12 - 8\/3. Let r be h*(5 + -1 - 2). Let v(d) = -6*d**3 + 6*d + 2*d**3 + 3*d**3 + 2 + 2*d**3 + 7*d**2. Determine v(r).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of c**3*q**3*u**2 + 2*c**3*q**3*u + c**3*u**2 + 8*c**3 - 27*c*q**3 + q**3*u - 11*q*u**2 wrt u.\nAnswer: 2*c**3*q**3 + 2*c**3 - 22*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*i = v + 16*i - 10539, -v = 4*i - 10538. What is the tens digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 94*v**3 - 66*v**3 - 110*v**3 - 3*v to the form u*v**2 + i + n*v + r*v**3 and give r.\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-9)\/(-4)*(24\/9)\/1\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in one tenth of a minute?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 67 + 1488*t**4 + 1467*t**4 - 2980*t**4 + 30*t**6 - 5*t**2 wrt t.\nAnswer: 3600*t**3 - 600*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 3*d**3 - 2*d**2 - d. Let j(x) = -4*x**3 + 3*x**2 + x - 1. Let f be 89 - 79 - (1 + 11). Let c = -5 - -2. What is c*l(i) + f*j(i)?\nAnswer: -i**3 + i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -720*w + 634*w = -516. Solve 0 = -k + 3*n + 11, 12 = 2*k - 10*n + w*n for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 14\/147 + (-92384)\/(-168)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bc when two letters picked without replacement from cwxwcvcxbcwv?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 - 4. Suppose a = 3*r - 23, -5*a - 11 = 3*r + 32. Find the common denominator of y - (-2 - (-41)\/a) and 39\/11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4 + -2. Suppose c*g - 5*k = -136, 0*g + k = 5*g + 363. Round g to the nearest ten.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (2 + (sqrt(1539) + (sqrt(1539) - (sqrt(1539) + sqrt(1539) + 2)))**2 - (sqrt(608)\/sqrt(2) + -4*sqrt(76)\/sqrt(4))**2) + 5.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -29*d**2 - 2751*d + 309. Determine j(-95).\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 19\/606390 and 191\/3480.\nAnswer: 2425560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -3 + (-3 - -3) - (-15 + 4). Let u(f) = 6*f**2 + 43 - k*f**2 + 21*f + f**2. Calculate the smallest common multiple of 57 and u(22).\nAnswer: 399","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q**3 - 6*q**2 - 3*q + 3. Let o = -56 - -39. Let z = -11 - o. Calculate t(z).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - 13.12781253?\nAnswer: -8.12781253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 17 + -16. Let s = -11\/21 + -1\/7. Put -5, s, x in decreasing order.\nAnswer: x, s, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((228\/(-9))\/19)\/(2\/(-6)). Let n be a\/(-26) - 15\/(-13). What is the greatest common divisor of 97 and n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 0.3 (b) -0.01 (c) -2\/5 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m and 1 d when three letters picked without replacement from mmmmdmmm?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 16*j**2. Let y(q) = -q + 5*q - 3*q. Give y(c(r)).\nAnswer: 16*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0.3, 5\/6, 0, -10\/11, -7\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s\/(s**(-2\/9)\/s*s))**46*(((s*s\/(s**(2\/13)*s))\/s*s)\/s)**(-2\/29) assuming s is positive.\nAnswer: s**(346876\/3393)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -24*x**4 - 320673*x**3 - 120249*x**2.\nAnswer: -3*x**2*(x + 13361)*(8*x + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -454135 = -11949*t + 3692*t for t.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 31 + 14 = 0. Suppose 0 = -v*r + 2 + 1494. Calculate the smallest common multiple of r and 8.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and -5\/3179 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/26*6*(-56)\/588. Let q = 15 - 15. Do i and q have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 240 in -1, 0.4, -1\/5644?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101111 (base 3) to base 16.\nAnswer: -11b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 41.99 - 41.87. Which is smaller: a or -110?\nAnswer: -110","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 28 - 32. Which is the biggest value? (a) 3 (b) u (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d**3 - 18*d**2 + 19*d - 33. What is h(17)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3843.\nAnswer: 3, 7, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17675 is divided by 221.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*o + 6*o + 36. Let b be 6\/10 + 21\/15. Let w(s) = -s**2 + 9*s + 10. Let z(m) = m + 1. Let r(k) = b*w(k) - 22*z(k). Give r(o).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 3 (b) -5 (c) 30\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 73543842?\nAnswer: 2, 3, 31, 43933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 3*q = 27, 0 = 3*h + 4*q - 13 + 42. Suppose -4*c - 21 = 3*y, -2*y - c - 3 - 6 = 0. Let z = h - y. Let m(v) = v - 3. What is m(z)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/5940 and -181\/368820?\nAnswer: 4057020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 55.68425km?\nAnswer: 5568425","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(539)*4 + 3 + (-4*1*sqrt(539))**2).\nAnswer: -51762 - 168*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 435\/7 + -55. Let j be -5 + (8 + -5 - (-1 - 1)). Factor j*z + w*z**2 - 8\/7.\nAnswer: 2*(5*z - 2)*(5*z + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 215563.\nAnswer: 215563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 21\/2 of a kilometer?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2 + 1)*(-8*y**2 + y**2 + 3*y**2) - 1422*y + 11*y**2 + 1422*y - 1.\nAnswer: 23*y**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (f**2 - 21*f**4 - 14*f**2 + 14*f**4)*(-1 - 2 + 1) as c + r*f + z*f**2 + a*f**4 + w*f**3 and give a.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 457079?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 14*c**2 - 518*c - 1602. Give o(-3).\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -23, 3, 1014, -151, -5, -1.\nAnswer: -151, -23, -5, -1, 3, 1014","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 711.1876 rounded to the nearest integer?\nAnswer: 711","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6? (a) 3 (b) -4 (c) 0.5 (d) -0.3 (e) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**2)**(1\/23)*s\/(s\/s**(-1))*s**(-2))\/(s**(-3\/2)\/s**11)**(1\/16) assuming s is positive.\nAnswer: s**(-1569\/736)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.0248 - 0.0248. What is the closest to 2\/17 in 2\/11, 1, a?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 196 + 1925 = 7*v. Suppose 0 = -4*g + v + 153. Suppose 341 = 4*i + h, 0 = -4*i - 2*h + 232 + g. What is the tens digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1*6.17\nAnswer: -6.17","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(-7))\/(98\/9261*-3).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 77*p**2 - 24*p**2 - 24*p**2 - 27*p**2.\nAnswer: 2*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x**3 - 9*x**2 - 37*x + 17. Suppose 0*j = 12*j - 144. Determine o(j).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o + 28 = 34 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 175146 divided by 3\nAnswer: 58382","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(24)\/((sqrt(96)\/sqrt(6))\/sqrt(2) + sqrt(8)).\nAnswer: sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 328*j - 344*j + 48 = 0. Suppose 0 = 5*t - 6*t + 14. Let a be t\/4 + 1\/(-2). Solve f = -4, -15 = 3*x + j*f - a for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.052807774 to 5 dps.\nAnswer: -0.05281","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 10269081, 41076458, 92422087, 164305968, 256728101?\n\"Answer: 10269126*u**2 - u - 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/(-11) + 2392\/(-88) + -4. Put 5, -1, y in ascending order.\nAnswer: y, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 0*q + 2*p + 2 = 0, 0 = 5*q + 2*p. List the prime factors of (-1 - (-152)\/q) + (-2 - -5).\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 576*f - 25334. Determine i(44).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/(-9)*1\/(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((j\/(j*j*j**(2\/25)*j*j*j))\/(((j\/(j**(3\/13)\/j))\/j)\/j*j))\/(j*j**(-4\/7)*j*(j\/(j*j*j**15))\/j))**17)**26 assuming j is positive.\nAnswer: j**(829362\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -p + 211*p**2 + p - 98*p**2.\nAnswer: 113*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*f - 6*g - 45, -f - 5*g = 249 - 227 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1774*q**2 - 1737*q**2 - 44*q**2.\nAnswer: -7*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6808 - 6815. Is b != 1\/656?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15832115 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 cube root of 688 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 133, 632, 1445, 2566, 3989, 5708?\nAnswer: 7717","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k**3 + 47*k**2 - 13*k - 602. Let u be c(-47). Let f be 175\/63 - (-2)\/9. Solve -3*h - u = -f for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v**3\/7 - 1388*v**2\/7 + 16962*v = 0. Calculate v.\nAnswer: -771, 0, 77","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 301810482 to the nearest integer?\nAnswer: 671","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -54 + 151 - 39 + 31*j**2 - 46 - 12.\nAnswer: 31*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -a. Let o be 0 - (-1)\/((-2)\/(-4)). Suppose -3*q = 3*j + 2*j - 10, 0 = 4*j + q - 8. Let l(g) = j - o + g. Give m(l(f)).\nAnswer: -f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 + (-4)\/(-16)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 324 divide 32956700?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the first derivative of -v**8\/280 + v**7\/105 + v**6\/180 - v**5\/30 - 4*v**3\/3 - 12. Let o(d) be the third derivative of i(d). Factor o(y).\nAnswer: -2*y*(y - 1)**2*(3*y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - ((2 - -2) + -2)) + 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 22 + -3. Calculate the remainder when r is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 2, f: 3, x: 4, g: 8}. What is prob of sequence fff?\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r**3 - 6*r**2 + 9*r + 3. What is a(4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 198*n**4 + 76 - 251 + 1037*n**3 - 1037*n**3 wrt n.\nAnswer: 792*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 - 9 - (-1 - -4) - (36 + -49)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-4)\/(((s*s\/(s\/(s\/(s\/s**(2\/9)))*s))\/s)\/s))\/(s**(2\/3))**4)\/(s**(-5)\/(s**1\/s))**(-48) assuming s is positive.\nAnswer: s**(-2204\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g**2 + 3*g + 4. Let c be v(5). Let a be (2 - 4\/2) + c. Calculate the common denominator of -21\/5 and (275\/(-20))\/(a\/(-4)).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l + 12. Let f be z(11). Let b(q) = q**3 - q. Let m be b(f). Suppose -3*s + 171 + m = 0. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the second derivative of 9*r**7\/14 + 21*r**5\/20 - r**4\/6 + 584*r**3\/3 - 139*r. What is the third derivative of i(z) wrt z?\nAnswer: 1620*z**2 + 126","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 160 and 544.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t*t**(-1\/3)*t*t)**(-2\/3)\/(t**(4\/27)\/t**(-33)) assuming t is positive.\nAnswer: t**(-961\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 85326781 - 1036*t**2 - 85326781 + 6914*t wrt t.\nAnswer: -2072","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s - 25 = 0, 5*g = -8*s - 2*s + 125 for g.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o = -24*r + 32, 134*o - 131*o = 4*r - 38 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -26 + -1 + (13162 - 13060)?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gz when two letters picked without replacement from edvzvgg?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -30735, -123068, -276955, -492396?\nAnswer: -769391","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*g - 2*g + g + 0*g + 0*g + 2*g - 2*g + g + 0*g + (-5 + 0 + 1)*(2*g + g - g) + g + g - g.\nAnswer: -2*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 769*k - 729*k = 640 for k.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -2*n + 1. Let w be y(-1). Let a = 132689 + -408688. Let k be (-2)\/6 + a\/w. Round k to the nearest ten thousand.\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -8 and -19202700.94.\nAnswer: -19202708.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 303*0.2\nAnswer: 60.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 4 = -3*o. What is the tens digit of o*(-159)\/12*2?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - -4 - (-34 + 36) - -5.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6828389*z**4 - 8400240*z.\nAnswer: 81940668*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -1bf (base 16) to base 4\nAnswer: -12333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-30)\/3*-2*(-9)\/(-135)?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = -5*h + 6, -2*h + 4*y = -5*h + 8. Suppose -4*t + h*t + 32 = 0. What is the second derivative of -3*c + 8*c**2 + c**4 - t*c**2 wrt c?\nAnswer: 12*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -649 + 1136. Let u = a - 483. What is the smallest common multiple of u and 10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-2\/5))**(-2\/87))**(-33) assuming b is positive.\nAnswer: b**(-44\/145)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 1\/5, -1, -0.05, -4, -1906?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*j**3 + 5*j**3 - j**3)*(-23*j - j - 7*j)*(9 + 5 - 4).\nAnswer: -620*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5 + 0. Suppose -2*l - 39 = -31. Let f(w) = 9*w + 17. Let v(d) = -5*d - 10. Let c(u) = l*f(u) - 7*v(u). What is c(h)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u = u + 112. Let o = u - -183. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.362654 to one dp.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 10 in -2102\/17, 0, -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 4*r + 8. Let y be a(17). Let k = 204 - y. Is 12 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -18*q. Calculate the lowest common multiple of 14 and r(-1).\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 122*a = 121*a - 202, 0 = -j + a + 49. What is the remainder when 10095 is divided by j?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 16) in base 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3088, 11474, 25182, 44212, 68564, 98238?\nAnswer: 133234","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00012147784497 to five decimal places.\nAnswer: 0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2003120 - -10?\nAnswer: -2003110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -6*f + 9. Let y(v) = -6*v + 12. Let s(a) = 4*b(a) - 3*y(a). Let o(x) = 110*x. Calculate o(s(g)).\nAnswer: -660*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 15235?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1, 1.02, -2\/31?\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 10 - 78?\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1076, 2309, 3542, 4775, 6008?\nAnswer: 7241","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 115 is divided by 14?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the second derivative of b**3\/6 + 5*b**2\/2 + 2*b. Let i be t(-6). Which is greater: 1\/11 or i?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 21 + -16. Solve 3*c - 5*u = 13, i*c - 1 = -u + 2 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*((0 + sqrt(847))*2 - -6*-2*sqrt(847)) + 3)**2.\nAnswer: 3960*sqrt(7) + 3049209","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*(sqrt(171) - (-1 + sqrt(171))) + (sqrt(171) + -1*sqrt(171))*2)**2 + -3)*4.\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -t**3 - t. Let d = -67 + 66. Let a(k) = 10*k**3 - 8*k - 10. Let z(y) = d*a(y) + 8*p(y). Differentiate z(f) wrt f.\nAnswer: -54*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -537336 or -537346?\nAnswer: -537336","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*q + 654 - 538 = -409 for q.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.27 + -100.9?\nAnswer: -101.17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -h**2*k**2 - 45*h**2*k - 2*h*k**2 + 29*h*k + 657*k**2 wrt k?\nAnswer: -2*h**2 - 4*h + 1314","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 0*a = -a - 120, 4*k + 2*a - 108 = 0. Suppose 0 = -9*i + k + 16. Solve -x = 5*b - 20, -i - 3 = -5*x - 2*b for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 42\/(-12)*24*22\/7392\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = j**2 + 5*j - 7. Let n be b(-6). Let l = 102 + -61. What is the remainder when l is divided by n*4*14\/(-4)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 633762 by -1233.\nAnswer: -514","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.07 * -333061.\nAnswer: 23314.27","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 35623 a multiple of 187?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 4\/3066809?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 5 + 3 - 3 - 1 - 41*x**3 - 5 in the form r*x**3 + o + z*x**2 + i*x and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-2)\/4)\/((-1)\/(-6)). Let m be 7\/84*(-4)\/z. Let q = -1.17 - -1.07. Which is the nearest to q? (a) 2 (b) m (c) 2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 2*x**2 - 8*x - 5. Let r be h(5). Suppose -4*j + r*y - 292 = 0, 0 = -2*j + 2*y - 0*y - 148. What is the tens digit of (-13 + 15)\/((-4)\/j)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -11*k + 38 - 38 + (-2*k - k + k)*(3 + 59 - 1) as p*k + o and give p.\nAnswer: -133","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 95 and 380?\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 50471775 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -18.64 - -19. Let o = l - 0.06. Which is smaller: o or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -83\/260 and -17\/269295?\nAnswer: 1077180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 315*m + 25 = 310*m, m = -3*s - 5 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 82\/49?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -0.5, -23, -3, -37484, -0.3, 2, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r**3 + 5*r**2 - r + 7. Let u be g(5). Let v be 2 - (-1)\/((-1)\/u). Solve v*l + 10 = -5*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3, -1\/3, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 27334.156 to the nearest 100.\nAnswer: 27300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -75*m = -124*m + 34*m - 450 for m.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 242518 to the nearest integer?\nAnswer: 492","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4\/(-6)*(-75)\/10. Suppose -t*p - 252 + 67 = 0. Round p to the nearest 10.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = j - 16. Let t = j + -1. What is the remainder when t is divided by (-2)\/(-4) - 5\/(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -986, -910, -720, -410, 26, 594, 1300, 2150?\n\"Answer: k**3 + 51*k**2 - 84*k - 954","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 469 + -390. Calculate the remainder when a is divided by 27.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 465*c**3 + 2*c**2 - 5137.\nAnswer: 1395*c**2 + 4*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -43188\/3061 or -15?\nAnswer: -43188\/3061","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 138442?\nAnswer: 2, 69221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in 0.3, 1\/272, 5, -9, -3, 0.34?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -43 + 47 + (-2 - -6). Let q be u\/20 - 391\/(-85). Sort -5, -33, -3, q.\nAnswer: -33, -5, -3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -92947.9*2.39\nAnswer: -222145.481","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6317 is divided by 67?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 14281 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -125 - 110 - 6*u - 27 + 55 + 4*u as g*u + k and give k.\nAnswer: -207","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5135 = 748*u + 891*u - 21269 - 81770 for u.\nAnswer: 66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-108)\/(-162))\/(6\/(-9))*(-918)\/(-18).\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -457112 divided by 2.\nAnswer: -228556","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 4*o + 21. Let l(v) = -7*v - 42. Let m be (-3 - -6 - 0)*-1. Let d(z) = m*l(z) - 5*f(z). Does 7 divide d(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -2*o**3 - 2*o**2 + 2*o - 1. What is w(1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Add together 7911060877 and 0.1.\nAnswer: 7911060877.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 293 + -368 + 1140\/100 + 2\/(-5).\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*q + 4*q + 3*q)*(-2 - 18 - 36) - q + 2*q + 0*q + (2*q - 2*q + 2*q)*(-3 + 1 + 1) - q - 4*q + 4*q as s + j*q and give j.\nAnswer: -170","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-one fifths of a meter in centimeters?\nAnswer: 1420","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -17*p - 1130 + 1130. Let i(w) = -w**2. Give i(g(z)).\nAnswer: -289*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in fifty-nine quarters of a minute?\nAnswer: 885","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 636549?\nAnswer: 3, 212183","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 3607.82 * -0.3\nAnswer: -1082.346","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 983174809 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1527 (base 8) to base 11.\nAnswer: 708","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 5*k**2 - k. Let v be d(1). Suppose v*m - 5*z + 6 = 101, -3*z - 29 = -m. Solve -4*f = -f - 5*g, m = -f - 5*g for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - -11) + 353 + -371.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(66)*-2 + sqrt(66))\/sqrt(6).\nAnswer: -9*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 299 + -293. Let b = q + 89.7. What is b rounded to the nearest ten?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3101*q**2 - 270*q**3 - 3101*q**2)*(-2*q + 10 - 9 + 6*q) to the form y*q + t*q**3 + l*q**2 + s + x*q**4 and give x.\nAnswer: -1080","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 360 and 54.\nAnswer: 1080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13147?\nAnswer: 13147","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -4581.39 take away 0.04?\nAnswer: -4581.43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 171*z - 319. Calculate the lowest common multiple of m(5) and 16.\nAnswer: 1072","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 7 + (6 - 9 - 3).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 11) in base 10?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1105, 8807, 29709, 70411, 137513, 237615, 377317?\n\"Answer: 1100*y**3 + 2*y + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 37 = 4*p, 2*p - 5*p + 3*j = -48. Calculate the remainder when 18 is divided by p.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 756101 smaller than -10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -2 - (0 + -3 - 3) - ((-207 - -120) + 86)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the first derivative of 27*n**4\/32 + 3*n**3\/2 + n**2 - 3*n + 21. Let d(u) be the first derivative of o(u). Factor d(g).\nAnswer: (9*g + 4)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = f - 6*f. What is the units digit of (-10 - -5)\/(11\/(-5) + f)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 231824.1 kilograms to micrograms.\nAnswer: 231824100000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 24634 and 16272.\nAnswer: 1773648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34 = 2*q - 4*h, -3*h = -q - 5*h + 9. Let n(m) = -m**3 + 11*m**2 + 9. What is the lowest common multiple of n(11) and q?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -304 + 307. Solve 4*i = -r*c - 2, -3*i + 2*i + 1 = 0 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 102996 and 74232.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the second derivative of 199*i**6\/15 - 815*i**2 + 2262*i - 2. What is the derivative of v(r) wrt r?\nAnswer: 1592*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1536 and 16.\nAnswer: 1536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 16*s + 159. Let v be r(-7). Calculate the greatest common divisor of v and 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -312.8 and 15971.5.\nAnswer: 15658.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 669.744l to millilitres.\nAnswer: 669744","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3005 and 85.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 462084768?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -18*(-1)\/5 + 21\/(-35). Suppose -s*h = -100 - 104. What is the units digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3481\/3 + 1163. Factor 0*l - 2\/3*l**2 + s.\nAnswer: -2*(l - 2)*(l + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16\/(43192\/(-3928) - -11)?\nAnswer: 2, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 2*j**3 - 6*j**2 + 3*j - 3. What is a(3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/40 and -15\/16.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 234 = -166*t - 430. Sort t, -2, 7, -12 in decreasing order.\nAnswer: 7, -2, t, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 278 + -191. Let f = 11 - c. Let u = f - -160. Is 14 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the first derivative of 3*h**2\/2 - 55. Let q(l) = 1083*l**2 - 679*l**2 - 553*l**2. What is p(q(v))?\nAnswer: -447*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*x + 31 - 7. What is the remainder when x is divided by (-2)\/(-7) + (-38)\/(-14)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide (-2442)\/8*(-120)\/90?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2534250889 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -88 * -27\nAnswer: 2376","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.4 and -0.16284.\nAnswer: -0.56284","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l = 2*w + 18, 234*w - 3*l - 22 = 112*w + 113*w - 7 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.01 from 0.1682.\nAnswer: 0.1782","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8 + -312. Let v(x) = -3*x**2 + 15*x - 13. Let t be v(10). Let c = t - s. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 613 = -62*f + 2783. Solve 5*v + f = -4*l, 3*l + 17 = -4*v - 10 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 6 + 1060\/(-5) + 8. What is the common denominator of 276\/f + (0 + 2 - 2) and 20\/9?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(4050) + 0 - sqrt(4050))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is b in -3*b**4\/5 + 696*b**3\/5 - 29733*b**2\/5 + 5808*b = 0?\nAnswer: 0, 1, 55, 176","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 516\/11 + -116122\/2475. Let m = i - 133\/225. What is the nearest to -1\/2 in -3, m, 5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 66363 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: b\"What is the hth term of 963, 962, 961?\n\"Answer: -h + 964","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 116*t + 1096. Determine u(-11).\nAnswer: -180","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 7*v + 1225 = 0. Let t = 6\/6751 - -3382239\/13502. Let b = v + t. Find the common denominator of 151\/12 and b.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in two fifteenths of a hour?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -8*j**3 + 598*j**2 + 146*j + 281. Calculate g(75).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21637147.\nAnswer: 7, 3091021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + a + 6 = -3*a, 0 = 5*a + 15. Suppose -3 = c*w - 6*w. Let g = -10223\/25595 + -3\/5119. What is the nearest to g in -0.4, w, 7?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.8 in 3, 425, -1\/10?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 2 - 2*a + (-3 + 4 - 2)*(2*a + 4*a - 3*a) - 4*a + 7*a - 11*a - 3*a + 2*a + 2*a in the form v*a + n and give v.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(243) - (0 + sqrt(243)*-2 + sqrt(243))) + 5)**2 + (-4 + (sqrt(243) + 1)*-4)**2.\nAnswer: 756*sqrt(3) + 4949","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = n + 4*p, 6 = -n - 0*n - 5*p. Let x(v) = -2399*v**2 + 3*v + 2. Let a be x(n). Round a to the nearest one thousand.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 (base 9) in base 8?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 3*k + 6 = 3*o, 0 = -2*k - 6. Which is the nearest to -0.1? (a) -0.02 (b) o (c) 2\/19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 8*o**3 + 2. Let t(a) = -16*a**3 - 5. What is 5*p(l) + 2*t(l)?\nAnswer: 8*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 77095785?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: What is (2 - (12 + -22)) + -7?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 266*b*k*y - 3*b*k - 5*b*y + b + 27*k - 54 with respect to y.\nAnswer: 266*b*k - 5*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 11\/39 - -2\/39. Sort -3, 4, -18\/7, s.\nAnswer: -3, -18\/7, s, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -121247, -121251, -121255, -121259, -121263, -121267?\nAnswer: -121271","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (5 - (-65)\/(-15)) + (-10)\/24. Which is the second biggest value? (a) -2\/11 (b) -0.1 (c) 3 (d) u\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 456730858?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-32 - (-33 + 12)) + 2.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((132\/40)\/(-11))\/((-25)\/(7500\/24)). Let h be -1 + (-1 - (-33)\/12). Factor -9\/2*a + h + m*a**2.\nAnswer: 3*(a - 1)*(5*a - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -37361*f + 186801. Calculate m(5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from adukudp. Give prob of picking 1 a, 1 p, and 1 k.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 785102 is divided by 15702?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 159 a factor of 644939616?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q - 22*u = -24*u - 7 + 21, 5*u = 25 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*a + 7*g - 9*g + 8982, -4*g + 5392 = 3*a. List the prime factors of a.\nAnswer: 2, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by -8615.\nAnswer: -1\/1723","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 94129 is divided by 63.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:26 AM and 6:16 PM?\nAnswer: 710","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/9 and -121\/160040.\nAnswer: 1440360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sspspnspnnnsppppp. What is prob of sequence spps?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = 7*d - 20, -5*j = -2*d + 15. Let u(b) be the third derivative of -7*b**4\/12 - b**3\/6 - b**2. Is u(j) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 26414368?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -4*d**2. Let q(f) be the first derivative of f**4\/4 - 7*f + 1. Let m(x) be the first derivative of q(x). Give c(m(n)).\nAnswer: -36*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = -4*n + 32, -n - 5*t - 25 = -2*n. Suppose 18 = -n*r + 33. Suppose -2*m + 2*u + 0*u = -52, r*m = -u + 62. Which is smaller: 23 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(-3)*((-902)\/176)\/(-41)?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2.16 + 2.16103. What is o rounded to four decimal places?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*(-34 - -23)\/(-110).\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3*o**3*r*x + 50*o**3*r + 130*o**3 - 1895*o*x wrt x?\nAnswer: -3*o**3*r - 1895*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 10 divided by -378308\nAnswer: -5\/189154","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1882 + 1702. What is the units digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4457, 4459, 4461, 4463, 4465?\nAnswer: 4467","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*t - 5*z = -3*t - 50, -4*z = 3*t - 38. Suppose 5*u - t = 5. Suppose -4*p - 13 - 8 = -5*n, 4*n + u*p - 23 = 0. Solve n = 3*q - 1 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1895.61471 rounded to the nearest 100?\nAnswer: 1900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -15113, -2\/11, 2\/17, 3\/13, -1?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -296 + 299. Suppose -3*g + 5*k + 23 = 0, -q*g + g + 4*k = -18. Let u be (-1)\/(-5)*15\/78. Which is smaller: u or g?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 8331 + -31b?\nAnswer: 8012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 75 = 4*z, 24 = 4*s + 16*z - 20*z. Let n(k) = -3*k**2 + s*k**2 + 9*k + 4967*k**3 - 6 - 4968*k**3. Determine n(9).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1441 a factor of 110462445?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 90043*f**2 + 90041*f**2 - 270185*f**2 + 90100*f**2.\nAnswer: -f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -9*k + 218. What is y(25)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 4*x = 28, -4*q - 4*x - 7 = -19. Let t = 938 + -937. Which is the closest to q? (a) 2 (b) t (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the second derivative of 2*j**7\/21 - j**3 + 3*j. Find the second derivative of d(t) wrt t.\nAnswer: 80*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*y**3\/7 - 234*y**2\/7 + 2292*y\/7 + 792.\nAnswer: 3*(y - 66)*(y - 14)*(y + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = 31 + 61. Let b = -23 + w. Let m be (5 - b)\/((-10)\/(-4)). Solve m*s = 5*s - 15 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -554257 + -6?\nAnswer: -554264","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**2 + 1186*u - 351649.\nAnswer: -(u - 593)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -4*c**3 + 19*c**2 + 7*c - 8. Let z be q(5). Solve 0 = 5*y - 2*i + 5 - z, -4*i + 1 = -5*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 11 - -61223?\nAnswer: 61234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 367 and 117440.\nAnswer: 367","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-590)\/(-22) + 2\/11. Let k be (v\/(-18))\/(3\/(-10)). Let z(r) = -9*r - 1 - 2*r + 3*r - k*r. What is z(-1)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -7 + -2428?\nAnswer: -2435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b. Let r be x(4). Let l = 4 + r. What is the smallest common multiple of l and 50?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 3 - 2 + (-2 + 3 - 2)*(-4 + 0 + 2) - 1 - 2 + 1)*(3*k - 7*k + 2*k) + 31551 - 31551 - 100*k.\nAnswer: -106*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 91798219 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - 1) + 2 + 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x**(4\/11)*x*x*x\/x**(-8)*x*x**(-2\/29)*x**(1\/2)*x)**(-16\/3))**40 assuming x is positive.\nAnswer: x**(-3020480\/957)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (9 - 2) + 1*(-15 + 3). Let s be 2*(41\/(-2))\/1. Sort s, p, -1 in descending order.\nAnswer: -1, p, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 20976 and 518512?\nAnswer: 368","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = 5*m + 16, -16 = -4*q + m + m. Suppose 3*a + 3*s = 6, -3*s - 5 = -q*a + 4. Suppose -5*v = -a - 17. Solve -v*t + 9*t - 5 = 0 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1511331?\nAnswer: 3, 503777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -50423651, -100847290, -151270931, -201694574, -252118219, -302541866?\nAnswer: -352965515","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that -a**5 + 66*a**4 + 32*a**3 - 5910*a**2 - 25375*a - 19500 = 0.\nAnswer: -5, -1, 12, 65","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 139*z + 44*z + 268*z to the form u + l*z and give l.\nAnswer: 451","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h - 19 = -3*m, 0 = 2*h + 7*m - 3*m - 22 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4253989500 + 4253989517.69999913. Let a = -203.7 + 186. Let n = a + d. Round n to 7 dps.\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1497 = 10*y + 2433. What is the common denominator of -145\/6 and y\/324 - 27\/36?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l**4\/10 - 43*l**3\/10 - 218*l**2\/5 + 48*l = 0 for l.\nAnswer: -24, -20, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (6\/15)\/(366\/37515)\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the first derivative of -q**2\/2 + 4*q + 1. Let j be r(6). List the prime factors of ((-70)\/j)\/(1 - 0).\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 27 - 14)*(-6 - 1 + 3)*(x**5 + 0*x**5 - 2*x**5) - 876*x**5 + x**2 + 1739*x**5 - 873*x**5.\nAnswer: 34*x**5 + x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Are 2772 and 2777 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1134097 to the nearest integer?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.14 * -9.1.\nAnswer: -1.274","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 351823975 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-5)\/((-20)\/36) + -1. Let a(j) = j**3 + 24*j**2 - 25*j + 2. Let k be a(-25). What is the second smallest value in k, -0.2, p?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -59*c = -160*c - 808 for c.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 91\/8*(-397)\/((-965107)\/1122).\nAnswer: 21\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9778, -19541, -29304, -39067, -48830?\nAnswer: -58593","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 149928 and 149928.\nAnswer: 149928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(3\/2)*l\/l**(1\/11)*l**17*l*l\/l**(-9)*l assuming l is positive.\nAnswer: l**(691\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the third derivative of 1\/600*p**6 + 1\/50*p**5 - 1\/3*p**3 + 19*p**2 + 0*p + 0 + 1\/40*p**4. What is i in v(i) = 0?\nAnswer: -5, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*n = 10*n - 170. Let i be 7892\/14 + (-4)\/(-14). Let q = i + n. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 2*d = 56. Suppose 4*k = 2*k + 34. Let r = 42 - k. What is the remainder when r is divided by d?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that -p**4\/7 - 195*p**3 + 26197*p**2\/7 - 136935*p\/7 + 112104\/7 = 0.\nAnswer: -1384, 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 14, p: 5}. Give prob of picking 1 u and 3 p.\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -991*w**2 - 1024*w**2 + 92*w + 2083*w**2.\nAnswer: 68*w**2 + 92*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + p + 2*p + 22 = 0, -5*p = q - 24. Does 3 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6 + 8. Suppose z = q*z + 12. Let p be (-1)\/(-6) + (-46)\/z. Solve -2*n + 0*n = p for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 7070 and 0.758.\nAnswer: 5359.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-6))**(-4\/17)*(h\/(h**(12\/5)*h))**(11\/6) assuming h is positive.\nAnswer: h**(-254\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 43 = -9. Put -1, g, 0, -4, 1 in increasing order.\nAnswer: -4, -1, 0, 1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-31*(-69)\/39215*-60)\/(6\/(-4))\nAnswer: 24\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*g = 1630 - 5844. Suppose -q = 3*i - 242, -6*i + g = -2*i - 3*q. Let h = 394\/5 - i. What is the closest to 0 in 2\/13, -0.02, h?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 230891 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 131434757 is divided by 11461?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 3*b**3 + 4*b**2 + b + 27. Suppose -13*p + p + 60 = 0. What is the tens digit of k(p)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s when two letters picked without replacement from {s: 3, p: 15}?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -5*u. Let q(x) = -268*x. What is q(l(b))?\nAnswer: 1340*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 349, 365, 381, 397, 413, 429?\n\"Answer: 16*w + 333","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((3\/(-6))\/1 + 1)*14. Suppose 5*a + 3*i = 15, -i = -a - 3*i + 10. Suppose g*o + 16 - 79 = a. What is the units digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 13 + -13. Let d(s) = 5*s + 4. Let n be d(-3). Let p = n - -28. Solve i = 5*m - c - p, -3*m + 8 = -c - 1 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by -113246?\nAnswer: 1\/56623","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 6418913 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-11276)\/(-6)*(0 - -3). Let a = w + -33971\/6. Suppose 0 = -13*r + 6*r + 161. Calculate the common denominator of a and r.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the second derivative of 5*v**3\/6 + 6*v**2 - 8*v. Does 7 divide p(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3610 (base 8) to base 15\nAnswer: -888","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a - 14 = -44, 3*a + 3 = 2*f - 23 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 87062 + 276219. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 600, 2923, 6762, 12117, 18988, 27375?\nAnswer: 37278","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (j + 0*j + 0*j)*(-12*j + 18*j - j**3 - j**3).\nAnswer: -2*j**4 + 6*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 228.811 - -0.189. Let f = t - 233. Which is the second smallest value? (a) 1 (b) f (c) -0.07\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 23 + -26. Sort w, 5, -12.\nAnswer: -12, w, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 111 + -49 - (7 + -6 + -14).\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 36155 + -26171. List the prime factors of g.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -60730 by -1540.\nAnswer: 6073\/154","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in three eighths of a millennium?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 20664 to the power of 1\/2, to the nearest integer?\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.11? (a) 0.4 (b) 17 (c) 5 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 978746480 to the nearest one hundred thousand.\nAnswer: 978700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 3*b + 4. Let j(q) be the third derivative of q**4\/24 + q**3\/3 - 5*q**2. Calculate 5*j(z) - 2*s(z).\nAnswer: -z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 divided by 5754824.\nAnswer: 3\/1438706","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.849918ml in litres?\nAnswer: 0.004849918","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 12*k + 15. Let t(i) = i + 1. Let h = -3 - -2. Let l(v) = h*f(v) + 15*t(v). Give l(1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -149*k + 454*k - 150*k - 154*k.\nAnswer: k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 3, 2, -4, 9, -2 in increasing order.\nAnswer: -6, -4, -2, 2, 3, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1013311 - 13203103?\nAnswer: -12123132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 23243 + -23241. Factor 0 + 1\/4*v - 1\/4*v**y.\nAnswer: -v*(v - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, 1, -4, 2 in increasing order.\nAnswer: -4, 1, 2, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3888?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Are -2803 and -2800 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1111 or -2\/4987?\nAnswer: -1111","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-72)\/(-48)*4\/3)\/((-28)\/98)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-17)*y**(-1))\/(y**(-2\/29)*y\/(y\/(y**(-1\/19)*y))) assuming y is positive.\nAnswer: y**(-10402\/551)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c**3 + 4*c**2 + 6*c - 2. Let s be f(5). Let m = -3 + s. Is -1 + 0 - (-50 + m) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.05035657 rounded to one decimal place?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8162 or 546858\/67?\nAnswer: 8162","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20740?\nAnswer: 2, 5, 17, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seven quarters of a litre?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 31338989?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the second derivative of 0*a**2 - 2\/3*a**3 + 8*a + 0. Let q(t) = 0 + 0 - 2*t. Calculate q(b(i)).\nAnswer: 8*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*q - 1475*q**3 - 1480*q**3 + 36*q**2 + 2953*q**3 in the form o*q**2 + b*q**3 + t*q + x and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -10, -4, -2, 148 in descending order.\nAnswer: 148, -2, -4, -5, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 - (17 - (29 - 12)) - 3?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 83*v + 120*v + 52*v.\nAnswer: 255*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1009764 a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -28, -2\/7, -0.19, -1.\nAnswer: -28, -2, -1, -2\/7, -0.19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -138, 0.4, 3, 89, -4.\nAnswer: -138, -4, 0.4, 3, 4, 89","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/9, 1\/5, -2194, 5, -6 in decreasing order.\nAnswer: 5, 2\/9, 1\/5, -6, -2194","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.09 - 0.49. Let g = -0.8 - t. What is the second biggest value in -2\/9, -3, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9\/(-12)*(-140)\/70 - 33\/(-6).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*k**2*r**3 + 42*k**2*r - 488*k*r**2 - 720*r**3 - 3*r**2 + 3 wrt k.\nAnswer: 4*k*r**3 + 84*k*r - 488*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x**3 + 119*x**2 - 5968*x + 193. Calculate i(38).\nAnswer: 117","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2, 3, -855, -0.5, -4, 4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l**3 + 15*l**2 - 40*l + 15. Calculate b(12).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2 - 4 - (-280)\/(-4). Calculate the least common multiple of (-3)\/((n\/20)\/6) and 6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 6 - 3 - 3 + 2 - 2200001*k. Let t be m(2). Round t to the nearest one million.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6214491 times 5\nAnswer: 31072455","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is a - -6179c?\nAnswer: 617a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 3*j**2 - 3*j - 4. Determine q(0).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3.4, 11, 0.14?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -123700658, -247401315, -371101972, -494802629, -618503286, -742203943?\nAnswer: -865904600","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4)\/(-10) - (-92)\/(-5). List the prime factors of (-1 + -2)*60\/k.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -222102101202101 (base 3) to base 14.\nAnswer: -1c173d1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ccccjcjccjj. Give prob of picking 4 j.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -9*r**3 - 27*r**2 - 304*r + 107. Is n(-27) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1176*f**2 + 2349*f**2 + 315 - 1173*f**2 + 336*f**3 wrt f?\nAnswer: 1008*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 7*q + 5. Let n be x(2). Suppose 5*k - n - 6 = 0. Suppose 0*d - 10 = -k*d. Solve -5*v + 15 = -d*s, 22 = -4*s + 2 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = -0*u - 4*v + 4, 2*v - 17 = -3*u. Suppose 0*l + 3 = -u*l. Let b(h) = -16*h**3 + 2*h**2 + 2*h + 1. List the prime factors of b(l).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 5*y + 23 = 0, 3*x = 4*x + 4*y + 10. Suppose -6*c = -x*c - 152. What is the tens digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o**2 + o - 3. Let y be c(2). Let -39*w**2 - 20 + 21*w**2 + 9 - 40*w - 13 - 2*w**y = 0. What is w?\nAnswer: -6, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -327210, -654425, -981640, -1308855, -1636070?\n\"Answer: -327215*d + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -k - 50*k**3 + 575*k**2 - 8 - 575*k**2 + 4 wrt k?\nAnswer: -300*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1172 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -61\/952 and -19\/136.\nAnswer: 952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 2*c**3 + 5*c**2 - 2*c + 4. Suppose 5*w + 11 = -2*o, 13*w - 7 = 12*w - 5*o. Give d(w).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -88*s - 108*s = 3969 - 13769. Calculate the remainder when 975 is divided by s.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2317898 and 2950052?\nAnswer: 32450572","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5 - -62?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1515 + -1515.1. What is the closest to -0.3 in 3, j, -3\/11?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 240\/(-45)*(-3)\/4. Suppose u*l - 28 - 43 = 5*g, -13 = -2*l - 5*g. What are the prime factors of l?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 96.97616ng to grams.\nAnswer: 0.00000009697616","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2 + 3. Let s(y) = -34*y + 5. Let d(m) = 34*m - 6. Let c(l) = -5*d(l) - 6*s(l). Let o be c(p). What is the highest common divisor of o and 51?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 317619367 and 1049?\nAnswer: 1049","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*z - 45 = -261*s + 262*s, 0 = 4*s + z - 22 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 27 and 3699.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*z - 5*z = 10. Suppose 5*i - 92 + z = 0. Calculate the smallest common multiple of i and 22.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -92448011, 2, 1\/5, -1 in increasing order.\nAnswer: -92448011, -1, 1\/5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1399 + -637. Is 1 - (-2)\/(4\/q) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -8*n**3 - 4*n**2 - 22*n - 13. Let q(k) = -2*k**3 + 2*k**2. Let l(f) = -2*q(f) - w(f). Find the first derivative of l(p) wrt p.\nAnswer: 36*p**2 + 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pjh when three letters picked without replacement from wwjhgjhhwghjphhhjw.\nAnswer: 7\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2 + 2. Let f be c + 8 - (-2 + 1). Let r be 48*(0 + 2) - -3. Calculate the greatest common factor of f and r.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 163332910*m**5 - 11564060*m**2 + 2*m - 1 wrt m?\nAnswer: 9799974600*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 1395?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:51 PM and 5:21 AM?\nAnswer: 690","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8 + -11. Let z = -8 - l. Let n(r) = r**2 - 13*r + 4. Let u be n(13). Which is the nearest to -0.1? (a) u (b) -1\/3 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 733*k = 1345*k - 711*k + 2871 for k.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/1983 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 55.4 * -8.\nAnswer: -443.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1*((2 - 0) + 18\/(-6)). Suppose -24 = -5*n + o. Solve 1 = -n*v - 24 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 391*k - 2478 = 4908 + 10893 - 2248 for k.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 33397691 to the power of 1\/5, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3 - (-2*1)\/(-1). Let k be (-8)\/(-6)*(-3)\/v. Let f(u) = u + 5. Let a be f(k). Which is greater: a or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c. Let s(n) = 8*n + 7. Calculate -6*i(b) - s(b).\nAnswer: -2*b - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1965 and 14410.\nAnswer: 43230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*v**3 + 4*v**3 + v**3 + v**3.\nAnswer: -6*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 110200 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -50*j + 692. Determine n(14).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 54 in 1\/4, 4, -4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is bf + 5?\nAnswer: c4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = -2*m + 4*f + 6, -3*f = 6. Let b be (-1)\/(-2) + 2\/m. Let j = b + 1. Solve r + 12 = 3*w, 0 = -j*r - 0*r - 2*w for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -0.3 (b) 2\/9 (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 296*m*z**2 + 312*m*z wrt z.\nAnswer: 592*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*h + 2*h - 12. Suppose -4 = 2*s - p, h*s - 4*s - 3*p = 2. Is -2 equal to s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3740750082?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g**3 + 2*g**2 + 9*g + 6. Calculate o(-3).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 5*v**2. Let l(n) = -2*n - 2*n + 5*n. Determine r(l(u)).\nAnswer: 5*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-912*z + 912*z - 62*z**2)*(2*z**2 + 3*z**2 - 4*z**2 + (-3*z + z + z)*(-4*z + 4*z - 2*z)).\nAnswer: -186*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*l + 19*l - 11165. Suppose l = 28*a - 85. Calculate the smallest common multiple of 18 and a.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3196 to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 4702.7 to the nearest one thousand.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36944*w**3 + 73886*w**3 - 36941*w**3.\nAnswer: w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 8*k**6 + 1 - 91*k**6 + 2*k**2 - 15 wrt k.\nAnswer: -9960*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1378.7 - 1382.7. Let u = -757\/6 - -127. What is the third biggest value in u, n, 3\/8?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 2*r + 5.\nAnswer: 2*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 2\/3, 1\/15, -0.3, 0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 231, 3387, 12403, 30207, 59727?\n\"Answer: 488*v**3 + 2*v**2 - 266*v + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2026 is divided by 21.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 209*p - 14 = 202*p. Let y be (p*(-165)\/(-10))\/(2\/14). Is y <= -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9709 and 18907.\nAnswer: 511","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.1 (b) 2\/11 (c) -2 (d) -0.3 (e) -2087\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -6*f + 12. Let i(d) = 2*d**3 + 15*d**2 + 18*d + 2. Let a be i(-6). Let z be o(a). Solve 0 = -z*r + r + 5 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 22 + -4. Suppose -3*w = 4*b - 25, 2*w - 3*b + 2 + 4 = 0. Suppose -2*k = -w*k + 2*y, y + 27 = 5*k. What is the lowest common multiple of l and k?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1126*d**4 - 323*d**2 - d wrt d?\nAnswer: -27024*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the third derivative of 7*g**4\/4 - 13*g**3\/2 - 5*g**2 + 3*g. What is the tens digit of q(6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 27, 2\/5, -3\/2, 0.1?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2142? (a) 1\/8 (b) -0.4 (c) 0.3 (d) 4 (e) 26\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1437*x**3 + 532*x**3 + 347*x**3.\nAnswer: 2316*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -44126 - 8825?\nAnswer: -54052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 - -6 - (5 - 17)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -169\/70 + -3\/35. Let y(r) = -r + 3. Let m be y(5). Which is the second smallest value? (a) -2\/11 (b) m (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8927, 15806, 22685?\nAnswer: 29564","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -942, 0.05, 1, 3\/2, 2?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the third derivative of 1\/280*s**6 - 1\/140*s**5 + 0*s + 0*s**4 + 0*s**3 + 3*s**2 + 3. Solve b(h) = 0 for h.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -3*x - 9. Let g = 10 - 6. Let w(a) = 5 + 2*a + g*a - 4*a + 0*a. What is -4*f(d) - 7*w(d)?\nAnswer: -2*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -16\/213877 <= 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*c + 2*c - 14 = 9*c for c.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1330 (b) 2 (c) -5\/4 (d) -4 (e) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4345 - -1?\nAnswer: -4344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6353*x - 580*x + 1939*x + 10584*x + 349*x.\nAnswer: 18645*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 868\/(-372)*(2 + 80\/(-42))?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -260, -3, -0.1 in descending order.\nAnswer: -0.1, -3, -260","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is c in -2\/5*c**3 - 6\/5*c**2 - 162\/5 + 18*c = 0?\nAnswer: -9, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 2\/123, -100, 0.4, 2\/19, -1?\nAnswer: 2\/123","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1252 by -2857.\nAnswer: -1252\/2857","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 23765?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*a = 29*a + 10. Suppose -a*y = -8*y - 54. Let o = -18 - y. Solve o = 4*n + n - 20 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 546237144?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 2189, -25, -4, 2, -6\/11 in decreasing order.\nAnswer: 2189, 2, -0.2, -6\/11, -4, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -28 smaller than -62?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 20 + -2106?\nAnswer: -2086","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2266769587 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-1)\/(-2))\/(4\/32). Suppose 0*s - 4*t = y*s - 376, -s - 4*t + 100 = 0. Calculate the remainder when 52 is divided by s\/5 - 10\/25.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ikxkx. What is prob of sequence xk?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4449? (a) 347\/3 (b) 3 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3*4\/(-7))\/(63\/(-6615)*10).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5618 to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 14*u**2 + 6*u - 10. Let p(z) = -13*z**2 - 5*z + 8. Give 5*l(h) + 6*p(h).\nAnswer: -8*h**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -2706, 0, -77, 2 in descending order.\nAnswer: 2, 0, -2, -77, -2706","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (m - m + m**2)*(m + 2 - 2 + (3 - 3 + 1)*(-5*m + 3*m + 3*m) - 1 + 1 + 2*m) + (45*m + 52*m + 208*m)*(2*m + 0*m - 3*m)*(-m - 3 + 1 + 0).\nAnswer: 309*m**3 + 610*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10100000 + 100?\nAnswer: -10011100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-39)\/26*2\/3. Let x be j*4*-22 - (8 + -4). What is the highest common divisor of 21 and x?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23\/150 and -173\/30.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 27030*w**2 + 4*w + 17. Let o be x(-3). Suppose 21*i + 308605 = -o. Round i to the nearest one thousand.\nAnswer: -26000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*t**2 - 103*t - 114049 wrt t?\nAnswer: -4*t - 103","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -2, -5, 7, 1.\nAnswer: -6, -5, -2, 1, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3*(-4)\/66 + (-171)\/171 + 284\/(-11).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/12 (b) 114 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by -7256\nAnswer: 3\/7256","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*c**2 + 1900*c + c**3 + 0*c**2 + 8*c**2 + 12066*c - 1058*c.\nAnswer: c**3 + 6*c**2 + 12908*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 684055?\nAnswer: 5, 136811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v**3 + v + 1. Let j be f(-1). Sort -4, 6, j, 5.\nAnswer: -4, j, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -41*x - 5*x - 185*x**3 + 407*x**3 - 224*x**3.\nAnswer: -2*x**3 - 46*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -30*o**3 + 3*o**2 - 4*o + 2. Let k(w) = -59*w**3 + 7*w**2 - 9*w + 4. Determine 2*k(u) - 5*z(u).\nAnswer: 32*u**3 - u**2 + 2*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 56\/(-10)*((-2403)\/(-16821))\/(2\/(-6)).\nAnswer: 12\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 59\/69 and (-28)\/(-108) + 2\/(2\/(-1)).\nAnswer: 621","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2.5 - 3. Let g = i - 0. Let v = -5\/8 + 29\/72. Which is the smallest value? (a) g (b) 4 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -3*w**3 - w**2 - 2*w - 2. Suppose -n - 20 = -6*n. Let o = n + 8. Calculate the remainder when k(-2) is divided by o.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -42 divided by 21\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - 6*x + 49*x**3 + x**4 - 4*x**2 + 28*x**3 - 77*x**3 in the form k*x + d*x**2 + a + v*x**3 + g*x**4 and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u + 15*u + 5544 = -116*u for u.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (9*k - 5*k + 5*k)*(-755 + 1164 + 994 + 97 + 840) in the form u*k + r and give u.\nAnswer: 21060","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 996.\nAnswer: 2, 3, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k = 3*s - 27, 2*k = -s + 6*s + 17 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - z + 10885 = 0, 5*r = -6*z + 5*z + 13606. Find the first derivative of 8*t**2 + r - 2852 - 74*t**2 wrt t.\nAnswer: -132*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*g - 2*d - 28, g + 4*d + 6 + 5 = 0. Let h = -1 + g. Suppose -7*o = -h*o - 72. Is o a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 2*d - 10*d - 64*d**2 + 63*d**2 - 7. Give u(-6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 2*g**2 - 6*g - 5. Suppose -251 - 77 = 20*i + 62*i. Let y(u) = u**2 + u + 1. What is i*y(s) - c(s)?\nAnswer: -6*s**2 + 2*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a kilometer in centimeters?\nAnswer: 10000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6 by 58135.\nAnswer: -6\/58135","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1367 - 1362. Let l(k) = -3*k + 11. Let z(n) = 4*n - 16. What is g*z(i) + 7*l(i)?\nAnswer: -i - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 18278476\/31 greater than 589629?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/((-21)\/15 + 1). Let l(h) = 23999*h + 5. Let k be l(f). Suppose u + 3*u = k. Round u to the nearest 100000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3 (b) 0.0624 (c) -0.29\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.4 and -994?\nAnswer: -397.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 94.8 - 8.8. Let u = l - 86.00000049. What is u rounded to 7 decimal places?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((62\/1)\/(125\/(-50)))\/(148\/(-370))?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5496838?\nAnswer: 2, 47, 58477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*j = -33 + 105 for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -5*b + 23. What is the first derivative of -7 + p**3 - b*p**3 + 4 wrt p?\nAnswer: -6*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(704)*2*2.\nAnswer: 32*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 11 = k + 18, 4*k + 3*u + 5 = 0. Let m = -3 + -2. Which is bigger: m or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**3 + 5*r**2 + 7*r + 3.\nAnswer: (r + 1)**2*(r + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f**3 + 5*f**2 - 4*f - 7. Let o be v(-5). Suppose o = 3*w + 7. Find x such that -w*x**2 - 8*x**3 - 34*x + 2 + 67*x - 25*x = 0.\nAnswer: -1, -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 120259268?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 32164 + -30478. Calculate the lowest common multiple of 2810 and q.\nAnswer: 8430","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q + 110 = -4*y + 81, 23 = -3*y + q for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2729?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.03 less than 21418134.0414564?\nAnswer: 21418134.0114564","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 5, 4, 1.5, -1028, -4\/5?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 18 and 200457?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(343)*-1 + 4 - (0 + sqrt(343))*-6 - ((sqrt(56)\/sqrt(4))\/sqrt(2)*3 + 0))**2.\nAnswer: 256*sqrt(7) + 7184","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -19597.129 rounded to the nearest ten?\nAnswer: -19600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -2*m**3 + 5*m**2 + 7*m + 2. Determine w(5).\nAnswer: -88","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 94620275 to the nearest integer?\nAnswer: 456","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4\/(63\/15 - 4). Calculate the greatest common divisor of y and 160.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-10)\/(-32)*-6)\/((-381)\/254)?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-969 - 1003 + 1863)*(-p**3 - 16*p**3 - p**3).\nAnswer: 1962*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z**3 + 12*z**2 + 28*z + 31. Calculate w(-7).\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the first derivative of 2*q**2 - 8*q - 8. Let n(g) = -g**2 + 3*g - 7. Let y(a) = 5*f(a) - 4*n(a). Factor y(i).\nAnswer: 4*(i - 1)*(i + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1210) - (sqrt(1210) + -5*(-2*sqrt(1210) + sqrt(1210))))\/(((sqrt(5) - -2*sqrt(80)) + sqrt(5) - sqrt(5)) + 3*sqrt(125)).\nAnswer: -55*sqrt(2)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -546*s + 535*s = -11 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -21101450\/4587 + 50604\/11. What is the common denominator of 127\/30 and h?\nAnswer: 4170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-133)\/(-49) + -2)*7. Suppose -2*c - z*c + 10703 = 0. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 6*y**2 - 157*y + 288. What is g(25)?\nAnswer: 113","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e, 1 r, and 1 v when three letters picked without replacement from {i: 1, v: 1, e: 2, r: 4}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, 0.1, -23551021 in increasing order.\nAnswer: -23551021, -9, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 3*p**2. Let o be l(-1). Suppose -o*z + 21 = -3*b, z = -0*z - 4*b - 3. Is z even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 1103366*c - 1342*c**3 + 1103366*c as s + r*c + o*c**2 + f*c**3 and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 22 divided by -4014179\nAnswer: -22\/4014179","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 5*k - 50 = -0*k, -4*t + 3*k = -132. Solve -22*c - t = -28*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1271 a factor of 78869363?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = -1 + 10. Find n such that -6 - y - 20*n**5 + 809*n + 55*n**2 + 15*n**3 - 804*n - 40*n**4 = 0.\nAnswer: -3\/2, -1, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 79.3 + -661.3. Let h = q + 584. What is the smallest value in 282, h, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 318511565 is divided by 25.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and 11974 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that -324*a**5\/5 - 196035732*a**4\/5 + 17425408*a**3 - 9680784*a**2\/5 = 0.\nAnswer: -605049, 0, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4 - 1. Suppose -h - 6*i = -t*i - 15, -5*i + 15 = h. Solve j - 4*r = 3 - 20, j + 4*r = h for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = -2*h - 30, -h - 21 = -5*y + 29. Suppose 3*v = -4*z - 3 - 12, -2*z - y = 2*v. Let j be (-8)\/(-10) - (1 + z). Which is greater: -1 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 108, 2326, 3, 5 in ascending order.\nAnswer: 3, 5, 108, 2326","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 - (36 - (13 + (0 - 5 - 4))).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1754693215\/436 - 4024522. Let s = -3\/109 - l. Let g = -246 + 1039\/4. What is the common denominator of g and s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(136)\/(6*(sqrt(8) + 2*sqrt(8)) - sqrt(8)) - sqrt(102)\/sqrt(6)*-5*5) + -2)**2.\nAnswer: -1704*sqrt(17)\/17 + 181544\/17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t**3 - 134178*t**2 - 2250668214*t - 6750797094 = 0 for t.\nAnswer: -33543, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1217 - 1072.7.\nAnswer: -2289.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1793267 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-5 - 14\/(-3))\/((-3)\/153). Suppose -y*r + 256 - 18 = 0. Calculate the highest common factor of r and 28.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 54.62262ng?\nAnswer: 0.00000000000005462262","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -268 - -459. What is the units digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -114430223 - 10?\nAnswer: -114430233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*w + 3, 5*q - w = -2*w - 1. What is the closest to -13 in q, -1\/2, 5, 10?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 50 (base 8) to base 7\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 155 minutes before 7:02 PM?\nAnswer: 4:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + h + 129 = 0, 2*l = 3*l + 4*h - 60. Let x be (10\/8)\/(1\/4). Suppose -x*w = -26 - l. What is the units digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -270*l + 2. Let u(f) be the second derivative of -f**4\/6 + 16*f - 3. Determine u(y(v)).\nAnswer: -145800*v**2 + 2160*v - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (((-40)\/175)\/1)\/((960\/500)\/(-12))\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-6)\/(-2) + -2)*-1. Let k be 6 + (0 - (n - -2)). Let i = -2 - -2. Solve i*p - k*p = -20 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -61\/16 and 49\/8.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -24, -119, -278, -501, -788, -1139?\n\"Answer: -32*u**2 + u + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 2444 divided by 2\nAnswer: 1222","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -40 divided by 373892?\nAnswer: -10\/93473","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16 - 16 + 0 + 15*p**3.\nAnswer: 15*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 16) in base 15?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 90 a factor of 1170?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2744081 is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 5, a: 2, c: 1, u: 8}. What is prob of picking 2 a?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 9) in base 6?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 984307314?\nAnswer: 2, 3, 164051219","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -98164950 rounded to the nearest one hundred thousand?\nAnswer: -98200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 462 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -730*d*i**3*n - 601*i**3*n wrt d?\nAnswer: -730*i**3*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 21244 - 12575. What is the tens digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4\/((-17)\/(595\/(-28))). Let x = 2 - 3. Sort x, h, -4 in decreasing order.\nAnswer: h, x, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 116172?\nAnswer: 2, 3, 7, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u**2 + 5*u + 4. Let v(r) = r + 2. Let i be v(10). Let y be (-2)\/3*i\/8. Let c = 3 - y. What is l(c)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -123*s**2 - 18*s - 18. Let l(r) = 31*r**2 + 5*r + 29. Let w(v) = -125*v**2 - 20*v - 110. Let f(n) = -15*l(n) - 4*w(n). Determine -5*d(x) - 18*f(x).\nAnswer: -15*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c - 8. Let w be l(10). Let m(h) = -w*h - 6*h**2 + 0 + 5*h + 2 - h**3. Is 10 a factor of m(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 + 2 = -3*d. Let g(k) = -9*k - 8. Let o(s) = -s - 1. Let t(w) = g(w) - 6*o(w). Determine t(d).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -8.56 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1\/4008750 and -73\/77128350.\nAnswer: 1928208750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(363) + 3 + 4*(sqrt(3) + 0))*-2)**2.\nAnswer: 360*sqrt(3) + 2736","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide (-8 - (-11 + 1))*(84 + 2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p + 2*x = 1 - 5, 2*x = 3*p - 9 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a*a**(-11)*a*a\/(a\/((a*a*a\/a**(-8))\/a))*(a\/(a**(-12)*a))\/a**21 assuming a is positive.\nAnswer: a**(-8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -99? (a) 1\/6 (b) -1025 (c) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53*h + 48*h + 5*r + 15 = 0, -5*h + r = -15. Suppose 3*k + 3*q = 9, -4*q + h + 2 = 3*k. Calculate the remainder when 12 is divided by k.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8875673.\nAnswer: 43, 206411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w**2 - 9*w - 165. Calculate j(17).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4141 and 1010?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -4672400, -4672280, -4672080, -4671800?\n\"Answer: 40*k**2 - 4672440","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 15\/118, 136, -0.4, 3.\nAnswer: -0.4, 15\/118, 3, 5, 136","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n**3 - 9*n**2 - 112*n - 1783. Give v(-12).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o - 2*q - 3*q = -10*o + 2 + 65, 4*o = 3*q + 37 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 3 g when four letters picked without replacement from {l: 4, g: 13}?\nAnswer: 286\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Let w be (1\/(-2))\/(2\/48). Calculate the remainder when 136\/w*-3*(-4)\/(-8) is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 49770 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -341.247 - -383.8. Let s = b - 43.2. What is s rounded to one dp?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-eight thirds of a day in minutes?\nAnswer: 13440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -698504, -1397254, -2096006, -2794760, -3493516, -4192274?\nAnswer: -4891034","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -79\/2184 and -27\/28.\nAnswer: 2184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*w - 7*w = -4408. What is the remainder when w is divided by 41?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -759 (b) -2.1 (c) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.679 take away -202?\nAnswer: 203.679","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five quarters of a litre in millilitres?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 105*a**3 - 423*a**2 + 432*a - 12.\nAnswer: 3*(a - 2)**2*(35*a - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*g - 52551 = -36*g. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = 3*c + 3 - 38, 3*c = a - 29. Let o be 8\/(-20) + a\/5. Suppose r - o = -2*r. What is the units digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/o**(-1\/3)*o)**(-7\/5) assuming o is positive.\nAnswer: o**(-49\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c**3 - 4*c**2 - 5*c + 4. Let n(m) = m**2 + m. Let r(s) = -n(s) + y(s). Let b be r(6). Solve -k = -b*k + 12 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -81 times -2?\nAnswer: 162","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(3\/4))**(2\/103)\/((i**(-3\/8)\/i)\/((i*(i**(-6\/7)*i*i)\/i)\/i)))**15 assuming i is positive.\nAnswer: i**(132585\/5768)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*s + s - 20. Find the third derivative of 4*r**6 - 3*r**4 + 3*r**s - r**2 wrt r.\nAnswer: 480*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, -2\/9, -2, -0.3 in ascending order.\nAnswer: -2, -0.3, -2\/9, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that -5*b**5 + 3260*b**4 - 475220*b**3 + 468710*b**2 + 475225*b - 471970 = 0.\nAnswer: -1, 1, 218, 433","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r**3 + 3*r**2 - 4*r + 1. Suppose 5*u - 29 = 56. Suppose -3*h + u = -5*c + 1, 4*h + 4*c + 32 = 0. What is the tens digit of y(h)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/17 or -20755525?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 107336?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f\/(f**1\/f)*f**6*f*f**6*f**(2\/13)*f assuming f is positive.\nAnswer: f**(197\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*z - 31 = 3*z + g, -5*g - 35 = -3*z. Let p(h) be the third derivative of -h**4\/24 - h**3\/2 - 21*h**2. Let c(k) = 2*k + 7. Calculate z*p(b) + 4*c(b).\nAnswer: -2*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*n**2 + 5*n**2 + 0*n**2)*(-n**2 - 2*n**2 + 7*n**2) + (2*n**3 - 2 + 2)*(3*n - 4*n - 2*n).\nAnswer: 2*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*v**4 - 3*v**4 + v**2 + v**3 - 86 + 84 + 8*v**4 - v to z*v**2 + a*v**4 + s + f*v + c*v**3 and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2022898 and 1802?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 324 = 1377*s - 1373*s. What is the least common multiple of ((-24)\/10)\/(12\/(-90)) and s?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the first derivative of 25*x**4\/4 + 70*x**3\/3 + 22*x**2 + 8*x + 4. Factor r(i).\nAnswer: (i + 2)*(5*i + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-12)\/1532)\/((-5 - -4) + 4). Which is bigger: g or -1?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -186443.671 to the nearest 10000.\nAnswer: -190000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*x - 119*o - 112 = -115*o, 3*x + 23 - 30 = 3*o + 20 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13, 14, -1\/4.\nAnswer: -1\/4, 13, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*u - 953 = 183. What is the highest common factor of 7597 and u?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0343108552050501 - -3.\nAnswer: 2.9656891447949499","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -175\/6 + 29. Let q = 0 + 0. Which is the closest to q? (a) j (b) 2\/7 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = -k + 36. What is the greatest common divisor of 24 and k?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 145498 = 22*g - 15806. Let c be g\/11 + 294\/(-539). What is c rounded to the nearest ten?\nAnswer: 670","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that -r**3 + 50*r**2 = 0.\nAnswer: 0, 50","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 65*l - 185. Calculate w(2).\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 5, t: 4, y: 5, m: 6}. Give prob of picking 2 t.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 3*j. Let t be a(1). Let w(n) = 2*n - t*n**2 + 12*n**2 - 3 + 0. Is w(2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15828*r - 15844*r + 1376 = 0. Solve 0 = -8*t + r - 94 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6 (base 12) to base 3.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8938539590 - 8938539668.00000063. Let y = 116 + -194. Let t = q - y. What is t rounded to 7 decimal places?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1, 15, 57, 139, 273, 471, 745, 1107?\nAnswer: 1569","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*-1*sqrt(1100).\nAnswer: -10*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p**3 - 32*p**2 + 156*p + 6. Determine o(6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1 + (-25)\/30 + (-1016)\/(-528). Put j, 5, -3 in descending order.\nAnswer: 5, j, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 601 is divided by (-100)\/(((-4)\/(-6))\/((-20)\/15)).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8 - -8.3. Let f = -4.88 + -0.12. Let s = f - -4.6. Sort 0.5, s, h in descending order.\nAnswer: 0.5, h, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -4\/7 (b) -2\/7 (c) -0.6 (d) 2 (e) 326\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((sqrt(95) + 1*sqrt(95))*-5)\/(sqrt(20)\/(-2*sqrt(4))) + (6*sqrt(304)*-2 - (sqrt(190)*-1 + sqrt(190))\/sqrt(10)*1).\nAnswer: -28*sqrt(19) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -120 - 0.3892.\nAnswer: -120.3892","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 300692.\nAnswer: 2, 7, 10739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 184 and 336.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 2*w = 61 - 23, p - 4*w - 26 = 0. Suppose 5*y + p = 5*u, 0*y + 4*u = -2*y + 8. Let c = -8 - -13. Sort c, -4, y.\nAnswer: -4, y, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = 30 - 60. Solve -2*w - 24 = t*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 53 is divided by 37?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 7454 a multiple of 69?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 6*w**2 - 36*w + 9. Let y(o) = -11*o**2 + 70*o - 24. Let r(q) = -5*t(q) - 3*y(q). Factor r(a).\nAnswer: 3*(a - 9)*(a - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 78303.\nAnswer: 3, 43, 607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 115507 or 115505?\nAnswer: 115507","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -q**2 + 58*q + 62. What is l(59)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -31\/7695 and -49\/120?\nAnswer: 61560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 times 0.3105999\nAnswer: -0.12423996","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q, 1 o, and 1 a when three letters picked without replacement from {q: 3, l: 2, a: 1, t: 1, o: 3}.\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + 0 - ((-29 - -4) + -4) - (-7 - -6)?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -0.5, 3\/5, -0.4, 4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 34 - 20. Let m = s - 19. Does 9 divide (-1)\/m - (-538)\/10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*n**2 + n**2 + 0*n**2 + (-n - n + 4*n)*(n - 3*n + 0*n) + (2*n - 4*n + 3*n)*(4*n - 2*n - 3*n) + 71*n**2 - 137*n**2 - 82*n**2.\nAnswer: -154*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 74.00000168 + -74. What is n rounded to seven dps?\nAnswer: 0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*u + 4788450759 + 0*u - 4788450739.\nAnswer: 2*u + 20","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 399*q - 61*q - 3376958. Calculate the greatest common divisor of 873 and q.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 484 is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -83*d**3 - 28*d**3 - 39*d**2 - 28*d**2 + 40*d**2 wrt d.\nAnswer: -666","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.4, 0.5, -1\/1137, 4, 56?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3187 in -2\/11, -5, 0, 3, 2\/5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 4*o - 40 = 0. Let x(h) = h**2 + 5*h - 9. What is the units digit of x(o)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j**2 - j - 1. Suppose 3*h = -2*v + 17, 5*h + 4*v - 30 = -1. Let p(i) = 2*i + 5 + 2*i**2 - 5*i**2 + i. Determine h*z(b) + p(b).\nAnswer: 2*b**2 - 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.3362497 litres?\nAnswer: 336.2497","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -432*d + 22*d = 3*d + 275*d - 19952 for d.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - -94 - (-2 + 19 - 1 - (397 + -391))?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 6*o**2 + 5*o + 8*o - 13*o + 2 wrt o?\nAnswer: 12*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -14642 at least as big as -14647?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27186167.\nAnswer: 1021, 26627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7.18? (a) -4\/5 (b) 526 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 203 - 1018\/5. Which is the nearest to -1\/3? (a) -0.2 (b) s (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 104*r + 131*r - 2739 = -14*r for r.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3)\/((6\/10)\/3). Let z be (-9)\/g + 485\/25. Suppose 2*u + x = -5, 3*x + x + z = 5*u. Solve -3*l - 3*j + 4*j = u, -l - 3*j = -10 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that 4*s**4 - 40*s**3 - 92*s**2 - 48*s = 0.\nAnswer: -1, 0, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 763, 743, 723, 703?\nAnswer: 683","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 2*n = 282 + 11, 388 = 4*p - 2*n. Suppose -5*k = 35 - p. Let v be (-10)\/(-30) - (-2)\/k. Which is bigger: v or 2\/7?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r = -5*p + 39, -2*p - 113*r + 13 = -112*r for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-2)\/(-6))\/((-22)\/(-330)). Let r = -45 - -47. Sort -2, -4, p, r in descending order.\nAnswer: p, r, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -213 or -218?\nAnswer: -218","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**2\/5 + 496*h\/5 + 61504\/5.\nAnswer: (h + 248)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 2*r = -20 - 2, o - 10 = -2*r. Solve 0 = 4*n - 0*n - o for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 9*i - 48. Let q(y) = -y**3 - 3*y**2 + 4*y - 4. Let g be q(-4). Let r(a) = a - 6. Let v(b) = g*n(b) + 33*r(b). Is 7 a factor of v(-8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 106 divide 97838?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m**5\/3 - 13*m**4\/3 - 61*m**3\/3 - 127*m**2\/3 - 118*m\/3 - 40\/3 = 0. Calculate m.\nAnswer: -5, -4, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o**3 - 10*o**2 - 18*o - 176. Let h be x(-10). Solve -2*t + h = 2*b, -4*t + 4*b - 8 = 16 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -4*j + 5. Let h be m(-7). Suppose -4*n + 3*z = -6*n - h, -5*n + 3*z = 51. What is the remainder when 6 is divided by (-16)\/n*(-9)\/(-6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16834\/1753 smaller than 9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**2\/3 - 952*y\/3 - 636.\nAnswer: (y - 954)*(y + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 898741 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 775895 to the nearest integer?\nAnswer: 881","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/182)\/((-539)\/(-7007)).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2 + 2. Let r = 0.9 - -0.1. What is the closest to r in 4, -2\/5, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the first derivative of -i**5\/15 + 11*i**4\/3 - 694*i**3\/9 + 770*i**2 - 3675*i - 158. Suppose v(p) = 0. What is p?\nAnswer: 7, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5719643 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -18 (b) 2 (c) -0.23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 5*l**2 + l. Let h be y(2). Suppose 2 - h = -4*i. List the prime factors of 152\/i + 4\/(-10).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.089, 3, -5, 5\/9 in descending order.\nAnswer: 3, 5\/9, 0.089, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 3, -4, 27, 33498 in decreasing order.\nAnswer: 33498, 27, 3, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4337.\nAnswer: 4337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 18405000 to the nearest one million.\nAnswer: 18000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-6)\/(-16)*-1 - (-456)\/192. Find the second derivative of -10*g - 8*g + 5 + g - 273*g**o - 3*g + 0*g wrt g.\nAnswer: -546","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 6337, 47496, 159191, 376690, 735261, 1270172?\n\"Answer: 5878*t**3 + 13*t + 446","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**3\/11 + 12*f**2\/11 - 72*f\/11 + 80\/11.\nAnswer: 2*(f - 2)**2*(f + 10)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1 + 5. Suppose 2*f + f = w. Let z be f - 2*(-18)\/3. Solve i - 3*i - 5 = v, 2*v = -5*i - z for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3.84 * -3011.\nAnswer: 11562.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1232, -2489, -3746, -5003, -6260?\n\"Answer: -1257*g + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 33\/7 - 3\/((-84)\/8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -19288*a - 115747. Calculate y(-6).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -8 - -15?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in seventy-nine halves of a kilometer?\nAnswer: 39500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 + -5)\/5 + 39\/(-6)*-2?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - 10) + -494 + 568.\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1689269?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -18 or -22893\/1285?\nAnswer: -22893\/1285","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (25\/4)\/(-19*8\/(-1824)) is divided by 45.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 39927 (base 15) to base 9\nAnswer: 310741","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Factor -35*t**2 - 166874*t - 66744.\nAnswer: -(5*t + 2)*(7*t + 33372)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 460?\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 370*s + 1097 + 753 = 0 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 459*j - 6611 = -829 + 6327 + 34250 for j.\nAnswer: 101","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11876556, -11876538, -11876518, -11876496?\nAnswer: -11876472","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -16*v - 2. Let m(q) = -7*q. What is i(m(h))?\nAnswer: 112*h - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*h + h + 6. Suppose 52*s - 62 = 12*s + 9*s. Solve 0 = -2*m + 5*y - 14, 3*y + h = s*m + 13 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (58*b**2 + 50*b**2 + 42*b**2)*(6*b**2 - 2*b**2 - 2*b**2)*(3 - 1 - 4).\nAnswer: -600*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*y - 20 = 5*y. Suppose -y - 2 = -4*a. Suppose 12 = 5*k - a. What is the nearest to -0.1 in k, 1, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.979? (a) 10000 (b) 2 (c) -0.4 (d) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wbw when three letters picked without replacement from {h: 5, w: 2, b: 3, u: 1, x: 2, n: 7}?\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -3 - (0\/(-6) + -2 + 1). Let d be 15\/y*(1\/3 + -1). Suppose 4*t + 1517064 = 3*l - 1002930, d*l = -t - 630010. What is t rounded to the nearest 100000?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1276 and 580?\nAnswer: 6380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -2*k, -5*h + k + k + 1921 = 0. Let s = h - 1220\/3. What is the common denominator of s and 81\/8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*o + 15*o = -12, -2*o = 13*c + 7 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.743921cm in meters?\nAnswer: 0.09743921","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**3\/7 - 113*m**2 + 155227*m\/7 + 472827\/7.\nAnswer: (m - 397)**2*(m + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2243 = -188*r + 19*r + 46 for r.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4\/(-26) - 3132\/(-78). What is the highest common divisor of 90 and x?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12205 (base 9) to base 5.\nAnswer: 230221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 11*u - 9*u = -16, 4*r + 2*u - 34 = 0. What is the remainder when 2227 is divided by r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -139\/6 and 13\/2190?\nAnswer: 2190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*f**5\/5 + 1662*f**4\/5 - 223443*f**3\/5 - 1868088*f**2\/5 - 3790128*f\/5.\nAnswer: -3*f*(f - 281)**2*(f + 4)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the second derivative of 0 + p**3 - 5\/2*p**2 + 4*p. Differentiate n(k) with respect to k.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3360 = 1373*q - 1277*q for q.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 8 = -3*o. Let v be (-160863069)\/4 - o\/(-12). Let w = v + 56515767. Round w to the nearest 1000000.\nAnswer: 16000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -11 - -27. Suppose -12 = 4*s - 4*q, k = 4*s + 3*q - 0*q. Let z be 0*s\/(2 - 0). Which is smaller: z or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/7, 6, 1.3 in descending order.\nAnswer: 6, 1.3, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((r + r + 0*r)*(0 + 3 - 6) + 2*r - 3*r + 2*r)*(0*r**2 + r**2 + r**4 + 0*r**4).\nAnswer: -5*r**5 - 5*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*i - 9 = 243. Sort 4, i, 1, -5 in descending order.\nAnswer: i, 4, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7\/6? (a) -0.2 (b) 0.1 (c) 6 (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 168 and 924?\nAnswer: 1848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -26242 + 50175. What is the tens digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000209355 rounded to five decimal places?\nAnswer: 0.00021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 2, c: 1, y: 3, o: 2, b: 6}. Give prob of sequence oy.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 3, z: 6, w: 4, l: 2}. What is prob of picking 3 h?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1419130286.\nAnswer: 2, 7, 101366449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u + 3*u = 30 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the first derivative of 0*m**4 + 0*m**2 + 0*m - 3 - m**3 + 0*m**6 - 1\/840*m**7 + 1\/120*m**5. Let b(u) be the third derivative of h(u). Factor b(c).\nAnswer: -c*(c - 1)*(c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -2*x**2 - 61*x - 5. What is the units digit of s(-24)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.9986874385 rounded to 2 decimal places?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6 - -28. Suppose -286 + 66 = -5*j. Calculate the greatest common divisor of j and p.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*x + 0*x = -14 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 33 and 2239092?\nAnswer: 24630012","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*sqrt(45)*-1)\/sqrt(9))**2 + -1 + 4*sqrt(5)*1.\nAnswer: 4*sqrt(5) + 179","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 11*w**2 + 139*w + 1595. Let t be q(-11). Solve t = 10*h + 1317 for h.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbpzwwv. What is prob of sequence bb?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8371830 divided by -3118.\nAnswer: -2685","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47*k = -37*k - 90. Solve -2*v + 10 = -4*s, -4*s - 3*v = k + 16 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*g = -159 + 31. Solve -4*l - 5*t - 4 = 0, g*l - t + 2 = -2 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 13*f*w**6 - 23261*f*w**5 + 17*f*w**2 + f*w - 2*f - w - 562 wrt w?\nAnswer: 1560*f*w**3 - 1395660*f*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**3 - 707*p**2 + 14636*p + 69792.\nAnswer: -(p - 24)*(p + 4)*(p + 727)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 545 is divided by 26.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 5 + 122 + (-6 - -4). Let h = -110 + o. Solve 0 = 3*m - 4*z + 12, 2*m + h = 3*z + 2*z for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -34293922*t**2 - 58889088 wrt t.\nAnswer: -68587844*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = -4*v + 44. Suppose 0 = -o + v. Let i(d) = -7*d - 41. What is the lowest common multiple of i(-7) and o?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 24 - 36. Let n = h - -11.7. Which is the biggest value? (a) -1\/2 (b) n (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t**(-2\/11)*t)*t*t\/(t*t*t**(-11)))\/(t**(-20))**14 assuming t is positive.\nAnswer: t**(3203\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the third derivative of 0*d**3 - 1\/12*d**4 + 0*d + 0 + 30*d**2. Let c(o) = 23*o. Determine c(z(x)).\nAnswer: -46*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*p - 31*p = 18. Suppose -3*x - 2*l - 3*l = -30, 2*x = -4*l + p. Solve -4*q + 7*q = x for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (56 + -2 - 47)\/(14\/8).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = k + 4. Suppose 5*j + 4*x - 44 = j, -2*x = -k*j + 68. Let o be 13\/20 - 6\/j. Which is the nearest to o? (a) 0 (b) -1 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1 + (6\/2 - -2). Suppose d + 2*g - 4 = 4*d, 0 = 3*g + 3. Let j be (-115)\/(-35) + d\/7. What is the greatest common factor of j and r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.036 + -9.036. Let b = -45 + d. Let t = 53.6 + b. Put t, -3\/7, 7 in descending order.\nAnswer: 7, t, -3\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5734a3 (base 11) to base 12\nAnswer: 37bb78","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 14710 and 11768.\nAnswer: 58840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 4*g**3 - 238*g**2 - 121*g - 76. What is z(60)?\nAnswer: -136","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 509, 1040, 1547, 2018, 2441, 2804, 3095, 3302?\n\"Answer: -2*v**3 + 545*v - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 35 + -24. Suppose -7*j = -b*j + 16. Suppose j = 3*i - 17. Calculate the remainder when 19 is divided by i.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (0 + 2)\/2 - 0. Let s be (p - 0)\/((-4)\/(-168)). Suppose 5*i - s = -3*t, -4*i + 20 = -3*t + 89. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the first derivative of a**3\/3 - 2*a**2 + 5*a + 3. Let p be w(5). Calculate the highest common divisor of p and 25.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0064774749 + 4961.05?\nAnswer: 4961.0435225251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 7371 to the power of 1\/2, to the nearest integer?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**2\/4 - 14827600*h + 219857721760000.\nAnswer: (h - 29655200)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -14010566 + 4693543323\/335. Let i = -1\/4020 + a. Calculate the common denominator of 2 + (2 - (-37)\/(-4)) and i.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 501\/18 - -1 - 8\/(-48). Let d = h + -49. Which is smaller: -18 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r = -252, 130*k - 9*r + r - 452 = 127*k + 223 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a + 7. Let x be c(-5). Suppose 0 = 3*l + 4*d - 29, 3*l - x*d - d = -6. Let m = l + -3. Solve m = -4*z - 6 - 6 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that -5*c**2 + 250*c + 255 = 0.\nAnswer: -1, 51","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 20*x**3 + 2604*x**2 + 60520*x + 12000.\nAnswer: 4*(x + 30)*(x + 100)*(5*x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (156\/26)\/((-4)\/(-2))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 47804\/111 - 2\/(-6)?\nAnswer: 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4507620790 to the nearest integer?\nAnswer: 1652","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 7*l**2 + 49*l - 165. Let r be g(3). What is the greatest common factor of r and 117?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -129328 - -903857\/7. Let p = 207 + k. Suppose p*j**2 - 4\/7*j - 2*j**5 + 0 + 18\/7*j**3 - 10\/7*j**4 = 0. Calculate j.\nAnswer: -1, 0, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s**2 - 25*s + 76. Let q be c(-25). Calculate the highest common divisor of q and 2432.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -55*d**3*g**4 - 2*d**3 - 7710*d*g**2 - 124*g**6 wrt g.\nAnswer: -1320*d**3*g - 14880*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -64545682.29999939 - -64545673.1. Let h = -2.6 + 11.8. Let d = h + x. What is d rounded to 7 dps?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - 4*v)*(-v + 0*v + 3*v)*(2 + 28 - 100).\nAnswer: 560*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9616151?\nAnswer: 9616151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -34515 divided by 585?\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29*t + 26*t - 56*t.\nAnswer: -t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 344 and 516?\nAnswer: 1032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 13, d: 3, t: 1}. Give prob of sequence ddty.\nAnswer: 13\/9520","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.5 - -2. Sort -2, u, -4 in decreasing order.\nAnswer: u, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/6 of a day in minutes?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*q**3 - 81*q**2 + 150*q = 0. Calculate q.\nAnswer: 0, 2, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2*o**2 + 0)*(1 + 0*o**3 + o**3 - 3 + 3*o**2).\nAnswer: 2*o**5 + 6*o**4 - 4*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5526 + -0.3?\nAnswer: -0.8526","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r**2 - r + 7. Suppose c - 10 = -c. Let i be w(c). Solve 5*b - i = -4*f, 4*b - 2 = 2*f + 4 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 30 in 63294, -2, -3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 26064 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 0.09535, 1688.\nAnswer: 0, 0.09535, 1688","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -54*(-32)\/864*-10?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m - 1. Let g(y) = -2*y - 7. Let j(q) = g(q) + s(q). Calculate j(-4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9689000 rounded to the nearest 1000000?\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 4657 to the power of 1\/2, to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 14236710 to the nearest integer?\nAnswer: 242","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 238, -6 in descending order.\nAnswer: 238, 3, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**1*x*(x*x**(-5)*x)\/x*(x*x**1\/x*x)**(-2\/9)*(x**(-7)*x*x\/(x\/x**(-4\/5)))\/(x**(3\/11)*x**(-8)) assuming x is positive.\nAnswer: x**(-751\/495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*h - 3*z + 1836, 2*h + 4*z = -2427 + 591. Let d = 3637\/4 + h. Which is smaller: 0.1 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2 + -3145134?\nAnswer: -3145136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Let v be 9*((-75)\/27 + 3). Let j be (v\/22)\/((-9)\/(-234)). Is 2 > j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3*i**4 - 813*i**2 + 2729?\nAnswer: -12*i**3 - 1626*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -17*g**2. Let x be (2 + (-9)\/3)*-2. Let f(q) = 0*q**2 - 6*q**x + 7*q**2. Calculate p(f(b)).\nAnswer: -17*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 510 + -510.5. Let f = -10 + 10.5. What is the third biggest value in f, -0.04, 1, a?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -38*o**3 + 3*o**2 + 11*o + 11. Is l(-5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -37 + 5759\/780*5?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 406 minutes after 7:58 AM?\nAnswer: 2:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -4 + sqrt(130)\/(-2*sqrt(10)) - (2*sqrt(1300)*-2 + 2).\nAnswer: -8 + 79*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 41142 is divided by 794?\nAnswer: 648","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 47 - 57. Let z be m\/(-3 - 101\/(-34)). Let f = -3493\/10 + z. Calculate the common denominator of f and -107\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -39, -77, -145, -249, -395, -589, -837, -1145?\n\"Answer: -o**3 - 9*o**2 - 4*o - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 260 minutes after 12:43 AM?\nAnswer: 5:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 298 minutes after 2:36 AM?\nAnswer: 7:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -106874341*d*q**2 - 174913513*d + q wrt q.\nAnswer: -213748682*d*q + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 129\/17 + -2994\/119. Let v = 75\/28 - l. Let y = 44\/5 + -1493\/110. What is the common denominator of y and v?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5331729*u**3 + 2*u**2 - 64810*u + 426.\nAnswer: 31990374","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (68*a + 3*a + 62*a)*(a + 2*a - 4*a) to the form c*a + m*a**2 + h and give m.\nAnswer: -133","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7589 - 22765\/3. Is a bigger than 1413?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-36)\/84)\/(5 + 48\/(-7))?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 124 = 3*t - 89, -4*t - p + 260 = 0. Calculate the greatest common divisor of t and 14490.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 4*j + 2*j + 7 + 3*j + j**2. Let h(m) = m**2 + 10*m + 6. Let s be h(-8). What are the prime factors of p(s)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4418*z**3 + 758110*z**2 + 450464*z + 67032 = 0. What is z?\nAnswer: -171, -14\/47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 469413 and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 3*b**2 + 1. Let g be k(1). Suppose -i + 5*i = g. What is the units digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-175)\/((-10511550)\/(-284)))\/(2*2\/(-36)).\nAnswer: 2\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -2*m + 5. Suppose 0 = -0*g - 2*g - 8. What is the remainder when 38 is divided by v(g)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 688 a factor of 570352?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3\/(-27)*-3*99. Suppose -o = 5*d - 10*d + 21, 0 = 2*o + 5*d - h. Solve -o*k + 20 = -0*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 251 minutes after 6:28 AM?\nAnswer: 10:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 36, -3, 8 in decreasing order.\nAnswer: 36, 8, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 557.3912863735 and 0.5?\nAnswer: 556.8912863735","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 12\/25 of a litre?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 49\/111 + -4\/37. Put -3\/8, a, 7, 0 in decreasing order.\nAnswer: 7, a, 0, -3\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Convert -1044534 (base 6) to base 12.\nAnswer: -2674a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -1876 at most -1876?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 24238\/2 - 544\/(-68). What is the greatest common divisor of j and 268?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 324289 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 23169?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(4 + sqrt(1872) + -3 + -1 + (sqrt(1872) - (sqrt(1872) + 0))))**2.\nAnswer: 7488","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-104208)\/(-22) + 357\/1309.\nAnswer: 3, 1579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-21)\/14)\/(702\/(-6))*6\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 2, u: 2, i: 1, a: 1, j: 2}. Give prob of sequence au.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 6.153834 kilograms?\nAnswer: 6153.834","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 7*p + 50 = 0. Calculate the smallest common multiple of p and 15.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:54 AM and 9:58 AM?\nAnswer: 424","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-670)\/(-180) + 2 + -1 and -1\/18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1574351*-0.4.\nAnswer: -0.06297404","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 411*p**2 - 2*p + 1. Suppose -l + 1 = -0. Let j be b(l). What are the prime factors of (-3)\/2*j\/(-15)?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the first derivative of p**3 - 3*p + 2 + 3*p**2 - 1\/4*p**4. Determine n(4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14020?\nAnswer: 2, 5, 701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*f - 6*f + 4 = 0, 7 = 3*x + f. Factor 2\/7*n**5 + 2\/7*n**4 + 10\/7 - 4*n**x - 38\/7*n + 52\/7*n**2.\nAnswer: 2*(n - 1)**4*(n + 5)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 670 minutes before 8:58 AM?\nAnswer: 9:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 5, y: 2, o: 3}. Give prob of picking 3 o and 1 y.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p\/(p**(-6)*p))\/p)\/p**6*(p**(-10\/3)\/p)\/p**11)**(9\/2) assuming p is positive.\nAnswer: p**(-147\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(228)\/(sqrt(36)\/sqrt(3))*-5.\nAnswer: -5*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -4 times -4050\nAnswer: 16200","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -1517*b**4 + 3619*b**2. Let q(d) = 506*d**4 - 1207*d**2. Let l(c) = 6*h(c) + 17*q(c). Find the third derivative of l(n) wrt n.\nAnswer: -12000*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -35 - -34.5. Let o = u - -1. Let d = -153 - -1375\/9. What is the closest to 0 in 0, d, o?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4 + sqrt(512))*-4)**2*2.\nAnswer: -4096*sqrt(2) + 16896","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*u = -2*x + 21*u + 34, 4*x + 36*u = 320 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -21026700 to the nearest one hundred thousand.\nAnswer: -21000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:03 PM and 1:40 AM?\nAnswer: 277","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11343 is divided by 62?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 590 is divided by 120?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*l - 3*q + 4876, -5396 = 4*l - 5*q - 15170. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-1)\/3)\/(7\/(-70)*-15). Which is the closest to 23? (a) 3 (b) -2\/11 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + 0 - (22 + -10 + -8).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4005 + 2?\nAnswer: -4003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*w**4 + 2*w**4 + 0*w**4)*(-61*w - 99*w - 44*w).\nAnswer: 612*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of j*n**2*v - 13*j*n**2 + 379*j*n*v + 17092982*j*v**2 + 2*j*v - 2*n**2*v**2 + 3*n*v - 104*v wrt v?\nAnswer: 34185964*j - 4*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -6 - -1 - (27 - 24 - (10 - -5))\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -2*s + 80. Let j = -57 - -75. Let i be f(j). What is the highest common factor of i and 484?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4338114 and 822.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a centimeter in millimeters?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -80, -276, -602, -1064, -1668?\n\"Answer: -p**3 - 59*p**2 - 12*p - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 4, u: 10, f: 6}. Give prob of picking 1 u, 1 j, and 2 f.\nAnswer: 40\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 211.645ml?\nAnswer: 0.211645","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (678\/(-9))\/(4\/(-6))?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 f when two letters picked without replacement from llxfxxxjsflax?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1005 - -1045?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the third derivative of -k**6\/120 - k**5\/12 - k**4\/6 - 5*k**3\/6 + 3*k**2. Let t be o(-5). Solve 0 = -3*l - t, -23 - 2 = 5*d + 5*l for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1200 + -121112020101?\nAnswer: -121112011201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 181.7615 nanometers to micrometers.\nAnswer: 0.1817615","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**3*m**(-1\/10)*(m\/m**(-2\/17)*m)\/(m*m*m**(-1\/7)*m) assuming m is positive.\nAnswer: m**(2571\/1190)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -814, 4, 13 in decreasing order.\nAnswer: 13, 4, -814","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -870 + 1260. Let f = 234 - u. Let j = f - -155.9909. What is j rounded to three dps?\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 275937?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the third derivative of -k**8\/840 + 4*k**7\/105 - 33*k**6\/100 - 92*k**5\/75 + 368*k**4\/15 + 512*k**3\/5 - 30*k**2 - 2. Let q(i) = 0. What is i?\nAnswer: -3, -1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -2101, -2408, -2715, -3022, -3329?\n\"Answer: -307*w - 1794","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s**2 + 10 + 26 + 2 + s + 22. Does 12 divide m(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l = 5*l - 40 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-38)\/((-6)\/(-3)))\/(((-1180)\/708)\/(5\/(-3))).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1 - 2669796) + -11 + (-17)\/(17\/(-8)). Round h to the nearest ten thousand.\nAnswer: -2670000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -49 (b) 8 (c) -2\/239 (d) -9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that 65*y**5 + 1055*y**4 - 13865*y**3 + 9745*y**2 + 3000*y = 0.\nAnswer: -25, -3\/13, 0, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -p**5 + 8*p**4 - 1496449*p**3 - 4*p**2 - 8998*p - 3650?\nAnswer: -60*p**2 + 192*p - 8978694","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 51, 100, 151, 204, 259, 316, 375?\n\"Answer: c**2 + 46*c + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -35 divided by 1267\nAnswer: -5\/181","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 39.7077452 to the nearest integer.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4 + 2)*(-14 - -13). Let u be (1\/j)\/(53\/212). Solve 5*k - 7 = -u for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -p - 5 + 4. Calculate the common denominator of ((-1356)\/224)\/(-3)*p and -93\/16.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*1*37\/(5994\/36).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*c = 120*c - 154 + 10 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -16*q**2 + 4. Let z(s) = -6*s**2. Calculate f(z(x)).\nAnswer: -576*x**4 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2 - 3208?\nAnswer: -3206","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -141.94, -0.03, -1\/519 in decreasing order.\nAnswer: -1\/519, -0.03, -141.94","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 10 = 3*k. Suppose 7*w = k*w + 85. List the prime factors of w.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 3, z: 4, w: 2}. What is prob of sequence az?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 99*d - 4*i = 102*d - 5, 8*d = 3*i + 27 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 41947 is divided by 13970?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.7 + 3.7. Put -14, -4, i in descending order.\nAnswer: i, -4, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 32*l - 17. Let p(n) = -n**3 + 15*n**2 + 17*n - 11. Let s be p(16). List the prime factors of m(s).\nAnswer: 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-3)\/2*6266\/(-3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -977.80607 and 135883?\nAnswer: 136860.80607","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 164 a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 132*q + 3. Let a be h(-7). Let b = a - -2798\/3. Let w = -2861\/7 + 407. What is the common denominator of b and w?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + m**2)*(-4 + 1 + 3*m + 5).\nAnswer: 3*m**3 + 2*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fmfm when four letters picked without replacement from {m: 10, f: 4, w: 2}.\nAnswer: 9\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -606.55 + 607. Is q at least -4\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*i**3 + 2*i + 16 - 2*i**2 - 10*i**3 + 15 - 51 + 17 to the form u*i**2 + f*i**3 + g + j*i and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 59848935 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -172, -2\/723, 2, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-30)\/(-24) + 6 + (-6)\/(-8). Solve -u*j + 3*j = 20 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -59661 or -59611?\nAnswer: -59661","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*j - 238 = -278. Suppose 2*c + 24 = 3*q + 5, 5*q - 3*c - 30 = 0. Sort -1, j, -22, q in descending order.\nAnswer: q, -1, j, -22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -a2141a9 - 7?\nAnswer: -a214205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -100, 5, -1\/3.\nAnswer: -100, -3, -1\/3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.12, 1, -0.3, -3, -8398?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 535487 + -30?\nAnswer: 535457","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*(-2 + sqrt(19)*3))**2 + (2 + sqrt(2736) + -1)**2)*-1.\nAnswer: -2912 - 12*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*i = -i + 60. Calculate the common denominator of i\/14 - (52348\/168)\/23 and 43\/7.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -9.224 to one decimal place.\nAnswer: -9.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 2 h when three letters picked without replacement from hhqqqqqh?\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let -13319*k**2\/7 - 26938*k\/7 - 600\/7 = 0. Calculate k.\nAnswer: -2, -300\/13319","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -14*d - 10. Let k(t) = t + 1. Suppose -5*u - 5*m = -7*u - 19, u = 4*m - 14. What is u*a(n) - 22*k(n)?\nAnswer: 6*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -1, 7, -3, -2 in descending order.\nAnswer: 7, 6, -1, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -53*d - 1. Let n be l(-2). Let c = n + 0. Let t = 104 + c. Calculate the highest common divisor of 19 and t.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 - -4. Let r be 1\/o - (-6)\/(-24). Let h(i) = -i**3 - 11 + 0 - 3*i**2 + 2*i**2. Calculate h(r).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f + 9 = -6*p + p, 0 = 3*f - 5*p + 1 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is (108\/(-60) - -2) + (-1023668)\/(-10) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 259 + -59. List the prime factors of x.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 4824948 and 4824940 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2 + 0 + -2 - (-72)\/(-1044). Put -0.4, t, 3 in ascending order.\nAnswer: -0.4, t, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (0 + 1)\/((-27)\/(-24489)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence snan when four letters picked without replacement from {a: 2, n: 4, q: 2, p: 7, s: 5}.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -24 divided by -10869?\nAnswer: 8\/3623","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 204*z**2 - 2*z - 15. Let v(c) = c**2 + c + 7. Calculate -t(p) - 2*v(p).\nAnswer: -206*p**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 975850.4 litres to millilitres.\nAnswer: 975850400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -7*n**2. Suppose -j + v + 3 = 0, -j + 0*v - 2 = 4*v. Let m(q) = -9*q - 2*q**j + 9*q. Give a(m(b)).\nAnswer: -28*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (b + b + 0*b)*(2 + 0 + 0)*(81 - 81 + 7*b).\nAnswer: 28*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12289027.\nAnswer: 97, 126691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 106 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21a (base 11) to base 7.\nAnswer: 524","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/9, -10, 5, 0, 4, -390 in descending order.\nAnswer: 5, 4, 2\/9, 0, -10, -390","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-5 + -1)*10\/(-3). Let v be (63\/(-12) + 3)\/((-8)\/96). Let h = v - z. What is the greatest common factor of 77 and h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 10*y + 3*y**2 - 6*y**2 + 2*y**2 - 18. Suppose -15 = -z + 3*n, 2*z - 53 = 5*n - 25. Determine l(z).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1197 and 437730930?\nAnswer: 1197","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5645\/2 + -2823. Which is the nearest to y? (a) 4 (b) 1 (c) -4\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -69057\/4, -0.23, -83?\nAnswer: -0.23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 104 - 141. Let o = -32 - m. Suppose -2*u + 5*a - 7 + 17 = 0, o*a - 15 = -3*u. Solve -2*j = -u*j + 9 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ss when two letters picked without replacement from {g: 3, s: 4, a: 2, q: 6}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9 + -8.5. Let x = -547\/60 + 37\/4. What is the biggest value in x, 3, l?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q - 5. Let x be k(-5). Solve 5 = -x*z - z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -13, -0.4, 4, 250?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2887231.\nAnswer: 67, 43093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(4\/7))**1 assuming f is positive.\nAnswer: f**(4\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*y - 2*y + 4*y)*(0 + 1 - 3)*(9 + 13*y - 9) in the form o + z*y + q*y**2 and give q.\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = 0, -5*p - 4*a - 3 = -2*p. Let t(u) = -8*u - 1. Calculate the remainder when 12 is divided by t(p).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7429099*c**3*d - 22329*c**2 + 4*c*d + 21*d - 2 wrt c?\nAnswer: 44574594*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is (-290)\/(-1*(-3)\/6*-4) a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 60.69578 millennia in centuries?\nAnswer: 606.9578","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47*f - w - 1045 = -51*f, -3*f - w = -782. Calculate the highest common divisor of f and 696.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = -0*f - 2, -5514 = -4*d - 3*f. What is the remainder when d is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.253*0.037985\nAnswer: -0.009610205","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4 + -6. Let a be ((-44)\/10)\/(o\/(-20)). Round a to the nearest ten.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -25819 + 25821. What is the nearest to 0 in f, 4, 0.3, 7?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.47306g to nanograms.\nAnswer: 6473060000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hgee when four letters picked without replacement from gggheeg?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -5277*j**2 + j - 4. Let w(d) = -d. Let t(h) = -u(h) + 3*w(h). Let z be (-224)\/36 - (-8)\/36. Let o be t(z). Round o to the nearest 100000.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b\/b**(-10\/3))\/b**(2\/21))\/(b**(-2)\/b)**(-6\/5))**(-13) assuming b is positive.\nAnswer: b**(-871\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -32 + 9. Let j = q - -23.3. What is the nearest to j in 5, -3\/4, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:10 PM and 2:41 AM?\nAnswer: 691","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vt when two letters picked without replacement from {q: 1, g: 6, t: 2, v: 3}.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 126 is divided by 57?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2312041 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = 2*y - 5, 0 = r - 5*r + y + 15. What is the third derivative of 0*d**2 - 3*d**r + 2*d**5 + 2*d**2 wrt d?\nAnswer: -60*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -1518*y + 6. Let h be ((-6)\/10)\/((-4)\/60*-3). Let u be n(h). Round u to the nearest 1000.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -11*i. Let c(u) = 3*u**2 - 2*u**2 - 11*u**2 + 6*u**2. Calculate f(c(d)).\nAnswer: 44*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 269401331 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 2*o - 6. Let v(q) be the third derivative of q**3\/6 - 242*q**2. What is -l(x) - 5*v(x)?\nAnswer: -2*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ujuurwuk. What is prob of sequence kw?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a kilometer in centimeters?\nAnswer: 6000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -69\/216874 and 121\/24.\nAnswer: 2602488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-5010)\/(-40))\/((-13)\/(-52)) is divided by 36.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 452*f**3 - 1627 - 34*f**3 - 25*f**3 + 1627.\nAnswer: 393*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b**3 - 10*b**2 + 4*b + 3. Let h be j(-10). Let x = h + 37. Solve -m + 0 - 2 = x for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (353 - (3 - 6))\/2. Suppose p = 5*o - 886, 3*o - 4*o = -p - t. Calculate the remainder when o is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 272\/(-680) + -13*2\/10\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 118122 + -81348. What is the tens digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1521 and 52?\nAnswer: 6084","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -20 + 22. Suppose 0 = s*p - 0*p. Let j = 19 + p. What is the units digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f**2 - 9*f - 12. Let w be t(-7). What is the second derivative of -2*z**2 - 19*z + 25*z + 0*z**2 - z**w wrt z?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4.481*1.\nAnswer: -4.481","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3270034 by 1.\nAnswer: -3270034","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-55)\/(-60) - 2\/8) + -1. Let d be (2 + (-19)\/8)*-6. What is the third biggest value in g, d, 3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 37438.09549 and 0.0234.\nAnswer: 37438.11889","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b**3 + 7*b**2 + 8*b + 8. Let w be d(-6). Let p = -2 + -1. Are w and p equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.145 + -1.855. What is the smallest value in w, 15, 2, 0?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11 - -1001010111000110011?\nAnswer: 1001010111000110110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.5, -3\/4, -3, 1\/4, 0.377, -332?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 108\/81*(-6)\/2.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -8*n - 2. Let p(f) = 41*f + 11. Let t(i) = 2*p(i) + 11*w(i). List the prime factors of t(-2).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1895043717 a multiple of 1197?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aa when two letters picked without replacement from {a: 7, g: 2}?\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/360 and -43\/56.\nAnswer: 2520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 616*z - 2832. Calculate the remainder when d(5) is divided by 64.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 27396 and 71232.\nAnswer: 162622656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the second derivative of -k**7\/840 - k**6\/60 - k**5\/20 + 2*k**3 - 40*k + 1. Let p(n) be the second derivative of h(n). Determine p(-4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 36 divided by 1\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11 + -3. Suppose 5*i = 33 - r. Let u(y) = y**2 - 6*y + 4. Determine u(i).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -78*z - 46*z + 33 + 215. Solve -b + z*b - 9 = 0 for b.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**2 - 44*w - 42.\nAnswer: -2*(w + 1)*(w + 21)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2 + -3 + 2)*20. Calculate the greatest common factor of 220 and r.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1892 - 1318. Let x = -577 + h. What is the nearest to 2\/3 in 2, x, -1\/2, -5?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 66 and 7224.\nAnswer: 79464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -971.29 to the nearest ten.\nAnswer: -970","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5467\/165 - 2\/6 - (-4 + (-95)\/(-25))?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -142.4269 - 5420326.5731. Let h = 5420465.919837 + c. Let u = -3.08 - h. What is u rounded to five decimal places?\nAnswer: 0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*w + 19*w + c - 5 = 0, -4*w + c + 11 = 0. Solve -5 = 2*a - 5*n + 16, w*a + 6 = 2*n for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -25868749*l**4 + 76423996?\nAnswer: -103474996*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (30 + -30)\/(-2 + 1). Let d(r) be the second derivative of b*r**2 + 0 - 1\/12*r**4 - 5*r + 1\/2*r**3. What is the second derivative of d(o) wrt o?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 32*t - 0*t - 2445 - 8275. Which is bigger: t or 332?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -145.529 at least -108?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*i**2\/2 - 40991580*i + 280051605149400.\nAnswer: 3*(i - 13663860)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in eleven quarters of a micrometer?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 15 - 20. Let k be z\/25 + 12\/10. Solve -o - k = -0*o - j, 0 = -4*o + 3*j - 7 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = -0*q + 10, 5*q = 4*b - 101. Suppose -4*g + 29 = 4*s - 5*s, -s + b = 4*g. Solve a = -g + 1, 0 = h - a - 3 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of r**4 - 6*r**3 + 19854*r**2 - 144960*r - 1.\nAnswer: 12*r**2 - 36*r + 39708","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*l**2 + 8*l**2 + 4*l**2.\nAnswer: -l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 10 - -2 - 1 - (8 + -24 - -9)\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2860\/208 - (-3)\/(-4). Suppose -4*s + 9 + 3 = 0. Suppose -10 = -k - s*j, -2*k + 0*j + 14 = 4*j. Solve 3*w = -5*i - 21 - q, -2*w - k = -i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -10.1 - -10.4. Let n = -2103\/11 - -191. Which is the third smallest value? (a) -2 (b) -8 (c) p (d) n\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-5*sqrt(360) - sqrt(360))\/sqrt(6))\/sqrt(12)*2*-4)**2.\nAnswer: 11520","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -7\/8, -2\/21, -2\/23?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2285824 rounded to two dps?\nAnswer: 0.23","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*l - 1 + 1)*(-2 + 3 + 1) + (l + 0*l - 6*l)*(0 + 2 - 1).\nAnswer: -9*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -4714, -4715, -4716?\n\"Answer: -y - 4713","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20302194?\nAnswer: 2, 3, 11, 307609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 379 + -3011\/8. Factor -i*d - 3\/4*d**4 + 3\/4 + 3\/8*d**5 - 3\/4*d**3 + 3*d**2.\nAnswer: 3*(d - 1)**4*(d + 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2115 and 2115?\nAnswer: 2115","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -40*(5 - 19185)\/4. Round z to the nearest ten thousand.\nAnswer: 190000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w**3 - 2*w**2 + 2*w + 6. Let l(j) = j**2. Let p(t) = -t**3 + 3*t**2 - t + 2. Let k be p(3). Let m(d) = k*b(d) + 3*l(d). Determine m(-5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0015 to 2 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -38, 0, 13, -4, 3 in decreasing order.\nAnswer: 13, 3, 0, -4, -38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*s**6*u - 1442*s**5*u + s**3 - s**2 - 2*s*u - 558*s wrt s?\nAnswer: -240*s**3*u - 86520*s**2*u + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1463*j - 678 + 235 - 461 - 468 - 431 with respect to j.\nAnswer: -1463","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -72333 + -3?\nAnswer: -72336","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 42 and 6.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4264.\nAnswer: 2, 13, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the second derivative of 213*g**5\/4 - 1879*g**2 + 3626*g. Find the first derivative of r(f) wrt f.\nAnswer: 3195*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -12 + 8. Let c be (p - -12)\/(-4) + 0. What is the common denominator of -137\/12 and c + (-55)\/(-30)*1?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - (0 + 5)) + 2 - -3.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 8 = -4*a - 22, -a - 21 = 3*r. Calculate the lowest common multiple of 24 and -4 + a\/6*-46.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 14 and 70.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1161 to the power of 1\/2, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 7*m**3 + 9*m**2 + 2*m - 5. Let j be 2\/(-7) + 96\/42. Let t(h) = 3*h**3 + 4*h**2 + h - 2. Let q(a) = j*r(a) - 5*t(a). Solve q(o) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.15694 litres to millilitres.\nAnswer: 2156.94","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i**3 + 9*i**2 + 15*i + 16. Give u(11).\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1 + -3. Let t = 12\/7 + -65\/42. Which is the second biggest value? (a) t (b) -1 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the first derivative of 2\/3*s**3 - 3\/2*s**2 - 10 - 4*s. What is q(3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -37\/744 and -119\/1674?\nAnswer: 6696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrffrrrfrhrrfhhrfhr. What is prob of sequence hhf?\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f**2 - 52*f + 708. Give g(31).\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1397928*d*o*x + 3*d*o + 41*d + 2151 wrt x?\nAnswer: -1397928*d*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 239 = -9*h + 257. Let v = 8 + -3. What is the biggest value in v, -8, h?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 352 and 1826?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fcq when three letters picked without replacement from {j: 1, f: 2, c: 4, z: 1, q: 1}.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v**2 - 1. Let w(s) = -12*s**2 - 11. Let b(l) = -22*j(l) + 2*w(l). Let c(p) = -1 + 7*p**2 + 1. Give c(b(g)).\nAnswer: 28*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((u\/u**(2\/5))\/u*u)\/u*u*(((u*u*u**(-1\/2)\/u)\/u)\/u)\/u)\/(u**1)**(-1))**31 assuming u is positive.\nAnswer: u**(-279\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 - -5 - 4 - 1) + 2?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -956*a**4 - 236996*a**3 + 29*a**2 + 120*a - 10266.\nAnswer: -22944*a - 1421976","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/(-4) - 15\/(-30). Let o(z) be the second derivative of -1\/25*z**6 - 1\/30*z**4 + u*z**3 + 0 + 3\/50*z**5 + 1\/105*z**7 + 0*z**2 - 2*z. Factor o(g).\nAnswer: 2*g**2*(g - 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-2))**(-1\/20)*q**6\/(((q*q*q**10*q)\/q)\/q) assuming q is positive.\nAnswer: q**(-49\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (0 - -3)\/((-1)\/11). List the prime factors of b\/2*-2*1.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/((-11 - -31)\/(-340)). Solve -3*s = 5*a + 3, -2*a - 5*s = u - 31 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 261640859 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34650*w + 34439*w - 68986*w.\nAnswer: 103*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -30.2 - -30.9. Which is the biggest value? (a) n (b) -1 (c) -4 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7 - -11. Let k(w) be the third derivative of w**4\/24 + 2*w**3\/3 - 3*w**2. Let t be k(-4). Solve t = 2*l - q*x - 14, 5*x - x + 8 = 0 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 277 is divided by 5\/(-2)*56\/7*-1.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7)\/98*((-180)\/(-6))\/5?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 2, r: 1, l: 4, a: 1, u: 9}. Give prob of sequence rsla.\nAnswer: 1\/7140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -10*2\/(-4) + -1. Suppose w = g*l - 16, -5*l + 9 = 5*w - 11. Let y = w - -4. What is the units digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(1\/5)*g**20 assuming g is positive.\nAnswer: g**(101\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 44821252*k**3 - 340*k**2 + 159242?\nAnswer: 268927512","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w**3 - 3*w**2 + 6*w - 10. What is the smallest common multiple of v(-5) and 7?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 0, 10, 146.\nAnswer: 0, 1, 10, 146","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 75*i**3 + i**2 - i - 1. Let c be q(-1). Suppose 0 = 8*x - x + 91. Let t = x - c. Calculate the remainder when t is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -134 = -5*s - 2*m + 97, s - 54 = -3*m. Suppose 6*v - s = 27. Solve l - v = -3*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 66081 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 144 (b) -3 (c) -3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*q - 31 + 31)*((-3*q + 2*q + 4*q)*(-2 + 3 + 0) + (-1 + 1 + 2)*(-4*q + 4*q - 2*q) - 22*q + 9*q + q).\nAnswer: 78*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (36\/20)\/(-1*9\/(-30)). Let w(j) = 4*j. Let q be w(1). Solve -n + q*o = -6, -o = -x*o - 10 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -1, 1, -88, -3 in ascending order.\nAnswer: -88, -3, -1, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 8\/6*(-18)\/(-12). Suppose 2*s - 7*s = -20, -20 = -v*c - 3*s. Suppose -c*g + 3*x - 4 + 1 = 0, g - 28 = -5*x. Which is bigger: 4 or g?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.08 and -2578701924393.6.\nAnswer: -2578701924393.68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 55991440?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 10422?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 140443 to the power of 1\/3, to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k**3 - 3*k**2 + k - 5. Calculate the remainder when p(-4) is divided by 28*(-12)\/(-4872) + 0 + 172\/29.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.1 (b) 0.2 (c) -1387 (d) 1 (e) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 10 divided by -32\nAnswer: -5\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 91, 143, 225, 331, 455?\n\"Answer: -j**3 + 21*j**2 - 4*j + 75","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*q - 7*q - 3*q)*(14 - 4 - 4) + (0 + 2 + 0)*(-q + 0*q - q) - q + q - q to the form x + i*q and give i.\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1287*b**4 + 658*b wrt b.\nAnswer: -15444*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 117802853.\nAnswer: 7, 2143, 7853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 220 = -0*k. Suppose -k = 4*t + t. Let h = -7 - t. Solve 4 = -2*u - h for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.5 + -0.8. Suppose -f = -0*f. Let n = f + -1. Does n = x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 20 and 84374.\nAnswer: 843740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 790 is divided by 66.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4 + -518b74?\nAnswer: -518b78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the third derivative of -3\/2*a**3 - a**2 + 0*a + 0 + 1\/6*a**4. Let s be j(6). Calculate the highest common divisor of s and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 99 or 31237\/313?\nAnswer: 99","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 2*q**2 - 8*q. Let i(a) = -a**2 + 3*a. What is -8*i(x) - 3*v(x)?\nAnswer: 2*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.440305 to one decimal place.\nAnswer: -2.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4741 + -4736. Solve -5*r + f = 0, -4*h + 9 = -20*r + 17*r for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a kilometer in meters?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1156446?\nAnswer: 2, 3, 41, 1567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1032 + -1010010?\nAnswer: -1011102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 47885929082768 - -0.15\nAnswer: 47885929082768.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -f**5 + f**3 + 576*f wrt f?\nAnswer: -20*f**3 + 6*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -316*w + 2512. Does 98 divide u(-25)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 2*b**2 - b**2 - 9*b + 9*b. Let o(a) = 1 - 1 + 2*a**2. Calculate i(o(f)).\nAnswer: 4*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -553292800 to the nearest one million.\nAnswer: -553000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 12794 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 minutes after 11:12 AM?\nAnswer: 11:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*v**3 - 4*v**3 + 3*v**3)*(-19 - 29*v - 16*v + 19).\nAnswer: -180*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -11 - -19. List the prime factors of p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z**3 + z**2 - 4*z + 113. Suppose -2*k + 4*x = 8, x + x = -5*k + 4. What is the hundreds digit of t(k)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 30186\/11 + -2744. Let f = -3.92 + -0.08. Let s = -0.16 + 1.16. What is the nearest to s in f, y, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 6*n + 4*n = -44, 4*b - 190 = -n. Let i = b - 33. What is the highest common divisor of 120 and i?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 715351\/147 - ((-3)\/3)\/(-3)?\nAnswer: 2, 3, 811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in -2\/9, 26, -0.09, -4\/5?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -46\/565 and -23\/33448?\nAnswer: 167240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dpppdsdtdp. Give prob of picking 2 d and 1 t.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 848\/60 - (-6)\/(-45). Let l = 18 - q. Suppose 0 = -4*g - 5*n + 111, g - 5*g + 112 = l*n. List the prime factors of g.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 337 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 2 + -7 - 0.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 615 divided by -615.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v**3 - 7*v**2 - 11*v + 3. Let l be p(-6). Let k = 274 + l. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 2, d: 5}. What is prob of picking 2 d and 2 t?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -6*u**3 + 57*u**2 - 14*u - 13. Let y be w(8). What is the highest common divisor of 44 and y?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5843801?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 3, -0.2, -4, 15?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*c + 0*c + 0*c + 0*c - 44.\nAnswer: 10*c - 44","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 120.616 rounded to the nearest 100?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -7*l**2 + 33*l**2 + 0*l**2. Let a(o) = -2*o**2. Determine m(a(i)).\nAnswer: 104*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 32991 (b) -1\/40 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 10) to base 15.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/2 + 1560\/(-560)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 372 minutes before 7:44 AM?\nAnswer: 1:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5\/4, 8721, -13, 0.3, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*d - 1 - 4*d + 3*d + d.\nAnswer: -3*d - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 173496034?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*l - l + 42. Let n be -4 + -124 - l\/(-3). Calculate the remainder when ((-10)\/25)\/(4\/n) is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2165, 2160, 2151, 2138, 2121, 2100, 2075?\nAnswer: 2046","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*f + 83 - 150 + 4*f to the form g*f + n and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 2*c - 4. Let g be d(3). Suppose 5*i - 20 = 7*u - 2*u, -3*u = -g*i + 11. Is (-4)\/(-2)*i + 33 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + -1 + sqrt(3) + sqrt(3) + sqrt(15)\/(sqrt(20)\/sqrt(4)) - (sqrt(75) + (sqrt(75) - (2 + sqrt(75))) + -1))*1*-3)**2.\nAnswer: -144*sqrt(3) + 252","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8 - 3. Let c be 6\/6*1*g. Solve 5*b + 3*h - 24 = 0, -h + c*h = 12 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t + 8 = 5*v, 65*v = 7*t + 63*v + 29 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -330000 to the nearest one million.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 227*a - 46364*a**2 + 30*a + 46363*a**2 to the form w + r*a + x*a**2 and give r.\nAnswer: 257","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 76 a factor of 8249643?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xkx when three letters picked without replacement from {x: 2, k: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*v - 5*m - 17, 0 = -0*v + 4*v - 5*m - 33. Suppose 0 + v = -2*z. Let h be (-3 - (-1 - -3))*z. Solve -h*a + 0*n = -n + 4, -2*a - 5 = 3*n for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 4*j + 1. Let r(s) = 22*s**3 - 6*s**2 - 7*s - 1. Let x be r(-1). Let c(q) = -15*q - 5. Let a(t) = x*f(t) - 6*c(t). Calculate a(-7).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 160 minutes after 1:59 AM?\nAnswer: 4:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l**2 - 3*l - 4. Let t be j(4). Let c be (-2590)\/(-25) + 2\/5. Suppose 0 = -2*y - o + 49, -5*y + o + 15 + c = t. What are the prime factors of y?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*g + 12 = t + 6*g, -g = 4. Let i be (t\/(-7))\/(101 - 99). Factor 4\/7 - i*w - 2\/7*w**2.\nAnswer: -2*(w - 1)*(w + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 550399391 to the power of 1\/2, to the nearest integer?\nAnswer: 23461","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**3\/5 - 44*p**2 + 1426*p\/5 + 1648\/5.\nAnswer: 2*(p - 103)*(p - 8)*(p + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 3 + (-5 - 0)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34761 is divided by 184.\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -4 (b) 1 (c) -7 (d) 2\/7 (e) 2 (f) 3 (g) 12719\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -159*d**2 - 1386271150199*d + 1386271150199*d.\nAnswer: -159*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -14344 - -14344.8. Let l be 8\/(-20) - (1 - 1). What is the third smallest value in l, -3, 3, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1.2 and 6938?\nAnswer: 8325.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*y - 15*y - 190 = 0. Let a(p) be the second derivative of -p**5\/20 + p**4\/12 - p**3\/3 + 2*p. Let o(h) = -2*h**3 + 3*h**2 - 5*h. Give y*a(k) + 2*o(k).\nAnswer: k**3 + k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1861730?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r**2 + 2*r - 5. Let q be t(6). Let m = -9 - q. Does 4 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5.00011 + -5. What is a rounded to 4 dps?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -934*f - 54 + 54.\nAnswer: -934*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the second derivative of -7\/6*r**3 - 1\/12*r**4 + 0 - 7\/2*r**2 - 11*r. Let x be h(-6). Sort -4, x, 0 in decreasing order.\nAnswer: 0, x, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 324*a**2*h - 2359*a**2*m**3 - 5*a*h - a*m**3 - a*m**2 + 5973*h + m**3 wrt a.\nAnswer: 648*h - 4718*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - 1) + 1 - (-3 + 4).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h**3 - 5*h**2 - 4*h - 2. Let t be j(-2). Let g(b) = 3*b. Let s be g(t). List the prime factors of 4\/s + (-83)\/(-9).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5047?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -5\/6, -1\/9, 0.4, 1321\/29 in descending order.\nAnswer: 1321\/29, 0.4, -1\/9, -5\/6, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c**2 + c. Let n be o(2). Let j = -3 + n. Let w = -2 - j. Solve r + w - 2 = 0 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*h**3 + 226*h - 8*h**3 + 7*h**3 - 1222*h + 495*h + 501*h.\nAnswer: -h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -116000 - -115903.9959. Let z = 307 - 211. Let n = p + z. Round n to 3 decimal places.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -99, -540, -1655, -3780, -7251, -12404, -19575, -29100?\nAnswer: -41315","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -44, -1229, -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -49 + a?\nAnswer: -3a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1078.9999997668 - -1079. What is f rounded to 7 dps?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-23)\/(345\/(-165))*-1.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 9.6 - 9.8. Let r = -0.4 + 0.7. Let i = -0.4 + r. Sort 0.1, o, i in ascending order.\nAnswer: o, i, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6879.709ng to milligrams.\nAnswer: 0.006879709","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 13045, 13043, 13043, 13045?\n\"Answer: s**2 - 5*s + 13049","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 3*s**3 + 5*s**2 - 4*s - 3. Let k(p) = -4*p**3 - 5*p**2 + 3*p + 3. Let c(u) = -2*k(u) - 3*t(u). Is 13 a factor of c(-8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -3 + 58*i - 40 + 13 - 23. Is j(17) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -30 (b) 4 (c) 4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**1\/c)**(-3\/10)*c*(c*c**(-6)\/c*c)\/c*c**(-1\/6) assuming c is positive.\nAnswer: c**(-31\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 338418 is divided by 2960?\nAnswer: 978","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 65 = 5*a + 83, -2*a + 222 = 3*v. Calculate the remainder when v is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 43617 and 392542\/9 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + (-1 - 5) + 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.3417 to 1 dp.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -15bc59 - -2?\nAnswer: -15bc57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 404*c - 1684. What is f(4)?\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.03 + 0.37. Let h = -0.06 + -1.94. Let x = 265\/3 + -88. Sort h, w, x.\nAnswer: h, x, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 23 - 93 - (30 + -68)\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1212, 2120, 3028, 3936, 4844, 5752?\nAnswer: 6660","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*o + 22*o = 96. What is the greatest common factor of o and 128?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 40, 0, -1142, -5, 5, -1 in decreasing order.\nAnswer: 40, 5, 0, -1, -5, -1142","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - (2 + 2) - -3?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 235 minutes before 4:50 AM?\nAnswer: 12:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 573\/14 at most 1\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 395\/79 - 9531\/1980 and -56\/125.\nAnswer: 5500","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11b (base 15) to base 16\nAnswer: -fb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -96, 496, 4.\nAnswer: -96, 4, 496","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14065 is divided by 76?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 639767 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.0084 - -0.2924. What is j rounded to 1 decimal place?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 112456 >= 112455?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 619648850?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1600\/4*6\/(-5)*25\/(-120).\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 510 and 186915.\nAnswer: 255","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(0\/5 - -1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o**3 + 10*o**2 - 11*o + 1. Let w be b(-11). Suppose 0*v = -2*v - 2, 5*v = -z + w. Differentiate z*g + 19 - 18*g + 4*g with respect to g.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the first derivative of 13*a**7\/840 - a**6\/36 + 8*a**3\/3 + 5. Let f(s) be the third derivative of x(s). What is the third derivative of f(p) wrt p?\nAnswer: 78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1816 divide 9060024?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1420115?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rfpp when four letters picked without replacement from aqfppppaqryf.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -14.6428047 + -172\nAnswer: -186.6428047","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -2, 383, 5, 141, 87 in increasing order.\nAnswer: -4, -2, 5, 87, 141, 383","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 8\/8065, -2, -0.5, 4, -2.3 in increasing order.\nAnswer: -5, -2.3, -2, -0.5, 8\/8065, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 5 = b. Suppose 2*u - b + 4 = 0. Suppose 3 + u + 0*s**3 - 3*s**2 - 3*s**3 - 1 + 3*s = 0. What is s?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 128*c**2 + 505*c**2 - 635*c**2.\nAnswer: -2*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 410 minutes before 2:41 AM?\nAnswer: 7:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3945 and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from efzzzttgfz. What is prob of picking 2 t, 1 g, and 1 f?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 611*g**2. Let s(z) be the first derivative of -5*z**3\/3 - 3186. What is s(m(w))?\nAnswer: -1866605*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 335 is divided by 43.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in one twentieth of a millisecond?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1 + (-6 - (-16 + 6)). Let x(c) = -2*c**2 - 2*c + 1. Let b(r) = -r**2 - 2*r + 2. Let w(p) = -3*b(p) + 2*x(p). Give w(n).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the second derivative of -k**4\/12 - 7*k**3\/6 + 6*k**2 - 39*k. Let g be h(-8). Sort -10, g, -5, -2.\nAnswer: -10, -5, -2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1 (b) -1 (c) -4\/11 (d) -3 (e) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = c, 2*c + 92 = -6*s + 2*s. Is -98\/5 less than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 55 and 385?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(68) - (-5 + (sqrt(68) - (sqrt(68) - sqrt(68)*-5 - sqrt(68))) + sqrt(68) - sqrt(68)))**2.\nAnswer: 100*sqrt(17) + 1725","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*u + 133 + 194 = 74 for u.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 162897, 651630, 1466189, 2606574, 4072785, 5864822?\n\"Answer: 162913*j**2 - 6*j - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (11 - (-464)\/(-56)) + 2\/7. Suppose -3*r + 660 = k*m, 7*r = 4*r + 3*m + 630. What is the highest common factor of 172 and r?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -46 - 0.347269.\nAnswer: -46.347269","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/w**(-16))\/(w\/((w**12*w)\/w)))\/(w**(6\/13)\/(w*(w\/(w\/w**(-12)))\/w)) assuming w is positive.\nAnswer: w**(202\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.2 (b) 118 (c) -3.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7741, 15407, 23075, 30745, 38417, 46091, 53767?\nAnswer: 61445","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2850 - -59869\/21. Calculate the common denominator of b and -32\/5.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkvvvvvk. What is prob of sequence kk?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 11464 and 568?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 75\/45 + (-21)\/(-9). Suppose 5 = -5*l + 80. Let n be 1\/(-3)*l\/(-10). What is the closest to -0.2 in h, -0.5, n?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*r - 253 = -217 for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -89\/30 and (4 - (-74)\/(-18))\/((-4)\/(-750))?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1870 (b) -0.3 (c) 1\/4 (d) 188 (e) -4\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 83 is divided by 42?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1509 + 1511. Let c(w) be the first derivative of -5\/2*w**n + 0*w + 0*w**3 - 1\/2*w**6 - 6 + 0*w**4 + 0*w**5. Find the second derivative of c(r) wrt r.\nAnswer: -60*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-54 + 12 - 45) + (-4 - (-3 + (5 - 0)))?\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jtp when three letters picked without replacement from pmtjkrkj.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3480917.\nAnswer: 11, 71, 4457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 884, 3755, 8634, 15527, 24440?\nAnswer: 35379","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -11269.1 - -12253. What is k rounded to the nearest 10?\nAnswer: 980","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9634 + -3750. What is the tens digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1583 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by 27801.\nAnswer: -4\/27801","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -25 + -17550617?\nAnswer: -17550644","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 658 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 p(o) be the third derivative of 0*o**3 + 5\/6*o**4 + 0 + 0*o + 58*o**2. Let h(u) = -4*u**2. Give p(h(g)).\nAnswer: -80*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in eleven tenths of a hour?\nAnswer: 66","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wyyjjjjwwyjjjywjwy. What is prob of picking 2 y and 1 j?\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 372019075 take away 151.2?\nAnswer: 372018923.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(2\/7))**(1\/8)*u**(2\/3)\/u**(2\/9) assuming u is positive.\nAnswer: u**(121\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 9558037 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the first derivative of m**6\/1440 - m**5\/160 - 13*m**3\/3 + 1. Let c(b) be the third derivative of y(b). Factor c(v).\nAnswer: v*(v - 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12381 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 20429000 to the nearest one hundred thousand.\nAnswer: 20400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -2*d + 4*d - 3*d. Let y(p) = -3*p**2 + 2*p - 2. Let a(w) = -8*w**2 + 7*w - 7. Let q(m) = -2*a(m) + 7*y(m). Give q(b(s)).\nAnswer: -5*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -275543\/38 + 7249. Let x be -18 - -4 - (-1 - 0). Find the common denominator of ((-26)\/x)\/((-4)\/(-73)) and w.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1 - -3)*(-23)\/(-2). Let q(r) = -3*r**3 + 2*r**2 + 5*r + 1. Let v be q(-2). What is the highest common divisor of x and v?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -2 + 11*v - 16*v + 1 + 5*v**2. Let x be q(5). Let n = -65 + x. Is 17 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20222022 (base 3) in base 4?\nAnswer: 1033130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 3*q + 1772541 = 0, 17*q = 19*q - 16. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 696302 to the nearest integer?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -6\/851 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzededzdezdezdzz. Give prob of sequence dz.\nAnswer: 7\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*b - 56 = 35*b. Let n(r) = -r**3 - 15*r**2 - 23*r - 32. What is the units digit of n(b)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i + 10 = 5*i. Let z = -486 + 488. Find the third derivative of -z*l**6 + l**6 - 19*l**2 + 13*l**i wrt l.\nAnswer: -120*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -286 + 344. Calculate the remainder when b is divided by 17.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -2*z, 5*b - z = 22 + 10. Suppose 0 = -3*n + 5 + b. Suppose 4*a - 3816 = -n*r, 0*r - 2*a + 955 = r. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*r = 52*r - 5704. What is the greatest common divisor of r and 2294?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1 + (-5)\/3)\/((-318)\/477). Solve -4*n + 6*n + l = -4*w, -5 = -5*w for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 978265, 978263, 978261, 978259?\nAnswer: 978257","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 109*x**2 - 108*x**2 + 4*x - 5*x - 2*x**4 - x**3 as y*x**4 + a*x**3 + f*x**2 + l*x + c and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 103900 and 80?\nAnswer: 415600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 404 - 276. Suppose -m*g = -125*g - 15. Let v = -1.94 - 0.06. Which is the third biggest value? (a) -1\/2 (b) g (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -4*j**3 + 4*j**2 - 3*j + 1. Let h(m) = -9*m**3 + 7*m**2 - 5*m + 2. Let t(i) = -3*h(i) + 7*y(i). Let c be 3\/(3\/(-18)*-3). Give t(c).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 4*n**5 + 8*n**5 + 0*n**5 - n - 13*n**5. Let w(v) = -9*v**5 + 8*v**2 - 5*v. Let h(a) = -5*t(a) + w(a). What is the third derivative of h(c) wrt c?\nAnswer: -240*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13135 + 7858 = 698*v - 9021 for v.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2798.16 - 2868.7. Round f to the nearest one hundred.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 - (-3 + 12 - 2) - (-28 - -56)\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 273*b**2 + 88*b**2 + 5*b**2 + (2*b + 0 + 0)*(-b - 6*b + 0*b).\nAnswer: 352*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 18\/5 of a millennium?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2602037.\nAnswer: 17, 269, 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 970?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.23 - -0.13. Put q, 0.5, -0.3 in decreasing order.\nAnswer: 0.5, q, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 49447 to the nearest integer?\nAnswer: 222","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the third derivative of 13*l**5\/15 + l**4\/3 + l**2 + 3*l. Factor g(b).\nAnswer: 4*b*(13*b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 5*u - 3. Let p be b(3). Suppose -4*f - p = -32. What is the greatest common factor of 45 and f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11220110011 (base 3) to base 15\nAnswer: -1d921","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -79\/24 and (14 - 58378\/4845) + (-4)\/2.\nAnswer: 2280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -15.021 + -0.799. Let j = 0.18 - x. Let n = -11 + j. What is the second smallest value in 2, -3, n?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 1, o: 3, u: 7, p: 5}. What is prob of sequence uup?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*w + 42050 - 10*w - 41899.\nAnswer: 2*w + 151","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 2*r**2 - r - 8. Let w(v) = -4 - 26*v + 89*v**2 - 30*v**2 - 62*v**2. Calculate the remainder when c(-6) is divided by w(-8).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11\/(-220)*-5*-4*5?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 12021?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 620 minutes after 6:00 PM?\nAnswer: 4:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(468)*-3 + -2 + -6*sqrt(13))**2.\nAnswer: 96*sqrt(13) + 7492","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7.696 + 7.3. Let h = k + 0.496. Which is the nearest to h? (a) -0.01 (b) -0.2 (c) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(39)\/(-1*sqrt(3)) + sqrt(13) + sqrt(1573) + 2))**2.\nAnswer: 396*sqrt(13) + 14193","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2 - -2)\/(-3 - -1). Suppose -5*z - 15 = 0, t = 2*m - m + 2*z + 69. Let l = m - -99. Is 18 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + r + 295 = -0*a, 2*a - 594 = r. List the prime factors of a.\nAnswer: 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 40.12 - -0.88. Let l = 310 + -348. Let z = i + l. Sort -15, 1\/3, z in increasing order.\nAnswer: -15, 1\/3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 535350 and 128484.\nAnswer: 3212100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -3*f - 7. Does 7 divide d(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the first derivative of -x**2\/2 + 3. Let u be z(-3). Suppose -52 = -4*i - 4*s, -3*i + u*s + 29 = -4. What is the remainder when 22 is divided by i?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 124888 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: Convert 10043010 (base 5) to base 15.\nAnswer: 19005","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-11 - (7 + -3)) + -10 + (-8 + 6 - 2).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 6 - z - 5*z**2 + 6*z - 3*z + 7*z**2 in the form l + d*z**2 + x*z and give l.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5264*h**3 + 1883*h**3 + 2025*h**3 + 1747*h**3.\nAnswer: 391*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 243 + -242.966. Let t = z - 0.234. Let d = -1.3 + 0.3. Which is the nearest to d? (a) 0.2 (b) 2 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -475*-0.051.\nAnswer: 24.225","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -55, -21, 11, 41?\nAnswer: 69","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 12.5 + -12. Let z = 107 - 98.9. Let v = z + -8. Which is the nearest to v? (a) d (b) -0.4 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xllxllgxlxgglxx. Give prob of sequence gggl.\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 34 = 3*a + 24, 0 = -s + 4. Solve -b - 9 = a*t, 3*t + b + 8 = 5*b for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 986.1456 weeks?\nAnswer: 165672.4608","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**2\/9 - 1454*z\/9 - 1472.\nAnswer: 2*(z - 736)*(z + 9)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -32a - -18?\nAnswer: -312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -41*g - 76. Give b(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -6*k - 1. Calculate g(-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 209512?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d + 3*m - 0 + 18, 1 = 2*d + m. Suppose -d*o = -0*o - 12, 5*r = -o + 34. Solve 0 = -0*j - 2*j - r for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15067 rounded to the nearest 100?\nAnswer: 15100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3\/2, -1564, -0.5?\nAnswer: -1564","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2970851803 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -2*w. Let f(t) = -5*t**2 + 6*t + 6. Let c be 1*(-3)\/(9\/21). Let v(g) = 6*g**2 - 7*g - 7. Let k(u) = c*f(u) - 6*v(u). Give p(k(x)).\nAnswer: 2*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13, -15, -87, -209, -387, -627, -935, -1317?\nAnswer: -1779","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 - (19 - (20 - (2 + 9)))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 71535903?\nAnswer: 3, 23845301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seven halves of a litre?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*n + 1 - 1. Suppose n*u + 19840000 = -16*u. What is u rounded to the nearest one hundred thousand?\nAnswer: -1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1 and 103389.\nAnswer: 103390","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 70174 (base 10) to base 6\nAnswer: 1300514","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4676 + 4672. What is the closest to -0.2 in i, -1\/2, 2\/7, 3?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1, 596, -4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2 - 1c980?\nAnswer: -1c97c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 654?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101000000111110111110101 + -10?\nAnswer: -101000000111110111110111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the second derivative of u**5\/10 - u**4\/12 - 3*u**3\/2 + 5*u**2\/2 - u. Let j be 5035\/1060 + 2\/8. What is the units digit of f(j)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6 + 10. Suppose -5*p + d = -3*h, 2*p = 3*h - 1 - 1. Is (116 - -1) + p - 4 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1045 - 1018. Solve 5*u = -47 + m for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2303201 (base 4) in base 5?\nAnswer: 331424","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s\/s**(-1\/11)*s*s*s)\/s)\/(s**(-8)\/s)*(s**(-1\/4))**(2\/5))**13 assuming s is positive.\nAnswer: s**(17147\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*j - 3*j - 298121*j**2 + 343581*j**2 to the form s*j + c*j**2 + i and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -44 + 44.1. Let l = 318 + -3494\/11. What is the biggest value in t, -5, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -48 + 73. Suppose 244*i = 229*i + 300. Solve -3*r + 5*r + 3*k = -v, 0 = 3*r + k + i for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b + 4*w = 2, 0 = b + 3*b + w - 4 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 4*q + 18. Let l be x(-4). Solve -l = -3*u + u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 150226?\nAnswer: 2, 31, 2423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 32 + 13 - 11 - 18\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2477291 is divided by 5856.\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 10236?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(180)\/(-2*sqrt(10)))*3.\nAnswer: -9*sqrt(2)\/2 + 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 14083456 a multiple of 188?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j**2 - 3 + j + 8 + 2*j**2)*(-3*j + j + 0*j).\nAnswer: -2*j**3 - 2*j**2 - 10*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -24\/65 and -22\/33148427?\nAnswer: 165742135","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -476664 by 6.\nAnswer: -79444","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1481?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.4 and -11?\nAnswer: 4.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 3, 1, 4, 19, -72 in descending order.\nAnswer: 19, 4, 3, 1, -4, -72","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f\/f**37)\/f*f)\/(f\/(f**(3\/32)*f)))**(-11\/5) assuming f is positive.\nAnswer: f**(12639\/160)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -j**3 - j**3 - 2*j + 5*j**3 + 8*j**3 in the form b + s*j**3 + m*j**2 + z*j and give s.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 854, 862, 870?\nAnswer: 878","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*u + 5*i + 168, -46*i + 37*i = u + 4*u - 149 for u.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 314123?\nAnswer: 31, 10133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1022601 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 155984 and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/(3\/(-132)) + -2. Let p be ((-28)\/6)\/((-2)\/6). Calculate the highest common factor of w and p.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 - 7 = 3*y + w, -4 = 3*y - 2*w. Let c be -1*(-3 - (y + 1)). Let s = 879\/85 + -52\/5. Which is bigger: s or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22992*d - 3*i = -22988*d - 12, 3*d = -i - 1 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 4 + 2 = 0. Let x = 109 + -105. Sort -13, a, x in decreasing order.\nAnswer: x, a, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 53279 is divided by 18?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -3*o**2. Let s(t) = 5168*t. Determine r(s(q)).\nAnswer: -80124672*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 327 = -14*c + 9*c, 0 = -3*c + 5*d + 211. Solve 73*b - 12 = c*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j = -4*y - 23, 2*j - 427*y = -423*y + 26 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4 + -29. Let i = 107 - b. Suppose -19*o - i = -20*o. What are the prime factors of o?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f = -5*z - 8, -24*z + 38*z - 23*z + f - 10 = 0 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tkzxxtktxrkkkzdzzkxk. Give prob of sequence xx.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3991 + 4065. What is the remainder when p is divided by 28?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 745, 9614, 33675, 80524, 157757, 272970, 433759, 647720?\nAnswer: 922449","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3 or -219\/74?\nAnswer: -219\/74","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -11 + 0 + 15300\/255. Solve 75*y = -l + 499 for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1704 = 86*c - 3252 for c.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 19.4774 rounded to 0 dps?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 369*z = 366*z + 2*j + 2, -4*z + 4*j = 0 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 0.92, 1.\nAnswer: 0.5, 0.92, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w = -551 + 516 for w.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the second derivative of 21*o**5\/5 - 46*o**4\/3 + 62*o**3\/3 - 12*o**2 + 37*o. Factor x(r).\nAnswer: 4*(r - 1)*(3*r - 1)*(7*r - 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1463550 (base 7) to base 12.\nAnswer: 98100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*d**3 - 3*d**3 - d**3)*(-2*d + 3*d + 0*d)*(3 + 1 - 2)*(5 - 3 - 3).\nAnswer: 8*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -16 + 20. Suppose -2*x + 24 = -y*n, -x + 3*n + 4 = -11. Factor -m**3 + 2*m**5 - 8*m**4 + x*m**3 + 3*m**3.\nAnswer: 2*m**3*(m - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q - 4 + 4 + (-1 + 0 - 2)*(q - q + q))*(59 - 147 + 38).\nAnswer: 100*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23\/165 and -73\/135.\nAnswer: 1485","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w**2 + w - 1. Let u(i) = -10*i**2 - 14*i + 8. Determine 12*a(d) + u(d).\nAnswer: 2*d**2 - 2*d - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -30.685754 rounded to 2 decimal places?\nAnswer: -30.69","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 471*u - 2259. Give j(5).\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -h**2 + 0*h**2 + 11*h**2 + 4*h**2.\nAnswer: 14*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 - -0.96. Let a = 415174\/5 + -83035. What is the third biggest value in -2\/11, a, z, 0?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-730)\/(-100) + -8)*4\/14. What is the smallest value in 1, 0, z, 8?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 617961 (base 10) to base 5.\nAnswer: 124233321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from irrrrirrr. Give prob of picking 1 r and 1 i.\nAnswer: 7\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2.83 - 0.07. Let r = -0.5 - -0.4. Let p = d + r. Which is the second smallest value? (a) -0.5 (b) -2 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -35 - -53. Solve t = -4*v + b, 4*v - 3*v + 9 = -2*b for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(88)\/(sqrt(8) + sqrt(8) + 3*sqrt(8)) - sqrt(11)) + 5*sqrt(396) + -5 + (sqrt(539) - -4*-1*sqrt(539)))**2.\nAnswer: -82*sqrt(11) + 19116\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 35415 and 1473264?\nAnswer: 7366320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 570235 is divided by 1451.\nAnswer: 1443","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -33.644 + 0.344. Let v = 33.1 + z. What is the second smallest value in 14\/3, 1, v?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(625)*-3*-6*-5)\/(sqrt(125)*3*3*-3).\nAnswer: 10*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h\/((h\/(h\/(h**(1\/4)*h))*h*h)\/h))**(2\/3))**29)**(-21) assuming h is positive.\nAnswer: h**(1015\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -27, -7158.\nAnswer: -7158, -27, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**33\/(b**(1\/29)\/b)*(b**(1\/16))**(-2\/21) assuming b is positive.\nAnswer: b**(165451\/4872)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 105267 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k**(-6))**(-2\/9))**(-1\/12))**35 assuming k is positive.\nAnswer: k**(-35\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 5536487 to the power of 1\/6, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 4*n, -3*n - 45 = -4*x + 154. Calculate the remainder when 49 is divided by x.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53*m - 881646 - 1051611 = 1777008. Does 15 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3777233017 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2*l + 1)*(-1 - 2*l**4 + 1) + l**5 + 4*l**5 - 6*l**5 - 5*l**5 + l**5 + 3*l**5 + 775*l**5 + 154*l**5 - 169*l**5.\nAnswer: 754*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -4 and -6510379.7?\nAnswer: 6510375.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-16*y**2 - 13*y**2 + 4*y**2)*(252 - 33 + 47 + 229).\nAnswer: -12375*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3796 and 9344?\nAnswer: 292","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the second derivative of -d**4\/12 - d**3 - 3*d. What is s(-5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(((5 + 2 + sqrt(128) - sqrt(128)) + sqrt(128) + -5 + sqrt(128)*-2 - -5*(sqrt(128) + sqrt(128) + 1)*2) + -4))**2.\nAnswer: 21888*sqrt(2) + 416448","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 872237?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30121028?\nAnswer: 2, 7, 101, 10651","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 divided by -4?\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the first derivative of -4*o**3\/3 + 308*o**2 - 612*o - 2663. Factor h(x).\nAnswer: -4*(x - 153)*(x - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/5? (a) 2\/3 (b) -85.4 (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-6)\/(-5))\/((-24)\/(-80)))\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-33)\/(-9))\/(10153\/19383)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/(-21) + (-512)\/84 - -5. Sort 5, -8, w.\nAnswer: -8, w, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23\/44 and -53\/13204.\nAnswer: 145244","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l = 2*y, 0 = -2*y - 2*y + 2*l + 8 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = -0*i - 246. Suppose 0 = -3*j - 5*s - 11 + i, -s + 21 = j. Calculate the remainder when 65 is divided by j.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 43*d**2 - 14*d - 43. Let v(n) = -9*n**2 - n + 2. Let l(y) = -f(y) - 5*v(y). Determine l(-8).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14531320 rounded to the nearest ten thousand?\nAnswer: 14530000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 227623\/22315 + -2\/4463. What is the common denominator of 30\/7*(-16)\/54 and c?\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 235447885100 and 387.\nAnswer: 235447885487","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 181*t = 157*t + 5328. Let o = t - 10. Calculate the highest common factor of o and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 47 (base 13) in base 7?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g**3 - 6*g**2 + 2*g - 5. Suppose -5*j = 4*m - 49, 0 = -2*m + 4*j - 0*j - 8. List the prime factors of w(m).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z + 4. Let b(o) = -3*o - 13. Let q(m) = -4*b(m) - 14*y(m). Calculate the remainder when q(-5) is divided by 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 195958698?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rrr when three letters picked without replacement from mmrrurr?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 55 and 1430?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -21991 - -120954. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -8*g - 3. Let z = -16 + 15. Let m be u(z). Let n be 4*(-3)\/(60\/(-25)). Solve b + m = 2*y, -n*y + 10 - 2 = -b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the third derivative of 43*u**6\/8 - 319*u**4\/12 - 257*u**2. Find the second derivative of a(i) wrt i.\nAnswer: 3870*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20200729 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1976)\/(114 - 38)*-1*9\/42?\nAnswer: 39\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 2*v = -0*z - 2, 2*v = -4*z - 16. Suppose -5*t - 7 = -27. Let w(r) = -4 + t + r + 3 - r**3. Let o(m) = m + 1. Give z*o(u) + w(u).\nAnswer: -u**3 - 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -107\/20 and -29\/33472870.\nAnswer: 66945740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r**2 + 1 - 1 + 0*r**2. Let x(o) be the second derivative of -o**4\/4 + o**2 - 2*o. Let q(f) be the first derivative of x(f). Determine q(w(y)).\nAnswer: -6*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 26 + -6. Find the third derivative of 21 + d - 41 + 6*k**2 + 4*k**3 wrt k.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in -7031, 5, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2, -2\/59, 2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 3*d - 456 = 0, 11*c - 360 = 7*c - 4*d. What is the greatest common divisor of c and 6231?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2.5 or -0.00733781?\nAnswer: -2.5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u + 5 = u, -3*u = 4*m - 19. Let j = 395\/44 - 96\/11. Let c = -0.11 - -0.01. What is the closest to 2\/27 in j, c, m?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 0 + sqrt(1216) + -1 + sqrt(1216) + -3.\nAnswer: -7 + 16*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 332170, 664360, 996566, 1328788, 1661026, 1993280?\n\"Answer: 8*d**2 + 332166*d - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 95515 is divided by 31837.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f + 8. Let h be w(6). Let z be (46\/(-6))\/(3\/(-9)). Suppose 2*c - 4*k = -0*k - 4, k = -5*c + z. Solve 3*g - c = h for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 91*k + 179 - 16 - 89*k to the form a + r*k and give a.\nAnswer: 163","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 1, f: 1, r: 2, q: 1, z: 1, c: 1}. Give prob of picking 1 q, 1 f, and 1 c.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4, 3, 10, 31, 72, 139, 238, 375?\nAnswer: 556","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5\/3 (b) 4\/3 (c) -2\/5 (d) -4 (e) 14\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 234 divided by -117.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -34.7 at least -361\/8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 224.2294 + -0.3.\nAnswer: 223.9294","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -40 rounded to the nearest ten?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -0.0505 + -0.33\nAnswer: -0.3805","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 4*s. Let d be y(3). Suppose 4*i + i + 24 = 4*b, -5*i = 2*b - d. Let x be ((-25)\/10)\/((-3)\/6). Solve x*c = b*c + 1 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(a*a\/((a**0\/a)\/a)*a))**44\/(((a*a**5)\/a)\/(a\/a**(-1\/5))))\/(a*a**(-2\/7)*a*a\/a**(1\/4))**(-15) assuming a is positive.\nAnswer: a**(-19997\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.4 and -387.171.\nAnswer: 154.8684","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -26 - 0.02?\nAnswer: -26.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(275) - (-2 + sqrt(275) + -5))**2 + -3 + 4*(sqrt(11) - (-4 + sqrt(11) + sqrt(11))).\nAnswer: -4*sqrt(11) + 62","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*g**2*v**2 + 6145*g**2*v - 122*g**2 + 612*g*v**2 + 623*g + 8*v wrt g?\nAnswer: 4*v**2 + 12290*v - 244","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -96*q**2 + 51*q**2 + 4 - 30*q**2 as c*q**2 + i + t*q and give c.\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 289204052017 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iftafoc. Give prob of picking 1 o, 1 a, 1 f, and 1 c.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1568 and 22?\nAnswer: 17248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43 = 9*a - 34 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.6 + -5.6. Let b = -22 + 24.6. Let c = b - -1.4. What is the nearest to 1\/4 in 1, u, c?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/(-4) + 14\/(-40). Let j be 16 - (-8463)\/(-520) - 6\/(-15). Which is the closest to 3\/4? (a) 2\/11 (b) k (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.006 + -0.506. Let p = -6 + 8. Put n, p, 5 in decreasing order.\nAnswer: 5, p, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j*j**24*j*j*j\/(j*j*j**(2\/29)) assuming j is positive.\nAnswer: j**(752\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 212291 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -19*l**2 - 4 + 0*l**3 + 2*l**3 - 28*l**4 - 1503*l + 1503*l wrt l?\nAnswer: -672*l + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.2 + 0.3. Let z = 102 + -163. Let g = z - -60.5. Sort g, 2, b in decreasing order.\nAnswer: 2, b, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.99 times -1268\nAnswer: -1255.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 198, 402, 616, 846, 1098, 1378?\n\"Answer: x**3 - x**2 + 200*x - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 300 and 2460.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3, -14, 0.5, 0.056, 1\/6, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 193.17 + -195. Let b = -65.53 - r. Round b to the nearest ten.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.38353 less than 0.03?\nAnswer: 0.41353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 77977 smaller than -628?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -29290, -54283, -79278, -104275, -129274?\nAnswer: -154275","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 5, 38, 85, 140, 197, 250, 293?\n\"Answer: -d**3 + 13*d**2 + d - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*w - 2*p - 13256, -5*w + 10561 = p - 2686. Is 50 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -236160 rounded to the nearest 100000?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1671, 747, -1763, -6651, -14709, -26729?\nAnswer: -43503","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.02 and 6.\nAnswer: 0.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3225\/7 - -461. What is the smallest value in 3\/7, -2, 10, -3, u?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -594, -576, -548, -504, -438, -344, -216, -48?\n\"Answer: p**3 - p**2 + 14*p - 608","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 44*f - 6. Let q be v(-2). Let r = q - -204. Let d = -54 + r. Is 6 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 357*k**2 - 83*k + 7. Let s(v) = -2141*v**2 + 499*v - 45. Let a(c) = -2*s(c) - 13*x(c). Find the second derivative of a(m) wrt m.\nAnswer: -718","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -60 - -11 - -31 - 14\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 64 and 224?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -2*c**2. Let g(i) = -3741*i**2. Determine j(g(m)).\nAnswer: -27990162*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -8*g*k**2*l - 13*g*k**2*s + 2*g*k**2 + 1789*g*k*l**2 + 2*g*k + 554454*g*l**2*s wrt s?\nAnswer: -13*g*k**2 + 554454*g*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -129109470+1208\nAnswer: -129108262","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zujjyea. Give prob of sequence jaa.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put together -290 and -1.56.\nAnswer: -291.56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 86 - 33 = -4*m, -m = -5*w + 32. Let n be (m - 12\/(-2))*479\/1. List the prime factors of 16\/(-24) - n\/3.\nAnswer: 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 1301 = 875. Is 25 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 130*s**3 + 863*s**2 - 311*s + 146. Determine g(-7).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 157, 122, 17, -194, -547, -1078?\nAnswer: -1823","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/36 and 105\/116?\nAnswer: 1044","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -79 (b) 0.1 (c) 2 (d) 0.06 (e) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 11\/5004 and 59\/28728.\nAnswer: 3993192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/(((-4)\/(-6))\/2). Let m(f) be the third derivative of f**6\/120 - f**5\/30 - f**4\/8 + f**3\/2 - 3708*f**2. Give m(q).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2 - -2. What is the nearest to -2\/9 in -2\/3, -5, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2136, -4, -5, -14, 2 in descending order.\nAnswer: 2, -4, -5, -14, -2136","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4580.2 + 4868.51. Let q = -281 + l. Let y = -0.69 - q. Which is the second biggest value? (a) 1 (b) y (c) 0.3 (d) 2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6 - 4. Suppose -8*i + 21 = 6 - 33. Solve -d - p*d = -i for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 27 - 2 - (77 + -40).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 1\/295, 0.039, 0.2 in ascending order.\nAnswer: 1\/295, 0.039, 0.2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -3 + 1 - 3 - 1\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the third derivative of r**10\/50400 + r**9\/5040 + r**8\/1344 + r**7\/840 - 2*r**5\/15 + 9*r**2. Let k(b) be the third derivative of z(b). Factor k(f).\nAnswer: 3*f*(f + 1)**2*(f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -3747741, -3747731, -3747721?\n\"Answer: 10*w - 3747751","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (r**2 - 4*r**2 + r**2)*(-5 + 5 - 2*r**2) + 0*r**4 - 3*r**4 - 7*r**2 + 6*r**2 in the form s*r + w + h*r**2 + v*r**3 + f*r**4 and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.092201189 - 0.0922. Round y to seven decimal places.\nAnswer: 0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*v - v + 3*v + (-2 + 2*v + 2)*(4 - 1 - 1))*(7*v + 0*v - 3*v + (v - 4*v + 2*v)*(-2 + 4 - 4)).\nAnswer: 36*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-6)\/(-10) + (-504)\/90. Sort -2, 5, h, 12 in descending order.\nAnswer: 12, 5, -2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q**4 - q**4 + q**4)*(167 + 123 - 177 - q).\nAnswer: -q**5 + 113*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/4 of a litre in millilitres?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = -17 + 80. Suppose -12 = -0*r - 4*r. Suppose r*x = c + 90. What is the tens digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(-48)*-4 - (-9)\/60.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*a - 10*a - 10*a - 357 + 355.\nAnswer: -6*a - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(-1)*((-78)\/180)\/13?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -3*a**2 - 7*a - 3. Let z be n(-6). Let i = z - -127. Suppose -2 + i = 14*q. Solve -5*b + 2 = 3*r - 7*r, 0 = -3*b + 5*r - q for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.21*172.9.\nAnswer: 36.309","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 155.4774 millilitres in litres?\nAnswer: 0.1554774","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 41096 to the power of 1\/3, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eeieemjecue. Give prob of picking 1 m, 1 j, and 1 e.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -241*h + 486*h = 266*h + 210 for h.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 5*m - 98763 - 309044 = 0, 3*o = m + 611730. Let h = o - 73911. Round h to the nearest one hundred thousand.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4302 and 99?\nAnswer: 47322","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 57 a factor of 2451?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -40432 != -40437?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 4*h + 84 = 0, 4*w = -0*h + 3*h + 84. Suppose 4*k - 3*j = w, 5*k = 2*j + 2*j + 27. Find the second derivative of -1 + 4*t**5 + 0 - k*t + 1 wrt t.\nAnswer: 80*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w**3 + w**2 + 8*w + 3. Let g be l(5). Let z = -56 - g. Let t = 10 + z. What is the greatest common divisor of 11 and t?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -175605 (b) 2 (c) 3\/7 (d) 7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -d83 (base 16) to base 5\nAnswer: -102314","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by -53.\nAnswer: 2\/53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3636?\nAnswer: 2, 3, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2178 and 3781250?\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 644571+-1.4158858\nAnswer: 644569.5841142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 38046951.4 rounded to the nearest 10000?\nAnswer: 38050000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1327325000 rounded to the nearest one million?\nAnswer: 1327000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i**3 + 6177060*i**2 + 3179820764556*i + 152617165084224 = 0. Calculate i.\nAnswer: -1029486, -48","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 154549244?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 83632, 83633, 83634, 83635, 83636?\nAnswer: 83637","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uuhhqhhhhhhhqhhquhqh. What is prob of sequence hhq?\nAnswer: 26\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 253988 < 253988?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 31687.86 years?\nAnswer: 380254.32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -341, -1355, -3045, -5411?\nAnswer: -8453","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the second derivative of -1\/6*z**4 + 0*z**3 + 0*z**2 + 0 - 1\/20*z**5 + 7*z. What is the third derivative of o(n) wrt n?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**8\/(f**(-2)\/f)*f**6*f**(-1\/2)*(f**0)**(2\/7)*(f**(-1\/2))**(-3\/19) assuming f is positive.\nAnswer: f**(315\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4374*i**2*k**3*m - 6*i**2*k**2 - i**2*m + 2*i*k**2*m**2 - 50*i*k**2 + 10*k**3*m**2 + 3*k**2*m**2 wrt k?\nAnswer: 26244*i**2*m + 60*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -932269274 by -2.\nAnswer: 466134637","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 86 by 1346922.\nAnswer: 43\/673461","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -58562842632 and 3.6?\nAnswer: 58562842635.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5 - -294266?\nAnswer: 294270","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(252) + -4 + -1 + 3 + 2*sqrt(448))**2.\nAnswer: -88*sqrt(7) + 3392","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6063, 14063, 22063, 30063?\nAnswer: 38063","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 times -0.049?\nAnswer: 0.196","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4.8 + -0.2. Let z = -37 - -39. Suppose 0 = -f + 3*n - 10, -f + n - 2 = z*n. Which is the closest to -0.3? (a) w (b) -3 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 3 + 3)*(85*d - 3561 + 3561).\nAnswer: 85*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sum -30.2 and 4296.668743.\nAnswer: 4266.468743","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.7073 - 0.4565. Round k to 2 dps.\nAnswer: -1.16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -2\/60385 and -61\/80.\nAnswer: 966160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 272822*d*w - 168500*d wrt w.\nAnswer: 272822*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -299*n + 36 = -303*n for n.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -10 (b) -0.1 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the second derivative of -1\/9*r**3 - 1\/36*r**4 + 23*r + 0 + 1\/2*r**2. Factor s(a).\nAnswer: -(a - 1)*(a + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2752, 2752, 2764, 2794, 2848, 2932?\nAnswer: 3052","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4 or -445\/92?\nAnswer: -445\/92","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -4 + (1 - (-6 + -1)). Suppose 5*w - 4*l - 32 = 0, -5*w + 8 = -3*l - 21. Solve d*h + w = 3*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*g**3*m**2*v + 3*g**3*m*v + g**2*v + 354*m**2*v + m*v wrt m?\nAnswer: 8*g**3*v + 708*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**(-1)\/j*j*j)**(-32)*(j**0)**(-3\/25)*(j**(1\/4)*j*j)**(-2\/63)\/(j**(2\/7)\/((j**(2\/5)\/j)\/j)) assuming j is positive.\nAnswer: j**(-2377\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p**(-11\/3))\/p)**35\/(p**45\/(p**(3\/7)*p)) assuming p is positive.\nAnswer: p**(-3610\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w**2 - 15*w + 16. Let q = -7 + 21. Let l be n(q). Suppose -2*r - z = r - 14, -4 = 2*r - l*z. Solve 0 = -3*f - 3*a - 12, -f - 7*a - 4 = -r*a for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = 2*t + 5*m - 2, m = -2*t + 4. Suppose -o + t*k = k - 5, -k = -2*o + 10. Suppose 0 = o*f - 75 - 50. Calculate the highest common divisor of f and 25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3*-1.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -19 + (3 + -9 - (1 + -8 + -5))\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (72\/15)\/2*-5. Let z be j\/(-1 + (-1)\/(-4)). Suppose 3*g - o - 43 - z = 0, -5*g = o - 93. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 x when two letters picked without replacement from {k: 4, x: 2, y: 4, w: 1, v: 3, j: 1}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -79*g**4 + 4039 - 4039 + (0 + 0 + g**2)*(g**2 - 4*g**2 + g**2).\nAnswer: -81*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 3*w**2 - 7*w + 7. Let n(h) = -h**2 + 3*h - 3. Let l be -1*4\/10*-35. Let i(s) = -16*s - 10. Let u be i(-1). What is l*n(d) + u*g(d)?\nAnswer: 4*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 12\/(-27)*1 - 0. Let t = 10424\/5 - 2093. Let r = t + 359\/45. What is the closest to r in 0.5, a, 0.4?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by 4\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a**2 + 101100848*a + 1277672683289888 = 0.\nAnswer: -25275212","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 21\/14*2\/(-1). Let q(w) = 2*w - 5. Let d be q(3). Sort d, -5, 2, m in decreasing order.\nAnswer: 2, d, m, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the second derivative of 3763*w**5\/20 + 2389*w**4\/12 - 3457*w. Find the third derivative of x(y) wrt y.\nAnswer: 22578","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s + 1. Suppose -28*l + 51 = -11*l. Let u(o) = 6*o + 5 - 3*o - 4*o + 2*o + l*o. Calculate -6*q(c) + u(c).\nAnswer: -2*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-264)\/(46 - 13)*(-6)\/(-1224).\nAnswer: -2\/51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 23332021?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 22574 - 22161. Is 414 >= c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*(1*sqrt(152) + sqrt(152)) - -5*1*sqrt(152))*-3)\/((-3*(sqrt(72) + (sqrt(72) - sqrt(72)*1)))\/(sqrt(9) + -3*sqrt(36))).\nAnswer: -85*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that -j**3 - 87*j**2 - 1440*j + 20736 = 0.\nAnswer: -48, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 739 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p**3 + 4*p**2 + 2. Let c be k(-4). Let s(m) = m**3 + 9*m**2 + 8. Let l be s(-9). Suppose 3*w = -w + l. Solve c*f = 4*o + 8, w*o + f + 3*f = -4 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + (2 + 1 - -14 - 6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -32\/15 + 4\/5. Which is the third smallest value? (a) -1\/7 (b) 0.1 (c) x (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -5, 3, 595, -130 in decreasing order.\nAnswer: 595, 3, 1, -5, -130","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the second derivative of 2\/15*u**6 - 1\/3*u**4 + 22\/3*u**3 + 3 + u - 11\/5*u**5 + 0*u**2. Solve r(a) = 0 for a.\nAnswer: -1, 0, 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 168582577 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(2\/13)*y)**(-4\/11)\/(y*y*y\/(y*(y*y\/(y\/y**(1\/9))*y*y*y)\/y)*y\/y**8) assuming y is positive.\nAnswer: y**(9899\/1287)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -71\/441 + -3\/49. Which is smaller: i or 0?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 5*y + 28 + 0 = 0, -2*y = l + 9. Suppose 5*b - 4 = 1. Let r be (b - 0)*(-4)\/(-10). Which is smaller: r or l?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2115)\/18*(-8)\/10. Let j = b - 93. Let n(u) = 10*u**3 + 3*u**3 - 2*u**3 - u. What is n(j)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 12*j**3 - j**3 - 929*j + 929*j.\nAnswer: 11*j**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 + 0 = 2*x - 5*m, 0 = 4*m - 20. Suppose u + x*h + 7 - 4 = 0, 17 = u - h. Calculate the smallest common multiple of 8 and u.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 231 and 5922.\nAnswer: 65142","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 + 0. Let g = u + 0.1. Let q = 31 - 31.5. What is the closest to g in 0.4, 0.3, q?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 2*f - 1. Let x(l) = -l**3 + 10*l**2 - 9*l + 3. Let d be x(9). Let g be o(d). Suppose -2 - 2 = t, -q + 5*t + 20 = 0. Solve b + q = -g for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -12\/18066413?\nAnswer: -12\/18066413","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3 + -4. Let r(s) = s**2 + 4*s - 2. Let u be r(-5). Let w(g) = 0 - g**u + 2*g**2 - 3*g**2 + g + 1. Give w(h).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 13) to base 12.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.245 or -5\/286306?\nAnswer: -5\/286306","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 275 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-24)\/4)\/3)\/(2\/(-4))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g**3 - 6*g**2 - 7*g + 7. Let j be z(-3). Let a(f) = -3*f**2 - 6*f**2 + 6*f**2 - j + 2*f**2. Calculate a(-2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -1565*n + 12. Let q(g) = -313*g + 2. Give -11*q(t) + 2*y(t).\nAnswer: 313*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n*(n**(-1\/5)*n)\/n*n**12)\/(n*n**(-3)*n**2) assuming n is positive.\nAnswer: n**(69\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j\/j**(-2\/5))\/j)\/j**(2\/19))\/(j**(-4))**(2\/113) assuming j is positive.\nAnswer: j**(3924\/10735)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2852 (b) 0.6 (c) -5 (d) 1\/12 (e) -0.5 (f) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f**3 + 3*f**2 - 4*f - 4. Let y be l(-3). Let i be y*5 - (2 - 2). Suppose -8 = b - 2*b - 2*z, 0 = 5*b - z - i. What is the units digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 578 minutes after 1:06 PM?\nAnswer: 10:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + ((2*(sqrt(400) + sqrt(400) + -1*sqrt(400) + sqrt(400)))\/(sqrt(40)\/sqrt(4)*-1 - sqrt(10)))\/((-2*sqrt(88))\/sqrt(11) + sqrt(1152)\/sqrt(4)))**2.\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*z + 57 = 9*z. Is z a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 38 - 36. Let y be (12\/(-15))\/(c\/(-10)). What is the derivative of -3 + 35*s**4 - 4*s - 25*s**4 + y*s wrt s?\nAnswer: 40*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 7068\/(-372) - -1*13. Let y(o) = 11*o - 22. Calculate y(x).\nAnswer: -88","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 33*d + 342. Let l be g(-8). Suppose -l*y - 6120 = -10*y. Round y to the nearest 100.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = i - 22 + 18 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*n + n + 0*n)*(22*n + 37*n - 9*n) to x + w*n**2 + k*n and give w.\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that -20\/3*b - 1\/3*b**2 - 100\/3 = 0.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that 3*a**2\/2 - 8549580*a + 12182553029400 = 0.\nAnswer: 2849860","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2 - -4. Let s(y) = -3*y - 1. Let p(c) = c. Let q(w) = 6*p(w) + s(w). Let n be q(u). Solve 18 = n*i - 7 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 183, 50, -86.7?\nAnswer: 50","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 6*m**3 + 4)*(47 - 5*m + 2*m - 162).\nAnswer: 18*m**4 + 690*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -23250*k**5 + 5*k + 16?\nAnswer: -465000*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 231?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1779579 greater than 1779690?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is e - -13384a?\nAnswer: 133859","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8393519*u**2 + 266 + 8393518*u**2 - 96.\nAnswer: -u**2 + 170","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 61004.\nAnswer: 2, 101, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 112, 115, 120, 127, 136?\n\"Answer: h**2 + 111","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 90 in 1\/4, -1\/4, -3, -4, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t - 6. Let b be l(-10). Suppose 42 = b*c - c. Is 8 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1220*j**3 + 8548*j**2 - 21904*j - 144.\nAnswer: 4*(j - 2)*(j + 9)*(305*j + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (122\/34465)\/(5\/(-25))\nAnswer: -2\/113","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 625 and 45.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**2\/10 - 31*g\/2.\nAnswer: g*(g - 155)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 3089 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 147*r - 57*r - 33*r**5 + r**3 + 115*r wrt r?\nAnswer: -660*r**3 + 6*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*f - 2*f**2 - 4*f + (1 - 1 + f)*(-4*f + 5*f + 0*f) + 0*f**2 - 3*f**2 + 0*f**2 - 88226*f + 44910*f + 3*f**2 + 44581*f - 1 + 2*f**2 - 2*f + 2*f.\nAnswer: f**2 + 1265*f - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s, 1 d, and 1 n when three letters picked without replacement from {f: 5, a: 2, d: 4, n: 2, s: 4}.\nAnswer: 4\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 176 minutes after 7:15 AM?\nAnswer: 10:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the third derivative of m**4\/24 + m**3 - 3*m**2. Let f be w(-4). Solve 0 = 2*l - f*h - 18, -4*l + 0*l - 4*h = 4 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 44*w**3 - 25*w**3 - 9*w**3 - 7*w**3.\nAnswer: 3*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45*u + 6 + 369 = 30*u. Let v(h) = 5*h + 48. Give v(u).\nAnswer: -77","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 1\/5 of a kilogram?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*y - 459 + 441 = 0 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f when two letters picked without replacement from wwufzuwwawfwffwauzz.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -27 - (-108)\/((-7020)\/(-1547)).\nAnswer: -16\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*m = 39*m - 169*m - 478*m + 52804 for m.\nAnswer: 86","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m + 2 = i, 2*i + 8 = 4*m + 6*i for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 288\/505, 0, 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -m - 3*m - m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 778493721.\nAnswer: 3, 259497907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -74*q**2 + 153*q**2 - 74*q**2.\nAnswer: 5*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 66971 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -4448, -4447, -4446, -4445, -4444?\n\"Answer: a - 4449","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*x - 78*x - 55*x.\nAnswer: -115*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-3)\/138)\/((-2)\/(-8)). Let d(s) = -s**2 - 2*s + 4. Let o be d(-3). Do o and k have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1324*z**2 - 1163*z**2 + 2206*z**2 + (-4 - 2*z + 4)*(1 - 1 + 2*z))*(-1 + 0 + 0).\nAnswer: 285*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of (-4*(-45)\/6)\/(-1 + 2) and 3.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 637440 and 1020.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4025 - 35149 - 7579 + 3*v.\nAnswer: 3*v - 46753","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 5\/4, -0.06, -0.04?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -10 + 15. Let l(j) = -3*j + 2 + 2*j + 1. Let b be l(q). Round b to the nearest integer.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 144684239?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 8021.964 millimeters?\nAnswer: 0.008021964","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d + 4 = 0, 2*o - d = -324 + 330 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve g - 48*s + 37 = -g - 45*s, 82*g = -s - 1393 for g.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1515631, 1515510, 1515389, 1515268, 1515147?\nAnswer: 1515026","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/13 or 0.02?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 22*n**5 + 249*n**2?\nAnswer: 1320*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - (74 - 84 - -18)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 27078 and 9026?\nAnswer: 27078","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-6)\/(-15))\/(1\/10). What is the first derivative of -2*v**j + 1 - 1 - 2 + v**4 wrt v?\nAnswer: -4*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -88? (a) 3 (b) 8 (c) 1188.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 11841, 11837, 11831, 11823, 11813, 11801, 11787?\n\"Answer: -c**2 - c + 11843","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -12*u**2. Let p(o) = 19471*o. Determine h(p(b)).\nAnswer: -4549438092*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-330)\/(-550))\/(63\/(-10))?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 21263?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4 + 1 + -1 + -12. Let s(z) = -8*z - 66. Let a be s(q). Let b = 2 + -2. What is the nearest to -2 in a, 4, b?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m = 5*f - 15, 0 = -4*f + 15*m - 13*m + 10 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 5, 135 in decreasing order.\nAnswer: 135, 5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 203 minutes before 1:18 AM?\nAnswer: 9:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0076707128 rounded to 6 dps?\nAnswer: -0.007671","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*t + 3*t - 16 = 0. Let s = -5.07 - -0.07. Let c = s + 6. Put t, c, 0 in descending order.\nAnswer: c, 0, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -21 + 13 + 93 + -104?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvvpxfqpefppxfxqx. Give prob of picking 1 q, 1 f, and 2 p.\nAnswer: 9\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -t**2 + 21*t + 96. Calculate the remainder when 932 is divided by p(24).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 145932, 146048, 146162, 146274, 146384, 146492?\nAnswer: 146598","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7780383 by 4.\nAnswer: -7780383\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (371979\/1198)\/((-81)\/(-24)).\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1 and -0.161759806756.\nAnswer: -1.161759806756","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 18*j - 12*j - 54. Let h be (6\/j)\/2 + 132. Let u = h - 134. Which is the closest to -0.2? (a) u (b) 1 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.6 (b) 4\/3 (c) -4 (d) 0.07 (e) -2.9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7863, 15681, 23503, 31329, 39159, 46993, 54831?\nAnswer: 62673","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/20 of a litre?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7295 - -7412.25. Round m to the nearest ten.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -16867*s**3 + 3*s - 72 wrt s.\nAnswer: -101202*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7368 - -13514. Calculate the remainder when m is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the third derivative of b**8\/7560 - b**7\/3780 - b**6\/810 - b**3\/2 + 2*b**2. Let u(w) be the first derivative of t(w). Factor u(v).\nAnswer: 2*v**2*(v - 2)*(v + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 16 and (-1 + -8 + (-1953)\/(-45))\/((-6)\/(-30))?\nAnswer: 688","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 158*g = 156*g - 5*r + 29, -70*g + 69*g = 3*r - 18 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 3 (b) -43\/27 (c) 3\/7 (d) 666\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 298 - 186. Calculate the greatest common factor of 70 and v.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6 - 0. Solve a*c - 2*c = 20 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6255 <= 5841?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d**2 + 5*d - 10. Let q(c) = -2*c + c + 5*c - 2*c + 15. Let u be q(-11). Let x be p(u). Solve -x*s + 20 = s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -67\/82 and 53\/12?\nAnswer: 492","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 224 + -222. Let m(j) = -38*j + 3. Let g be m(-5). Suppose -g + n = -q. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*y = 67*y + 533 for y.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3326673?\nAnswer: 3, 7, 157, 1009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 6504.40074 rounded to the nearest one thousand?\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 33259?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 2469 to the power of 1\/2, to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*d + 5*q - 150 + 163, 0 = 5*d + 4*q - 16 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0*((-10)\/(-4))\/5 + -3. Let i(m) = -m**3 - m**2 + 5*m + 6. Let c be i(b). Find the common denominator of (7\/98)\/(c\/(-456)*-2) and -121\/6.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-1)\/(-18) - (-139450)\/900 is divided by 60.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:57 PM and 3:21 PM?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -61734 = -151*r - 74569 for r.\nAnswer: -85","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that -3*u**5\/4 + 447*u**4\/4 - 4041*u**3 - 55863*u**2 + 3766176*u - 7278336 = 0.\nAnswer: -27, 2, 48, 78","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -12552200 rounded to the nearest one million?\nAnswer: -13000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*z - 3*z - 6. Suppose -2*y + 20 = z*y. Let g be (-84)\/12*(-2 + (4 - 3)). Sort g, -5, -3, y.\nAnswer: -5, -3, y, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 44 - 51. What is the hundreds digit of s\/(-14) - 14\/(-4)*71?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.048 + 0.668. Let u = 33.62 - l. Let x = -32.9999898 + u. Round x to 6 decimal places.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((v**(-8)\/v)\/v)\/v)\/v)**(3\/19) assuming v is positive.\nAnswer: v**(-36\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*n**3 + 30414*n**2 + 79834944*n + 13816401408 = 0. Calculate n.\nAnswer: -4976, -186","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 92 + -205. Let p = -111 - q. Solve 4*z + 25 = 5*v - 10, z + 11 = p*v for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 644 = 5*v - v. Let g = -94 + v. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 2*m - 7. Let z be q(-5). Let f be 3\/z*2\/(-3). Sort 2\/7, f, 2.\nAnswer: f, 2\/7, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 1 - 1)*(2*i - 2*i + 2*i**2).\nAnswer: 6*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 145 = -q - x, 2*q - 3*x - 283 = 0. Calculate the highest common divisor of q and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -6.48 and 277?\nAnswer: -1794.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 6 and 209287?\nAnswer: 1255722","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(44) - 3*(-1 + sqrt(44))) + 2 - (-1*(sqrt(110) - (sqrt(110)*-1 - sqrt(110))) + sqrt(110) - sqrt(110))\/(-3*sqrt(10)*2)) + -2.\nAnswer: -9*sqrt(11)\/2 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -10 - -12. What is the second derivative of -u + 1 - 2 - 50*u**2 + 21*u**k - 18*u**2 wrt u?\nAnswer: -94","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1\/4 - (-7)\/(-28). Suppose -5*a + 5*m - m + 7 = v, 6 = 3*m. Suppose a*o - 75 = -2*o. What are the prime factors of o?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 0.02, 25, 8\/69, 0.4, 0.04, -0.5?\nAnswer: 25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 111 at least as big as 39277?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 91 and 52.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 19\/125467 at least as big as 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from clabmllmmllmlbmmcc. Give prob of picking 1 b and 1 m.\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4629?\nAnswer: 3, 1543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -7.1 and 0.4.\nAnswer: -2.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 184\/23 - 222\/27. Sort 5\/3, 5, -15, y in decreasing order.\nAnswer: 5, 5\/3, y, -15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 170532.4t?\nAnswer: 170532400000000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6888082727 - -0.3.\nAnswer: -6888082726.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of (-65)\/(-39)*450 + -6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 2*l**2 - 2083449*l - 10417291. Determine t(-5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -75*i**2 + 187*i**2 + 96*i**2 in the form c*i**2 + h*i + z and give c.\nAnswer: 208","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 45.20738t in milligrams?\nAnswer: 45207380000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:03 PM and 12:47 AM?\nAnswer: 704","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -92*a**2 + 2*a - 3. Let t be (-32)\/(-14) + (-16)\/56. Let f be w(t). Let z = f - -3681\/10. What is the common denominator of z and 87\/16?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15, -2\/37, 1, 0 in ascending order.\nAnswer: -2\/37, 0, 1, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 96*r - 3530. Let d be s(37). Solve 18*w = d*w + 4*i, 0 = 4*w + i - 3 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + 1 - (-3 - -14 - 5)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 234 + -344. Let t be (d\/(-8))\/((-2)\/(-8)). Suppose -q - 5*s + 43 = -17, 0 = -2*q + 3*s + t. Calculate the remainder when q is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*6*((2*sqrt(1872))**2 - sqrt(1872) - sqrt(1872))*6.\nAnswer: -3456*sqrt(13) + 1078272","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(3\/7))**(2\/13)*(u\/(u**(-1\/2)\/u))**(-8))**31 assuming u is positive.\nAnswer: u**(-56234\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let 5\/7 - 4\/7*x - 1\/7*x**2 = 0. What is x?\nAnswer: -5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 16, -1, 4, 752 in descending order.\nAnswer: 752, 16, 4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o - 24*b - 194 = -18, 0*b = -4*o + b - 151 for o.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -9, 6\/5, 234, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(68) + (sqrt(68) - (sqrt(68) + sqrt(68) + (sqrt(68) - sqrt(68)*-1))) + sqrt(68) + sqrt(68))\/sqrt(4).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 4*x + 10. Let p(d) = -6*d**4 + 2*d**3 + 4*d. Let w(r) = -r**4 - r**3 + r. Let k(j) = x*w(j) - p(j). Find the second derivative of k(a) wrt a.\nAnswer: 96*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) 1\/5 (b) -17616 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -35 - (-7 + 7 - -2 - 6) - -10?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 598046402, 598046400, 598046398, 598046396, 598046394?\nAnswer: 598046392","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w**3 + 4*w**2 - 4*w + 2. Let h be k(2). Let y = h + -12. Calculate the least common multiple of 4 and y.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -581.59 rounded to the nearest 10?\nAnswer: -580","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.04693 + 0.19307. Which is the third biggest value? (a) -0.3 (b) 2\/7 (c) h (d) -0.5 (e) -1\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 2*v - 21. Suppose 19*l - 10 = 161. What is q(l)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 416 and 10712?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1766 + -156. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 106883?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 387\/5 or 78?\nAnswer: 387\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 279 minutes after 1:22 PM?\nAnswer: 6:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-25)\/3)\/(7\/(-21)). Let w = r + -1. What is the remainder when w is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 60, 59, 60, 63, 68?\nAnswer: 75","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the third derivative of -a**6\/280 - 3*a**5\/28 + 25*a**4\/14 + 2*a**2 + 27*a - 20. Factor w(j).\nAnswer: -3*j*(j - 5)*(j + 20)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i**3 + 4*i**2 - 2*i - 3. Let q be k(-3). Suppose -2*h + 4*h + q = 0. Let j be 2\/4 + (-2)\/(-4). Which is bigger: h or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 14 = -2*d - 5*q, 12 = 3*d - 5*q. Which is smaller: 705 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 90717.\nAnswer: 3, 11, 2749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/(-10))\/(80\/(-100))*(0 + -10)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 2, v: 9, x: 6}. Give prob of sequence xvx.\nAnswer: 9\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 6, n: 2}. Give prob of sequence nyn.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 250 minutes before 9:14 AM?\nAnswer: 5:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -27410, -57379, -87342, -117293, -147226, -177135?\n\"Answer: d**3 - 3*d**2 - 29967*d + 2559","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express u**2 + 45268*u - 1 + 4*u**4 + 4*u**4 + u**2 - 45267*u in the form x*u**4 + z + j*u + m*u**2 + s*u**3 and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 15 (b) 1\/3 (c) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 2*m + 2. Let n(v) = 16*v - 33. Give n(g) - 6*p(g).\nAnswer: 4*g - 45","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 7\/6 (b) -1\/320 (c) 35573\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 399187080 divided by -39090.\nAnswer: -10212","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1 (b) -0.19 (c) -0.251 (d) 6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 97663065 minus -3?\nAnswer: 97663068","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-66)\/1320)\/(8\/(-1120))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 8 + 0*w**2 + 2\/3*w**3 - 26\/3*w = 0. Calculate w.\nAnswer: -4, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 33 = -2. Differentiate 17 - r*y + 15*y - 35*y wrt y.\nAnswer: -27","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by -206.\nAnswer: -3\/206","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5047 and 834106?\nAnswer: 601390426","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-69)\/(-21) + 4\/(-14). Suppose u*k + 3*y = 18, -2*k - 3*y + 24 = 2*y. Suppose -5*q = -8 - k. Put -5, q, -4 in increasing order.\nAnswer: -5, -4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d*d*d**(-1\/6))**(2\/5) assuming d is positive.\nAnswer: d**(17\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -3db1 (base 16) to base 5\nAnswer: -1001133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 124\/93*6\/(-8)*(-4)\/10. What is the closest to -0.1 in -0.5, -92, q?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.138 in 0.4, -3, -0.1, -1281?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 20726 and 258.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -200*d**2*h + 4*d**2 + 396*d*h**2 - 558*d - 226 with respect to h.\nAnswer: -200*d**2 + 792*d*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5 - -42535714?\nAnswer: 42535721","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.5 or 1263.93?\nAnswer: 1263.93","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2995\/1410 + 204\/4794.\nAnswer: 13\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -3*m - 6. Let l be (0\/7)\/(-3 - m). Solve l*y + 4*y = -8 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v**3 + v**2 + v + 1. Let m be 26\/((-832)\/56) - (-1)\/(-4). Let q(i) = 5*i**3 - 2*i**2 - 3*i - 2. What is m*a(w) - q(w)?\nAnswer: -3*w**3 + w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(128) + (((sqrt(128) - (sqrt(128) + 2 + sqrt(128))) + sqrt(128))**2 - sqrt(128))).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 8\/(-52) + (-112)\/(-52). Solve -5*o - y - 23 = 0, o + 4*o - v*y = -14 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b - 15 = 0, 1 = -2*k - 53*b + 54*b for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 202 and 1010.\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 12757572?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.27224 + -6.27224. Let b = -5 - -3. Let l = 1.9 + b. What is the smallest value in l, -1\/8, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3645.3 + 180.729732.\nAnswer: 3826.029732","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2296642 = -6*p + 2657480. Let q = p - 1486687. What is q rounded to the nearest 10000?\nAnswer: -660000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -633 + 630. Let d = -13 + 25\/2. What is the second biggest value in d, y, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the first derivative of 11*o**8\/840 + 8*o**7\/175 + o**6\/20 + o**5\/75 + 9*o**2\/2 + 10. Let u(q) be the second derivative of w(q). Factor u(x).\nAnswer: 2*x**2*(x + 1)**2*(11*x + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 22*c**3*v**2 - 25*c**3*v + c**2*v**2 - c**2*v - 7*v**2 wrt c?\nAnswer: 132*v**2 - 150*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is d in d**3 + 2464*d**2 + 22095*d = 0?\nAnswer: -2455, -9, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the second derivative of -5\/2*p**2 + 0 - 4\/3*p**3 + 9*p. Differentiate i(m) wrt m.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 n when two letters picked without replacement from xnnnxxt.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 44.76947 centuries to months.\nAnswer: 53723.364","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10973 is divided by 177.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (16\/3)\/(((-2)\/(-4))\/((-102)\/68))?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -11*j**2. Let b(s) = -3*s - 20. Let z(w) = w + 2. Let o(r) = -b(r) + 3*z(r). Let u(x) = -3*x - 12. Let p(f) = -6*o(f) - 13*u(f). What is l(p(y))?\nAnswer: -99*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-336)\/756)\/((-4)\/18).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the second derivative of 61*d**4\/12 + 97*d**3\/3 + 3*d + 11. Find the second derivative of t(p) wrt p.\nAnswer: 122","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 22*g + 148. Let o be h(9). Suppose -4*m + 414 = o. Solve -15 - m = 8*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 4*c. Let t(h) = -4665 + 4665 + 10*h. Calculate j(t(f)).\nAnswer: 40*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -169 + 272. Let r = 121 - g. Put 4, r, -5 in ascending order.\nAnswer: -5, 4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t**2 - 17*t + 4. Let z be b(-18). Let h = -16 - z. Let g(d) be the first derivative of 2*d**3\/3 + d**2 + d + 4. Give g(h).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12720)\/636 + 1158\/58?\nAnswer: -1\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 33112345?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3201 and -574.\nAnswer: -1837374","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -45 + 5. Let v = 45 + h. Solve 3*f + v*a = 10, -1 - 7 = -f - 4*a for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h\/((h*h**1*h)\/h))\/h*h)\/h)**(-34)\/((h\/h**(-4))\/h**6) assuming h is positive.\nAnswer: h**69","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + -2 + 4 + -2 + -7.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 6 (base 8) to base 13\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 8) to base 16.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -273.254 + 273. Let f = q - 0.121. What is f rounded to 1 decimal place?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 359*f**4 - 2*f + 332 - 505*f**4 - 1302*f**4 wrt f.\nAnswer: -17376*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6952*m + 6953*m - 9 + 49.\nAnswer: m + 40","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-8)*m)\/(m\/((m\/(m**(3\/8)*m))\/m)*m))**(6\/17)\/((m**(-2\/5)\/m)**(-2\/15))**(-12) assuming m is positive.\nAnswer: m**(-2417\/1700)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8317910?\nAnswer: 2, 5, 79, 10529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -20482081.8251 - -20481003. Let q = s - -1079.435099625. Let z = q + -0.61. Round z to 7 decimal places.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 3 + ((-44)\/66)\/(2\/21)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*c**2 - 2368864*c - 350719790656.\nAnswer: -4*(c + 296108)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((sqrt(2156) - -5*3*sqrt(2156) - sqrt(2156))\/((sqrt(48)\/sqrt(3) - sqrt(16)) + sqrt(16) + (sqrt(20)\/sqrt(5) + sqrt(4))*-3))**2.\nAnswer: 121307\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4538, -6108, -7678?\nAnswer: -9248","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 2*l**2. Let f(a) = -18*a**2 - a + 396. Determine f(s(w)).\nAnswer: -72*w**4 - 2*w**2 + 396","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -14.94225068 rounded to 1 decimal place?\nAnswer: -14.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -0.22, 4, 2\/7, 5\/4?\nAnswer: -0.22","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in -92\/9, 1\/4, 4\/5, 2, -62\/57?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.0060542 - -0.5060542. Let r = -0.04 + -0.86. Which is the third smallest value? (a) 1 (b) 1\/4 (c) s (d) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vvvh when four letters picked without replacement from hvvhvvvvv?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 - 8*n + 3 + (2 + 0 - 3)*(-n + 2*n + 0*n) + 10*n + 10*n + 80*n as d*n + b and give d.\nAnswer: 91","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3245032 is divided by 263.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g**(-2))**(6\/13))**(11\/7))**(-23) assuming g is positive.\nAnswer: g**(3036\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 0*m - 3*m - 12 + 28 - 30. Suppose i = -4*i - 30. Let s be u(i). Solve -4*g - 24 = -s*x, -2*x + g + 14 = 3*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1002 = -50*h - 284*h. Let v(u) = 5*u + 11. Let p(m) = -4 + 2 - 4*m - 8. Calculate h*v(o) - 4*p(o).\nAnswer: o + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -9 - -15. Suppose -2*w - 2*w = 0. Let u = 0 + w. Solve z = -4*n - b + 1, u = 2*n - z - 5 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -3*z**2 + 8*z + 8. Let k be (170\/(-51))\/(1\/(63\/(-6))). Suppose 8*s = -k - 13. Let j(x) = x**2 - 3*x - 3. Give s*o(g) - 17*j(g).\nAnswer: g**2 + 3*g + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4\/7*r**4 + 12\/7*r**5 - 4\/7 - 24\/7*r**3 + 8\/7*r**2 + 12\/7*r = 0. What is r?\nAnswer: -1, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.2 - 1.2. Let v be 1 + (-536)\/6 - (-445)\/(-267). Which is the third biggest value? (a) n (b) -2\/13 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2.57 + 2.43. Let g = -64.3 + 64. Which is the third smallest value? (a) g (b) -26\/7 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-3)\/2)\/((-6)\/(-32)). Let w = 14 - k. Suppose -2*i - 4*b = -300, 481*i - 3*b = 483*i - 302. Calculate the highest common divisor of w and i.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let w = -11 + 25. Suppose 5*v = 5, -l = -3*v - w - 4. Does 9 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 5\/349 (b) -0.24 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is (156590 - 0) + (9 - 0 - 4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.649 + -0.949. Put d, 2\/3, 35.4 in ascending order.\nAnswer: d, 2\/3, 35.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1735 (b) -5 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-111)\/444 - (87\/(-12) + 5). Factor 5*k**4 + 5*k - 10\/3*k**u - 10\/3*k**3 - 5\/3*k**5 - 5\/3.\nAnswer: -5*(k - 1)**4*(k + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -606*m = -198*m + 920*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*s = -7*s - 6. Does 6 divide (1*38)\/(4 - s)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1c + -7bc9?\nAnswer: -7baa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -11*f**2 + 23*f - 9. Let v(d) = -5*d**2 + 11*d - 5. Let u(h) = -3*m(h) + 7*v(h). Let u(o) = 0. What is o?\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 > -2\/2341?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iuuuuoiiuz. Give prob of picking 1 u, 2 i, and 1 o.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22358.\nAnswer: 2, 7, 1597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-36)\/(-180))\/(-2 + (-15)\/(-6)). Let t = 8 - 3. Let k = 178\/3 + -60. Which is the third biggest value? (a) i (b) t (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l + 2*u - 27 = -7, 2*l + 3*u = 23 for l.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = 5*z + 21, 4*d + 0*d = -z + 3. Suppose 4*s - 20 = 2*f - 0*f, 4*s = -2*f + 12. Sort 1, z, f in descending order.\nAnswer: 1, f, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (1 + sqrt(176))*5 + (sqrt(176) + -1 + -2 + sqrt(176) + sqrt(176) - (1*sqrt(176) + sqrt(176) + -1 + sqrt(176))))**2.\nAnswer: -40*sqrt(11) + 4401","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 + -13 - -2) + 5 - 0?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -6531, -13072, -19607, -26130, -32635, -39116, -45567, -51982?\n\"Answer: d**3 - 3*d**2 - 6539*d + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 18506510 a multiple of 830?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**5\/3 - 427196*z**4\/3 + 45623678405*z**3\/3 + 91249065602*z**2\/3.\nAnswer: z**2*(z - 213599)**2*(z + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c when two letters picked without replacement from {e: 11, z: 2, c: 2}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 655 (b) -2\/5 (c) -3941\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 17612 (base 13) to base 4\nAnswer: 22332221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1\/57 - -61\/228. Let o = 0.50348 + -0.44348. Let w(x) = -x**2 + 5*x - 3. Let g be w(4). Which is the closest to r? (a) g (b) -1 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6\/(-5)*2655\/(-3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -31884, -255150, -861166, -2041308, -3986952?\n\"Answer: -31896*l**3 + l**2 + 3*l + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 less than 765344035?\nAnswer: 765344044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.05494 (b) 0.2 (c) 0.3 (d) -0.1 (e) -1603\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 31 (base 4) to base 10\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3032481.\nAnswer: 3, 23, 71, 619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4353509?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 151 - -1. What is the tens digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m + 5*m = -p - 32, 3*m - 25*p = 9*p - 4*p + 34*p - 24 for m.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10105 (base 7) to base 12.\nAnswer: 1507","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -20244345022 - -5?\nAnswer: -20244345013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put together -9065996483 and 0.\nAnswer: -9065996483","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -u - 406 + 402 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Total of -14 and -40749700209.\nAnswer: -40749700223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -2*p. Suppose 2*z - 30 = 5*z. Let r = -2 + 4. Calculate the least common multiple of r and v(z).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.038 + 0.238. Suppose -4*k = -3*k. What is the third smallest value in -9\/2, k, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 18 - 21 = 3*u, 5*u = -2*f - 3. Let m = 62 - 40. What is the lowest common multiple of m and f?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rnnwnnwnnrwwrnwrnr. What is prob of picking 2 w and 2 n?\nAnswer: 14\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -180 + 183. Is (2 + -9 + f)*(-15628)\/16 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:13 AM and 9:55 AM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -8*s**4 + 80*s**3 - 1098*s**2 wrt s.\nAnswer: -192*s + 480","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the third derivative of 535*f**4\/24 - f**3\/3 + 136*f**2. Let b(v) = -v**2. Calculate u(b(p)).\nAnswer: -535*p**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d. Let g be f(5). Suppose 0*k + 10 + 22 = -8*k. Put -6, g, k in descending order.\nAnswer: k, g, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*f + 27 = 114 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -h**2 - h**2 - 2*h**3 - 3*h**2 as i*h**2 + v*h**3 + p*h + s and give i.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1227*a**3*h**3 + 3*a**3*h - 26*a**2*h**3*i - 4*a**2*h**2*i - 2*a*h**2 + 74*i wrt h.\nAnswer: 7362*a**3 - 156*a**2*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -216416 - -21?\nAnswer: -216375","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m**3 + 79*m**2 - 108*m - 158. Is 6 a factor of l(-80)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5\/3 in -0.1, 5, 1\/8, 4?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in three fifths of a kilometer?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (8 + 11 + 7)*(-16*c - 19*c + 17*c)*(2 + 1 - 1) as g*c + k and give g.\nAnswer: -936","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the first derivative of 5*t**3\/3 + 45*t**2\/2 - 560*t - 2448. Suppose z(s) = 0. What is s?\nAnswer: -16, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 274331 to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -691, -895, -1293, -1885, -2671, -3651, -4825?\n\"Answer: -97*g**2 + 87*g - 681","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 685703980 divided by 4.\nAnswer: 171425995","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3162?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1574 to the power of 1\/2, to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2170604.\nAnswer: 2, 79, 6869","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -4673, -4805, -5031, -5351, -5765, -6273, -6875?\n\"Answer: -47*w**2 + 9*w - 4635","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 238 a factor of 186001998?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2 + -2. Suppose u = -5*h + 328 + 262. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 3*k = t - 1373, 5*t - 1702 = -k. What is the third derivative of -t*a**6 + 337*a**6 + 4*a**2 - 2*a**2 wrt a?\nAnswer: -480*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 17*b + 407. Calculate n(-24).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 167*y = 158*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three fifths of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 851.56 + -331?\nAnswer: 520.56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + (5 - 4) - -4 - 3?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 97220?\nAnswer: 2, 5, 4861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22226567.\nAnswer: 11, 2020597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*2*3*sqrt(175)*-2 + -3*(4 + (sqrt(175) - -2*sqrt(175)) + sqrt(175)*-1 + -4))**2.\nAnswer: 308700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 68 and 3485.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t**3 + 6*t**2 + 4*t - 4. Let g(h) = 0 - 6*h**3 + h + h - 1. Let o be (1 + -3)*7\/(-14). Let a be g(o). Give m(a).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 7 + 10)*(2*h - 266 - 4*h + 244) + (-5 + 0 + 4)*(-3*h + 2*h + 2*h) to r*h + a and give a.\nAnswer: -286","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-1\/7))**(-2\/13)*p**10*p*p*p**(-1\/5) assuming p is positive.\nAnswer: p**(5379\/455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 672 a factor of 5396160?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 164552, 329107, 493662, 658217, 822772?\nAnswer: 987327","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 5*y - 224 = 0, 0*o + 4*o - 3*y - 474 = 0. Suppose 4*r - z + 3*z - 98 = 0, -35 = -r + 3*z. Calculate the greatest common divisor of r and o.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 855*d**2 + 6 - 858*d**2 - 4.\nAnswer: -3*d**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-13\/5)*l**1)\/(l**(3\/7)\/l**(-5\/4)))**29 assuming l is positive.\nAnswer: l**(-13311\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z - 19. Let d be u(-9). Let a be 0 + 4\/14 - (-1576)\/d. Round a to the nearest 10.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*a + 4*a + a + 3*a.\nAnswer: 3*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the second derivative of 2*z**3\/3 - 3*z**2\/2 + 12*z. Let s be t(1). What is the biggest value in s, 2\/11, -0.2, -0.1?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 162? (a) -2 (b) 0.2 (c) -0.3 (d) -21.4 (e) 2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -7*z**2. Let x(i) be the first derivative of 2*i**3 + 26. Calculate x(r(y)).\nAnswer: 294*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m**2 + 0*m**2 + 4 + 0*m - m - m = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 228*t - 6994 + 6994 to a*t + o and give a.\nAnswer: 228","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: a (base 12) to base 11\nAnswer: a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-7450)\/(-5215)*(-28)\/(-10). Solve -3*m - 2*r - 5 = 2*r, 40 = 4*m - p*r for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 114779520 a multiple of 480?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 1398483047+1\nAnswer: 1398483048","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = -5*a + 15, 2*k - 5*a + a = 14. Suppose -c = -3*c - k*y + 95, -3*c + 126 = 2*y. Round c to the nearest one hundred.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n\/((n**8\/n*n)\/n)*n)\/(n**(4\/13)*n))**(-32)*((n**(-2\/11)*n)\/n**(-2\/5))\/(n**(-3)\/n**(1\/5)) assuming n is positive.\nAnswer: n**(124599\/715)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 127078220 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 1, -28000412, 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ee when two letters picked without replacement from xxveve.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*y - 14*y + 4 = 0. Solve 4*c - 3*x + 27 = y*x, -4*x = 2*c - 6 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -h**3 - 8*h**2 - 10*h - 10. Let p be q(-7). Suppose 5*m + p = -4. Put -2, 0, m in ascending order.\nAnswer: m, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*r + 81 = -35*r + 12*r for r.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -10 + 10. Let y be -3 + 0\/(-2 - i). Calculate the remainder when (y + 1 + 100)\/1 is divided by 25.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 47 + -28.9. Let u = -18 + n. Let m = u - 4.1. Sort 2, m, -0.1.\nAnswer: m, -0.1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5193034 < 5193025?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) 0.8 (b) 2 (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.31 * -26295.\nAnswer: 8151.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 69.2881 nanoseconds?\nAnswer: 0.0692881","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 2200 = 3*g + 622, -5*d - 2635 = -5*g. Let r = -179 + g. Is r a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -111, -210, -377, -612, -915, -1286, -1725?\n\"Answer: -34*u**2 + 3*u - 80","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -557, -1127, -1685, -2225, -2741?\nAnswer: -3227","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 4*d**2 + 3*d - 10. What is the units digit of x(4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 187 - 293. Let z = v + 528\/5. Let o = -41 - -31. Which is the biggest value? (a) 0.1 (b) z (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -988 divided by -2.\nAnswer: 494","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 363 is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 5*q + 50 = 0, -r + q + 22 = 2*r. Let k be (-3 - 3)\/((-3)\/r). Solve k - 4 = -2*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 101110001011 (base 2) to base 7.\nAnswer: 11421","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(315) - sqrt(35))\/sqrt(5).\nAnswer: 5*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 3*i**3 + 5*i**2 + 4. Let c be f(-2). Let v be 0\/2*(-3 + 2). Solve v*q + 3*q + 6 = c for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6005678?\nAnswer: 2, 7, 428977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 30 and 27400755?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 30314 and 46.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 3 l when four letters picked without replacement from mmuylyullmfllutful?\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the second derivative of s**4\/12 - s**3\/3 + 7*s**2\/2 + 4*s. Let n be z(-7). What is n rounded to the nearest 10?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 32\/237 and 5\/48?\nAnswer: 3792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.5, 1, 2208, 0.05, -5, -31?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1680 - 13*g**2 - 17*g + 4*g - 568.\nAnswer: -13*g**2 - 13*g - 2248","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 24022 = 5*f - 65603, -5*i - f = -224143. What are the prime factors of i?\nAnswer: 2, 5, 4483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, -1, 2\/3, -3\/11 in increasing order.\nAnswer: -12, -1, -3\/11, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 20 = d, 2*d - f - 32 - 17 = 0. Differentiate -62 + 12*l + d + 13 with respect to l.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-207)\/(-27) - (-6)\/18 - -18181992. What is f rounded to the nearest one hundred thousand?\nAnswer: 18200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10541100 (base 6) to base 16\nAnswer: 4f29c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 3490 divide 594877480?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/1132860 and -93\/302096.\nAnswer: 4531440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -382*y - 3426. Let b be g(-9). Solve 14*l + 33 = -5*i + 13*l, 3*i = 2*l - b for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.8 - 0. Let t = -0.3 + n. Let w = 947\/15 + -63. Sort w, t, -4.\nAnswer: -4, w, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 146 + -145. Let x(q) = -28*q**3 + 2*q**2 - 2*q + 1. What is x(y)?\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -52122.576 rounded to the nearest one hundred?\nAnswer: -52100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4726 + 12*14\/(-21) + 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l = 3*r + 5, 103*r + 30 = -2*l + 107*r for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -131\/61402940 and -57\/78182?\nAnswer: 798238220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2571 and 2.\nAnswer: 5142","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6560\/22813 - -6\/3259. Which is the fifth biggest value? (a) 1\/3 (b) -1 (c) -0.0912 (d) h (e) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4 (b) 2\/5675 (c) -410 (d) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the first derivative of -2*u**3 + 49*u**2\/2 - 10661. Let f(w) = -2*w. Let l(a) = -2*a. Let c(t) = -4*f(t) + 3*l(t). What is y(c(r))?\nAnswer: -24*r**2 + 98*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -5*z**2 - 2 + 223*z + 1 - 229*z + 2. Let n(w) = -4*w**2 - 5*w. What is -3*n(c) + 2*s(c)?\nAnswer: 2*c**2 + 3*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(931) + 0 + 5.\nAnswer: 5 + 7*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 501*b**2 - 113*b**2 - 857*b**2 + 505*b**2.\nAnswer: 36*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*p - 64 = -24 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -159*t - 2. Suppose 0 = 4*y + 8. Let d be a(y). Suppose z = -3*z + d. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1285495 to the nearest integer?\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 10*t + 20. Let n be i(-3). Let z be 6\/(-10) + (-1016)\/n. Suppose 3*d - 181 = z. What is the tens digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*q**2 - 286*q + 260*q - 3*q**2)*(-2 + 0 + 4).\nAnswer: 6*q**2 - 52*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.046 - -23.046. Let b = i + -23.2. Let n = 0.2 - 0.2. Put -0.12, b, n in increasing order.\nAnswer: b, -0.12, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 39\/(-26)*4\/(-3) + 10. Suppose -c = -5*i + 63. Calculate the remainder when 74 is divided by i.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the second derivative of -5*s**3\/6 - 13*s**2\/2 + 28*s. What is the remainder when r(-7) is divided by 14?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 155 a factor of 737832088?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19059773262 + 913.\nAnswer: -19059772349","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1 - 611?\nAnswer: -612","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1180)\/(-1888)*(-232)\/(-5).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*v**3 - 2*v**3 - 7*v**3 + 237*v**2.\nAnswer: -2*v**3 + 237*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 275 a factor of 851125?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0 + (-2)\/(-4)*2. Suppose 4*q - p = v, v + 30 = -5*q - 4*v. Let d = 6 + q. Solve 3 = c - 4*b + 8, d*b - 10 = 0 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00633162945 to 3 decimal places.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4 (b) 0.9 (c) -0.5 (d) -2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 24 + -29. Suppose 3*c - 398 = -2*p - 1297, -4*p = -4*c - 1192. Let b = c + 1789\/6. Sort b, s, -0.4.\nAnswer: s, b, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1020 + -2010231?\nAnswer: -2011311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -23, 1, -133, -28 in ascending order.\nAnswer: -133, -28, -23, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 27589 + (1 - 4) + 72\/8 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -3*z. Let n(h) = h**2 - 7*h. What is 6*n(w) - 14*u(w)?\nAnswer: 6*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 200 divided by 5\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-j - 1 + 1)*(-15 + 3 + 31)*(3 - 3 + 4*j) to the form r*j**2 + m*j + g and give r.\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5 and 10640?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 5*i = -7, -3*l + 2*i - 7*i = -4. Let k be 2 + 3 + (1 - l). Suppose -15 = -2*v - k*v. Sort 5, -5, v in ascending order.\nAnswer: -5, v, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that 87*h**2\/5 + 9*h\/5 = 0.\nAnswer: -3\/29, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4105516 millennia to decades.\nAnswer: 41.05516","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 7156\/(-2670) + -44*(-32)\/528. Is 0 != v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -1, -9.\nAnswer: -9, -7, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*p + 9 - 49 = 0 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Total of 5729520 and 518.\nAnswer: 5730038","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 12898*c - 219267. Calculate m(17).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 2 (b) -422 (c) 240 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3, -136632, -2, -5?\nAnswer: -136632","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - (0 + -1 + -2 + -2).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*m = 21*m. Suppose m = -2*i + 12 + 6. What is the second derivative of -5*j**3 + 17*j + 14*j**3 - 19*j**4 - i*j**3 wrt j?\nAnswer: -228*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 824894, 824893, 824892, 824891?\nAnswer: 824890","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 78 is divided by (-14)\/4 - -4 - 14\/(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 3*c + c. Suppose 7 = c*s - 93. Solve -5*h - s = -0 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -659688 by 8.\nAnswer: -82461","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the second derivative of 7*f**4\/6 + 22*f**3 + 80*f**2 + 5*f - 100. Factor x(q).\nAnswer: 2*(q + 8)*(7*q + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -21\/8, -1\/13, 39?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 2*q**2 + 2*q + 5. Let l(t) = 4*t + 10. Let v be l(-4). Let h(z) = 2*z + 9. Let w be h(v). What is the remainder when 66 is divided by c(w)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gogstt. Give prob of sequence ogs.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-11)\/2 + (-4)\/(-8) + 4. Let x(t) = -1942*t + 1. Is x(i) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -21\/2 - -45\/4. Let v be 2\/3*2*(-30)\/340. Let c = 3.7 - 3.5. What is the biggest value in c, v, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 54103631 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q - 49. Let d(f) = -4*f - 147. Let l(s) = 2*d(s) - 6*i(s). Let p(j) = j + 1. Let o(h) = 2*h - 2. Let k(z) = -o(z) - 2*p(z). Give -2*k(y) + 5*l(y).\nAnswer: -2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 1096 + 3480 = 4*o, 4*o - 2384 = -2*u. Suppose 2*v - 1182 = -o. What is the tens digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 3*c**2 + 6*c + 29. Give q(-8).\nAnswer: 173","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3155.000005038 + 3155. Round y to seven decimal places.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -5337 greater than -5337?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 8488 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 2*l**2. Let d(a) = 18*a + 4. Let v(n) = 14*n + 4. Let m(x) = -7*d(x) + 7*v(x). What is r(m(j))?\nAnswer: 1568*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1024 = 5*k - 1034. Solve -o + 4*x = 17, k*o + 4*x + x - 18 = 0 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00875390131 to six decimal places.\nAnswer: -0.008754","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -144*j = 319*j - 50*j - 15585 + 717 for j.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -145 + 59 + 6 - -99.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6529\/194 - -15\/97. Let y = 35 + s. Let l = -3 - 0. Which is the third biggest value? (a) 0.3 (b) l (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f**3 + 2*f + 4. Let d be b(0). Solve d = -u - 0*u - l, 5*l + 15 = 0 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 57972 and 288?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1094*s + 864 + 296 - 156 - 29 wrt s?\nAnswer: -1094","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6.52*-34.7.\nAnswer: 226.244","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -2*t**2. Let n(k) = -3*k**2 + 14*k. Let s(q) = 1555 - 1555 - 10*q**2 + q**2 + 39*q. Let m(r) = -11*n(r) + 4*s(r). Determine w(m(b)).\nAnswer: -18*b**4 + 24*b**3 - 8*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 32, 3, 20, -5, -5459 in decreasing order.\nAnswer: 32, 20, 3, -5, -5459","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -227666, -227667, -227668?\nAnswer: -227669","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:42 PM and 8:00 AM?\nAnswer: 678","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57 = -10*m + 7 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 783 and 994322304.\nAnswer: 783","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3\/2*n - 3\/8*n**4 + 3\/4*n**3 - 3\/2 + 9\/8*n**2.\nAnswer: -3*(n - 2)**2*(n + 1)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (132\/88)\/((4\/6)\/(72\/162)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + 21 + 2570 + -2684?\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 8\/(-5)*(-6 - -11). Suppose -4*t = -7*u + 2*u - 169, 3*u = t - 51. Let y = t + i. Is y a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 116*((-117)\/(-52) - 4). Sort 0, -1, r in descending order.\nAnswer: 0, -1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4293, 8637, 13031, 17475, 21969, 26513, 31107?\nAnswer: 35751","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 251467378, 251467400, 251467432, 251467480, 251467550?\nAnswer: 251467648","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 42309671?\nAnswer: 42309671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 1669 + 479 = 0. Let c = k - -928. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -173709, -694825, -1563349, -2779281, -4342621, -6253369?\nAnswer: -8511525","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in 0.17, 2850, 2\/7, -0.1, 0.1?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.03589855 and 6.\nAnswer: 6.03589855","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 220 - 230 = 0. List the prime factors of q.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1513281 weeks to seconds.\nAnswer: 91523.23488","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 273 a factor of 28856373?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 16 (base 13) to base 10\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:51 AM and 12:19 PM?\nAnswer: 508","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -18*y**2 + 149*y + 316. Determine f(10).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 277 minutes before 3:40 AM?\nAnswer: 11:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/2 of a millimeter in micrometers?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 475*x**2 + 7*x - 15. Determine p(0).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 4*o**2 - 2*o - 4. Suppose -6 = -z - z. Let s be n(z). Suppose -r = -2*d - 16, -4*d - 44 = r - 4*r. Solve l = -2*y - r, 2*y + 2*y + 3*l = -s for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r**5\/3 + 253*r**4\/3 - 21418*r**3\/3 + 204456*r**2 - 183456*r - 395136 = 0. What is r?\nAnswer: -1, 2, 84","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 61 - 53. Let i = 0 + 3. Solve -i*b + w*b = 15 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**3\/y*y)**(16\/5)*y**(15\/4)*y\/(y\/(y\/((y*y**(3\/17)*y*y*y)\/y))))**36 assuming y is positive.\nAnswer: y**(34191\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -146*o**2 + 70*o**2 + 76*o**2 + o**3.\nAnswer: o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 209, 454, 697, 938, 1177, 1414?\n\"Answer: -a**2 + 248*a - 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.012848 to three decimal places.\nAnswer: -0.013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14863508 is divided by 243664.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 21*u + 1. Let v be i(1). Suppose 2*h - v = -0*h. What is the remainder when (-1793)\/(-44) + 2\/(-16)*-2 is divided by h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 - p)*(-241*p - 36*p + 6024 - 6025).\nAnswer: 277*p**2 + p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - 3) + -31 + -400 + 410.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 27 divided by -7\nAnswer: -27\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*y + 5*y = -5*q - 10, -q - 5*y = -10 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 21*o**2. Let h(z) = -59917*z. Calculate x(h(f)).\nAnswer: 75390984669*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -814 = -27*r + 806. Suppose -65*z + 4315 = -r*z. List the prime factors of z.\nAnswer: 863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 328680 to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = -a - 3*a - 16, -5*p + 12 = -a. Let d be (5 + p)\/((-3)\/(-6)). Let k be (-1)\/(2\/4)*(-9)\/6. Solve -d = -5*y - k*t + 5, y - 3*t = 11 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -121\/8516820 and 137\/3630120.\nAnswer: 221437320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -246863*c**3*h**4 + c**3*h**2 - 32*c**3 - 22*c**2 - 7*c - 1 wrt h?\nAnswer: -987452*c**3*h**3 + 2*c**3*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -289 + 299. What is the remainder when (-4)\/6 + (-116)\/(-3) is divided by c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 5552235 to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by -230438.\nAnswer: 5\/230438","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-20)\/115)\/((8\/(-9))\/(132\/198))?\nAnswer: 3\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f = 4*q - 9 + 19 - 7, q - 56 = -59 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 17, 1\/4, -2, 2\/17, 12 in decreasing order.\nAnswer: 17, 12, 1\/4, 2\/17, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the first derivative of g**5\/5 - 7*g**4\/3 - 36*g - 42. Let v(q) be the first derivative of b(q). Factor v(r).\nAnswer: 4*r**2*(r - 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m**(-5)*m))**(2\/33)\/(m*m*m*m**(-34)*m*m*(m**(-2\/35)\/m*m)\/m*m) assuming m is positive.\nAnswer: m**(33911\/1155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v**3 - 104*v**2 + 93*v + 994. Calculate k(103).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k**2 - k - 6750. Let n(y) = -2*y**2 + 2*y + 16877. Determine 12*m(q) + 5*n(q).\nAnswer: 2*q**2 - 2*q + 3385","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4993*p**4 - 5*p**3 + p - 7244 wrt p?\nAnswer: -59916*p**2 - 30*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s**3 - 6*s**2 + s. Let d be (-266)\/7*2\/4*2. Let u = 42 + d. Suppose -p = u*t - 18, 0 = 3*p + 5*t - 29 - 4. What is w(p)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*g + 21 = -8. Let d be (-20)\/3 + 2\/(-6). Which is bigger: d or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 minutes before 2:46 PM?\nAnswer: 2:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-6)\/(-8)*-12*10\/15. Let r be (12 - 10)\/((-4)\/z). Solve -4*k + 26 = -2*s - 0*s, 0 = r*k - 12 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7043 + -528227\/75. Which is bigger: 57 or a?\nAnswer: 57","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 241333 + -35?\nAnswer: 241254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 3*s - 20. Suppose -2*m = -6 - s. Is 7 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 76552\/(-70)*(-10)\/4. Suppose -538 - f = -8*b. 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 value of (-6 + 8 - 5) + 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (7*j - 4*j + 0*j)*(1 + 1 + 1) + (-2 + 1 + 2)*(-11*j - 6*j + 4*j) + 2*j + 4 - 4 to b*j + v and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -12*y - 1. Let q(c) = 210*c + 18. Let i(j) = -36*n(j) - 2*q(j). Let x(o) = -57*o. Calculate x(i(v)).\nAnswer: -684*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 360 = 5*j - 0*j. Let o be 368\/3 + 2\/6. Let m = o - j. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.8, 0.07, -2, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4)\/2 + (-1 - -3). Sort 12, 1, v in decreasing order.\nAnswer: 12, 1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 49 divide 256?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve y + 3*i = -1622 + 1621, y + 5 = -i for y.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 6*(-772)\/(-384) - 12. Let m(i) = -i - 3. Let o be m(-5). Is o at least as big as r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 8261*u**4 - 843*u + 16559697?\nAnswer: 33044*u**3 - 843","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 200041 - 43007618\/215. Let q be ((-21)\/86)\/(-1*(-1)\/(-3)). Let r = q + k. Find the common denominator of -81\/4 and r.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 301376.2*-29.\nAnswer: -8739909.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1953\/13 or -150?\nAnswer: -1953\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 110*r - 108*r - 50. Solve -5*q - m = -r, -4*q + 2*m + 15 = -q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -122860 + 122879. Let c = -216 + 421. What is the remainder when c is divided by q?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pmmmmbmahommpm. Give prob of sequence hbo.\nAnswer: 1\/2184","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 2741886 - 256\nAnswer: 2741630","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the second derivative of -x**6\/80 - 7*x**5\/60 - 17*x**4\/48 - x**3\/2 - 17*x**2\/2 - 19*x. Let z(g) be the first derivative of l(g). Factor z(f).\nAnswer: -(f + 1)*(f + 3)*(3*f + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(121)*1)\/sqrt(11) - sqrt(11)) + sqrt(121)\/(sqrt(11)*3).\nAnswer: sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11, -38, -81, -140, -215, -306?\nAnswer: -413","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.0198*-0.5\nAnswer: -0.0099","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 48350?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0013641 to 6 decimal places.\nAnswer: 0.001364","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 15 + -37. Let v be -3*(-6)\/(-9) - 50\/z. What is the second biggest value in v, -1\/7, -5?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-40)\/(-4))\/20)\/(-1*(-4)\/(-16)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 32\/179 and -49\/27236.\nAnswer: 4875244","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1487 + -904. What is the remainder when v is divided by 65?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -3*j - 26. Let y(m) = -4*m - 39. Let t(l) = 5*y(l) - 8*z(l). Is t(10) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*s - 4*s + 1 + 3*s**2 + 2*s**2 + 3*s**2 - 6*s**2 + 2*s**2 + (1 + 2*s**2 - 1)*(-3 + 4 + 0) in the form t + u*s**2 + h*s and give h.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -109, -219, -331, -445, -561, -679, -799?\nAnswer: -921","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -1925861 (base 13) to base 7\nAnswer: -130010306","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5 + 9. Suppose -2*f - 2 = -4*g, -5*f + 28 = 3*g - 2*g. Solve 3*u - g*x - 16 = 5, -d*x - 10 = 2*u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -31.05553 minus -1123.8?\nAnswer: 1092.74447","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 2254 = -574. 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 highest common divisor of 5 and 5211005?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 3016552000 to the nearest 1000000.\nAnswer: 3017000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 83764649 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 22722?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -186699*f**2 - 11264*f + 10?\nAnswer: -373398","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -18*o - 368 + 404 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 33 - 19. Let b(s) = 12 + 1 - q. Suppose -24 = 4*o - 0. Let i(t) = -2*t - 6. Give o*b(h) + i(h).\nAnswer: -2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the second derivative of 29*c - 1\/120*c**5 + 0*c**2 - 13\/2*c**3 + 0 - 1\/12*c**4. Let d(k) be the second derivative of z(k). What is d(2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2\/48)\/(43\/(-13072)*-38). Factor -11*r**2 + q*r + 11 - 1\/3*r**3.\nAnswer: -(r - 1)*(r + 1)*(r + 33)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (156\/(-2002))\/(-28 - (-10948)\/392).\nAnswer: 12\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46555 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) -5 (b) 2535.2 (c) 5\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 56442552 and 6?\nAnswer: 56442552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/3, -3, 3\/7, -27.\nAnswer: -27, -3, -4\/3, 3\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one halves of a microgram in nanograms?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*l = -5*l - 5*v - 5, 4*v + 49 = -1868*l + 1849*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 667923 and 1005.\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*x + 1630 = -4070. Suppose -4*n - 2*a = -a - 385, -5*n + 5*a = -x. What is the units digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zgggwfz. What is prob of sequence zgw?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -56*p + 3357. Let j be i(60). What is the second smallest value in 0.5, j, -2, 15\/2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/r**10*r**2)**(-17))**(-48) assuming r is positive.\nAnswer: r**(-5712)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 250*j - 5 - 486*j + 241*j. Determine a(-7).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 44362, 46959, 49560, 52165, 54774?\nAnswer: 57387","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -n + 7*n**4 + 2*n + 4*n - 7*n wrt n.\nAnswer: 84*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a**3 - a**2 - 3*a - 5. Does 8 divide y(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 6\/11 (b) -5\/6 (c) 36 (d) 0.2 (e) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2, -2\/15, -2\/579, 0.06?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 6 - 3*4\/(-12). Suppose 0 = -9*j + f*j + 12. Suppose 5*g + 4*m = 6*g + 2, -3*m = -2*g + j. Solve 2*d = -0*d - g for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28502 to the power of 1\/3, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-r**2 - 2*r**2 - 5*r**2)*(-136 + 136 + r**2 + 14*r).\nAnswer: -8*r**4 - 112*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 4*o + 2. Let c be u(6). Let b be c\/10 - (-4)\/10. Suppose b*i = -i + 20. List the prime factors of i.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n + 2. Let x be a(9). What is the greatest common divisor of 22 and x?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 4*m. Let d(x) = -x**3 - 10*x**2 + 12*x - 13. Let t be d(-11). Let n = -21 - t. Determine c(n).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 2700 = 2*g. List the prime factors of (g\/21)\/((-1)\/7).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 11*n**2 + 524*n + 279. What is l(-47)?\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 3*m + 18 = -5*m, -4*t + 4 = 4*m. Suppose 2*k + 4*n - 2 - 48 = 0, 5*n = 15. Let o = -17 + k. Solve t*d - 3*r - 10 = 0, 4*r = -o*d + r + 25 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 215 is divided by 54?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(192) + (3 + sqrt(192)*1 - sqrt(192)))**2*2 - (-1 + (sqrt(192) + -1 + -1 - sqrt(192)))**2*5.\nAnswer: 384*sqrt(3) + 1563","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -24*q*r**4 + 66*q*r**3 - q*r**2 + 669*q - 4*r**3 + 182*r wrt r.\nAnswer: -576*q*r + 396*q - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*((3*-2*sqrt(448) + sqrt(448) + sqrt(448) + sqrt(448) + 0 - ((sqrt(448) + 1)*-6 - sqrt(448) - sqrt(448)*-1*-1)) + 3))**2.\nAnswer: 6480*sqrt(7) + 101529","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -133456449 divided by -5271.\nAnswer: 25319","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve h + 5 = -179*g + 183*g, h - 5*g = -6 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 907730 and 7785368?\nAnswer: 4222","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -10 (b) -1\/5 (c) -2 (d) -1 (e) -4.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the third derivative of b**4\/24 + 25*b**3\/6 + b**2 + 125*b. Calculate h(-12).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.164 + -0.264. What is the second smallest value in v, -2.2, 0?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2133560 divided by 2\nAnswer: -1066780","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1071 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 24\/(-45) + -6*(-44)\/99.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j**2 + 8*j + 10. Let f be ((-3)\/6)\/((-5)\/(-70)). Let g be o(f). Solve -14 = g*x - 17 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g. Let u(q) = 9*q + 13. What is u(f(y))?\nAnswer: -9*y + 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 22264644 to the power of 1\/7, 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 -374, -1522, -3438, -6122?\nAnswer: -9574","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 74 and 40.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 990?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1216 + -13410\/11. What is the common denominator of -67\/4 and k?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2240837 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -51 + (9 - -33) + -9\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - ((139 - 138) + 0 + -3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 o and 1 d when four letters picked without replacement from {d: 7, o: 5}?\nAnswer: 14\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -306 (base 7) to base 4.\nAnswer: -2121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -11925, -23863, -35801, -47739, -59677?\n\"Answer: -11938*w + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 20 + 49?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 4669978499 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 6, w: 13}. Give prob of picking 2 o.\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence accx when four letters picked without replacement from {c: 2, k: 1, x: 1, a: 1}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6819320 by 5.\nAnswer: 1363864","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*z**2 + 8*z**2 + 0*z**2)*(2*z - 2*z + 2*z) - 7*z**3 + 3*z**3 - 3*z**3.\nAnswer: 19*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -506, -565, -730, -1055, -1594?\nAnswer: -2401","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20189.\nAnswer: 13, 1553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 2 + 1 = 0. Let c be ((-5)\/n)\/((-1)\/3). Suppose -3*q - 4*i = -28, 5*q - 32 = 2*q - c*i. List the prime factors of q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*x - 1 + 39. Let d(s) = 14*s - 34*s + x*s. Let u(m) = -22*m**2 + 38*m**2 + 8*m**2. Give u(d(v)).\nAnswer: 24*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 3665 less than 3680?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(5) - (3 + sqrt(45)) - (sqrt(15)\/sqrt(3) + -5)) + (sqrt(20) + (sqrt(180) - sqrt(20)))\/sqrt(4) + -1.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 149252?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -6, -9294, 4, -5, -3 in descending order.\nAnswer: 4, -2, -3, -5, -6, -9294","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h**3 + 8*h**2 - h + 10. Let t be d(8). Suppose 0 = -t*z + 3*z - 2. Solve -6 = -z*f - 14 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n**2 - 23*n - 22. Let w be u(24). Factor -3\/2*c**w + 6*c - 6.\nAnswer: -3*(c - 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ttrel. Give prob of sequence lre.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 - 18a?\nAnswer: -190","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 12 - (7 + (-1 - (13 + -13)))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 14944345 to the nearest integer?\nAnswer: 246","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -622 or -621?\nAnswer: -622","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nymymnfnyy. Give prob of sequence fmm.\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2517 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -10089.653 + 10054. Round c to the nearest integer.\nAnswer: -36","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (88\/(-10))\/(2\/(-20)). Suppose 4*h = 2*d + b, 2*h - h - 16 = 2*d. What is the highest common divisor of h and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 438 is divided by 45.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -46668 + 46670. Let g be ((-1)\/2)\/((-14)\/(-8)). Sort l, 3\/8, g, -1\/8 in ascending order.\nAnswer: g, -1\/8, 3\/8, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9 - -59. Let d = -139 + y. Let q = -67 - d. Solve -3*f + 12 = 5*i, 27 - 11 = q*f + 4*i for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -742, -794, -918, -1150, -1526, -2082?\n\"Answer: -6*t**3 - 10*t - 726","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3 + -1564480?\nAnswer: -1564476","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 7*l + l - 6*l)*((0 - 1 + 2)*(-1 + 1 - 2*l) + 5*l - 3*l - 3*l - 3*l + 2*l - l - 4*l + 4*l - l + (5 + 5 - 5)*(7*l - 4*l + 4*l)).\nAnswer: 58*l**2 + 29*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (-b**2 + 4*b**2 + 3*b**2)*(28*b - 58*b + 26*b**2 + 30*b - 107*b**2) - 6*b**4 + 8*b**4 + 0*b**4 as s*b**3 + d*b + x*b**4 + z + w*b**2 and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 times -187836?\nAnswer: 56350.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 772?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.08793361 rounded to 2 dps?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rvh when three letters picked without replacement from fhhlrvd.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 788238, 788236, 788234, 788232, 788230, 788228?\n\"Answer: -2*y + 788240","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/6, -0.4, 2, -116 in increasing order.\nAnswer: -116, -0.4, -1\/6, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 12\/(-18) + (-119)\/(-3). Is d at most 35?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -5 - k - 363*k**2 + 6*k + 414*k**2. Let l(n) = -76*n**2 - 7*n + 7. What is 5*l(a) + 7*v(a)?\nAnswer: -23*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j, 1 w, and 2 f when four letters picked without replacement from {w: 1, s: 2, j: 8, f: 5}?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*c**5 + 4*c**4*f**3 - 2*c**2 + 43*f**3 wrt c.\nAnswer: 120*c**2 + 96*c*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h**2 + 21*h + 46. Give g(-17).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4117360 and 1391.\nAnswer: 1391","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(13) + 5)**2 + 3 - ((sqrt(832) + -1)*5)**2.\nAnswer: -20793 + 408*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 2*x - 33. Calculate the least common multiple of 8 and q(42).\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -2 + (-4*(sqrt(125) + 0 + sqrt(125))**2 + 5 - (0 + -3*(sqrt(125) + 2))) + 4.\nAnswer: -1989 + 15*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -n + 15. Let d be b(11). Suppose d + 1 = 5*l. Solve 0 = 4*q - 3*q - l for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 88878?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 5*b**2 + 17*b - 17. List the prime factors of v(-9).\nAnswer: 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(3\/8)\/(p**(3\/10)*p))\/((p\/p**(-1))\/(p\/p**(1\/6)*p)))\/(p**(1\/2)*p**(1\/4))**18 assuming p is positive.\nAnswer: p**(-1751\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.02 and 368.04592.\nAnswer: -7.3609184","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 divided by 16?\nAnswer: 41\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -5*d**2 + 12*d - 3. Let q(r) = -6*r**2 + 16*r - 4. Let o(c) = -4*a(c) + 3*q(c). Let i(y) = -531*y. Determine i(o(s)).\nAnswer: -1062*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4 + -2. Suppose 0 = -g + 2*m - 6*m + 1, j*g = -m + 2. Suppose -f + 6 = g. Is f a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7408\/(-1389))\/(1*(-4)\/6).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 86 - -110?\nAnswer: 196","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5234 - 5229. Put -6, a, -5, -14, 8 in increasing order.\nAnswer: -14, -6, -5, a, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -41130\/29 smaller than -1417?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*o - 5*o - 15 = 0. Suppose -4*m = -3*m - o, 0 = -4*p - m + 25. What is the units digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1.89 and 0.0596586.\nAnswer: 1.9496586","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -145 + -3?\nAnswer: -148","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -305*h**3 - 3 + 2*h**3 + 0*h**3 + 3.\nAnswer: -303*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 3, -46, -481?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -l**2 + 7*l**2 + 0*l**2 + (1 + 3*l - 1)*(2 + l - 2).\nAnswer: 9*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -13 + -23. Let h = 335 + r. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.06 take away 0.268?\nAnswer: -1.328","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/(-5))\/((-132)\/(-30))\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 76 is divided by 2\/12 + 753\/18?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9661 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2 + 3. Let d(p) = 5 - 2 + p - 2. Determine d(v).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -564918746, -1129837493, -1694756240, -2259674987?\n\"Answer: -564918747*i + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, q: 3}. Give prob of picking 1 o and 1 q.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4\/10 + 608\/(-20). Let l = h - -54. Suppose 3*q + j = -6 + 22, -q + 4*j = -14. Calculate the highest common factor of q and l.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1126285 + -23.355.\nAnswer: -1126308.355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in 2, -619.43, 0.3, -4.2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4 + -65?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -3*u**2 - 24*u + 4. Let b be m(-8). Solve -g - b*f = -17, -9 = -0*g - g - 2*f for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -1691*a + 43. Let d be h(-4). Let n = -2170 + d. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 2 + 0)*(5 - 5 + 14)*(-4 - 4*l + 4 + (-5 + 5 - 2*l)*(-3 + 3 - 1) - 5*l + 4*l + 3*l + 2*l - 1 + 1 - 2*l + 4*l - l) as q*l + j and give q.\nAnswer: 168","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8*k**2 + 228*k + 0*k**2 + 2*k**2 - 9*k**2 wrt k.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 17 and 6323.\nAnswer: 6340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + h + 8 = -h, -4*h = k + 1. Let v = 210 + k. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10313350?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 527 or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(153)\/sqrt(3) - (sqrt(561)*1 - sqrt(561))\/sqrt(11))\/(2*2*sqrt(192)).\nAnswer: -3*sqrt(17)\/32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 675 divided by -135.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 1 + 2)*(13*s - 18*s + 11*s)*(4 + 13 - 6) to q + h*s and give h.\nAnswer: 132","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*s - 2*s**3 + 2*s + (0 + 3 - 5)*(3*s**3 - 5*s**3 + 3*s**3) - 3*s**3 - s**3 + 5*s**3 - s**3 - 1 - s**3 + s**3.\nAnswer: -4*s**3 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 254920451 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*j**5 - 3 - 174*j**3 + 174*j**3 + (5 - 4 - 2)*(-2*j**5 + 3*j**5 - 2*j**5) + 0*j**5 + 2*j**5 - 4*j**5.\nAnswer: -6*j**5 - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.4, 12, 66176, -4, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 690625?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 46495, 186004, 418521, 744046, 1162579?\n\"Answer: 46504*n**2 - 3*n - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 556.98 times 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1674527, 3349036, 5023543, 6698048, 8372551, 10047052?\n\"Answer: -g**2 + 1674512*g + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16229*d + 1364*d - 252*d.\nAnswer: -15117*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -1115*y + 3. Let a(d) = 11*d - 15. Let g(h) = 2*h - 3. Let q(w) = -2*a(w) + 10*g(w). What is f(q(l))?\nAnswer: 2230*l + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a + k + 465 = 428, k - 12 = 2*a for a.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44 + 216 = 13*w. Solve 0 = 5*v - 4*t + 31, -t - t = -4*v - w for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*l + 0*l + 3*l + (-5 - 2 + 5)*(-4*l + 2*l + l).\nAnswer: l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2756 (base 8) to base 15.\nAnswer: 6b3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1227 (b) 0.07 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m + 13*n = 59, 22*m = 19*m + 4*n - 11 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5 + -5*-4*-5*(sqrt(432) + -1 + sqrt(432)) + 1)*-5)**2.\nAnswer: -12720000*sqrt(3) + 432280900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -3*w + 40. Let a be c(6). Let d be 8\/a - 1000\/88. Which is greater: -4 or d?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -2500, -10026, -22562, -40102, -62640?\n\"Answer: q**3 - 2511*q**2 + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1486?\nAnswer: 2, 743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 176010767 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**10*r**(-1\/10)\/r assuming r is positive.\nAnswer: r**(89\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the first derivative of -w**6 + 17*w**5\/5 - 10*w**3\/3 - 5*w**2 + 448. Find the third derivative of o(z) wrt z.\nAnswer: -360*z**2 + 408*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 15, 0.01, -14\/15, 2, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*m + 7500 = -2*m. Suppose 6*b = -4*b + m. What is the remainder when b is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10110 - -1111001?\nAnswer: 10001111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 47*s**2 + 51*s**2 + 57*s**2 + 54*s**2 - 205*s**2.\nAnswer: 4*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/11*s**2 + 106\/11*s - 392\/11.\nAnswer: -2*(s - 49)*(s - 4)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 20, 513, -7, -28.\nAnswer: -28, -7, -3, 20, 513","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 42.6011 or 9\/4?\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 43680\/(-13728) + (9\/(-11) - -1). Sort q, -510, 2 in increasing order.\nAnswer: -510, q, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 4}. What is prob of picking 3 w?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -17*o + 232. What are the prime factors of f(8)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = q**3 + 2*q**2 - q - 3. Determine n(-4).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 15763 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/9, 2\/7, 0.19, -2\/5, 2?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put together -41176645 and 838.\nAnswer: -41175807","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 134\/7 (b) -2 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -133 + 135 + (1 + -1 - (41 - 21)).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -33 - -68. Let i = g - 35.21. Let f = i - -0.25. Sort -4, 0, f in decreasing order.\nAnswer: f, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:24 AM and 8:55 AM?\nAnswer: 391","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/10473 greater than or equal to -0.59?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 1989511 to the nearest 1000.\nAnswer: 1990000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5312006?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(17) + 1)*5.\nAnswer: -20*sqrt(17) - 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that -572\/5*d**3 - 30*d**2 + 808\/5*d + 136\/5 - 12\/5*d**5 + 238\/5*d**4 = 0.\nAnswer: -1, -1\/6, 2, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41906 + 2674 = 2617*y + 90784 - 30570 for y.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((sqrt(3630) + -3*1*sqrt(3630))\/(3*sqrt(10)*1*-6))**2*6.\nAnswer: 484\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 f when three letters picked without replacement from vfvvvff.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3a99 + 3?\nAnswer: -3a96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 28347196?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 47 + -27. Let y = -28 + m. Which is greater: -7 or y?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -50.221 to the nearest integer.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c**2 - 5*c - 4. Let u be i(-3). Suppose -7*s + u*s = 0. Suppose s = -4*z + t + 35 + 6, -5*t - 16 = z. What is the units digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 67912953401 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 2*z**2 - 11*z + 13. Let j be x(4). Is j\/(-2 + 3 + (-24540)\/24545) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 1, -0.2, 5, -1, -12, -16012?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*p + 46100 + p - 46122 to the form a*p + v and give v.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 148 minutes before 8:54 PM?\nAnswer: 6:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the third derivative of 1\/105*o**7 + 0 + 0*o**5 + 1\/24*o**4 + 0*o**6 + 0*o**3 + 0*o - o**2. What is the second derivative of i(z) wrt z?\nAnswer: 24*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6474 and 415.\nAnswer: 32370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m**3 - 2*m**2 - 2*m + 3. Let b be d(2). Let o = -1.3 - -60.3. Let u = o - 61. What is the nearest to -0.8 in 3, b, u?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2\/(-4))\/(3\/(-21565)). Let u = h + -3606. Let y = -273 - -2449\/9. Find the common denominator of u and y.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1366?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -19f4 (base 16) in base 15?\nAnswer: -1e7e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (15\/(-10))\/((-6)\/8). Let h be 7*(x + -1)\/1. Suppose -7*j = 9*j - 64. Solve -j*o + 23 - h = 0 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 4*r - 42 = 0. Solve -r + 9 = 4*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 481 and 608569?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:49 AM and 4:42 AM?\nAnswer: 173","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 3 + 4 - (-3 + -2 - -5)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -618.46 * -69\nAnswer: 42673.74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**5 - 31*m**4\/3 + 118*m**3\/3 - 66*m**2 + 45*m - 9.\nAnswer: (m - 3)**3*(m - 1)*(3*m - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 2*l**2 + 32*l - 7. What is the tens digit of u(-18)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -69*p + 659. Calculate x(10).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 0*y + 0*y + y. Let u(v) = 3*v - 5*v - 2*v + 8*v. Calculate x(u(c)).\nAnswer: 4*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((2 + 4)*(-249)\/(-5229))\/(258\/(-259) + 1)?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -161, -2553\/4, -6 in increasing order.\nAnswer: -2553\/4, -161, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 43678 is divided by 2705?\nAnswer: 398","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.88 + 0.6. Let a = 0.08 + h. What is the nearest to 3 in a, -0.4, -4?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j*j**(10\/9)*j**(-1\/6))\/(j**(-4\/7)*j*j)**(-3\/37) assuming j is positive.\nAnswer: j**(14267\/4662)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -2 times -0.48\nAnswer: 0.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3933?\nAnswer: 3, 19, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/(-4)*(-2884)\/3090\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -343*g + 1532*g + 154*g - 78.\nAnswer: 1343*g - 78","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, -5, -1, 2006 in descending order.\nAnswer: 2006, 12, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - 5 - 14*j**2 + 19*j**2.\nAnswer: 5*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28514639.\nAnswer: 41, 131, 5309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4689*u - 208981 - 195919 = -299*u - 101990 for u.\nAnswer: -69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 93394393 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -4*y. Let g(s) = s**2 + 3. Let m(t) = -4*t**2 - t**2 + 3*t**2 + 3*t**2 + 2. Let u(p) = 2*g(p) - 3*m(p). Determine u(k(n)).\nAnswer: -16*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1400.5 - -1401. Let s = -5.1 - -5. Which is the third smallest value? (a) 0 (b) s (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r**3 + r**2 - r - 1. Let t(k) = -102*k**3 + 16*k**2 + 6*k + 6. Let o(j) = 6*b(j) + t(j). What is the third derivative of o(g) wrt g?\nAnswer: -648","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 39059 to the nearest integer?\nAnswer: 198","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y*y\/y**(-1\/10))\/y**16)\/(y*y**(-3\/4))**(4\/7) assuming y is positive.\nAnswer: y**(-913\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -76.9 - -77. What is the closest to 0 in 0.2, -0.4, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 373 minutes before 8:21 AM?\nAnswer: 2:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 59741 - 11597. Is 59 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + 0 + 7*a**3 - 4*a**2 + 0 + 2*a**2 to the form i*a + k*a**3 + u + f*a**2 and give k.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -132 = 5*o + a - 1061, -5*o - 2*a = -933. Suppose 2*n - o = -3*n. What is the remainder when n is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 76937 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2848 + -26.\nAnswer: -26.2848","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 433281?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*w - 0*w + 5*t - 30, 4 = 2*t. Suppose -5*m + w*m = -27. Suppose s = -1 + m. What are the prime factors of s?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 20099? (a) 2 (b) 2\/11 (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((-2 + sqrt(3) + 1 + sqrt(30)\/sqrt(250))**2 - (((sqrt(3) - sqrt(6)\/sqrt(2)) + -5 - 4*(1 + sqrt(3))) + -3)).\nAnswer: 8*sqrt(3)\/5 + 483\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 102*u = 5*x + 597, 15 = 100*u - 100*u + 5*x for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 2*d**2 + 53*d - 7290. Determine c(47).\nAnswer: -381","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5369 and 476307.\nAnswer: 767","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/21 (b) 24 (c) -0.3 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 12 and 244.\nAnswer: 2928","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 600679 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -691, -1322, -1879, -2362, -2771, -3106?\nAnswer: -3367","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/8, 3, 107?\nAnswer: 107","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*p**2 + p - 3*p - 4*p**2)*(2 - 2 - 3) to h + s*p + o*p**2 and give o.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r**3 + 4*r**2 + 4*r - 2. Let d be h(4). Suppose -j + 2*j = 6. Let y be j\/21 + 80\/d. Which is smaller: y or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 129\/950 and (62\/(-2945))\/(18\/(-48)).\nAnswer: 2850","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:15 AM and 6:37 PM?\nAnswer: 502","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 82664 is divided by 3179.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 178739630681 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -128*g - 190 = -4*v + 2*v + 176, 11 = 3*g - 2*v + 2 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 4 = 2. Suppose -i*t + 8*t - 660000 = 0. What is t rounded to the nearest ten thousand?\nAnswer: 130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 36 = 48. Let n = 97 + b. Let t = 100 - n. Does 14 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -166659035 plus -0.0763302?\nAnswer: -166659035.0763302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2103243 (base 5) to base 11.\nAnswer: -24188","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 r when two letters picked without replacement from {r: 6, h: 13}.\nAnswer: 26\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 77*y - 154*y + 76*y + 155 + 460.\nAnswer: -y + 615","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.3 (b) 2\/13 (c) 4 (d) 598 (e) -48\/53\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*u + 214 - 52 = -30 for u.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6724*l**2 - 97*l + 7611*l**2 - 34*l wrt l?\nAnswer: 1774","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 * -0.89.\nAnswer: -3.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 38 and 11530397.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -28 + 75. Suppose -16 = -4*j, -k + 5*j = 46 + g. Let o = -25 - k. Is o a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 448253633 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Let k be (-160)\/(-64)*(-12)\/(-25). Which is the nearest to -1? (a) k (b) 0.1 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 225 divide 937575?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8738 + -8737.959644. Round h to two decimal places.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 4*p + 11. Is 1\/(p*(-1)\/15) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4.4+-45\nAnswer: -40.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1402 and 64368.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3231211 - -103?\nAnswer: 3231320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 369*q - 26305 = 29970 - 556 for q.\nAnswer: 151","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*o + 4*x - 460, 0*o + o - 107 = x. Suppose -20 = -n + o. Does 19 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 3*d**3 + 62*d**2 + 25*d + 439. What is t(-19)?\nAnswer: 1769","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 0.2 (b) 0.61575 (c) 3 (d) 0.4 (e) -0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3.7, 34\/7, -910 in increasing order.\nAnswer: -910, -3.7, 34\/7","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Put 3, -2, 9, 0 in ascending order.\nAnswer: -2, 0, 3, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -2*x + 7. Let r be d(5). Let z be 1\/2*(r + 3). Let k = 95\/132 + 1\/33. Which is greater: k or z?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f**3 - f**2 - 2*f - 2. Calculate b(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 113687 divided by 149.\nAnswer: 763","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*h - h - 42*h**2 + 43*h**2 - 4*h + h.\nAnswer: h**2 - 9*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4.8751 - -1.8751. Put 46, 0.4, 2\/7, -0.3, v in ascending order.\nAnswer: v, -0.3, 2\/7, 0.4, 46","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f**2 + 26754*f + 133706. Calculate h(-5).\nAnswer: -89","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 108.2 - 104.2. Let c be 9\/20 - (-45)\/60 - 2. What is the nearest to -22 in -5, c, f?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 640 and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3741 and 20118711?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 162\/(-30) + 6\/15. Sort -0.4, 7, p in increasing order.\nAnswer: p, -0.4, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 406979508?\nAnswer: 2, 3, 13, 431, 6053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (60*a - 3 + 67*a + 3)*(2*a - 5*a + 0*a).\nAnswer: -381*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 17*g**2 - g - 9. Is r(-4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 146759378?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 5 + 3)*(3*m**2 - m**2 - 4*m**2 + (-3*m + 4*m + 0*m)*(m + 2*m - 2*m) + 5*m - 5*m + 20*m**2).\nAnswer: 19*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -9*q**2 - 817*q + 183. Calculate i(-91).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**3\/2 + 6403*i**2\/2 + 76620*i + 459288.\nAnswer: (i + 12)**2*(i + 6379)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the first derivative of d**2\/2 - 10338. Let s(j) = -5*j**2 + j + 2. Determine t(s(x)).\nAnswer: -5*x**2 + x + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 988571 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that -2*o**4 - 28*o**3 + 998*o**2 - 4928*o = 0.\nAnswer: -32, 0, 7, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-4 - -5 - 1625\/6)*-18?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 594, 592, 590, 588?\n\"Answer: -2*u + 596","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:09 PM and 10:47 PM?\nAnswer: 158","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2256 + -2255.5. What is the biggest value in -14, t, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 minutes after 6:37 AM?\nAnswer: 8:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 199.008 - 2.908. Let r = d + -196. Suppose 5*q = -h - 2*h - 204, q = 2*h - 33. Which is smaller: r or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.32 <= -53?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 + 4 - 202*m**2 - 10.\nAnswer: -202*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 42240 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 390\/20*(-18)\/27.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*o + 3*o - o)*((o + o**2 - o)*(o - o - o) + 6*o**3 - 4*o**2 + 4*o**2) - 2*o**4 + 0*o**4 + 3*o**4 as i*o + j*o**2 + y + c*o**3 + g*o**4 and give g.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2587962*i**2 - 313*i**3 + 2587962*i**2 + 2.\nAnswer: -313*i**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x + 391 = -125*i + 241, -4*i + 2*x + 100 = 0 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 66 + -214.4804956\nAnswer: -148.4804956","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 29 = 5*o, n + o - 5 = 4. Let h(t) be the second derivative of 0 + 0*t**2 - 5*t - 1\/6*t**n + 0*t**3 + 7\/20*t**5 - 1\/6*t**6. Factor h(y).\nAnswer: -y**2*(y - 1)*(5*y - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.352288 rounded to four dps?\nAnswer: -1.3523","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = g - 838*f + 839*f + 11, -22 = 4*g + 2*f for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.057 rounded to 1 decimal place?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/5 at most 2\/44310237?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -555 - -1033322?\nAnswer: 1032434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is s in -3*s**3\/7 - 32859*s**2\/7 = 0?\nAnswer: -10953, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 56387253 * -0.1.\nAnswer: -5638725.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53*k + 17*k - 26*k = 484 for k.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a week in minutes?\nAnswer: 6048","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 11203056 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 522732 is divided by 2033?\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k**3 + 11*k**2 + 27*k + 3. Calculate o(13).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1450, -11551, -38960, -92329, -180310, -311555, -494716, -738445?\nAnswer: -1051394","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2842)\/168 - -12 - (-1)\/(-12). What is the fourth smallest value in 0.11, k, -4, 3\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -13.774 + 13.2. Let r = 0.004 + g. Let t = r + 0.07. What is the nearest to t in -2, -1, 1\/3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = 3*u - 14, -2 = 5*u - 4*t + 24. Let z be 1\/u - 17\/(-2). Let c be 2 + z\/(-2) - -2. Is 0 > c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -122778*h - 104 = -122780*h + 6*l, 4*h - 38 = 2*l for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-798)\/9)\/(3\/(-18)). Let n = 1113\/2 - w. What is the common denominator of n and -39\/10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -10*i**2*u**3 + 16*i**2*u - 2480*i**2 + 4641*i*u**3 wrt u.\nAnswer: -60*i**2*u + 27846*i*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 m and 1 b when four letters picked without replacement from {i: 2, q: 4, b: 3, m: 10}?\nAnswer: 30\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g**2 - 3*g + 4. Calculate j(-5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 90 + -50. Let l(p) = -17*p**2 - p + 1. Let n be l(1). Let u = -9 - n. What is the highest common factor of u and t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5e (base 15) to base 12.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/(-80)*30*(-1440)\/300.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 155867.29 rounded to the nearest one hundred?\nAnswer: 155900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*q**2 + 2127 - 12*q**2 - 2127 - 4*q**3.\nAnswer: -4*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10017726 and 3.\nAnswer: 10017726","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 6*y**2 - 4*y**3 + 5*y**3 - 9 - 2*y + 0*y**3. Let c be n(-6). Suppose -4*f + 5*s = -c - 52, 3*s - 15 = 0. List the prime factors of f.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 2 - 3)*((16 - 4 + 13)*(-3*g + 6*g - 4*g) + 4 - 4 + 2*g) to the form q*g + z and give q.\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 104, 173, 254, 353, 476, 629?\n\"Answer: j**3 + 62*j + 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2 (b) 5\/2 (c) 12\/13 (d) -0.14 (e) -1\/5 (f) 0.1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -4*u - 27. Let z(f) = -7*f - 53. Let y(r) = 5*h(r) - 3*z(r). Let o be y(-14). Calculate the highest common factor of o and 80.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 57059*z**3 + 951*z + 21 wrt z.\nAnswer: 342354*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-610)\/793)\/((-95)\/171)?\nAnswer: 18\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:16 PM and 4:11 AM?\nAnswer: 355","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 3*m. Let x(d) = 6*d - 1. Let n(i) = -9*j(i) + 4*x(i). Let v(r) = -r**2 - 3*r + 3. Let a be v(-5). What are the prime factors of n(a)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.3351 rounded to two dps?\nAnswer: 1.34","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Total of 11 and 4045.\nAnswer: 4056","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a milligram in micrograms?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-8 - 2) + 21 - 9. Solve r*v + 14 = -7*s + 6*s, -29 = s + 5*v for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2*c - 2*c + c)*(-4*c + 0*c + 2*c) + 4*c**2 - 4*c**2 + c**2)*(2*c**3 + 3 - 3).\nAnswer: -2*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 101144323 (base 5) to base 11.\nAnswer: 261987","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -13*n**4 + 20*n**3 + 35*n**2 - 72*n - 24. Let a(x) = 28*x**4 - 40*x**3 - 68*x**2 + 145*x + 52. Let q(f) = -6*a(f) - 13*w(f). Factor q(i).\nAnswer: i*(i - 22)*(i - 1)*(i + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -6*r**3 - 86 + 6*r**3 - 46*r**4 - 9*r + 41*r**4 wrt r?\nAnswer: -20*r**3 - 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1448*p = 1445*p + 57. Calculate the smallest common multiple of 38 and p.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (26\/4)\/(-1)*27\/135*-10?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m**2 + 8*m - 2. Let f be x(7). Let p be (-2)\/f + 60\/25. Let c(h) = 4*h - 5 + h**p + h - 3*h - 5*h. Calculate c(5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 496?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = -5*i - 3*o + 100, 0 = 2*i - 5*o - 12. Suppose w = 3*x - 78, -11*x - i = -12*x - 3*w. Solve -f + 5*q = x, -f - 5*q + 25 = f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -2*t + 6*t - 2*t. Let c(x) be the second derivative of -5*x**3\/3 - 3*x. Give c(m(h)).\nAnswer: -20*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, r: 3, p: 3}. Give prob of sequence rr.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -35 - -30. Let j(a) = -a**2 + 12*a - 17. Let d be j(13). Let t be (y\/15)\/(2\/d). Let o(q) = q - 7. Determine o(t).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 353012?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 564829529?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -184 + 0.1\nAnswer: -183.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 42 - 32 - (0 + 8). Solve 0 = 5*f + 2*l + 27, -4*l + 9 = -p*f + 3 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 86*p**2 + 593*p - 57. What is k(-7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7274, -7951, -8628, -9305, -9982, -10659?\nAnswer: -11336","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 10787 + -4501. List the prime factors of r.\nAnswer: 2, 7, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -28*n**3 - 14*n**2 - 24 + 8*n**2 + 8 + 15*n + 16 to o + b*n + a*n**3 + v*n**2 and give a.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -656 + 656.4. What is the closest to t in 1.2, -0.2, 3\/4, -3\/8?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of n**2*r**3 + 2*n**2*r**2*x - 2*n**2*r*x + n**2*x - 19*r**3*x + 13*r**2*x wrt r?\nAnswer: 6*n**2 - 114*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 72655435 to the power of 1\/7, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -73\/74 and -109\/730660?\nAnswer: 27034420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that -2*x**2\/9 + 44*x - 2178 = 0.\nAnswer: 99","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i**2 + 11*i + 8. Let o be u(-11). Suppose -4*b = -o*b - 20, 2*q - 3*b - 77 = 0. Calculate the remainder when q is divided by 9.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -32 - -29. What is the third smallest value in 0.3, 2\/31, i?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-34)\/u)\/(u*u*u**35))\/((u*u**(-7\/6)*u)\/u**(-29)) assuming u is positive.\nAnswer: u**(-611\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d = 4*d - 60. Calculate the remainder when d is divided by 2\/(-2)*-6 - -2.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 divided by 116?\nAnswer: 71\/116","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*v = -22077 + 21933 for v.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((a\/a**(-3))\/(a**(2\/5)*a*a))**48)**(-1\/37))**14 assuming a is positive.\nAnswer: a**(-5376\/185)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8 and 1213868.\nAnswer: 2427736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the first derivative of 12\/25*r**5 + 4\/5*r + 9\/5*r**2 + 68 + 32\/15*r**3 + 7\/5*r**4 + 1\/15*r**6. Factor w(l).\nAnswer: 2*(l + 1)**4*(l + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 48\/29 and 24\/19.\nAnswer: 551","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 690195476 to the nearest integer?\nAnswer: 884","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -8807076 rounded to the nearest one hundred thousand?\nAnswer: -8800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1867591960 take away 0.5?\nAnswer: 1867591959.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g**3 - 4*g**2 - 4*g - 1. Let k be b(5). Suppose -k*j + 0*j = -20. Calculate the smallest common multiple of 7 and j.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -23 + 64. List the prime factors of c.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/4, 133, 0.5.\nAnswer: -3\/4, 0.5, 133","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -114 = 142*d - 199*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, -13682, -2\/5 in descending order.\nAnswer: 0.3, -2\/5, -13682","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**3*k)\/((((k\/(k*(k**(-2)\/k)\/k)*k)\/k)\/k)\/k*k*k))\/(k**(-1\/2))**26 assuming k is positive.\nAnswer: k**13","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine fifths of a litre in millilitres?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 16285586479 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*z = -5*z - 8. Let x be ((-8)\/2)\/(3090\/775 - z). Suppose 4*p - n - 620 = -5*n, n + x = 2*p. What is the hundreds digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*r**2 - 2*r**2 + r**2)*(-2 + 4 - 4)*(5*r**3 - 2*r**3 - r**3).\nAnswer: 4*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 3, k: 2, x: 4, n: 2, g: 1}. What is prob of sequence nnyx?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = -b + 18. What is the remainder when 23 is divided by b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -3*s - 14. Let x be p(-6). Suppose 7*m - x*m - 90 = 0. Let r = -23 + m. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/13, -1\/21, 12?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4255?\nAnswer: 5, 23, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1 - (-1 + (-6)\/3). Suppose 2*m - 8 + d = 0. Let o(q) = -3*q + 1. What is o(m)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 23 - 16. Let x = -11 + b. What is the second biggest value in x, -1, 0.4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 7*f**2 + 5256*f. Let p(d) = 3178*d. What is p(v(c))?\nAnswer: 22246*c**2 + 16703568*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 3*f + 479 = 0, 0 = 4*h - 6*f + 8*f + 454. Let t = h - -112. What is the third biggest value in 6, 2\/13, -0.4, t?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 514812, 514801, 514776, 514731, 514660, 514557, 514416, 514231?\n\"Answer: -g**3 - g**2 - g + 514815","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4 + -3*(-48)\/9. Suppose 0 = -i + 2*i + g. Is i > -21?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 13*g**2 + 2*g**3 - 23*g**2 - 13*g**4 - 52*g**4 - 2 + 0*g**3 + 15*g**2 to i*g**2 + d*g**3 + c*g**4 + a*g + o and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*x = -4*x + 90. Suppose 0 = -4*t + 13 + 15. Find the third derivative of t*m**2 + 0 - x*m**3 - 6 + 6 wrt m.\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 106492994799 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -0.12 (b) 2\/7 (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p. Calculate f(9).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -192495188 divided by 3611?\nAnswer: -53308","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1862*f = 1849*f + 5*d - 161, 2*f - 7*d + 3*d = -112 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 15\/4 of a litre?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-888)\/(-63)*3 - 4\/14. Suppose a = 5*f + f. Determine y so that 5 + 15*y**2 + f*y - 5*y**3 - 5 - 17*y = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 * -0.807377.\nAnswer: -4.036885","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 585.019291 rounded to zero dps?\nAnswer: 585","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 588 minutes after 6:50 AM?\nAnswer: 4:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 16.2696 seconds in minutes?\nAnswer: 0.27116","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 35100400793 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1774*(-3 + 49\/14).\nAnswer: 887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1576424243 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jooxjjxjooooooxooooo. What is prob of sequence oo?\nAnswer: 39\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 10*g + 45 = 0. What is the least common multiple of g and -2 + 0 + (-4 - -8)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 845*d - 121 = -m + 876*d, m - 2*d = 5 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = -3*o + 12*o. Suppose -2*f + 482 = -5*l - 95, o*l = -f + 282. What are the prime factors of f?\nAnswer: 2, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1102?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Are -0.1 and -62503 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14 + 4*m**3 + 14)*(-6 - 3 + 3)*(4*m - 6*m + 0*m).\nAnswer: 48*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3435878702*g + 84*g**2 - 3435878702*g.\nAnswer: 84*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2072931166?\nAnswer: 2, 23, 45063721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2540 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 224.0711 to the nearest 10.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the third derivative of t**5\/60 + t**4\/4 + t**3\/6 + t**2. Let j be d(-8). Let f = j - 8. List the prime factors of f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 3*m = -8. Suppose 4*o - 59 = -3. What is the remainder when 35 is divided by o + m\/(-2) + -1?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1106*k - 27457 = -1239 + 9174 for k.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i - 2. Let p(n) = -6*n + 11. Let a(d) = 6*p(d) + 33*y(d). Let t(r) = 9*r. Determine t(a(l)).\nAnswer: -27*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -743 - -753. Suppose -66 = -h*c + 124. What is the highest common factor of 1862 and c?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*k + 2*k - 4*k)*(7 + 7 + 0) in the form j + s*k and give s.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (5\/(-10))\/(-5 + 7). Let a be 22\/18 - (0 - -1). What is the third smallest value in 3\/4, a, q?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-57 - -58) + ((-5)\/((-10)\/(-8)))\/5. Which is the nearest to 0? (a) 1\/2 (b) 3 (c) x (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2785)\/45*3\/(-2). Let o = m - 113. What is the common denominator of -1 - 6*14\/27 and o?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 759096?\nAnswer: 2, 3, 13, 811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 4*y - 92. Let s(k) = k**2 + 356*k + 1413. Let m be s(-4). Give f(m).\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 11 + -13. Let i be (c - -5)\/(21\/35). Let r be i\/(-2)*(1 + 1). Sort -4, r, -2.\nAnswer: r, -4, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9\/42*8)\/(42285\/(-39466))*3*20.\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -8204715 or -8204712?\nAnswer: -8204712","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/5 in 13\/55, 1, -617?\nAnswer: 13\/55","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/(f\/f**(-6)))\/f)\/f*f*f**(-1\/7)\/f assuming f is positive.\nAnswer: f**(-57\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 2*r = -11113, -4*j = 15*r - 19*r - 14844. List the prime factors of j.\nAnswer: 11, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the first derivative of -x**2 + 404. Let q(c) = c - 212. Give q(l(h)).\nAnswer: -2*h - 212","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the first derivative of u**4\/4 + 2*u**3\/3 + u**2\/2 + u + 642. Let o be 2\/1*(-2)\/(-4). Let h be ((-1)\/2)\/(o\/6). Determine k(h).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4, 16, 52, 124, 244, 424, 676, 1012?\nAnswer: 1444","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-22)\/(-33))\/(1\/(-54)). Let g = 36 + n. Sort g, 8, 5 in increasing order.\nAnswer: g, 5, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((sqrt(112) + 0)**2 + -3)*-2.\nAnswer: -1308","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -604, -607, -620, -649, -700, -779?\nAnswer: -892","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - w + 4*v - 11280 = 0, 3*v = -4*w - 8993. Is (10\/8)\/((-1)\/w) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p and 1 a when three letters picked without replacement from mmoammmpmopomoom.\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(1 + sqrt(3))*-2.\nAnswer: 2 + 2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0477845 rounded to 4 dps?\nAnswer: -0.0478","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -15 - -11. Let j(y) = y**2 + 3*y. Let o be j(-3). Let n = -1 + o. Put 0, l, n in increasing order.\nAnswer: l, n, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -110, -2956, -10674, -25700, -50470, -87420?\nAnswer: -138986","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -2*c**2 - 2*c + 3. Let h(f) = -f**2 - 7*f - 15. Let p be h(-5). Let b(s) = s**2 + s - 1. Determine p*b(u) - 2*x(u).\nAnswer: -u**2 - u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(-126)*-6*7\/(-7)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -3 + -1 + 3\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -65 - 3?\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1849886 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3) + sqrt(9)\/(sqrt(3)*2) + sqrt(3) + (sqrt(30)\/sqrt(2))\/sqrt(5))**2.\nAnswer: 147\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.127 minus 21.7149329?\nAnswer: -21.8419329","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 483 = 5*g + 4*x, -99 = -g - 3*x + x. Solve 0 = g*c - 92*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -31 + 69. Let i = j - 85. Let p = 95 + i. List the prime factors of p.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*a + 12 = -12. Suppose 0 = -4*r + a*t + 48, 0*r + 4*r + 5*t = 20. What is the least common multiple of 26 and r?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*a + 1090 = 27*a. Is 40 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1 + 3312110000311?\nAnswer: 3312110000310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = 3*m, 4*r + 4*m - 31 = -r. Suppose -r*k - 4 = -5*k. Let a(g) = 4*g + 4. What is the lowest common multiple of k and a(3)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.011179 + -7.653.\nAnswer: -7.641821","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -5*j + 2. Let i be z(-2). Suppose 2*n - 6 = -3*q, -3*q = -5*n + 3 + i. Solve q = -u - 3 - 2 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 720386?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -67081\/5 + 12924. Let r = -495 - x. Let j(w) = w**3 + 2*w**2 - 4*w - 5. Let m be j(-3). Which is smaller: m or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4563, -4561, -4559, -4557, -4555?\nAnswer: -4553","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -2\/9 (b) -0.023 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q - 5. Let o(d) = d**3 + 5*d**2 + 4*d. Let r be o(-3). Let y = r - 29. Let t = -19 - y. Determine l(t).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -251808 by 183.\nAnswer: -1376","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - n + 2735 = 0, -70*i + 74*i - 4*n = 5476. Does 4 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -7*m**2 + 637*m - 1274. Calculate k(89).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 15496 and 2718952.\nAnswer: 1192","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 109\/30 and (-48 + 1)*(-2 + -1)\/(-9).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -25873 + 1009114\/39. Find the common denominator of 36\/481 and d.\nAnswer: 1443","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1*(-2)\/(-4)*0. Suppose -m + 11 = n, 3*n + 3 = 5*m + 68. Suppose n = -4*k - 3*b, t = 3*k + b + 5. Solve -l - 1 + 0 = k for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 218 = 4*k + 63, 0 = -4*t - 20. Let a = -41 + 101. Suppose -5*f + a = -f. Calculate the highest common factor of f and k.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n**2 + 11*n + 5. Let r be (-86)\/8 + (22\/8 - 3). Determine z(r).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*i**4 + 2556*i**3 - 520*i + 49 wrt i.\nAnswer: 24*i**2 + 15336*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/5 of a litre in millilitres?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x\/((((x\/x**4)\/x)\/x)\/x)*x)*x)**15*(x**4\/x)\/(x*x\/x**5) assuming x is positive.\nAnswer: x**(-84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 164 = 3*j + 5*i, -5*j + 3*i = -0*j - 228. Suppose -j = -3*h + h. What is the greatest common factor of 8 and h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/4*3\/(-12).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 4*r - 3)*(3*r - 4*r + 2*r) + 6*r**2 - 47*r**2 - 14*r**2.\nAnswer: -51*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*k + 32 = 326. Let f(o) = -5*o - k*o + 28*o. Let n(w) = 7*w + 5. Let z(d) = 6*d + 4. Let y(b) = 4*n(b) - 5*z(b). Calculate y(f(r)).\nAnswer: -4*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1 + 1)\/8 - 0. Suppose 26 = -33*f + 34*f. Let i be f - 33 - (-32)\/5. Which is the biggest value? (a) -1 (b) 0.5 (c) i (d) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 605.5618mg to kilograms.\nAnswer: 0.0006055618","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00011855 to six dps.\nAnswer: 0.000119","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6594679 to the nearest integer?\nAnswer: 188","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 - (11\/((-110)\/190) + 10 + 20)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 113304 to the power of 1\/2, to the nearest integer?\nAnswer: 337","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -63 in 5\/6, -1\/2, -2\/3, 2?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15170 + 5058 - 6*h + 5055 + 5057.\nAnswer: -6*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = 4*g - 0*b + 3*b, 5*g - b = -20 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3287 - -3520. Calculate the remainder when f is divided by 119.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (20706\/(-120))\/29 - 3\/4 and -41\/130.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the second derivative of -m**3\/2 + 41*m. Let d(v) be the third derivative of 37*v**5\/60 - 279*v**2. Calculate t(d(j)).\nAnswer: -111*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*w + 14\/11*w**2 + 0 + 2\/11*w**3 = 0 for w.\nAnswer: -7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -12*c**2 - 35*c - 4. Let d(l) = -3*l**2 - 2*l - 1. Determine -5*d(k) + x(k).\nAnswer: 3*k**2 - 25*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1443 is divided by 38?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -763 in 0.06, 1\/7, 0.04, -4, -1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.01788 + 0.13788. Which is the nearest to 4\/9? (a) -0.3 (b) t (c) 2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.601283 micrometers to meters.\nAnswer: 0.000001601283","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (12\/10)\/((-42)\/(-140)). List the prime factors of 40 + 3\/3*t.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.05*-21.9.\nAnswer: 1.095","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 22575, 22585, 22597, 22611, 22627, 22645, 22665?\n\"Answer: q**2 + 7*q + 22567","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -22291, -44548, -66839, -89164, -111523?\nAnswer: -133916","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wtvtttv. Give prob of sequence ttw.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) 1 (b) 16606\/5 (c) -0.5 (d) -341\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -409, 2360, 9847, 24410, 48407, 84196, 134135, 200582?\nAnswer: 285895","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -7*a. Let r(q) = -3*q - 45. Let o be r(-16). Let u = o - 7. Let l(h) = 57*h. Calculate u*l(c) - 33*y(c).\nAnswer: 3*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i\/((i*i**(1\/9))\/i)*i**(-5))\/(i**4\/(i**3\/i)))**(6\/5))**(-8\/7) assuming i is positive.\nAnswer: i**(176\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -499463, -499466, -499471, -499478, -499487?\n\"Answer: -p**2 - 499462","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:48 AM and 7:36 PM?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 3781 = -5*q, 0 = 3*n + 3*q - q - 5677. Suppose 0 = -23*d + 20*d + n. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2 - 5\/((-10)\/4). Suppose 0 = 3*i - 7 + 1. Suppose 3 = -i*x - 1. What is the closest to 1\/2 in x, d, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7062715 is divided by 28.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -2*f + m - 6*m, m = 2*f - 43. Let u be 3\/3*(4 + -1). Calculate the lowest common multiple of ((-60)\/(-14))\/(u\/14) and f.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1384886.\nAnswer: 2, 739, 937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -2*d + 9. Suppose d = -k, 3*k + 636 = 4*t - 2*k. What is the greatest common factor of 22 and t?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y**3 + 13*y**2 + 16*y - 51. What is the units digit of l(13)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*t**3 + 2*t**4 - 2*t**3)*(1235 + 855 + 4559) + 6*t**4 - t**4 - 3*t**4 to the form r*t**3 + z*t**4 + n*t**2 + b + u*t and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 104 and 22558.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 115\/74976 and 13\/111144?\nAnswer: 31564896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3353 is divided by 827?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 16 - 16. Do z and 1\/7 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 24516?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 665 is divided by 112?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/9, -2, -18\/13, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 1991*d - 43794. What is u(22)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b, 2 i, and 1 v when four letters picked without replacement from {i: 3, b: 1, v: 13}?\nAnswer: 39\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11220020201 - -2100000?\nAnswer: -11210220201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-2)*y)\/(y\/y**(1\/5))*(y*y**(-2))**(1\/44))\/(y**(-5\/3)*y**(-4\/11))**(2\/39) assuming y is positive.\nAnswer: y**(-44237\/25740)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 13911? (a) 10.4 (b) -1 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*r**2 + 7*r**2 - 8*r**2 - 11*r**2.\nAnswer: -12*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 153 and 1163610?\nAnswer: 19781370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.015141116 rounded to 4 dps?\nAnswer: 0.0151","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 5 * 0.02597919\nAnswer: 0.12989595","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/32, -60, 5, -0.1 in decreasing order.\nAnswer: 5, 3\/32, -0.1, -60","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -79*i - s + 91553 = -76*i, 3*i + 4*s - 91550 = 0. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b\/(b\/(b\/(((b*b\/(b\/(b\/(b*b**32*b))))\/b*b)\/b)*b)*b*b))\/((b**(2\/25)*b)\/b))**(3\/8))**(-24\/5) assuming b is positive.\nAnswer: b**(-7407\/125)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -516 + 525. Let f be m - (7 + (2 - 2)). Solve -2*t - f*t = 0 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 16*d - 21 + 69 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6 and 200672?\nAnswer: 602016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 81d28a (base 14) to base 12.\nAnswer: 1571122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7013031?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -8*r + 2*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -40*t**3 + 3*t**2 - 32*t. Let j(y) = -41*y**3 + 2*y**2 - 31*y. Let z(r) = -5*j(r) + 4*q(r). Find the third derivative of z(c) wrt c.\nAnswer: 270","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -3 - (5728\/15)\/(-16). Let z = -91\/5 + y. What is the common denominator of 31\/10 and z?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -52, 7, 124, 299, 532?\n\"Answer: 29*y**2 - 28*y - 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 23169, 23164, 23155, 23142?\n\"Answer: -2*h**2 + h + 23170","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 33831193 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is l in -24334\/3*l**2 + 28448*l + 46\/3*l**4 - 27048 - 2\/3*l**5 + 890\/3*l**3 = 0?\nAnswer: -23, 2, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -602*q*r*z - 2*q*r + 30*q*z - 293*q + 25*r*z - 439081*r wrt q?\nAnswer: -602*r*z - 2*r + 30*z - 293","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -597033014294 minus -0.031?\nAnswer: -597033014293.969","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.0729 (b) 4\/1237 (c) -5\/3 (d) -3 (e) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-one quarters of a millimeter in micrometers?\nAnswer: 12750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 16500719 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 11 + -34\/3. Let t = -2.89 + 2.89. Which is the second biggest value? (a) 4 (b) t (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12\/3317 less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 12 + 20310?\nAnswer: 20322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in seven quarters of a millennium?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.278709767+5\nAnswer: 4.721290233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 5039534759 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -396, -600, -946, -1434?\n\"Answer: -71*u**2 + 9*u - 334","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 158191 is divided by 46.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 376334057 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = -c - 8, z + 2*c = -4 + 2. Suppose 5*r - r - 24 = 0. Suppose 3*y = 5*u - 8, r = -y + 3*u + 2*u. Is y bigger than z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -4*m**3 + 69*m**2 - 4*m - 4. Let a(c) = 4*c**3 - 68*c**2 + 5*c + 5. Determine 4*a(n) + 5*j(n).\nAnswer: -4*n**3 + 73*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2 and 1289.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -263*a + 5*j + 45 = -266*a, -4*a - 4*j = 44 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -52 + -4?\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = 705866*u - 705868*u for u.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -310 + 315. Solve 0 = 5*d - x - 8, 0 = -d - k*x + 10*x - 8 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 4*o = n - 8, -5*n = 2*o - 14. Calculate the greatest common factor of n and 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 501 minutes before 10:45 AM?\nAnswer: 2:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nbddyynydnyldnd. What is prob of sequence ynn?\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -2*v**2 + v - 1. Let c(z) = z**2 - z + 1. Suppose 1 = y - 2*y. Give y*c(b) - p(b).\nAnswer: b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j**3 - 11*j**2 - 6*j - 10. Let c be m(-11). Let k = -7 + c. Suppose -3*u = -58 + k. Does 3 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -15*r**3 + 4*r - 6. Let c(h) = 14*h**3 + h**2 - 3*h + 5. Give -6*c(k) - 5*i(k).\nAnswer: -9*k**3 - 6*k**2 - 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(1300)*2*-2)\/((sqrt(8)*1*-6)\/(4*sqrt(2)*1 - sqrt(2))))**2.\nAnswer: 11700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 67?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -27 - 337. Let v = z + 380. What is the greatest common divisor of 1024 and v?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of m**3 - 2614*m**4 + 10*m**3 + 2 + 2612*m**4 + 3*m wrt m?\nAnswer: -24*m**2 + 66*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*i - 2*i + 126*i)*(-3*i**2 + 4*i**2 + 3*i**2 + (-2*i - 2*i + 6*i)*(2*i - i - 2*i)).\nAnswer: 238*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y. Let m(v) = -64*v**2 + 350. Give k(m(i)).\nAnswer: 64*i**2 - 350","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 10 (b) 5\/59 (c) 1\/4 (d) 1 (e) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 8847355 to the power of 1\/5, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen fifths of a litre in millilitres?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**3\/s*s**(-5\/2)*(s**(-2\/5)*s)**27*(s\/(s\/(s**1*s)))**29*s**2*s**(-1\/5) assuming s is positive.\nAnswer: s**(151\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 25742752 and -0.08?\nAnswer: 25742752.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(500) + 3 + -5)*-3)**2.\nAnswer: -360*sqrt(5) + 4536","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 50 and 3413550?\nAnswer: 3413550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((h*h**(-5))\/(h*h**(-6)))**(2\/11))**(-36))**(-50) assuming h is positive.\nAnswer: h**(3600\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 31\/6 - (-28)\/(-504)*-15. Let z(p) = -6 + p**3 + 6*p - 4 - 7*p**2 + 2. Let t(b) = -17*b + 13 + 10 - b**3 - 2*b**3 + 20*b**2. Determine l*t(w) + 17*z(w).\nAnswer: -w**3 + w**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -933, -923, -887, -813, -689, -503, -243, 103?\nAnswer: 547","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the third derivative of 0*l**3 - 1\/300*l**6 + 0 + 3*l**2 - 1\/30*l**4 - 1\/50*l**5 + 0*l. Let b(z) = 0. Calculate z.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 10 - -15. Let g = -79\/3 + c. What is the nearest to g in -4\/7, 1, -5?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*a + a - 3*a - 2*a + 27 + a in the form q + j*a and give q.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = s - 20 - 81. Suppose -4*a = 3*b - 6*a - s, -3*b = 3*a - 126. What is the units digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 17 - 65. Let l = 48 + c. What is the smallest value in -0.1, -2, l, -1\/4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 4 + 3)*(-63*g - 9*g**2 + 63*g).\nAnswer: -45*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3391*x - 1692*x - 1698*x.\nAnswer: x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*i**3 + 586985*i**2 + 352200*i = 0. Calculate i.\nAnswer: -3\/5, 0, 23480","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 77*c**4 - 57*c.\nAnswer: 924*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -97 + 125. Which is bigger: 30 or o?\nAnswer: 30","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 32 + (-117288)\/3600 + (-63)\/(-210)\nAnswer: -7\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.3, 2, -53, -0.7?\nAnswer: -53","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by 830.\nAnswer: 3\/830","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o**3 - 20*o**2 + o - 26. Let c be g(20). Let k be 1 + 8\/c + (-21120)\/(-72). Let t = 441 - k. What is the tens digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10712?\nAnswer: 2, 13, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 63073553 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 318 + -310. Let t = -1757\/6 - -902\/3. Is v <= t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3 - (16\/56 + (-60)\/14). Let l(d) = -d**2 + 7*d + 4. Give l(y).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*b - 62*b + 9791 = 351*b - 21604 for b.\nAnswer: 69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 86\/3135 and 181\/1424940.\nAnswer: 27073860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1207 divided by 2150?\nAnswer: 1207\/2150","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 20543 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-78)\/(0 - 6\/(-4)). Let l be t\/14 + (-8)\/28. Let z = l - -14. List the prime factors of z.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5227678 to the power of 1\/3, to the nearest integer?\nAnswer: 174","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 5327312689 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t**2 - 14*t + 21. Let j be u(12). What is the second biggest value in 2\/7, j, 0.06?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q - 5 = i, -5*q + 25 = -18*i + 13*i for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 11120 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: Solve 11 = -7*y - 5*a, -120*a + 123*a + 27 = -11*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 - 8*i + 28*i - 17*i - 10*i + 1 in the form k*i + o and give o.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 20 = -4*t + 8*t, t + 5*a - 22 = 0. Solve 3*p + t = -y, 4*y - 9 = p + 4*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the second derivative of -3*i**5\/20 + 113*i**4\/4 + 276*i**2 + 287*i. Differentiate q(j) with respect to j.\nAnswer: -9*j**2 + 678*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 174 - 171. Let y(t) = -3*t - 2. Let o(r) = r**2 + 6*r - 9. Let x be o(-7). Let v be y(x). Solve 15 = 5*g, -v*g + 18 = s*p - 0*g for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -492.9711 + 493. What is m rounded to two dps?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (120\/18)\/(25\/3060*17)\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.9623 and 31820.\nAnswer: 31820.9623","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-7)\/j)\/j)**(-1\/17)\/(j**(-5)*j*j**(-3)*j) assuming j is positive.\nAnswer: j**(111\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1175460 divided by 274.\nAnswer: 4290","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 559.53 to the nearest one hundred.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -1226*u - 922. What are the prime factors of y(-7)?\nAnswer: 2, 5, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by 29?\nAnswer: -1\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u**2 - 5*u + 3. Let l be a(5). Let w = -41 - -43. Which is smaller: l or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i**3 - 6*i**2 - 7*i - 7. Let l be y(-5). Suppose t = -l*t. Let s(r) = -2*r + 21. Let f be s(8). Solve 3*w + 2*c = 8, t = -2*w - f*c + 4 + 5 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1873, -7503, -16893, -30049, -46977, -67683, -92173?\nAnswer: -120453","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 14 = -2*h + 7*h, -4*h = -5*p + 4. Let d be (8\/h)\/((-12)\/18). Sort 0.2, d, 0 in ascending order.\nAnswer: 0, 0.2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -70 + 70. Suppose -w = -k*n + 2*n - 108, 5*w - 3*n = 540. Calculate the remainder when w is divided by 31.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the first derivative of 4*v**3\/3 - 20*v**2 + 36*v - 19. Factor n(m).\nAnswer: 4*(m - 9)*(m - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23 - 23 + 741*x.\nAnswer: 741*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -33.9 - -34. Which is bigger: d or 153?\nAnswer: 153","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = f - 3202, 2*v + f + f = 2140. List the prime factors of v.\nAnswer: 2, 13, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence svuu when four letters picked without replacement from {s: 4, u: 5, v: 5}?\nAnswer: 50\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 81.98406 millimeters?\nAnswer: 8.198406","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 90109?\nAnswer: 251, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5032607?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 85623.19 micrograms to kilograms.\nAnswer: 0.00008562319","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*o**6 + 45*o**4 + 13*o**3 + 10414*o**2 + 17*o**4 - 8*o**3 + 0*o**6 + 192*o**4 wrt o.\nAnswer: 240*o**3 + 6096*o + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 54\/2*9*16\/(-432).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/4*(-552)\/483?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 7b (base 15) to base 9\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 34362326 - -534503?\nAnswer: 34896829","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 21.1, 0.3 in increasing order.\nAnswer: -5, 0.3, 21.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -3*v**2 - 5 + 5. Suppose 5*y + 15 = -5*j, 7 = -3*j + 4*y + 33. Let w(h) = -7*h**j - h**2 + h**2 + 5*h**2. Calculate l(w(z)).\nAnswer: -12*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 869.448 centuries in months?\nAnswer: 1043337.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 16\/(-5) + (-20)\/25. Put 2, m, 8 in decreasing order.\nAnswer: 8, 2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34141 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9934522?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 21 and 987.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 175, 320, 467, 616, 767?\n\"Answer: u**2 + 142*u + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0\/(-1) + 2 + 0. Suppose -t*f = -4*f. Suppose f*q + q - 18 = 0. Is q a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y**3 - 4*y**2 + 3*y + 1. Let g be i(3). Let j(h) = h**2 + h**2 - h - 3*h**2. Let f = -3 + -2. Let s(q) = -3*q**2 - 7*q + 1. Give f*j(d) + g*s(d).\nAnswer: 2*d**2 - 2*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -9*f + 9. Let i be (-188)\/108*3 - (-4)\/18. What is the remainder when u(i) is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9\/(-12)*-2)\/(27\/(-18)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*a = -140 + 175 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -61*j = 3*j - 1984 for j.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 31298749 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 8, -40, -126, -250, -412?\n\"Answer: -19*u**2 + 9*u + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000082818 rounded to 6 dps?\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 * -236942836\nAnswer: 118471418","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -2*h**2 - 17*h + 14. What is a(-7)?\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 113 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00435033385 rounded to 7 dps?\nAnswer: 0.0043503","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 113 a factor of 3613666?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + (6 - 7) - -8.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3103 (base 4) in base 11?\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 433304119 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -561 divided by 187.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u**3 - 4*u**2 - u + 3. Let z be m(-3). Let x(p) = -407241*p + 1. Let s be x(z). Let l = 811724 - s. Round l to the nearest 100000.\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 802706927?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -2*i**2 + 3*i - 11. Determine b(-4).\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1 - 1)\/(-6 + 8). Suppose l = 6*h - 7*h + 170. Suppose 100 + h = 5*o. What is the units digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(2\/45)\/(l**(-8)*l)*((l**(-1\/4)*l)\/l*l)\/l*(l*l**(-2\/35))\/l assuming l is positive.\nAnswer: l**(8489\/1260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -5*l**2 + 4*l - 4. Let w = 14 + -10. Let b(p) = -11*p**2 + 9*p - 9. Suppose 8 = 3*z - 19. Let v be 83\/(-9) - (-2)\/z. Give v*y(q) + w*b(q).\nAnswer: q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -18*w**2. Let j(y) be the third derivative of -49*y**4\/24 + 870*y**2. What is n(j(z))?\nAnswer: -43218*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1381739 is divided by 460518.\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1*2)\/(4\/4). Suppose -14 = -q*k - 2. Solve 0*y = 3*y - 3*h + k, 4 = -5*y + 2*h for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d**3 + d**2 - d - 1. Let u be 2\/(-8) + 111\/(-148). Let s(a) = 8*a**3 - 3*a + 7*a**2 - 3 - 2 - a**3. Give u*s(j) + 5*h(j).\nAnswer: -2*j**3 - 2*j**2 - 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -3, 42905\/3, 49?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-7 + 1)\/(210\/180) + 5. Which is the smallest value? (a) 1\/3 (b) 1 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1332*a**2 + 11*a + 46203 wrt a?\nAnswer: -2664*a + 11","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 2*j. Let h be -2 + 8\/1 - 3. Let x(z) = -z + 2*z + z + h*z. What is o(x(s))?\nAnswer: 10*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 minus -11.09?\nAnswer: 7.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 11*o + 11. Let r(c) = 41*c + 34. Let q(t) = 7*p(t) - 2*r(t). Calculate q(3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 138600 and 25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*v + 3 - 7, -r + 63 = 4*v. Calculate the remainder when 163 is divided by r.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 188.6 * -1.1\nAnswer: -207.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -539 = -2*p + t + 2*t, 2*p = -5*t + 531. Find the common denominator of p\/(-60) - (-4)\/6 and ((-3)\/2)\/(33\/(-100)).\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(8\/(-2) - (-25 - -20))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.8772 and -0.1137.\nAnswer: -0.09973764","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1936 divided by 44.\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*i**2 - 3*i + 11*i**2 - 5*i**2 - 3*i**3 - 1 in the form c*i + p + k*i**3 + u*i**2 and give k.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 343094 to the power of 1\/3, to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -26*y - 75. Let k be r(-3). Suppose 2*l + 2*x = 950, -2*l + 950 = -0*l + k*x. What is the units digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34216 = 309*l + 574*l - 155*l for l.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -457.9092 - 0.0908. Let a = o + 462. Sort a, 0.05, 1, 3 in decreasing order.\nAnswer: a, 3, 1, 0.05","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 306 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 36886898 or 36886897?\nAnswer: 36886898","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 70 and 854?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that -s**3\/6 - 22889*s**2\/3 - 91549*s\/6 + 22888 = 0.\nAnswer: -45776, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -2*z + 5. Calculate f(-2).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 35*v + 36. Let m be q(2). Calculate the highest common factor of 583 and m.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -278*c + 273*c = -s + 26, 89*c - 3*s + 153 = 59*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/((-9)\/(-18)*1*-4).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-2\/5))**(-2\/129)\/(l\/((l*l**(-2))\/l))**49)**23 assuming l is positive.\nAnswer: l**(-2180653\/645)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 26, 238, 812, 1928, 3766?\nAnswer: 6506","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 0 times -1291360\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.8 - 0.2. Suppose -2*m + m - 4 = 0. What is the closest to g in 0.2, m, 4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l + 1. Let h be x(5). Let t be (45\/h)\/(3\/(-4)). Let b be ((-8)\/t)\/(10\/(-25)). Let u(c) = 2*c + 2. Let z(r) = 2*r + 3. Determine b*z(g) + 3*u(g).\nAnswer: 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 342 + -344. Which is the third smallest value? (a) 3 (b) l (c) -5\/4 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -129 - -188. Suppose 5*z + 3*l - 8*l - 35 = 0, -4*z = -l - 13. Factor 63 - z*d + 2*d - n - 4*d**2.\nAnswer: -4*(d - 1)*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1 - -543) + -6*14\/21. Suppose c = 2*s - 5*t, -s + 6*t - 11*t + 285 = 0. List the prime factors of s.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -1 + sqrt(17) + sqrt(17) - (1 + sqrt(17))*3.\nAnswer: -sqrt(17) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 296 + 88 = 4*l. Suppose h + 2*h - l = 0. List the prime factors of h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -21 + 17. Let d(v) be the second derivative of v**3\/6 + 7*v**2\/2 + v. What is the units digit of d(t)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1965446?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 1, q: 1, b: 2, k: 1}. Give prob of sequence qcb.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 841?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.5 (b) -22436 (c) -3\/8 (d) 3 (e) 5 (f) -7 (g) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1092 and 8765757.\nAnswer: 273","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/2*308\/56 + 8\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 82437 to the nearest integer?\nAnswer: 287","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y**2 - 12*y + 1. List the prime factors of c(-6).\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -2*o - 10. Suppose -4*g + 249 + 497 = 2*x, o = -3*x. What is the highest common divisor of 11 and g?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5456041?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3565*u - 3567*u - 2*b + 2 = 0, 0 = -2*u + 4*b - 28 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -168 - -173. Let l be 442\/85 - 1\/r. Solve 20 = -10*u + l*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -86733.78 to the nearest ten thousand.\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 946 = w - 322. Suppose -8*t + 4101 = -291. Let v = w - t. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -431 - 1892*q - 1575*q + 415.\nAnswer: -3467*q - 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.1 - -1.082. Let a = 1.1434 + -1.125338. Let p = f + a. What is p rounded to 5 decimal places?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1121*c + 504*c - 71449 - 9801 = 0 for c.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the first derivative of -3*f**4\/4 + 2*f**3 - 3*f**2\/2 + 43. Factor n(d).\nAnswer: -3*d*(d - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 18*g + 240. Let f be k(-13). Sort -3, f, 3, -5 in descending order.\nAnswer: f, 3, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 121 and 6670367?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -142*n**2 + 7*n + 23. Let c(b) = 148*b**2 - 6*b - 21. Give 5*c(x) + 4*h(x).\nAnswer: 172*x**2 - 2*x - 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 4884?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12 + 2 - 9)*(h**3 + 26 + 2*h**5 - 4*h**5 - 24 + 2*h).\nAnswer: 38*h**5 - 19*h**3 - 38*h - 38","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 22602279 = 22602275?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*f**4 - 126*f**3 - 219*f**2 + 468*f + 1188 = 0 for f.\nAnswer: -22\/5, -3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -6 (b) -5 (c) 0.4 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 1010101111101101 (base 2) to base 10\nAnswer: 44013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the third derivative of h**5\/36 - 5*h**3\/2 + 66*h**2. Let s(n) = 0. Calculate n.\nAnswer: -3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-218*w**3 + 7*w**2 + 1 + 213*w**3 + 12*w**2)*(-55*w + 55*w + 19*w**2).\nAnswer: -95*w**5 + 361*w**4 + 19*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - 1 - -9) + -4?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -9.65756 to one decimal place.\nAnswer: -9.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 606, 602, 598, 594, 590, 586?\nAnswer: 582","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 12\/(-8)*88\/(-12). What is the third derivative of c*z**2 - 4*z**2 + 2*z**3 + 0*z**2 wrt z?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the third derivative of b**7\/735 + 71*b**6\/105 + 10223*b**5\/105 + 3337*b**4\/7 + 6627*b**3\/7 - 2*b**2 - 397. Determine z so that r(z) = 0.\nAnswer: -141, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*m**2 - 2*m**2 - 2*m**2 + 2*m**2.\nAnswer: 2*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e and 2 u when four letters picked without replacement from uukeueeuueuuu?\nAnswer: 168\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3196.\nAnswer: 2, 17, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 48926?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y - 1. Let g(o) = o**2 - 5*o + 6. Let b(j) = -j + 1. Let i(q) = 5*b(q) - g(q). Let s(c) = -i(c) + z(c). Factor s(l).\nAnswer: l*(l - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -34 - -32. Let p(o) = 2*o**2 + 2*o - 2. Determine p(y).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.31 - -2.09. Which is the nearest to -0.2? (a) s (b) -2\/5 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 3, -525 in descending order.\nAnswer: 3, 1, -525","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(832)*-5 + sqrt(832))**2*-2 + -3 - (sqrt(104) + -1*sqrt(104)*6 + sqrt(104) - sqrt(104))\/(sqrt(80)\/(sqrt(10)*-2) + sqrt(8)).\nAnswer: -26627 + 10*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*v + 9*v = -9. Let k(w) = -2*w - 62*w**2 - 56*w**2 - v + 117*w**2. Let j(f) = 3*f**2 + 3*f + 19. Let p(d) = 2*j(d) + 5*k(d). Give p(5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 231 minutes after 4:18 PM?\nAnswer: 8:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/8 of a microgram in nanograms?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01287051 rounded to 4 decimal places?\nAnswer: 0.0129","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2 + -3031311303?\nAnswer: -3031311311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/9? (a) -0.3 (b) -1 (c) 8 (d) -14.84 (e) 3\/4 (f) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is u in u**5\/2 + 3*u**4\/2 + 3*u**3\/2 + u**2\/2 = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34 + 28 = 2*p. Let a = 28 - p. What is the third biggest value in -0.3, 3\/11, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 5.16888064 and -0.5?\nAnswer: 5.66888064","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 88 - -342. What is the hundreds digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 q when three letters picked without replacement from {q: 12, f: 6}?\nAnswer: 55\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 minus 56665?\nAnswer: -56663","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 8c3 (base 14) to base 16\nAnswer: 6cb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jy when two letters picked without replacement from {y: 3, j: 15}.\nAnswer: 5\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -82 - -137. Suppose 0 = 2*m - 5*m + 66. What is the greatest common factor of z and m?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 478.\nAnswer: 2, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 112\/390 - ((-329)\/(-105) + -3). What is the smallest value in 0.4, -13, c?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 72 divide 111545?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x**4 + 2*x**3 - 1. Let k(r) = 3*r**4 + 4*r**3 + r - 3. Let u(v) = 4*k(v) - 10*q(v). Factor u(w).\nAnswer: 2*(w - 1)**3*(w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 514541 and 296355?\nAnswer: 177516645","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 29384 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: Four letters picked without replacement from {z: 4, x: 2, b: 6}. Give prob of picking 4 b.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the third derivative of 1\/12*s**4 + 0*s + 1\/180*s**6 + 0 - 4*s**2 - 1\/9*s**3 - 1\/30*s**5. Factor j(a).\nAnswer: 2*(a - 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b**2 - 7*b + 5. Let s be m(-6). Let t = -18 - -11. Let y = s + t. Calculate the lowest common multiple of y and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -l**3 + 2*l**3 + l**3 - 3*l**3.\nAnswer: -l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/((-11)\/(396\/(-27)))*-11*3\/12.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 38226407?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 168938 is divided by 16.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 plus 0.020267333175?\nAnswer: 101.020267333175","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 13) to base 9\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 412?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 39900 divided by -9975\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 2*x = -50. Suppose -4*o + o - 69 = 0. Let n = -4 - o. Calculate the remainder when n is divided by x.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2535.3 to the nearest 1000.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the second derivative of -n**7\/399 - 4*n**6\/285 - n**5\/190 + n**4\/19 - 21*n + 25. Determine q so that m(q) = 0.\nAnswer: -3, -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*o**3 - 9*o**2 + 6*o.\nAnswer: -3*o*(o + 2)*(2*o - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 13*u + 2. Let d(a) = -1. Let f(w) = 2*d(w) - s(w). Let g(x) = 13*x + 5. Let b(c) = 5*f(c) + 4*g(c). List the prime factors of b(-1).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 212741 - 106370 + 366*g**2 - 365*g**2 - 106371.\nAnswer: g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (s**2 + 0 + 2*s + 0)*(314 - 3*s**2 - 314 + 638*s) to m*s**3 + k + d*s**2 + g*s**4 + n*s and give g.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 115.8907 rounded to 1 decimal place?\nAnswer: 115.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 3 = -4*l - 8*j, l + 5*j = -3. Let k(v) = -v - 1. Let w be k(-4). Suppose -20 = -w*x - 5. Sort 1, x, l in decreasing order.\nAnswer: x, l, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 187003 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9254 and 84.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 43 is divided by 19?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.7 + 2.8. Let q = p - 4. Put 1, 0.4, q in descending order.\nAnswer: 1, q, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/4 (b) -6\/17 (c) -4\/25 (d) -12 (e) 1\/2 (f) 2\/23\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 43\/18980 and -34\/345?\nAnswer: 1309620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 131 - 86. What is the units digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 185100 and 146?\nAnswer: 13512300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 22843 to the nearest integer?\nAnswer: 151","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -156*d**2*x**2 + 110701*d**2*x - 44461928*d**2 wrt x.\nAnswer: -312*d**2*x + 110701*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 52608 to the power of 1\/2, to the nearest integer?\nAnswer: 229","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2 + (-12)\/20 + -1. Factor 2\/5*y**4 - h*y**3 - 2\/5*y**2 + 2\/5*y + 0.\nAnswer: 2*y*(y - 1)**2*(y + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5 and 1895?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (153*v + 126*v - 133*v)*(v**3 - 7*v**3 + 4*v**3) - 3*v**4 + 5*v**4 - 3*v**4 to d*v**2 + r*v**3 + q + c*v + m*v**4 and give m.\nAnswer: -293","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:16 AM and 3:44 PM?\nAnswer: 688","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**3 - 24833788*i**2 - 49667582*i - 24833792.\nAnswer: 2*(i - 12416896)*(i + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = 5*y + 29, 0*b + 28 = 5*b + 2*y. Solve -4*k**2 + k**2 + 9 + b*k - 12 = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4)\/(-6) - (-42)\/(-9). Let i(p) = 2*p**2. Let w(r) = -r**2. Let m(b) = j*i(b) - 7*w(b). Let c(d) = d**2 + d**2 - 3*d**2. Calculate m(c(l)).\nAnswer: -l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -43, -58, -79, -106, -139, -178, -223?\n\"Answer: -3*v**2 - 6*v - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - 1 - 312\/76?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 3*j**2 + 5*j. Let w be d(-2). Suppose -c + w = 1. Let t(b) = -b**2 - 5*b + 4. Calculate the smallest common multiple of c and t(-5).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 462.0984 + -0.0984. Let g = 460 - z. Which is the fourth smallest value? (a) 0.5 (b) -31 (c) g (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r + 8 = -1 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from byr. Give prob of picking 1 b, 1 y, and 1 r.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1\/11089572 + -88788659275\/11721677604. Let g = u + 76\/151. Calculate the common denominator of g and 13\/20.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -4 (b) -2\/15 (c) -2\/189 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 72 - 72. Solve 3*k = -4*v + 24, -5*k - v + 10 + 13 = t for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2588?\nAnswer: 2, 647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m**3 - 8*m**2 - m + 7. What is p(8)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the third derivative of -y**6\/120 + y**5\/30 + y**4\/24 + 7*y**2. Let x be l(2). Suppose 213 = x*u + 63. Does 25 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -73 (base 11) in base 5?\nAnswer: -310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 118 + -118.4. Which is smaller: p or -1\/5?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 84 divide 3528?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -4*n**3 - 80*n**2 + 5*n + 102. Let y be v(-20). Solve -3*s = -3*k - 0 + 9, s + y*k = 12 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:10 AM and 10:05 AM?\nAnswer: 595","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*f**3 + 3*f**3 + 8*f**3 + f**3 - 16*f**3.\nAnswer: -2*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -234*s + 10221 = -12243 for s.\nAnswer: 96","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 127 = -2*w - 0*w, 0 = 3*i + 5*w - 414. Which is greater: i or 136?\nAnswer: 136","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 284 divide 33227738?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 27\/19779403 and 163\/42.\nAnswer: 118676418","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -60*g**2*t - 18*g**2 - 75*g*t + g + 15901252*t wrt g?\nAnswer: -120*g*t - 36*g - 75*t + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (11 - 9)\/((-4)\/(-18)). Sort o, -4, 4, -8 in decreasing order.\nAnswer: o, 4, -4, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 8\/(-6) - 6860\/(-105). Is 375*(-5 + q\/12) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4076882 divided by -2\nAnswer: 2038441","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7088080?\nAnswer: 2, 5, 41, 2161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*p - 2*p + p + 4 - 2*p - 4 + (-2*p + 4*p - 3*p)*(-3 - 2 + 4) as a + c*p and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p**3 + 2*p**2 - 7*p. Let w be v(-3). Suppose -96*o + w = -84*o. Which is smaller: 9\/29 or o?\nAnswer: 9\/29","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000596 rounded to five dps?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1216*d - 2154 = -7362 - 31272 for d.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3.8 and -2.\nAnswer: -7.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/4, 0.1, 0.4, 5, 44714 in descending order.\nAnswer: 44714, 5, 0.4, 0.1, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q**3 - 4*q**2 + 2*q - 5. Let a be s(-5). Calculate the greatest common factor of 30 and a.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -7 - -21b81?\nAnswer: 21b76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*h + 7*h - 5*h.\nAnswer: 7*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g**3 + 5*g**2 - g - 2. Let h be t(4). Let a(j) = 2*j**2 - 31*j + 56. Let i be a(2). Suppose -3*d = -7*d + 8. Solve i - h = -d*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 290972 is divided by 1590?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -382822, -765658, -1148496, -1531336?\nAnswer: -1914178","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -72.7 + 69.7. Let p = 5 + 0. Which is the closest to -3\/2? (a) 3 (b) p (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 62835439 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4 - 6. Let j be 1 + b - (-1 + -3). Sort -4, -5, j in decreasing order.\nAnswer: j, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 741991 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l**2 - 8*l - 64. Give f(13).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(847) + 0)**2 + sqrt(7))*1 + (sqrt(567)\/sqrt(9) + (sqrt(7) + -1 + sqrt(7) + 0 - sqrt(7)))**2.\nAnswer: -7*sqrt(7) + 960","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 162 = 3*h + 3*j - 3, 0 = -2*j - 2. Suppose 5*q - d - 37 - 15 = 0, -h = -4*q - 4*d. Is 11 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/10519 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fhwswnw. Give prob of sequence fn.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 9 and 815610?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 11\/8 of a millennium?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-19 - -22) + 4 + 0 + -2?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 18*h*r*y - 40*h*r + 208905*h*y - r*y with respect to r.\nAnswer: 18*h*y - 40*h - y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 29 + -231\/8. Let w(h) be the first derivative of 3 - 1\/16*h**4 + 1\/12*h**3 + j*h**2 - 1\/20*h**5 + 0*h. Solve w(k) = 0 for k.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4051 to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -69*c + 528*c + 135*c in the form z + w*c and give w.\nAnswer: 594","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 460.999672 - 461. Round p to 4 decimal places.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3874)\/(-7) + 9\/(-21). What is the greatest common divisor of p and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 2*i**2. Let r(s) = -7*s + 2. Let l(k) = 2*k - 2. Let z(c) = 12*l(c) + 3*r(c). What is j(z(t))?\nAnswer: 18*t**2 - 216*t + 648","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9161 - 9157. Solve -9*n + 6*n = -4*c + 3, -l*n - c - 4 = 0 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -4 (b) 11 (c) 10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -160 = -7*r - 146 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 98, -135, -368, -601, -834?\n\"Answer: -233*z + 331","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3 - -10. Suppose 0 = 3*o - 11 - z. Let x(w) = 2*w**2 - 3*w - 6. Let y be x(6). Calculate the highest common divisor of y and o.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -55\/16 and -37\/1432.\nAnswer: 2864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 104\/210 - (-2)\/(-5). Suppose r - 73 = -2*k, 0 + 10 = 5*k. Let m = -62 + r. What is the smallest value in m, -0.2, u?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = 3*b - 3, -b - 25 = -2*b - 5*t. Let w = -1613 - -1615. Suppose -36 = w*d - b*d. Calculate the lowest common multiple of d and 8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 35*i**2 + 38*i - 3. Let d be g(6). Suppose -7*x = -2393 - d. List the prime factors of x.\nAnswer: 2, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(78)*-5)\/sqrt(6).\nAnswer: 10*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = -3*r + d, -d = -r + 2 + 3 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 629.\nAnswer: 17, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 35021485 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*k**4 + 2*k**4 + 0*k**4)*(3 - 3 + 1)*(-1 + 1 - 3) to t*k**2 + f*k + c*k**4 + v + m*k**3 and give c.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*x**3 - 2*x**3 + 0*x**3 + (-6 + 3 - 13)*(-x**3 - 5*x**2 + 5*x**2).\nAnswer: 14*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 6456 = 2*w, -2*x + 0*w = -w - 12924. Let q = -19678\/3 + x. Let l = q - -629\/6. What is the common denominator of -69\/8 and l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 160, 159, 158, 157, 156, 155?\nAnswer: 154","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 6*x - 1019. Determine t(15).\nAnswer: -929","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 plus -219062?\nAnswer: -219062.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = -w + 10, 0 = 4*w + 4*l + 20. Let j = 6 - w. Is 6 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 17.9784252 - -0.0221248. Let v = 0.14 - 18.14. Let k = v + w. Round k to 4 dps.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.2 - 1. Let j = -0.01 + 1.21. Let x = j - r. Which is the closest to -1? (a) x (b) 3 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -29 in 3, -24\/25, -1, 2\/25?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nqpg when four letters picked without replacement from qgpgggppng.\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 699 = 3*f + 715, 5*f - s = -8. Put f, 1, 126, -4 in descending order.\nAnswer: 126, 1, f, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -28*d**6 + 8*d**4 - 22*d**2 + 8*d. Let q(k) = 19*k**6 - 5*k**4 + 15*k**2 - 5*k. Let w(y) = -5*p(y) - 8*q(y). Find the third derivative of w(t) wrt t.\nAnswer: -1440*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 70434561 a multiple of 219?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 203?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/90)\/(((-22)\/154)\/((-12)\/(-7))).\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 7617374903 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.016*-0.3.\nAnswer: 0.0048","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -52.3 + 293.3. Let f = x + -246. Put f, 0.1, -15 in descending order.\nAnswer: 0.1, f, -15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**14*u)\/u**7*(u*u\/(u\/u**(-2\/3)))**(-19) assuming u is positive.\nAnswer: u**(5\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 8 - (-3)\/6*-12. Put f, -4, 13 in decreasing order.\nAnswer: 13, f, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the third derivative of q**4\/8 - q**2. Let c(o) = -4*o + 6. Let d(s) = s - 1. Let m(k) = c(k) + 6*d(k). What is m(u(l))?\nAnswer: 6*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -21*y**4 + 684611*y**3 + 1160*y**2 + 58124 wrt y.\nAnswer: -504*y + 4107666","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 9405 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -13886 - -13881. Suppose -8*v - 15 = -3*v. Sort m, v, 33 in decreasing order.\nAnswer: 33, v, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2197994.\nAnswer: 2, 107, 10271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c, 1 d, and 1 k when three letters picked without replacement from cckd?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 1 + q + 1 - 3 + 3. Let w be 4\/14 - (-4)\/(-14). Determine u(w).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 times -2.144?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2498086*j**2*s**4 - 456870*j**2*s**2 - 3*j**2 wrt s?\nAnswer: 59954064*j**2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the second derivative of n**3\/6 - 6*n. Let p be x(2). List the prime factors of 1*p*270\/20.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17078987 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 1, t: 1, m: 1, a: 1, b: 1}. Give prob of picking 1 a, 1 t, and 1 m.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 43 - 9. Let d = -0.287 - -31.287. Let r = m - d. Sort 4, 0.06, r in ascending order.\nAnswer: 0.06, r, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.11, 3\/11, -29\/8, -6\/5?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 3\/685802?\nAnswer: 3\/685802","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -360 = 789*a - 794*a. Calculate the smallest common multiple of 88 and a.\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 7*r + 80. Let c be f(0). What is the greatest common factor of c and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7897*r**3 + 10621*r**3 - 18522*r**3.\nAnswer: -4*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 314?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-21)\/(-35))\/((-3)\/(-10)). Suppose l*b - 18917 - 29083 = 0. What is b rounded to the nearest 10000?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -1619*g - 5. Calculate l(0).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -y**2 + 0*y + 0*y + (-3*y + 3*y - y)*(-61 - 32*y + 61).\nAnswer: 31*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*m + 4*m + 2*m**3)*(0*m - m + 0*m + (-2*m - 2*m + 3*m)*(4 + 1 - 4) + 17 - 3*m - 17) + 61646*m**4 - 61647*m**4 - 31*m**2 + 188*m**2.\nAnswer: -11*m**4 + 157*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Add together -21171.62 and 481.\nAnswer: -20690.62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -284, -282, -280, -278, -276?\nAnswer: -274","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3318?\nAnswer: 2, 3, 7, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 2*a**2 + 2*a - 3. Let w(v) = -v - 2. Suppose -3*j = 3*d + 3, -5*d + 2*d - 2 = 4*j. Let q be w(j). Determine n(q).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 6 and -111820\/19 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 107932?\nAnswer: 2, 11, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -70300*t - 1616917. Give h(-23).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -3*s + 2. Suppose 20*h = 26*h - 108. What is the smallest common multiple of h and u(-6)?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 154 - 48. Let f = u + -106. Let o = 0.13 - 1.13. What is the closest to 1 in -2\/11, o, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 559 minutes before 9:22 AM?\nAnswer: 12:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 + 5 = -5*h. Let o = 14 - h. Calculate the least common multiple of o and (42\/8)\/(6\/16).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000035164137 to five decimal places.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 1348.9 to the nearest 10.\nAnswer: 1350","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.189 + -436.811. Let f = 434.23 + k. What is f rounded to 1 dp?\nAnswer: -2.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -x**2 - 3*x + 5. Let z be h(-4). Let s be ((-16)\/130)\/(18\/(-395)). Let y = s + -25\/9. Is z less than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((t*t**(11\/3))\/t*t)\/t)\/t**(-2))\/((t\/((t*t**(4\/11))\/t*t))\/t**5) assuming t is positive.\nAnswer: t**(364\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 155, 359, 603, 887, 1211, 1575?\n\"Answer: 20*u**2 + 144*u - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 10906 a multiple of 82?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -0.04 (b) 0.0167 (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:17 AM and 6:17 AM?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -156006304 - -10?\nAnswer: -156006274","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -11494234*p**3*q**3 + 35*p**3*q**2 - 3*p**3 + 51*p**2*q**2 - 28*q**2 wrt q.\nAnswer: -68965404*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 6, y: 2}. What is prob of picking 1 y and 2 k?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 3508831819 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -123\/50183978 and -163\/273234.\nAnswer: 150551934","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3118 - 1797. List the prime factors of x.\nAnswer: 1321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-19 - 21 - 11)*(0*x - 2*x + 3*x + 0 - x + 0 + (-1 + 1 + x)*(1 + 1 + 0) + 2*x + 0*x + 0*x + x + 0*x - 8*x).\nAnswer: 153*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that 2*x**2 - 1524*x + 1522 = 0.\nAnswer: 1, 761","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qgwq when four letters picked without replacement from fqoqfgfqgwffofq.\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-4)\/f*f**(-4\/3)*f*f*f*(f*f\/(f\/f**3))\/f*f**(1\/3)*((f*f**5*f)\/f*f\/(f\/(f**(-1\/4)\/f)*f*f))**(-2\/33) assuming f is positive.\nAnswer: f**(-1\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (24 - 22) + 4\/1. Let p(w) = w**3 - w**2 - 29*w + 1. Let k be p(f). Solve 27 - k = 5*z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.03 take away 0.063555158?\nAnswer: -0.093555158","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q + 1. Let z be h(-3). Let w be z - (-2 + 6 + -2). Suppose w*y - 20 + 0 = 0. What is the smallest common multiple of 12 and y?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ucmccpm. Give prob of sequence pu.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 210 + -90. List the prime factors of j.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -74 - 73 - 56 - 70 + 45*s + 277.\nAnswer: 45*s + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 27641 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*m**3*n - 30160579*m**3 - m**2*n - 15*m*n - 26883*m wrt m?\nAnswer: -24*m*n - 180963474*m - 2*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 60877183?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 10*p**6 + 1407130*p**5 - 2*p**2 + 99*p - 100784 wrt p?\nAnswer: 1200*p**3 + 84427800*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 708\/4 + -5 + 2. What is the greatest common factor of 5133 and a?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 232205995 and 2459065?\nAnswer: 1625441965","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -56 - -42. Let h(z) = 4*z + 58. Let s be h(p). Solve -18 = 4*q - f + 3*f, -23 = 5*q + s*f for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -50.676534689 take away 0.3?\nAnswer: -50.976534689","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 488721463?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*y - 4*f - 164, 2*f - f - 119 = -3*y. Let g = -39 + y. Is 0 less than g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/16196 smaller than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2.05 - -0.05. Let y = 2 + w. Let r = 0.18 - -0.82. Which is the closest to y? (a) -0.3 (b) r (c) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -2591*x - 1912202. Calculate w(-738).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 19*t**2 - 5*t - 55. Let s(y) = -28*y**2 + 7*y + 82. Calculate 7*l(x) + 5*s(x).\nAnswer: -7*x**2 + 25","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:50 PM and 8:17 AM?\nAnswer: 627","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8*b**3\/19 + 26*b**2\/19 + 22*b\/19 + 4\/19.\nAnswer: 2*(b + 1)*(b + 2)*(4*b + 1)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 2*q = -528, -5*v + 14*q = 13*q + 1324. Let t = v - -110. Which is smaller: t or -158?\nAnswer: -158","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u - 5*w - 3034 + 599, -5*u + w = -6099. What is the hundreds digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from odooooodoooo. What is prob of picking 1 o and 1 d?\nAnswer: 10\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -41\/1406826 > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**6*f)\/(f**44*f))**48 assuming f is positive.\nAnswer: f**(-1824)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 30286720817 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4 + 6. Suppose 0 = -f*i + 4 + 2. Solve -2*z = 6*l - 2*l + 14, 4*l = -i*z - 17 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that 5*m**5 - 84085*m**4 + 5698260*m**3 - 60310160*m**2 + 230484160*m - 300142080 = 0.\nAnswer: 4, 56, 16749","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2546?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 57 divide 6163?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m + 7. Let t be f(0). What is the least common multiple of 3\/t + 121\/77 and (-186)\/(-5 - 1) + (1 - 1)?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 + 11 - 0) + -7.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -40597, 31, 4 in decreasing order.\nAnswer: 31, 4, -40597","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2947 = -24*q - 2779. Solve -25 = -5*d - 5*m, 6*d - 4*d + m = q for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*n**3 - 744*n**2 + 15508*n - 14760.\nAnswer: -4*(n - 18)*(n - 1)*(n + 205)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -37 in -4\/9, -1, -4, -11, -65?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = c - 6. Let g(b) = 1. Suppose 2*p = 4*k + 42, 3*p + 12 - 3 = 0. Let j = k + 6. Calculate j*g(h) - w(h).\nAnswer: -h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 896 or 1040?\nAnswer: 1040","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the first derivative of 1\/6*u**3 - 1\/2*u**2 + 0*u - 4 + 0*u**4 + 2\/15*u**5. Let f(i) be the second derivative of n(i). Calculate f(1).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 134*g**3 + 2 + 163*g**3 + 0 - 493*g**3.\nAnswer: -196*g**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 7*k**2 + 13*k + 36. Calculate i(-6).\nAnswer: 210","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 4595617?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 235122 divided by -6\nAnswer: -39187","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 0, 3, 6, -10.\nAnswer: -10, 0, 3, 6, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the second derivative of 13*c**3\/6 + c**2 + 151*c - 1. Let v(p) = 12*p + 1. Give 3*m(q) - 4*v(q).\nAnswer: -9*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -60, -308, -986, -2310, -4496, -7760, -12318, -18386?\n\"Answer: -36*i**3 + i**2 + i - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the second derivative of 0*z**2 - 5*z + 0*z**3 + 5\/6*z**4 - 1\/3*z**6 + 0 + 0*z**5. Find the third derivative of r(u) wrt u.\nAnswer: -240*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v\/v**(-14)*v*v*v**16)\/(v\/(v**(-1\/8)*v*v)*v**10\/v) assuming v is positive.\nAnswer: v**(207\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -40034 (base 6) in base 2?\nAnswer: -1010001010110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 7*t - 142. What is y(2)?\nAnswer: -128","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 8*v - 169. Let q(i) = 11*i - 254. Determine 5*q(k) - 7*w(k).\nAnswer: -k - 87","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 192 = -0*q - 6*q. Calculate the lowest common multiple of 170 and (-15)\/(-7) + 0 - q\/(-224).\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -6*d + 4014. Let f(r) = -7*r + 4012. Give 5*f(p) - 6*v(p).\nAnswer: p - 4024","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = -2*d + 7*d - 17, 0 = -d + 1. What are the prime factors of q?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -32*h**2*r*s**2 + 10*h**2*r - 79*h**2*s + h*r*s**2 + 3*h*s + h - 594*r*s**2 wrt s?\nAnswer: -64*h**2*r + 2*h*r - 1188*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z + 8*a + 12 = 11*a, 4*a = -2*z - 32 for z.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 24783 + -0.03889?\nAnswer: 24782.96111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1771.3 + 1771. Suppose 29*g - 25*g + 4 = 0. Which is the third smallest value? (a) -23 (b) x (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (4 - (-84)\/(0 + -2))*-10. Suppose 4*w = 3*o - 0*w - n, -4*o - 2*w + 470 = 0. Round o to the nearest one hundred.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 2, q: 2, u: 2, k: 1, p: 1, h: 1}. Give prob of picking 2 u and 1 h.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -c**2 + 207*c - 10640. What is d(113)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 138 divide 23913?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 69 - 50*k + 231 + 72 + 27*k + 24*k. Let j(a) = 5*a**2. What is j(g(m))?\nAnswer: 5*m**2 + 3720*m + 691920","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 350 is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (5\/2)\/(3\/6). Solve -i - 4 = -3*u, -14 = 3*i + h*u - 2 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1462072.\nAnswer: 2, 179, 1021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -p + 4*f + 752, -2*f - 2296 = -3*p - 0*p. Is 13 a factor of p\/18*(-2 - 21\/(-6))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 15*a + 40. Let n(i) = 32*i. Calculate y(n(m)).\nAnswer: 480*m + 40","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = -3*s + 92. Suppose 0*t + 3*t = -o + s, t + 3*o - 5 = 0. List the prime factors of t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44 = 12*n - 4. Calculate the remainder when n is divided by 2 + (-2 - -4)\/2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*q + q - 5. Factor 8 - r**4 + 3*r**3 + 2*r - q*r**3 - 7.\nAnswer: -(r - 1)*(r + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37 = -2*r + 4*j + 71 + 2, 0 = -6*j + 7*j + 8 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 0.1*35.2\nAnswer: 3.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-16)\/(64\/(-6)))\/((-1)\/((-40)\/6))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1884622.7 - -1.48085?\nAnswer: -1884621.21915","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*l - 18 = 14*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 3*s = 24, m - 3 = -3*s + 15. Suppose 0 = -380*z + 368*z - 38 + 2. Is m smaller than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.4*0.225276\nAnswer: 0.0901104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y**3 + 217269*y**2 + 1955330*y - 2172600 = 0. Calculate y.\nAnswer: -217260, -10, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 0.5*-108.1\nAnswer: -54.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2121 is divided by 453?\nAnswer: 309","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 4414640773 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31383 = 54*y - 15867. Is 26 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2*(-18)\/(-30))\/(4\/(-10)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 9780422 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 109, 8, 136, 0, -2, -11 in increasing order.\nAnswer: -11, -2, 0, 2, 8, 109, 136","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let -n**2 - 1895*n\/2 + 8126 = 0. Calculate n.\nAnswer: -956, 17\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -91 + 98.1. Round u to zero dps.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 160\/(-348)*2859\/(-19060)\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d + 15. Let f be q(-10). Suppose g = 5*h - 21, 0 = 7*g - 2*g + f. Solve -3*k + 3 = -5*r + 4, -h*k - 6 = -2*r for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the third derivative of q**6\/280 - 139*q**5\/140 - 123*q**4\/8 - 1305*q**3\/14 + q**2 - 8. Factor u(y).\nAnswer: 3*(y - 145)*(y + 3)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 645342*-5\nAnswer: -3226710","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2692653370?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -5\/2 (b) -6 (c) 1\/6 (d) -62\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 181774843?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 173371694?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 43225756 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 204*n**4*q + n**3 + 3*n*q - 77*n wrt n.\nAnswer: 2448*n**2*q + 6*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7 - 5. Solve y*c + 3*c = 0 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -120 (b) -45 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/((10\/4)\/(385\/(-1309))).\nAnswer: -6\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 22485 and 21225.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o - 1. Let m(d) be the first derivative of -3*d**2\/2 + 1. Let q be (12\/(-18))\/(4\/6). Let y(z) = -z**2 + 5*z + 5. Let k be y(6). Give k*m(u) + q*p(u).\nAnswer: 2*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Are 5104 and 5091 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*g + 26 - 10. Solve 3*u + 1 = -g*f, -f - 7 = -u - 6*f for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h + 2*v = -35, -2*h - 56*v = -99*v + 42*v + 35 for h.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0 - (48\/30 + -1)*-5. Suppose 0*d = 2*d - 2*w + 4, -1 = -2*d - u*w. Sort -2, 3, -4, d in increasing order.\nAnswer: -4, -2, d, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ta when two letters picked without replacement from {t: 4, a: 2}?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1175436 and 881577?\nAnswer: 3526308","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 11210147.9 to the nearest 1000.\nAnswer: 11210000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 259?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -39678150 divided by 529042?\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that 2*r**2 + 23878*r + 47748 = 0.\nAnswer: -11937, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the second derivative of 2*k**2 + 8*k + 0 + 1\/3*k**3. What is the tens digit of j(4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that -2*g**4\/13 + 16*g**3\/13 - 18*g**2\/13 - 36*g\/13 = 0.\nAnswer: -1, 0, 3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eeqq when four letters picked without replacement from qqeeeqeeeeeeeeee?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4\/7 (b) 0.4 (c) 5\/54191\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6808 + 8164. Calculate the highest common factor of 48 and b.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-4\/7)*k*k\/(k\/k**(-1\/4))*(k**(2\/7))**(-43)*(k**(4\/5)\/k**(-3\/5))\/(k\/(k*k**(-2\/17))*k*k*(k*k**(-1\/3))\/k) assuming k is positive.\nAnswer: k**(-89189\/7140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -205.6 and 4962.\nAnswer: -1020187.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n + 11. Let k be f(9). Let j(y) = -9*y - 8*y**k + 9*y + 0*y**2. Let w(c) = c**2. What is w(j(q))?\nAnswer: 64*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 11, w: 1, m: 1, j: 2}. What is prob of picking 1 w and 1 j?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 5*i**2 + 3*i + 6. What is z(-3)?\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 549 + 541 - 1090 - 2*p. Let q(f) be the first derivative of -f**2 + 1. Calculate s(q(v)).\nAnswer: 4*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*d + 12*d = -136 for d.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 393060 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-5))\/(24\/20).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1\/1909 - 253777\/229080. Calculate the common denominator of 69\/100 and n.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2939 + 6305. Let y be 4\/(-14) - c\/(-119). What is the greatest common factor of 42 and y?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 + 0. Let f = -4.725 + -0.045. Let j = f + -0.23. Which is the closest to 0.1? (a) x (b) -0.3 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3 (b) 0.4 (c) 7\/3 (d) 10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 37330178 a multiple of 2594?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 279447 to the power of 1\/2, to the nearest integer?\nAnswer: 529","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v + 55*j = 54*j - 37, 9*v - 8*j - 173 = 0 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 - 2 = -3*n. Let c = 23 - 11. Solve -3*q = -s + 4 + 5, 5*s + c = -n*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 63906?\nAnswer: 2, 3, 10651","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1078, -1084, -1090, -1096, -1102, -1108?\nAnswer: -1114","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 194479 to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 33458 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -119.8? (a) 0 (b) 4 (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 858638.\nAnswer: 2, 11, 31, 1259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.026 in 5, -2\/19, -13, 0.07, -0.3, -4\/17?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 107 a factor of 668335458?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 61 = i - 72, -3*i - 3*m = -60. Let b(o) = -7*o**3 + 6*o**2 + 5*o - 2. Let j(k) = -20*k**3 + 17*k**2 + 14*k - 6. What is i*b(q) - 6*j(q)?\nAnswer: q**3 + q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the third derivative of 4*i**5\/15 + i**4\/12 - 2*i**3\/3 + 31*i**2. What are the prime factors of c(4)?\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-84)\/(-18))\/(63\/36*2).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -214674, -214672, -214668, -214662?\nAnswer: -214654","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 3, o: 5}. Give prob of picking 1 o and 1 w.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -8*18\/(-48)*(1 + -73). Let x = n + 220. Solve x*q = 3*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000931455631 to seven decimal places.\nAnswer: -0.0000093","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 136 a factor of 24118?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1028023?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 816 by 6.\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 2*b**3 + b**2 + b + 2. Let d be i(-2). Let w = d + 13. Solve -w = -2*a - 5 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that j**4 - 13127*j**3 + 963714*j**2 + 28806912*j + 184203936 = 0.\nAnswer: -12, 98, 13053","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 2*u. Let x(z) = 1 + 6*z - 1. Let m(l) = 6*l. Let g(n) = -n**2 - 4*n + 12. Let w be g(-5). Let k(f) = w*x(f) - 6*m(f). What is k(q(r))?\nAnswer: 12*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.0465 + -0.048. Round g to three decimal places.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8 - 24. Let d = -6 - p. Suppose 2*w + 4*g = -2, 4*w = -5*g + 5 + 3. Solve 2*k - 19 = w*k - 4*c, -5*k = 5*c + d for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2 and -315781.\nAnswer: -631562","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the third derivative of -t**5\/180 + t**4\/72 - 27*t**2. Find u such that g(u) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 18 = -4*p - p, 4*p + u = 11. What is the second derivative of 3*z - 2*z + 4*z**5 - p*z + 4*z wrt z?\nAnswer: 80*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the second derivative of 4*t + 0*t**2 - 4\/21*t**7 + 0*t**6 + 0*t**4 - 4\/3*t**3 + 0*t**5 + 0. What is the second derivative of q(z) wrt z?\nAnswer: -160*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -4*u - 36. Let p = -653 + 922. Let n(r) = -p + 136 + 135. Give 2*f(q) + 36*n(q).\nAnswer: -8*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2.1*-4812.\nAnswer: 10105.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 44961?\nAnswer: 3, 7, 2141","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(432) + 5*(sqrt(432) + -3*sqrt(432)))*5.\nAnswer: 2160*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r**2 + 12*r - 62. Let z be a(-17). Suppose 0 = -43*i + z*i + 3920. Is i a multiple of 49?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*a**2 - 45*a**2 + 23*a**2 + 15*a**2.\nAnswer: 5*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 19688292 divided by -4548?\nAnswer: -4329","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -6 and -13273951?\nAnswer: 79643706","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10267781, 10267780, 10267779, 10267778, 10267777, 10267776?\nAnswer: 10267775","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3 and 771?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 133 in -0.5, 0.3, -2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*b - 14 = -9*b - 14. Solve b*o + 36 = -6*o for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 402, -4, -1498 in ascending order.\nAnswer: -1498, -4, 402","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 15 = -5*o, -2*o - 6 = 3*z - 0*o. Let k be (0\/4 - z) + 2. Let f(r) = r**k - r - r + 2*r. Let y(m) = 5*m**2. What is f(y(j))?\nAnswer: 25*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.093 + 6.103. Let j = 65.61 - k. Let t = 61 - j. What is the closest to 0.1 in t, -0.1, 1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 2*s**2 - 8*s + 5. Calculate r(5).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 17380042?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/(0 - (-1)\/4). Let z = 14 - 18. Let j = z + p. Solve j = 3*s - 3 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1d512 - 363?\nAnswer: 1d18d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 3*f**3 - 12*f**2 + 2*f. Let t = 85 - 64. Let o(q) = 30*q**3 - 120*q**2 + 21*q. Let v(c) = t*s(c) - 2*o(c). Factor v(h).\nAnswer: 3*h**2*(h - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -0.428, -4, 30, 24?\nAnswer: -0.428","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 16465982?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 2, i: 5, x: 3}. Give prob of picking 2 x.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the third derivative of n**9\/720 - 3*n**8\/560 - n**7\/210 + 2*n**4\/3 + 14*n**2. Let i(c) be the second derivative of s(c). Factor i(l).\nAnswer: 3*l**2*(l - 2)*(7*l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1\/6 (b) -7 (c) -0.3 (d) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w, 1 v, and 1 u when four letters picked without replacement from {u: 1, v: 1, w: 2, x: 2}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.0763 and -0.041.\nAnswer: -0.1173","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0952 - 0.02490335.\nAnswer: 0.07029665","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -650, -1306, -1964, -2624, -3286?\n\"Answer: -z**2 - 653*z + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 minutes after 4:55 PM?\nAnswer: 6:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*b**4 - 7*b**4 + 4*b**4 + (0*b + 0*b - 2*b**4)*(4 - 5 + 3) + (-1 + 2 - 3)*(4 - 3 - 2)*(26 - 52 + 29)*(b**4 + b**2 - 3*b**4 + 0*b**4).\nAnswer: -17*b**4 + 6*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 15.602 + -8.01. Let w = k - 7.592003423. Round w to 7 dps.\nAnswer: -0.0000034","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2\/(-7) + 1014\/21?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o**2 - 17*o + 14. What is j(15)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u**3 - 4*u**2 + 2. Let a = -68 + 48. Let n be a\/(-6)*42\/(-35). Determine q(n).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zwf when three letters picked without replacement from fgwzwddggdgfwwfgfddf?\nAnswer: 1\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0 (b) -4\/9 (c) -0.5 (d) 5 (e) -0.33 (f) 1\/6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 173 is divided by 41.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1500, 2996, 4490, 5982, 7472, 8960?\nAnswer: 10446","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -34, -5 in decreasing order.\nAnswer: -4, -5, -34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -837 + 5861\/7. Which is the second smallest value? (a) 1 (b) m (c) 3\/22\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1 + (-6)\/(-2) + -5. Put -5, q, -8, 3 in ascending order.\nAnswer: -8, -5, q, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 2*m. Let f(b) = -b. Let q(w) = 7*f(w) + 4*h(w). Let y(d) = -3*d. What is y(q(u))?\nAnswer: -3*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 47228660?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.12 and -93087.\nAnswer: 11170.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-82302)\/(-1548) + -54)*36\/(-165)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + d - 9 = 0. Find the second derivative of -42*n - n**3 - 2*n**4 + 8*n**4 - 3*n**4 + 3*n**d wrt n.\nAnswer: 36*n**2 + 12*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3009 * -67\nAnswer: -201603","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -662, -2631, -5912, -10505, -16410, -23627?\nAnswer: -32156","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -909, -3161, -6915, -12171, -18929, -27189?\n\"Answer: -751*r**2 + r - 159","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 60 = -2*q. Let c = 16 - -5. Let k = q - c. What is the remainder when k is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 4, j: 4, u: 6}. What is prob of sequence jjvv?\nAnswer: 6\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4045, -4067, -4103, -4153?\nAnswer: -4217","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 5*q + 1. Suppose -v + 193 = 3*x - 2*v, 3*x - 5*v - 173 = 0. Suppose 105 = -61*w + x*w. Calculate the least common multiple of p(1) and w.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*k + 11011 = -6*k - 5*d, 33045 = 6*k - 3*d. Is 34 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/4 of a litre in millilitres?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m**2 + 334*m + 662. Calculate w(-2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -511 (b) 1\/3 (c) -11\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*i - 4*i + 5*j + 8, 4*j = -3*i - 13. Suppose -2*d - 3 = -7. Let r(g) = -d*g**3 + g**3 - g - 2 + 3. Let h(t) = -t**3 - 3*t + 3. Give i*r(z) + h(z).\nAnswer: 2*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 1, -10, 2, -251 in increasing order.\nAnswer: -251, -10, -2, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 34850.25 to the nearest 100.\nAnswer: 34900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3774691*n**3 + 28*n**2 + 206*n + 52.\nAnswer: 22648146","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by -609?\nAnswer: 4\/609","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -43*p + 473. What is j(11)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8\/5*v + 12\/5*v**2 - 4\/5 = 0. What is v?\nAnswer: -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -112.895 plus -1?\nAnswer: -113.895","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 58300563 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*h**3 - 27 + 27)*(-h + 3*h + 0*h) + 2*h**4 + 4*h**3 - 4*h**3.\nAnswer: 10*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -344 divided by 5?\nAnswer: -344\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-1)\/1)\/((-3)\/15). Let n = -8 + k. Let g(r) = r**2 - 5*r - 3. Let s(c) = -c**2 + 9*c + 5. What is n*s(p) - 5*g(p)?\nAnswer: -2*p**2 - 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrbbbbbbrbbbrrrbbbr. What is prob of picking 3 r?\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:40 PM and 12:10 AM?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10566*b = -10861*b + 5900 for b.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 3*u = -1, -2*d - 2*u - 16 = -7*d. Let h be d\/(-2 + 15\/6). Suppose 82 = h*a + 5*n - 3*n, -4*n - 20 = 0. Is a a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13454587009 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in twenty-one eighths of a millimeter?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 185561?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -44 - -44.01. What is the fourth biggest value in s, 2\/5, 1, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the first derivative of m**4\/38 + 56*m**3\/57 + 189*m**2\/19 + 36*m + 10995. What is t in n(t) = 0?\nAnswer: -19, -6, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -15*v - 12. Let a be t(-4). Suppose s + 32 = g, -g - 16 + a = 2*s. Suppose 39 = c + g. Solve c = -3*r - 8 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4, -2, -7, 5, 10?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 25 + 24. What is the tens digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 23814 and 2633358.\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 + 0*n**2 + n**2 - 2 + 6*n**2 + 51*n - 51*n + (-1 + 0 + 0)*(n**2 - n**2 - 2*n**2).\nAnswer: 9*n**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 19\/255, 2 in descending order.\nAnswer: 2, 0.1, 19\/255","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3280 and 1230?\nAnswer: 9840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 1 + -4 + sqrt(300) + 4*(sqrt(300) + sqrt(300) + 0)**2 + sqrt(300).\nAnswer: 20*sqrt(3) + 4800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 48622 is divided by 50.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -18 - -49. List the prime factors of h.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1 - 3c8603?\nAnswer: -3c8604","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2586678 divided by 3.\nAnswer: -862226","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9420\/(-785) + (170\/16 - -1).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -3*f**2 + 9*f + 8 + 9*f**2 - 2*f**2. Suppose 13*p - 135 = 40*p. Let k be i(p). Calculate the highest common divisor of 9 and k.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5, -7\/90, 0.8?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(228)*3*2 - (-5*-3*sqrt(228) + sqrt(228)))\/((2*sqrt(1944))\/sqrt(2)))**2.\nAnswer: 475\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the second derivative of w**9\/945 + w**7\/2520 + w**4\/3 - 14*w. Let q(u) be the third derivative of h(u). Find the third derivative of q(v) wrt v.\nAnswer: 384*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 273\/65 - 2\/10. Suppose 22 + 4 = 2*g + x*v, -2*g - 5*v + 22 = 0. Suppose -g*i + 1 = -22*i. Is 2\/87 smaller than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = -5*x + 523, 3*x + 196 = 5*n + 532. What is the hundreds digit of x*(-1 + -3)*69\/(-276)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in 4.3, -1\/11, -1\/4, -2?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 5 - 1)*(-6 + y + 6) as m + u*y and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7492*n**2 - 7492*n**2 - 29*n - 42*n**3 wrt n?\nAnswer: -252*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 18 = 2*s, -4*s = -4*r + 316 - 352. Suppose 2*h - 21 - 19 = -4*z, 4*z - 2*h = 32. Solve -8*m + z*m = r for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j + 4. Let b be m(-2). Suppose -b*o = -8, -p + 2*o + 11325 = 4*o. Let v = 3217 - p. Round v to the nearest one thousand.\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-1))**(3\/14))**(-1\/31)*(p*p**(-1))**(-41)\/(p**(-1\/6)\/(p\/p**(-6))) assuming p is positive.\nAnswer: p**(4670\/651)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**2\/5 + 252*r\/5 - 253\/5.\nAnswer: (r - 1)*(r + 253)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 9100140788 minus -0.3?\nAnswer: 9100140788.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -28 - 10. Let w = -37.923 - j. What is w rounded to one decimal place?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 1039*l - 2114*l + 1038*l. Let u(k) = -17*k**2. Give j(u(o)).\nAnswer: 629*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 290127 - -e?\nAnswer: 290135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -300 - 291 + 875 - 5*n - 292 - 2*n**2 - 2*n**2. Let y = -9 + 12. Let m(i) = i - 16 + y*i + 15 - i**2 - 5*i. What is 5*m(s) - q(s)?\nAnswer: -s**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j**2 + j + 154. Let m be z(0). Let w(p) = 8*p**2 - 17*p + 50. Let k be w(5). Suppose -k - m = -11*c. What is the remainder when 46 is divided by c?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = 4*h - 23, -3 = -5*h - 2*x + 1. What are the prime factors of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-132)\/(-28) + -5 - 0?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tut when three letters picked without replacement from uutttttu?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 4*v**2 + 3*v + 1. What is m(-3)?\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*k**2 + 24*k**2 + 8*k**2)*(28 + 112 + 7).\nAnswer: 4704*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 409 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.172 + 0.2.\nAnswer: 0.028","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 - 6*h**3 + 1 - h + 3 to the form k*h**2 + x*h**3 + f*h + o and give x.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1177.044229 rounded to the nearest 1000?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 3*t + 5. Let f = 2248 - 2249. Let z(j) = -j - 1. Give f*l(p) - 4*z(p).\nAnswer: p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -5 + 7 - (-1 - -3 - 0)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1 and 931903879857?\nAnswer: 931903879858","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6184612 is divided by 59.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 13239\/5 + -2656. Let l = -11 + 175. Calculate the common denominator of l\/(-8) + 0\/(-1) and f.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5139?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -2*w**2 + 3*w + 8. Let m be r(4). Let s = -2852 + -6470. Let f be (-3)\/(m\/s) - 2\/(-4). Round f to the nearest one hundred.\nAnswer: -2300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 438 is divided by 112?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 536 - 506. What is the smallest common multiple of z and 20?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21719 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -177*s**3 + 2*s**2 + 22*s. Let p(d) = 737*d**3 - 9*d**2 - 90*d. Give -9*g(n) - 2*p(n).\nAnswer: 119*n**3 - 18*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 9 + -2. Suppose -4*p + 135 = -x*p. What is the units digit of (4\/(-3))\/(10\/p)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:24 AM and 2:23 AM?\nAnswer: 59","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -8470, -33844, -76142, -135370, -211534, -304640, -414694, -541702?\n\"Answer: -t**3 - 8456*t**2 + t - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1425?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 456 + -82. What are the prime factors of v?\nAnswer: 2, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -34\/49, -0.11, -0.74, 2\/9 in increasing order.\nAnswer: -1, -0.74, -34\/49, -0.11, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 5*i + m, 5*i = -m - m + 13. Suppose 5*y = 36 + 39. Let b = y - 10. Solve 4*d = -a + 9 + 4, 5*d + b = i*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*b**4 + 4*b**4 + 0*b**4 + (0*b**2 - 2*b**2 - b**2)*(-189*b**2 - 63*b**2 + 56*b**2))*(5 - 4 - 3).\nAnswer: -1180*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*d**4 - 2*d**4 + 6*d**4 + (0*d - 2*d + 0*d)*(2*d**3 + d - d))*(15 - 5*d - 18 - 3*d - 2 + d + 2 + (-3 + 6 + 0)*(-d - 3 + 3)).\nAnswer: 20*d**5 + 6*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1012, -1163, -1312, -1459?\n\"Answer: l**2 - 154*l - 859","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 295*i + 7480 = -172*i + 127*i for i.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 16871 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6*(-8)\/32)\/(-3).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2345 - 2229. What are the prime factors of l?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4 + 3. Let r = -1 - b. Which is bigger: r or -1?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2 and -261419?\nAnswer: -522838","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3790?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 417064124?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5 + 5 + 0 + 19*o to the form n + x*o and give x.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 519184?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -22, -40, -42, -22, 26?\nAnswer: 108","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6 + -3. Suppose c*l = 2*j + 11, 3*l - l - 6 = 2*j. Suppose 7 - 15 = -j*y. Which is smaller: y or 14\/5?\nAnswer: 14\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -22, -22, -2, 50, 146, 298, 518, 818?\nAnswer: 1210","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(18)*6*1)\/(sqrt(81) + sqrt(81)*-3*-2).\nAnswer: 6*sqrt(2)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 59105?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 21\/7*(-5)\/30.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (32\/40)\/(1\/5)*174\/348?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 0, 1, 3 in increasing order.\nAnswer: -6, 0, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 15\/((-3 + 2)*-1). Let h = -8 + g. Calculate the greatest common divisor of 1 and h.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15486 divided by 3\nAnswer: 5162","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y**4\/7 + 3*y**3 + 1737*y**2\/7 + 717*y + 3306\/7 = 0 for y.\nAnswer: -19, -2, -1, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 9*j*w*z - 8546174*j + 1425153*w*z - 9*w + z with respect to z.\nAnswer: 9*j*w + 1425153*w + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1148420556 take away -32.25?\nAnswer: 1148420588.25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b**3 - 25*b**2 - 25*b - 35. Let z be s(-24). Let t be (-1)\/(z\/30 + 1\/6). Which is greater: -2 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 23327862?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 10) to base 4.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((l\/(l*l**10*l*l))\/l)\/l)\/l)\/(l*l**(2\/9)*l)*l\/(l\/(l\/(l**(-2\/15)*l)))*(l**(-3\/7)*l)\/l assuming l is positive.\nAnswer: l**(-5518\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is h in -2*h**5 - 208482*h**4 + 4170152*h**3 - 30026304*h**2 + 90080640*h - 90081504 = 0?\nAnswer: -104261, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 3395766, 3395756, 3395746, 3395736, 3395726?\n\"Answer: -10*q + 3395776","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1832 - -1910. Is s at least as big as -39?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 161620 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 155 - 15*o**2 - 78 - 77.\nAnswer: -15*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 167, 300, 367, 362, 279, 112, -145?\n\"Answer: -h**3 - 27*h**2 + 221*h - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -5*4\/(20\/1). Is 15 a factor of ((-90)\/(-2))\/(-1)*i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j**2 - 12*j - 18. Suppose -2*f = 4*o + 10, 0 = -41*f + 44*f + o + 10. Determine c(f).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Factor 10*d - 11*d**2 - 57 + 72 + 6*d**2.\nAnswer: -5*(d - 3)*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 12810 or -1155?\nAnswer: 12810","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r = -0*t + 5*t + 15, 4*t - 16 = -3*r for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 55 + 35*p - 32 - 1 + 69.\nAnswer: 35*p + 91","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1403644 a multiple of 292?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4\/6 + -1 + (-14)\/(-78). Which is the third smallest value? (a) x (b) -1 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 i when two letters picked without replacement from jjjiijtttjjji?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1265 divided by -103559?\nAnswer: -1265\/103559","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 5, 1\/135, -0.2, 0.05, 0.1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o**3 - 32*o**2 - 21*o - 87. Give g(33).\nAnswer: 309","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4324 + 14764. Is b a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by 96.\nAnswer: 5\/96","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1776309, 3552439, 5328569, 7104699?\nAnswer: 8880829","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -530*o + 35916297 = -443*o. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -39 + 39.9. Let r = -1.9 + y. What is the smallest value in -0.13, -1\/4, -3, r?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15 - (-16 - -6) - (-16 + 22 + -43).\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 21*t - 314. Let r(y) = -6*y + 56. Let v be r(3). What are the prime factors of h(v)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (90 - 11 - 75) + (0 - 1).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l, 2 r, and 1 y when four letters picked without replacement from {l: 3, r: 4, y: 9}.\nAnswer: 81\/910","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4058 - -2a?\nAnswer: -402b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 129\/129 + 18\/(-14).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2112300 (base 5) to base 16.\nAnswer: 89fd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve v + 7 = 9*c - 7*c, 0 = -3*v + 3*c - 9 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 16) to base 12.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6 (base 8) to base 4.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by -1277?\nAnswer: 3\/1277","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -23973 + 31616. List the prime factors of d.\nAnswer: 7643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y - 159 = -151 for y.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4874 to the power of 1\/2, to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 2*r**2 + 4*r + 1. Determine l(-3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 11924 plus -382?\nAnswer: 11542","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 124492 is divided by 57980?\nAnswer: 8532","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d**3 - 10*d**2 - d - 18. Let h = -20 - -10. Let b be r(h). Which is smaller: -46\/7 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 170 - 161 = -u. Are u and -9 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 0*n = 30. Find the third derivative of 4*s**2 + 10*s - 10*s - 3*s**n wrt s.\nAnswer: -360*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -3*q - 12. Let c be z(-5). Let k be 9\/3 + -6 + c. Factor 0*x + k*x**3 + 0 + 2\/3*x**4 + 0*x**2 - 2\/3*x**5.\nAnswer: -2*x**4*(x - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5922?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q**2\/13 + 48*q\/13 - 126\/13 = 0. What is q?\nAnswer: 3, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 158 minutes before 6:24 AM?\nAnswer: 3:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (810774*f**3 - 810547*f**3 - 1 - 7*f + 1)*(3*f - 1 + 1).\nAnswer: 681*f**4 - 21*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1113400 rounded to the nearest 100000?\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 58817015 by 265.\nAnswer: 221951","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 9173, 9169, 9163, 9155, 9145, 9133, 9119?\n\"Answer: -n**2 - n + 9175","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the second derivative of 0 - 47*r + 0*r**2 + 0*r**3 - 51\/20*r**5 - 31\/6*r**4. What is the third derivative of m(i) wrt i?\nAnswer: -306","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -37*u**2 - 1625*u - 104. Determine x(-44).\nAnswer: -236","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by 30.\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g - 2*j + 8, -g = 4*j - 5 - 5. Suppose -15*n = -14*n - 2. Suppose 1 + 11 = 3*r. Solve 0 = -b - g*d - 8, r*b - 3*d + d + n = 0 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -305 and 65625.45985.\nAnswer: 65320.45985","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 46831?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 527415.6 millennia in years?\nAnswer: 527415600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 25, -1, 3, 0 in increasing order.\nAnswer: -1, 0, 3, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41957 + 82501 + 208182 = 7392*d for d.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2638 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -27.865 - 0.135. Let b = 28.07 + q. Is -1\/16 > b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -2*w**3 - 93*w**2 + 38*w - 164. Give t(-47).\nAnswer: 259","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 3, p: 17}. Give prob of picking 4 p.\nAnswer: 28\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 17*f - 256 + 256 to l + p*f and give p.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*d - 13571 - 14973 = -1072. Does 8 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in 4, 32, -5\/6?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -345, -458, -763, -1356, -2333, -3790, -5823?\n\"Answer: -16*j**3 - j - 328","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 3*r + 109. Let y be l(0). Suppose -y = -5*t + 71. Is t at most 37?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.115 + 0.615. What is the third smallest value in v, 2\/13, 34, -1\/4, 1?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1370024 is divided by 20448?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.5 greater than 559.06?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 99334 is divided by 14118.\nAnswer: 508","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**7\/((f\/(f\/f**2*f))\/f)*(f*f*f\/f**(-2)*f)**(-6)*((f**(-2))**48)**0 assuming f is positive.\nAnswer: f**(-29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at least as big as -2\/4171?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1108435?\nAnswer: 5, 41, 5407","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 6*d**3 - 15*d**2 - 10*d + 15. Let z(g) = 2*g**3 - g**2 - g - 1. Let l(s) = a(s) - 2*z(s). Is 50 a factor of l(9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -40\/1449 and -49\/1863?\nAnswer: 13041","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -77 + 0 = -77*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3\/1051, 0.3, 1, 1\/6, 16?\nAnswer: 3\/1051","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/(-3)*(-630)\/(-1575)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*x**2 - x**2 + 4*x - 6*x)*(x**2 - x**2 + 3*x**3).\nAnswer: -3*x**5 - 6*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 55 = -53. Let l be (0 + (a\/(-6) - -2))*2. Is -9\/2 at least as big as l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 78018 by -2.\nAnswer: -39009","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rer when three letters picked without replacement from eerxrrr.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1 - 87a?\nAnswer: -879","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -6997?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(684)*-5*-4.\nAnswer: 120*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -93 + 39 = -2*o. Let w be (32 - o) + (-1 - -1) + 0. Suppose -5*q = m - 24, -4*m + 3 = 4*q - 13. Solve 0 = q*h - w*z + 20, -2*z + 2 = -z for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - c = 10, 18 = m - 4*c - 1. Let g be (12\/8)\/(m\/(-2)). Let p(k) = k**2 - 2*k - 2. What is p(g)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -207167 = -13*v - 65297 + 96251. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-119 - -112)*8\/(-14). Solve 0 = -2*x - v*p + 2, -3*x + 2*p + 2*p = 7 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 9679, 19214, 28749, 38284, 47819, 57354?\n\"Answer: 9535*y + 144","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*r = 21*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8540*n + 8 = -8542*n, 14*f = 7*n - 490 for f.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10715188 is divided by 765366.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.27973 times 0.4?\nAnswer: -0.111892","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d**4 - 12029*d**3 - 36093*d**2\/2 - 36095*d\/4 - 1504 = 0.\nAnswer: -1\/2, 6016","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10843 divided by 216.\nAnswer: 10843\/216","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (117\/(-26))\/((-9)\/12). Calculate the greatest common divisor of 270 and x.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27650151 is divided by 1259.\nAnswer: 1252","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 781*b**2 + 163*b - 11. What is the thousands digit of o(-5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 19*g + 9*g - 10*g + (0 - 4 + 5)*(g + 2 - 2) - g + 0*g - g - 11 - 6*g + 11.\nAnswer: 11*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -835, -1031, -1369, -1843, -2447, -3175, -4021, -4979?\n\"Answer: g**3 - 77*g**2 + 28*g - 787","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 2*v + 8. Let w be f(-3). Let s be (-85)\/34*((-116)\/50 + w). Find q, given that 0 + 0*q**2 + 2\/5*q**3 + 2\/5*q**5 - s*q**4 + 0*q = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3*(-8)\/54)\/2)\/(314\/(-157))?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-12)\/3 - (-91)\/(-9))\/2 and 63\/16?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7598 not equal to 7600?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*g**2 - 7*g**2 + 12*g**2.\nAnswer: 5*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 158 divide 235647283?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) 0 (b) -4\/7 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 262*k - 127*k - 186*k**2 - 135*k + 0*k.\nAnswer: -186*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*u - 136 = -15*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.1 (b) 6 (c) -1028\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 384249506?\nAnswer: 2, 192124753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -22 + -18 + (-490)\/(-15) + 20\nAnswer: 38\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -2*y + 4*r, -4*r + 2 = 2*y + 3*y. Find the second derivative of 0*b**2 + b + 2*b**3 + 0*b**y + b**3 wrt b.\nAnswer: 18*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -16*-1926313\nAnswer: 30821008","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 975, 3873, 8687, 15405, 24015, 34505, 46863, 61077?\nAnswer: 77135","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -259 by -259.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((-3 + (sqrt(425) - (sqrt(425)*1 + sqrt(425))))**2 - sqrt(425)) + 0.\nAnswer: -1736 - 100*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s = -6*s - 15, m + 37*s + 640 = -17*s - 73*s for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2c - 8?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 105 = -0*l. Suppose 5*a - 5 = 30, -4 = 5*y - 2*a. Suppose -w - l = -2*b, -4*w - y = b - 17. What are the prime factors of b?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 792, 797, 806, 819, 836?\n\"Answer: 2*i**2 - i + 791","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-14)\/21*(-3)\/(-2)*-6. Suppose -4*o + a = -m, -12*a + 17*a = -o + 12. Solve 5*c - 7 = i + o*i, 5*c = -3*i + 13 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1685 is divided by 476.\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -9780000 rounded to the nearest one million?\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*u - 5074 = -106*u. What is the remainder when 68 is divided by u?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 34 - 32. Solve -h + 6 = y*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11838 plus -24179301837?\nAnswer: -24179313675","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u = -g + 1, -3*u + 6*g - 8*g = -7 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 109 + -58. What is the units digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -877\/23 (b) 3 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2218407287?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 10*q**2 - 3*q + 10. What is the units digit of g(3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-17212)\/(-2064) + 2 + -4. Let i = 559\/5 - 96143\/860. Let q = c - i. Which is smaller: 6 or q?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the third derivative of j**5\/12 + j**4\/6 + j**3 + j**2. What are the prime factors of u(-3)?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4480 divided by -5\nAnswer: -896","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 33\/1120 and 39\/226288.\nAnswer: 15840160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 500568*n + 36 = -11*g + 500565*n, -g + 3*n = -36 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 115191295 is divided by 117?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 106838435\/(-1227919) + (87 - 0)?\nAnswer: -2\/259","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b**2 - 11*b - 15. Let g be x(-9). Let h = g - -17. Let l = h - 15. What is the lowest common multiple of 4 and l?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6830)\/(-47810)*8\/2*-2*(-3)\/(-42)?\nAnswer: -4\/49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2433, 26, -1, 1, 7, 2 in decreasing order.\nAnswer: 2433, 26, 7, 2, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3480)\/140*11\/22 - -12 - 522\/56.\nAnswer: -39\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y**3 - 6*y**2 + y + 3. Let p be b(6). Suppose 0 = -p*q + 4*q + 230. Calculate the remainder when q is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-40)\/110*(-264)\/8.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is (-7694)\/6*(3 - 6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*a**2 + 2*a**2 - 2880*a - 3*a**3 + 2880*a.\nAnswer: -3*a**3 + 4*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (s - 4*s + 2*s)*(7*s - 38*s + 8*s)*(1 + 0 + 2).\nAnswer: 69*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -856 + 856.4. What is the second biggest value in -47, h, -2, 4?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-20)\/(-40))\/((-3)\/(-3)).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 204033838 to the power of 1\/3, to the nearest integer?\nAnswer: 589","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (4*sqrt(72)\/sqrt(4))\/(3*sqrt(6)*-5).\nAnswer: -4*sqrt(3)\/15 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6 - 16) + 271 + -218?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 78820*y - 30382.\nAnswer: 78820","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -31 + 31. Suppose j = -4*o + 4 - 20. Does 17 divide (o - (-65)\/15)*102?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*g**3 + 84*g**3 + 81*g**3 - 179*g**3.\nAnswer: 2*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -23\/2 and 121\/372?\nAnswer: 372","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:42 PM and 1:12 AM?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 213 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7 + 16. What is the remainder when 33 is divided by h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 334 = -515*b + 1050 + 829. Solve 38\/7*v**2 + 10*v + 2\/7*v**b + 34\/7 = 0.\nAnswer: -17, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3263460*p**3 - 57928*p**2 - 5*p + 1.\nAnswer: -19580760","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2.4 and -49.2479.\nAnswer: -118.19496","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b**0)**(-9)*b**(2\/3)\/b*b\/b**(1\/6)*b)**(-1\/3))**(-38) assuming b is positive.\nAnswer: b**19","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2106093 and 1309803?\nAnswer: 627","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that -16*n**3\/7 + 329565884*n**2\/7 - 1697088582190224*n\/7 - 424272166145424\/7 = 0.\nAnswer: -1\/4, 10298934","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2 - -24) + -42 - (1 - 10)) + 14?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8)\/1600*310)\/(16\/(-80)).\nAnswer: 31\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 1, -29, -6 in ascending order.\nAnswer: -29, -6, 1, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4 + 3.8. Let x = -2.1 + 2. Let n = x - -0.2. What is the third smallest value in b, -0.1, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -b**2 + 10*b - 16. Let w be y(8). Let a be 0\/(-1) - -6 - 2. Suppose 0 = a*v - v - 9. Solve 0*j - v*j = w for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4559515 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 67 or -1\/105?\nAnswer: -1\/105","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-14)\/a)**24 assuming a is positive.\nAnswer: a**(-360)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*b + 5 = 138. Suppose 17*f - b*f = 4*l + 6, -2*l - 8 = -4*f. Is -12\/11 >= l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*d - 2 - 3. Let t(g) = 8*g**3 - 6*g**2 + 6*g. Let p(y) be the first derivative of y**4\/4 - y**3\/3 + y**2\/2 - 1. Give d*t(w) - 6*p(w).\nAnswer: 2*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 16*f**2 - f + 2. Let q(u) = -31*u**2 + 3*u - 4. Let x(d) = 5*p(d) + 2*q(d). Differentiate x(c) with respect to c.\nAnswer: 36*c + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:45 AM and 1:27 PM?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(190) + 4*(3*sqrt(190) + sqrt(190) + sqrt(190)) + (sqrt(190)*-3 - sqrt(190))*-5 + sqrt(190))\/((6*sqrt(120) + sqrt(30))\/(sqrt(3)*2*1)).\nAnswer: 84*sqrt(19)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the first derivative of s**4\/4 + 8*s**3\/3 + 5*s**2\/2 - 10*s + 4. Let u be m(-7). Solve -2*j = -3*j + u for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the third derivative of -3*o**7\/70 + 19*o**6\/24 - 149*o**5\/10 - 48*o**2 - 2*o. What is the third derivative of g(h) wrt h?\nAnswer: -216*h + 570","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*k + 3424299 + 1114791 = 0. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -10963 + 10963.6. What is the fourth smallest value in 7, -4, f, -5?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28258073707 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1 + 1. Find n, given that -17*n + 3*n**3 - 21*n - 19*n + 45*n - 12 + 3*n**f = 0.\nAnswer: -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 7*b + 584 = 0. Let j = 91 + b. Calculate the greatest common divisor of 45 and j.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1229642959 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/4 of a micrometer in nanometers?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = 3*w - 6, -76*t = 4*w - 79*t - 2. Sort 0, w, -6, 5 in increasing order.\nAnswer: -6, w, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*2 + (-6)\/15 + 1221\/165.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.768182 years in decades?\nAnswer: 0.8768182","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12\/11, 0.3, -222, -0.3 in increasing order.\nAnswer: -222, -0.3, 0.3, 12\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -4*x**2 + 5*x - 16. Suppose -24 = 16*v + 40. Let w be q(v). Sort -3, w, -2 in increasing order.\nAnswer: w, -3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2259*a**5 - 4*a**4 - 13*a**2 + 2 wrt a.\nAnswer: 135540*a**2 - 96*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.005 + -7.705. Let l = 8 + s. What is the third smallest value in l, 4, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 144, 304, 464, 624, 784?\nAnswer: 944","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 7984*h - 5634. Let y(x) = 7*x. Let b(l) = u(l) - 12*y(l). Find the first derivative of b(v) wrt v.\nAnswer: 7900","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 2*w - 0. Suppose -4*k - w = -2*k. Let y = 4754 - 4751. Which is smaller: k or y?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 3*v + 26 = -1, 3*d = 5*v - 13. Suppose -44 - 40 = -d*w. Let s = w + 14. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000073671 to 6 dps.\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4802 + -926779\/193. Let p = 1979\/1351 - x. What is t in p*t**4 + 12\/7*t + 0 - 36\/7*t**3 + 2*t**2 = 0?\nAnswer: -2\/5, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzzzzzzh. What is prob of sequence hz?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i - 3. Let o be l(-17). What is the lowest common multiple of 30 and o - (-1 + 3)*(-11 + 9)?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i**3 - 17*i**2 - 15*i + 14. Let c be n(-16). Let w be (-20)\/25*5\/c. Solve 3*b + 2 = w*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46*j + 9*j + 2733 = 1963 for j.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 119\/(-35)*1445\/(-374) - 13.\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - d = 572. Let g = d + -75. Suppose -4*i - i + 115 = 0. What is the remainder when g is divided by i?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5040 is divided by 384?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 + -1. Let l = -30852\/25 - -1234. Is l < t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that 16*f**4\/9 - 1586*f**3\/9 - 16*f**2\/9 + 1586*f\/9 = 0.\nAnswer: -1, 0, 1, 793\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = l + 5*s + 25, 3*l + 3*s = -12 - 3. Which is the biggest value? (a) l (b) 2 (c) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 843*c - 1488 + 4943 = -6944 - 4775 for c.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -8 - 1 + 12*x + 8*x**2 - 1 - 2*x**3 - 14*x. Let p(r) = r**4 - r**3 - r**2 - r - 1. Let f(d) = -4*p(d) + 2*z(d). Suppose f(l) = 0. What is l?\nAnswer: -2, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h = -5*v, 0 = -2109*v + 2122*v + 3*h for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gxzg. Give prob of sequence xg.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -2*r**2 + 7. Let o(t) = -5*t**2. Give o(f(b)).\nAnswer: -20*b**4 + 140*b**2 - 245","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -2*v**2. Let h(j) = -13*j**2 - 26. Suppose -a + 5 + 6 = 0. Let n(x) = -a + 6 + 5 - 1. Let k(o) = -h(o) + 26*n(o). What is t(k(z))?\nAnswer: -338*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -5 + (-5)\/((-25)\/45). Find the second derivative of 52*v**3 - 60*v**l - 27*v**3 - 25*v**3 - 26*v wrt v.\nAnswer: -720*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*g - 1157 - 17. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 88400537?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-6)\/5)\/(6\/(-15)). Suppose 4 = q*n - 5. Suppose -5*x = 4*h - 43, 2*x - n = x. What is the units digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 27 and 609.\nAnswer: 5481","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*q + 52 = 16*q + s - 6, 5*s = 12*q - 277 for q.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2830 and 4770410.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z - 5. Let j be l(-6). Let s be (5 + -1)\/((-4)\/14). Let b be 2\/5 - s\/(-10). Put b, j, 5 in descending order.\nAnswer: 5, j, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mrqmvrbmvv. Give prob of sequence rmv.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 12722344 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: How many minutes are there between 7:33 AM and 9:01 AM?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -32\/1545 and 77\/4.\nAnswer: 6180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -58*q + 4. Let u be d(-3). Let w = 3028\/17 - u. What is the nearest to 0.06 in 0.1, w, 0.3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*3*(sqrt(162) - (sqrt(162) + 1*sqrt(162) - sqrt(162))) + (-3 + sqrt(8) - (sqrt(14)\/(sqrt(7) + sqrt(35)\/sqrt(5)) + sqrt(2))))**2.\nAnswer: -3*sqrt(2) + 19\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 84*c**3 + 25524*c + 15*c**3 - 25524*c.\nAnswer: 99*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 3, l: 1}. Give prob of picking 3 p.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -20*u + 4*u + 576. Let m(x) = -x**3 - 5*x**2 - 6*x + 6. Let g be m(-5). Let f = u - g. Solve d + 9*h - 5*h = 9, -d - h + 3 = f for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1385475017 to the nearest integer?\nAnswer: 37222","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -23 + 19 + -8 + (6 - (5 - -6)) + -36?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-594)\/165*(-3 - 1917\/(-54))\nAnswer: -117","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyuuyyuyuyuuu. Give prob of picking 1 u and 1 y.\nAnswer: 7\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3, -10\/9, 0.22?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1020022200 (base 3) in base 12?\nAnswer: -12083","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 804*o + 93252 = 36972 for o.\nAnswer: -70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - -350.3266734506?\nAnswer: 352.3266734506","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 122494 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 55*k**4 + 2*k**3 - 51*k**4 + 0*k**3 + (-2*k**3 + k**3 - 2*k**3)*(-4*k + 0*k + 3*k).\nAnswer: 7*k**4 + 2*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 304073?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -8*l + 3. What is p(11)?\nAnswer: -85","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 36455*b**3*m + 117524*b**3 - 2*b*m**2 wrt m?\nAnswer: 36455*b**3 - 4*b*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -2 - 2*(-11 - -4). Let u be (-4)\/m*(-4 + -23). Solve u = -5*b + 2*b, 2*w + 4 = -4*b for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:43 AM and 3:20 PM?\nAnswer: 217","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s**5 - s**2 + s + 1. Let g(p) = -3*p**5 + 2*p**4 + 7*p**3 + 2*p**2 + 2*p + 2. Let v(k) = -2*g(k) + 4*y(k). Suppose v(x) = 0. What is x?\nAnswer: -1, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u**3 - 33*u. Let h(f) = -34*f + 1. Let q(o) = h(o) - w(o). Let m = -1 - -4. Suppose -3 = m*g + 3. Determine q(g).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*d**3 - 408*d**4 + 846*d**4 - 416*d**4)*(-4 - 1 + 12).\nAnswer: 154*d**4 - 49*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 59 a factor of 211794011?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 4*a**3 + 9*a**2 - 56*a + 277. Calculate s(6).\nAnswer: 1129","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 93.89728 decades to months.\nAnswer: 11267.6736","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -538.8 + 538.9. Is w less than -493\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 2*w = 36. Let y(v) = -v**3 + 7*v**2 - 6*v + 9. Calculate the lowest common multiple of (3 - 24\/w)*30 and y(6).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y = -12, 5*s + 310*y - 31 = 312*y for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*l + 208 = -11*l. Round l to the nearest ten.\nAnswer: -210","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5 + -3.4. Let x = h - 0.6. Let g = 2.0146 + -0.0146. Which is the nearest to -2? (a) g (b) x (c) -1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jw when two letters picked without replacement from {j: 3, p: 1, f: 5, w: 4}.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the first derivative of 2*y**5\/5 + y**4 - 2*y**3\/3 - 2*y**2 - 10. Let m(w) = 0. Calculate w.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -31*j + 32*j. Let b be 0\/(-3)*(-2 + 3) - j. Let a = 13.1 - 10.1. What is the closest to -12 in a, 0.3, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 2*o + 0)*(4*o - 5*o + 2*o) + (46*o - 73*o + 44*o)*(2 - 2 - 2*o) in the form b*o**2 + c + x*o and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 34566 - 34571. Put g, 5, -467, 0, -3 in decreasing order.\nAnswer: 5, 0, -3, g, -467","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 5, s: 2, q: 8}. Give prob of sequence sqqq.\nAnswer: 4\/195","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 193943440 a multiple of 1240?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7 - -1. Let r(o) = o**2 + 7*o + 10. Let x be r(g). Suppose 3*v - 5*y = 8*v - 20, 21 = x*v + 3*y. Is 17\/2 smaller than v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-174999)\/(-13629) + -13 - (4 + 58\/(-14))\nAnswer: -1\/59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -28*(1\/2 - 0). Let z be 10\/14*(-98)\/m. Suppose 0*f + 10 = -2*f - 4*q, z*f - 3*q - 14 = 0. What is the biggest value in 0, 0.5, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (276\/20 + -8)*(-10)\/(-9) and -47\/7?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -3*m**2 - 4*m + 2. Let d be y(-4). Suppose 43 = w - j, -4*j = 4*w - 0*w - 132. Let t = w + d. Which is greater: t or 6?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from ejjejj?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 493 + 583 = 8*y - 79*y - 1693 for y.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12816 = 8*f - 26*f. Let p = f - 710. Solve 7*u - p = 9*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 22 and 3773\/171 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 129 + 168. Let f = -296.9999754 + b. Round f to six dps.\nAnswer: 0.000025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 235437 is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*g + 10*g = 92. What is the second derivative of 52*r - 43*r - g*r**5 - 6*r**5 + 12*r**5 wrt r?\nAnswer: -800*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 634 + -417. Suppose -2*m + o + 2305 = 0. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xj when two letters picked without replacement from {e: 2, j: 7, x: 4}?\nAnswer: 7\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, 3, 2, 32 in decreasing order.\nAnswer: 32, 3, 2, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -64 - (-15 + (4 + 2 - 25)).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f**3 - f**2 + 18. Let z = -96 + 5. Let j = -84 - z. What is the remainder when g(0) is divided by j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 4*u + 45 = 0, 2*n + n + 2*u - 25 = 0. Suppose 64 = n*l + 14. Solve -l = -3*t - h - 1, -t = -5*h - 3 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(343) - 3*(sqrt(343) - sqrt(343)*2)) + 1)**2 + ((sqrt(7) + 2 + 1 + sqrt(7))*-1)**2 + 2)*2.\nAnswer: 136*sqrt(7) + 11056","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6995387 nanometers in micrometers?\nAnswer: 0.0006995387","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 73\/3905508 and -99\/6509180?\nAnswer: 19527540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 5*k - 26. Let m be u(6). Suppose -12 = -2*l - m*l. Solve -4*f = -l + 6 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 221\/3 - 72. Find the common denominator of p and (-295)\/(-90)*(-3 - 0).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 3*o**2 + 3*o + 7. Let n = -2 + 2. Let w(r) = -r**2 + 6. Let x be w(n). Is s(x) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -3 (b) 9.46 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = l. Let u(m) = -128*m - 21. Let v(q) = -4*r(q) - u(q). Is v(5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 231 divide 24340?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 883010189 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2121185 a multiple of 148?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*v**2 - v**3 + 6*v**4 + 8*v**4 - 20*v**4 to w*v**4 + s*v + k*v**2 + h*v**3 + x and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = 2 - 14. Solve 2*d = q - 2 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 255*n**3 - 79*n**3 + 651 - 729.\nAnswer: 176*n**3 - 78","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - 2\/(-1)) + -13*57\/(-78)?\nAnswer: 25\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 11 - 7. Let y = 558.51 - 556. Let k = 2.61 - y. Which is the closest to 1\/5? (a) 3 (b) g (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve z = 3*l - 11, 4*l + 9 = 5*l + z for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**3\/3 + 944*m**2 - 123760*m + 12466304\/3.\nAnswer: -(m - 2696)*(m - 68)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3\/7, -5, -27?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2200 and 0.09?\nAnswer: 198","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -4 + 1*(-5 + -5*(4 + (sqrt(242)*-2 - sqrt(242))) + 5)**2.\nAnswer: -6600*sqrt(2) + 54848","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 4*n - 11 + 36 + 5. Let z be i(-18). Let g = z - -46. Solve 4 = -0*w + g*w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26 + -1 + (-46 + 11 - -8 - -36)?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = 5*s + 12, -u + 20 = 4*u. Let l(m) = m**3 + 5*m**2 + 5*m + 6. Let y be l(s). Solve 4*d - w + 12 = 0, -3*d = 3*w - y*w + 9 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -9 or -20?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1320?\nAnswer: 2, 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10639*z**2 + 5318*z**2 + 5324*z**2.\nAnswer: 3*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 2*y = 4, -5*g - y = 7 - 1. Let m be (-2)\/((-2)\/(-57)) + (-12 - -13). Let x = 169\/3 + m. Which is bigger: x or g?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -216*j**2 - 51*j + 117*j**2 + 106*j**2 - 147.\nAnswer: 7*j**2 - 51*j - 147","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 6b7 - -8?\nAnswer: 6c0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 553 minutes after 6:25 PM?\nAnswer: 3:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 9 - (0 + -4 + -1) - 7\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 33\/271867729 and -23\/77.\nAnswer: 2990545019","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 14 = -2*m - 2, 0 = -5*m - 2*u - 40. Let g = m - -12. What is the biggest value in -2, -0.4, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -28*g + 2. Let p(w) = 906*w + 690*w - 1591*w. What is u(p(a))?\nAnswer: -140*a + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 529477?\nAnswer: 13, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23223.\nAnswer: 3, 7741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -54406*h**2 - 54408*h**2 - 2 + 163252*h**2 - 54421*h**2 + 2.\nAnswer: 17*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 235 minutes after 9:13 AM?\nAnswer: 1:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:32 AM and 12:44 AM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-119)\/(-403) - (-13)\/((-1183)\/21).\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 17 - 3. Let h = z - 0. What is the units digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -101329 (b) -2\/5 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*d + 14 = -z + 25*d - 31*d + 24*d, 4*z + 2*d = -2 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:17 AM and 9:07 AM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 6 + 0 + (396 - -14). Calculate the greatest common divisor of t and 32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 - 0. List the prime factors of (3 - r) + (2 - 0).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 minutes before 1:35 AM?\nAnswer: 1:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 95823748 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: What is 77 minutes before 7:34 AM?\nAnswer: 6:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1221 + -1220. Sort y, 2, 164, -5.\nAnswer: -5, y, 2, 164","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 11 - 11.2. Let d = -0.08 - -0.06. Let b = -0.28 + d. Sort b, 3\/2, u in descending order.\nAnswer: 3\/2, u, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m**3 + m**2 + m - 4. Give l(4).\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 1, x: 4, f: 2, d: 12}. What is prob of sequence ddf?\nAnswer: 44\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:44 AM and 7:42 AM?\nAnswer: 298","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 297723662?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 387641 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -2*u**3 - 127*u**2 - 62*u + 79. Let w be x(-63). What is the nearest to -2 in -3, 10, w?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 64, -820, -1792, -2852?\nAnswer: -4000","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + (39 + -94 - ((-6 - -3) + -6 - 3))?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 407, 854, 1315, 1796, 2303, 2842?\nAnswer: 3419","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 + 16 = x. Suppose -x*f + 2240 = 2*y, 3*f - 4 = f. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-28)\/(a*a*a**(-3)*a)*(a**(1\/3))**11 assuming a is positive.\nAnswer: a**(-73\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*g - 2*s + 20, 184*g - 181*g = 5*s - 15 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/79324825 or 0?\nAnswer: -1\/79324825","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 3*n - 1. Suppose -3*j + 15 = 0, -2*g = -4*j + 20 + 4. Determine u(g).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2605 + -2614. Which is the smallest value? (a) -1\/5 (b) 0.1 (c) v (d) -0.04\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i**2 - 3*i - 8. Calculate z(-5).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 1 (b) 46 (c) 0.5 (d) 2\/8751 (e) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4)\/(-2) + 0 - 1. Let x be (-16)\/56 - (0 - 180). Let d = x - 180. Put d, 0.2, l in decreasing order.\nAnswer: l, 0.2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gssvog. Give prob of picking 1 v and 1 g.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-2))**(1\/9))**(1\/16) assuming u is positive.\nAnswer: u**(-1\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 18, -7673233, 5.\nAnswer: -7673233, 5, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*s**5 + 30*s**4 - 51*s**3 - 198*s**2 = 0. Calculate s.\nAnswer: -11, -2, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 109 a factor of 12862?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:54 PM and 10:40 AM?\nAnswer: 646","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 2\/5, -5, 5, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:59 PM and 10:11 PM?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -2*o**3 - 26*o**2 - 33*o - 26. Let m(q) = q**3 + 13*q**2 + 16*q + 13. Let b(z) = 3*h(z) + 7*m(z). Let x be b(-12). Solve -4*a + 19 + x = 0 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9180?\nAnswer: 2, 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 10.2 + -1.2. Let k = -11 + y. Put 1, -1, k in descending order.\nAnswer: 1, -1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 342 is divided by 114.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g = -3*h - 11 - 3, -3*h - g = -10 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5083617?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -42, 1 in ascending order.\nAnswer: -42, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, r: 1, b: 3, q: 2, h: 3, x: 2}. What is prob of picking 1 h and 1 q?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 4 - t - 5)*(101 + 248 - 129 + 322).\nAnswer: -542*t + 2168","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 114241 and 184?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 e when two letters picked without replacement from qqqqffeqbezqqfbsq.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = 5*m - 10, -2*m - 3*p = -6*m + 27. Let r = -23329\/1866 - -2\/933. Let f = 12 + r. What is the second smallest value in -5, f, m?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in three tenths of a day?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.0773 and 0.4.\nAnswer: -0.03092","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1156 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -30 times 56\nAnswer: -1680","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2815458 is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2907335701?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*j**3 + 15*j + 15*j - 25*j - 5*j.\nAnswer: 4*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 3.4*1.27774\nAnswer: 4.344316","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + sqrt(405) + 1 - 3*(((2*sqrt(50))\/sqrt(10) + sqrt(5))**2 - sqrt(5)) - (3 + ((sqrt(80) - sqrt(80)*-1*6) + sqrt(80))**2*-6).\nAnswer: 12*sqrt(5) + 30586","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3939?\nAnswer: 3, 13, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*y**2 - 3*y**2 + 3*y + y**2 - 2 + (8 - 2 + 2)*(1 + 1 + 2)*(y**2 + 3*y**2 - 2*y**2) to d*y**2 + a + g*y and give d.\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.1 (b) -9 (c) -3 (d) 0.2 (e) -7\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18975723*-21.\nAnswer: -398490183","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000074742 to 7 dps.\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j**2 - 11*j + 12. Let b be g(9). Let y = b - -6. Sort 0.4, y, 2\/3.\nAnswer: y, 0.4, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 225 is divided by 64.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6548 to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 13329064?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 54\/7 and -9\/661.\nAnswer: 4627","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 357, 1348, 2975, 5238, 8137, 11672, 15843?\nAnswer: 20650","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -3*m - 3*u + 4*u, m = 3*u - 4. Solve -3*b + 6*b - 17 = -m*t, 0 = -5*t - 5*b + 30 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - y + 19312 = 0, 0 = 441*l - 439*l + y - 38619. What is the greatest common factor of 43 and l?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 91, 177, 263?\n\"Answer: 86*k + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 114567332?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*i - 2*r = -13*i + 104, 4*r = -16. Let u = 20 + i. Calculate the smallest common multiple of 60 and u.\nAnswer: 780","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5771711263?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -99*x - 1256 = 4*w - 120*x, -w - 1079 = -18*x for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/(-24)*-2*(-8)\/(-1).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1 - 3)*(-2 + 1). Let x(u) = -u**2 - 6*u + 7. Let o be x(-5). What are the prime factors of (d - o)*(-8)\/10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.6 and -29.1?\nAnswer: 29.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -324 - -328. Solve 6*u + k = 10 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 109\/324060 and -81\/21604.\nAnswer: 324060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in 1, 3, -1\/10, 4?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 34 and 170?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 586\/45 - 64\/5. Let d = 8 + -5. Factor v*y**2 + 0*y - 1\/3*y**d + 0 + 1\/9*y**4.\nAnswer: y**2*(y - 2)*(y - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/16*((-5)\/15 - 1). What is the biggest value in 0.7, -0.1, k?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2103 + 0*k + 2*k**2 + 3*k - 3*k**2 + 28465 + 0*k.\nAnswer: -k**2 + 3*k + 30568","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -191, -3272, -8433, -15674, -24995?\nAnswer: -36396","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2db31 - -3?\nAnswer: -2db2d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -50 + 10 + -11 + 31?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -l**2*w**4 - 84*l**2 + 226*w**4 wrt w?\nAnswer: -4*l**2*w**3 + 904*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 36882 from -956449.\nAnswer: -993331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 4744633 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4 - -4. Let q = t - -1. Let f = q - 0.7. Put f, 2, -0.2 in ascending order.\nAnswer: -0.2, f, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k + 1. Let p(a) = -3*a + 6. Let d = -36 + 41. Give d*y(g) - p(g).\nAnswer: -2*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -10 + 22. Suppose -2*l - 4 = 5*p, l - 5*l = 5*p - h. What is the greatest common factor of l and 48?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5657 a factor of 821346933?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 a when two letters picked without replacement from {i: 9, a: 7}?\nAnswer: 21\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -25, -37, -39, -31?\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 101110 (base 2) in base 15?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 11 and 165.78?\nAnswer: 1823.58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 53\/6 of a day?\nAnswer: 12720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46*j + 96*j = -401*j + 16236 for j.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -67 - 2163*p + 67 - 7285*p to s + h*p and give h.\nAnswer: -9448","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11 + 5 - 1 - 27)*(450631 - 450631 + 668*l**4)*(-2*l - l + 4*l).\nAnswer: -22712*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 27*x + 364. Calculate p(-12).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*k*y**2 - 90*k*y - 9*k + 8*y**2 - 3*y + 415 wrt y.\nAnswer: -4*k*y - 90*k + 16*y - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 7*u. Let b(s) = 28*s - 4. Give x(b(g)).\nAnswer: 196*g - 28","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 23382532?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*z**4 + 3*z**4 - 6*z**4)*(4 - 1 - 2) + z**2 - 74077169 + 74078316 - z + 3*z**4 + z**3 - 2*z**4 to v*z**3 + o + u*z + a*z**2 + t*z**4 and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 12*t + 51. Let k be s(-4). Suppose 4*o = 2*o + 4*y + 390, -k*o - 2*y = -585. What is the hundreds digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 203*b - 46 = 148*b + 9. Sort b, 5, 4, 1115 in increasing order.\nAnswer: b, 4, 5, 1115","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:19 PM and 4:55 PM?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -17*m**2\/3 + 17827*m\/3 + 42040\/3.\nAnswer: -(m - 1051)*(17*m + 40)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 5*k + 5 = 0, -3 + 6 = -3*b + 3*k. Suppose 3*n - 5829 - 1314 = 0. Suppose -10*c + n + 4389 = b. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7067057479 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -10466200750 - -0.007\nAnswer: -10466200749.993","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -588*h**2 + h + 2. Give o(1).\nAnswer: -585","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dkkddkddddddddddddk. What is prob of sequence dkdd?\nAnswer: 455\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 101543 and 31991739.\nAnswer: 949","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 11551 - 4323150?\nAnswer: -4311155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**14)**(-4\/19) assuming q is positive.\nAnswer: q**(-56\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 172243 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -41\/1488038 and -79\/12.\nAnswer: 8928228","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1026 + 2670 = -45*i + 157*i. What is the remainder when 324 is divided by i?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 3526, 7146, 10918, 14914, 19206, 23866?\n\"Answer: 12*a**3 + 4*a**2 + 3524*a - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a and 1 y when three letters picked without replacement from iiyayiyaaayiyiy?\nAnswer: 36\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/4, -7, -129\/11?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1*(-8 - (73982 + -6)). Suppose 56*w + 8*w = g. What is the hundreds digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 654\/11990*10\/(1*-2)\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31847527?\nAnswer: 31847527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 863\/23322?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18614.53 - 122.1.\nAnswer: -18736.63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -1576356 divided by 2?\nAnswer: -788178","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 196 + 333*t - 4*t**3 - 5*t**2 - 36*t**2 - 227*t - 53*t**2.\nAnswer: -2*(t - 2)*(t + 1)*(2*t + 49)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 115*o - 37413 + 34193 for o.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 51*d**4*j - d**3*j - 81*j wrt d.\nAnswer: 204*d**3*j - 3*d**2*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 40*o**4 - 5*o + 27. Let w(i) = -39*i**4 + 4*i - 28. Let p(d) = -4*f(d) - 5*w(d). Differentiate p(a) with respect to a.\nAnswer: 140*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -208 = -9*u + u. Solve -3*g - 2*g - 6 = q, 0 = 4*q - 5*g - u for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 11.2 - 1.2. Let o = 10.1 - y. Let s = 6 - 6.3. Which is the nearest to s? (a) 0.4 (b) 4\/3 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 112638 = 5*t + 7029, -3*f = 6*t - 158403. Is 189 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -10*o + 4. Let s be j(-1). Suppose -c + 66 = s. What is the units digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -52*s - 18630. Calculate f(-357).\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the first derivative of n**4\/16 - 7*n**3\/12 - n**2\/8 + 7*n\/4 - 26. Factor l(t).\nAnswer: (t - 7)*(t - 1)*(t + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 45764?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43*f = -204*f - 849 - 922 for f.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 872251?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 7*l**2 + 82*l - 306. Let i be z(4). Solve -44 + i = 30*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 9*i**2 + 3*i + 6. Let n(z) = -5*z**2 - 2*z - 4. Let o(l) = 7*n(l) + 4*q(l). What is o(3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*z**2 + 0*z**2 - 2*z**2)*(-423*z + 22*z - 38*z)*(4*z - z - 2*z).\nAnswer: 878*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c\/(c**(-1)*c)*((c*c\/c**30)\/c*c)\/c*c**(3\/4)*c*(c*c\/c**(-7))\/c*c assuming c is positive.\nAnswer: c**(-69\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -143 + -4203000?\nAnswer: -4203143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1484608.\nAnswer: 2, 23197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r**3 + 8*r**2 + 8*r - 17. Let d = -80 - -96. Suppose d - 8 = i. What is the units digit of k(i)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4624 - 4474 = 1725*f - 33248 for f.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57*g = -4*g + 12415391. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*r + 0*r - 5*r**2 + (3 - 2*r - 3)*(-2*r + 5*r - 2*r) + r**2 - r**2 - 2*r**2 - r**2 + r**2 - 5*r**2 to the form f + u*r**2 + a*r and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 minutes before 11:31 PM?\nAnswer: 11:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -429 + 888 = -604*o - 691 - 662 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1043392757?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w**3 + 4*w**2 - 2*w + 2. Let p be y(2). Let q(s) = 5 - 3*s**2 + s**2 - s**3 + s + p*s**2. Determine q(5).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 45 and 486?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5694634.\nAnswer: 2, 11, 258847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the first derivative of d**5\/35 + d**4\/28 - 2*d**3\/21 - 26. Determine q so that j(q) = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -2*r**2 + 39*r + 44. Let p be w(19). What is the greatest common factor of p and 91?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 845 is divided by 34.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43*v - 2*k - 174 = 0, 4*k + 112 = -4*v + 92 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.7368632 to 2 decimal places.\nAnswer: -1.74","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*k**5 - 8538*k**4 + 2291718*k**3 - 7211756*k**2 - 39095616*k + 10188864 = 0. What is k?\nAnswer: -3, 1\/4, 6, 532","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((417\/5 - 4)*4)\/(27\/135) is divided by 157.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1587)\/(-1587))\/(1\/(-32))\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b. Let y(h) = -h. Let q(o) = o**3 + 12*o**2 + 20*o + 2. Let l be q(-10). Let u(t) = l*y(t) - 3*m(t). What is u(-1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2333.4 plus -8.555644?\nAnswer: -2341.955644","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -162 = -2*m - 0*m. Calculate the highest common divisor of m and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 + -25 - (2 - 34 - 1)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19303456?\nAnswer: 2, 41, 14713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the first derivative of -724*c**3\/3 - 726*c**2 - 8*c + 212. Solve i(l) = 0 for l.\nAnswer: -2, -1\/181","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 12320 = 5*k, 3*p + 12344 = 7*p + k. What is the units digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -35611*r**3*t**3 + 444*r**3*t**2 - 76264767*r**3 wrt t?\nAnswer: -106833*r**3*t**2 + 888*r**3*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8 - 4. Suppose -3*v = -z*v + 2. Sort v, -5, -4 in decreasing order.\nAnswer: v, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 8 = r + 3*h, 32 = 3*r - 5*h. Suppose 0*b = r*b + 16. Let t(p) = -7*p - 1. What are the prime factors of t(b)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 3*q - 10. Let z(s) be the second derivative of s**3\/6 - s**2\/2 + s. Let f be z(5). Calculate the lowest common multiple of 4 and y(f).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4329.1933 to the nearest 100.\nAnswer: 4300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*q**4 - 141672*q**3 + 425145*q**2 + 4817298*q + 6800688 = 0. Calculate q.\nAnswer: -47227, -3, -2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2036 + -2032. Solve -d + 0 = o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.2 and -1802.3?\nAnswer: 1802.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 26378?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 831402 is divided by 505?\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1574188, 3148414, 4722630, 6296830, 7871008?\n\"Answer: -i**3 + i**2 + 1574230*i - 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 83482?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 7, e: 3}. What is prob of sequence rr?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/9, -1073, -2.3 in decreasing order.\nAnswer: 2\/9, -2.3, -1073","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8976 + 13055. Is f a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -272*f + 3*f**4 + 272*f - f**2 + 947*f**3 + f**4 - f**4 to the form l*f**3 + w*f + a*f**2 + s*f**4 + q and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -110054 + 29126 = 2248*n for n.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 88*n**2 + n**4 + 2*n**3 - 6 - 21 - 41*n**2 - 49*n**2 - n + 7 to c*n + a*n**3 + w*n**2 + k + o*n**4 and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*p + 123 = -7. Let u(n) = n - 13. Determine u(p).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -556, -2245, -5062, -9007?\nAnswer: -14080","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0\/((-3)\/(6\/(-4))). Let j be 100*(-62)\/(-4) - x. Let g = 510 - j. Round g to the nearest one hundred.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*c + 2*m - 356 = 4*c, -2*c - m + 143 = 0. What is the greatest common divisor of c and 28?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 12 = 0, 0 = -4*h + 4*q + 29 - 9. Suppose 0 = 4*d + h*j + 6, 3*d + 6 = d - 4*j. Which is the third biggest value? (a) 3 (b) -5 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (17\/9 + -94 + 92)\/((-3)\/18). Let b be 6\/(-14) + 0 + 0. Let u = -4 + 3. What is the nearest to m in b, u, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 51\/4 of a litre?\nAnswer: 12750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 783*y + 0 - 16 = 799*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 10 + -110. Let b be i\/(-24) - (4 + 0). What is the biggest value in 1, -2\/5, b?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6\/3367 at least -0.794?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*g*q**2 - 196*g*q - 592*q**2 with respect to g.\nAnswer: 3*q**2 - 196*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*x**3 + 0*x**2 + 0*x**2.\nAnswer: 7*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**3\/(m*((m\/(m\/(m\/(m*m**(-3\/2)))))\/m)\/m)*m**(3\/7)*m**(-7\/6))\/(m\/(m*m*m**(3\/4))*m*m**(-5\/2))**8 assuming m is positive.\nAnswer: m**(583\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 2*i**2. Let h(z) = 9*z**2 - 20. What is 3*c(r) - h(r)?\nAnswer: -3*r**2 + 20","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 3 + 0)*(-w + 4 - 4) - w - 3*w + 6*w + w - w + 2*w.\nAnswer: 6*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is eighteen fifths of a litre in millilitres?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 0.05, 4664.514 in decreasing order.\nAnswer: 4664.514, 5, 0.05","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 113, 728, 4 in decreasing order.\nAnswer: 728, 113, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 172 minutes before 8:20 AM?\nAnswer: 5:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 2, 56, -1 in decreasing order.\nAnswer: 56, 5, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 5*x - 1 = m, -3*m = 2*x + 8. Let i be m*(-1)\/(-2) - -1. Suppose 0 = 5*w + 3*k + 2*k + 15, 3*w + 2*k + 8 = i. Put 2, -1, w in decreasing order.\nAnswer: 2, -1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 22 - 20. Suppose d - 2 + 4 = 0. What is the nearest to d in z, 0.4, 4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8 - -12. Suppose -v + 6 = -0*v + x, 0 = -v + x + 2. Factor -2*a**v + 2*a**4 + 2*a**h + 2*a**3.\nAnswer: 2*a**3*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*a**3 + 4*a**2 - 4*a**3 + 32*a - 31*a as r*a**2 + f*a**3 + b*a + l and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -p + 5*p - 0*p. What is the nearest to -2\/7 in p, 2\/15, 1\/4?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -4*w - 0*w. Let v be w\/(-15) - 116\/(-30). Solve -v*b + 23 = -2*m + m, -2*b = -4*m - 22 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3 - 3. Suppose -5 = 4*m + 7, -n - 7 = 3*m. Which is the third smallest value? (a) q (b) n (c) -1\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1\/2780 = 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100 + -111110111?\nAnswer: -111110011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mwcmmmcmmwfcwcgcmmf. What is prob of picking 1 f, 1 m, and 1 w?\nAnswer: 16\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 7\/36 or -20?\nAnswer: 7\/36","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 times 0.4019?\nAnswer: -2.0095","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that -75*l**4 - 7260*l**3 + 8793*l**2 - 2646*l = 0.\nAnswer: -98, 0, 3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 41871?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -67 + 39. Let t be (-2)\/7 - 64\/z. Let o = 21 + -18. Solve -o = -n - t*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -585851403 - -585851400.19999999. Let r = t - -2.8. Round r to 7 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (578\/(-8))\/((-18)\/72) + -1 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6 + -5. Let f be 3\/(0 - 3) + g. Solve f = 6*v - v - 10 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 582329 at least as big as 582333?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 509796 and 4500.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - (1 - (6 + -3))) + 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10760*p + 0*p**2 - 5*p**2 - 2*p**2 + 3*p**2.\nAnswer: -4*p**2 - 10760*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 885418 to the nearest integer?\nAnswer: 941","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/(-30))\/((-12)\/10)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 12 = -0*s - 4*k, -5*s - 20 = -5*k. Put s, -8, 1 in increasing order.\nAnswer: -8, s, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 14013 and 346.\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xxww when four letters picked without replacement from wbxbwxwwwbxxbbbbb?\nAnswer: 1\/238","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 786*c**2*w**2 + c**2*w - 2*c*w**2 + 2*c*w - 28*w**2 wrt c?\nAnswer: 1572*w**2 + 2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -5. Let i(b) = b + 4. Suppose 0 = m - x - 10, 2*m + 0 - 18 = x. Let d = 15 + m. Suppose 0 = -20*k + d*k + 15. Give k*i(r) - 4*u(r).\nAnswer: -5*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 546\/(-22) - (-8)\/(-44). Let p be 13\/5 - 10\/t. Suppose -5*h - 20 = 0, -4*h + p*h = -3*u + 16. Calculate the remainder when 10 is divided by u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1 - (1 - 1))*(12 + -12). Let t be w + 2\/12 + (-10595)\/(-6846). Find n, given that -t*n**3 + 8\/7 + 2\/7*n**4 + 26\/7*n**2 - 24\/7*n = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 23 (b) 0.5 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*x**2 - 5*x**3 + 3*x**3 + 5*x**2 + 3 to the form n*x**3 + s*x + a + h*x**2 and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pnnrpnprnnnnppnnpn. What is prob of picking 1 n, 1 p, and 1 r?\nAnswer: 5\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7670601*m**3 + 32*m**2 - m + 18530.\nAnswer: -46023606","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and -620898 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 13*d**5 - 5102503*d**4 + 396512644*d**2 wrt d?\nAnswer: 780*d**2 - 122460072*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -2*(-40)\/(-16)*-649?\nAnswer: 5, 11, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 646403 is divided by 806.\nAnswer: 797","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 30*i. Let q(h) be the first derivative of -h**3\/3 - 55*h + 396. What is t(q(o))?\nAnswer: -30*o**2 - 1650","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5*(-12)\/150*40\/48*8.\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*c**3 + 16701956*c**2 + 100211844*c + 150317820.\nAnswer: -4*(c - 4175495)*(c + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 15656591, 62626406, 140909431, 250505666, 391415111, 563637766?\nAnswer: 767173631","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 267288 and 4144.\nAnswer: 534576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.1291 + 0.0288. Let l = v + 0.100299154. Round l to seven dps.\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*w**5 - 6*w**4 - 45*w**3 + 108*w**2.\nAnswer: 3*w**2*(w - 3)**2*(w + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1970.37 rounded to the nearest ten?\nAnswer: 1970","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 432172739 smaller than 432172740?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 24707?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -11*h**2 + 5*h - 2. Let c(u) = -17*u**2 + 8*u - 3. Suppose -64 = -r + 9*r. Calculate r*z(n) + 5*c(n).\nAnswer: 3*n**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2423025 and 220.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 19647097?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -2*k**2 - 116*k - 431. Let d be b(-54). Let i = -240 - -651. Is i + -1 + -2 + d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 917564 and 9608?\nAnswer: 1835128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 6415291 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 41.55 + -40. Let n = s + -0.69. Let z = 0.7 - n. Which is the smallest value? (a) z (b) -1\/5 (c) -3 (d) -6\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/((36\/(-6))\/6)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2245 divided by -63\nAnswer: -2245\/63","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(3\/4))**50 assuming q is positive.\nAnswer: q**(75\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the first derivative of -145*d**4\/4 + 5*d**2 - d - 230. What is the second derivative of v(m) wrt m?\nAnswer: -870*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3504744 and 80024988.\nAnswer: 480149928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -338, -692, -1050, -1406, -1754, -2088?\nAnswer: -2402","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*b - 7*v = -97 + 22, -12*b + 18 = -12*b + 3*v for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 250, 1024, 2324, 4156, 6526, 9440?\nAnswer: 12904","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-2\/19)\/b*b**(-2\/13))**(7\/2) assuming b is positive.\nAnswer: b**(-2177\/494)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -26 + 31. Solve -8*a + w*a = 12 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9708 by -2.\nAnswer: -4854","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that -5*p**2 + 224835*p + 224840 = 0.\nAnswer: -1, 44968","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 117 - (122 + 0 + -5).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uqquuysquqsuqqsqyqqq. Give prob of sequence usyq.\nAnswer: 5\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5*((2\/(-15) - -2) + -2)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2186 is divided by 917?\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 3948 a factor of 1238598144?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1673656?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 1551\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 39083?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 222200 (base 3) to base 10\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -222 - -31501?\nAnswer: 31235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g**3 + 4*g**2 + 6*g - 3. Let z be h(5). Let l(k) = 2*k - 19. Let t be l(11). Solve z = -c + t for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 4 = -10. Let j = 20 - q. Is j a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -7*l**3 - 3*l**2 - 4*l - 5. Let s be m(-2). Suppose 4*i = -3*z + s, 3*i - 49 + 13 = -2*z. What is the greatest common factor of 7 and i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 924 and 300?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1170 - -1206. What is the highest common factor of l and 117?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22101134977 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -38.3697 plus -259?\nAnswer: -297.3697","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 269, 267, 265, 263, 261, 259?\n\"Answer: -2*k + 271","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*i + 29 = -10. Let t = 34 + -3. Suppose -6 = 2*h, i*u + t = -u - 5*h. Which is the biggest value? (a) 1\/8 (b) -11 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the third derivative of -n**4\/2 + 2*n**3 + n**2 + 21*n. Let i(y) = -1. Let k(p) = 4*i(p) + t(p). Let b(v) = -3*v + 2. Determine 9*b(w) - 2*k(w).\nAnswer: -3*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h - 5 = 3*h - k, -h = -5*k + 9. Suppose -3*s - h = -4*s. What is the second biggest value in 1\/5, s, 6, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 8447, 8473, 8503, 8537, 8575, 8617, 8663?\n\"Answer: 2*y**2 + 20*y + 8425","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1407585, 1407584, 1407583?\nAnswer: 1407582","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**(16\/7)*z*z*z*z*z\/((z\/((z*z**(-2\/27)\/z*z)\/z))\/z))\/(z*z\/z**(-17)*((z\/z**(-18)*z)\/z)\/z*z) assuming z is positive.\nAnswer: z**(-5630\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3 + -3. Suppose p*d + 6 = -3*d. Sort d, 0, 5.\nAnswer: d, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r - 1. Let d be n(-2). Suppose m = 2*v + 8, 5*m = -2*v + 3 + d. Suppose 8 = 4*k - m*w, -5*w = -3*k - 12 + 4. Is k a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -43 - -43.0000031. What is v rounded to six dps?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -2*t**2 - 741*t - 66158. Calculate w(-150).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 13.9046 - -0.0954. Let f = -135903\/5 - -27081. Let i = f + 99. Which is the third smallest value? (a) i (b) n (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 5*a, 3*h + 3*a = -a - 13. Let p = 0 - h. Are 2 and p nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 2*p**2 - 34*p + 45. Let y be v(9). Does -100 = y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1696711, -1696863, -1697017, -1697173, -1697331?\nAnswer: -1697491","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.4 and 3636610.\nAnswer: 3636610.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 5 + 5 = 0. Let g(q) be the third derivative of 3\/2*q**3 + 5\/24*q**4 + i*q + 0 - q**2. Let w(u) = u + 2. Give 2*g(c) - 9*w(c).\nAnswer: c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*c**3*f + 45*c**2*f**2 + 157*c*f**2 - 2*f**2 wrt c?\nAnswer: 12*c*f + 90*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ak when two letters picked without replacement from {e: 1, k: 3, a: 2, u: 1, i: 4, t: 1}.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -397 + 399. Let z(a) = -a**t - 6*a**2 + a**2 + 7*a**2. Let f(i) be the first derivative of -7*i**3\/3 + 1. Determine z(f(v)).\nAnswer: 49*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 2211010210 (base 3) to base 8\nAnswer: 154322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -187*p + 169*p + 54 = 0 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**4\/5 + 834*a**3\/5 + 333*a**2 + 832*a\/5.\nAnswer: a*(a + 1)**2*(a + 832)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 5, v: 8}. Give prob of sequence vvv.\nAnswer: 28\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1000.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1100465 (base 7) to base 13.\nAnswer: 49406","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -360 (base 10) in base 13?\nAnswer: -219","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -56\/9 and 67\/936?\nAnswer: 936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 398859893 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 120234 (base 7) to base 3.\nAnswer: 1002210220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.4, -1, -929, -3, -3\/8?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:32 PM and 7:15 AM?\nAnswer: 463","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -154*b**2 + 23*b**3 + 312*b**2 - 157*b**2 + 24*b**3 to m + c*b**3 + k*b**2 + g*b and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 33974837693 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**30*a**34)\/(a*(a*a**28\/a*a)\/a*a*a)**(-12) assuming a is positive.\nAnswer: a**436","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-26)\/7 + 8\/(-28).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -32 - 16*t**2 - 31*t**2 + 4*t**2 - 2*t wrt t.\nAnswer: -86*t - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37377472?\nAnswer: 2, 11, 53093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -457*u + 10534*u + 252330*u.\nAnswer: 262407*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 546 minutes before 5:06 PM?\nAnswer: 8:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the second derivative of 5*o + 0 + 0*o**3 + 1\/18*o**4 + 0*o**2 + 1\/45*o**6 - 1\/15*o**5. Factor a(u).\nAnswer: 2*u**2*(u - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 162608 is divided by 23106.\nAnswer: 866","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 9*r**2 + r + 1. Let i be q(-1). Let p be (1\/8)\/(i\/18). Which is the closest to -1? (a) 0.2 (b) -3 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = 4*o - 6. Suppose 2*u - 13 = -3*w, -3*w + u = -9 + o. Solve -2*s - 5 = -w*v - 6*s, -5*v = -4*s - 19 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11 - -1212221100?\nAnswer: 1212221111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 285 = -7*u + 2*u. Let t = u - -83. Suppose -4*s = -46 + 10. Calculate the remainder when t is divided by s.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 12*z = -13*z - 4422, 4*z = 8. Is 7 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 159526997?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -630, -684, -738, -792, -846?\nAnswer: -900","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is (-29 + 25)*37803\/(-12) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 299726295?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6 + -4. Suppose j*i - 7 = 17. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - -1)\/(49\/(-7) + 6)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 1230*a**2 + 91*a - 600. What are the prime factors of h(6)?\nAnswer: 2, 3, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 386, 753, 1108, 1445, 1758, 2041?\n\"Answer: -y**3 + 374*y + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1111*c*v**3 + 21*c*v**2 - 2*c*v + c - v**3 - 2*v**2 - 2619*v + 881 wrt v?\nAnswer: 6666*c*v + 42*c - 6*v - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*u - 4*m + 15, u - 19 = -2*m - 16. Calculate the highest common factor of 381 and u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2544827?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k - 18. What is f(-16)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f**3 + 6*f**2 - 14*f - 77. Let h(m) = 4*m**2 - 53*m + 7. Let q be h(13). What is the least common multiple of n(q) and 24?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -1\/2 (b) -5 (c) -0.6 (d) 0.1 (e) -4\/3 (f) 1.2434\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 86 is divided by ((2\/3)\/(-2))\/((-16242)\/1476 + 11).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*w - 3*w - 12 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -10*q**3*v**3 - 2*q**3*v**2 - 482*q**3*v + 2*q**2*v + 3*q**2 - 3*q*v**3 - 3742*q + v**3 wrt q?\nAnswer: -60*v**3 - 12*v**2 - 2892*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*l**2 - 3*l**2 + 5*l**2)*(7*l**2 - 16*l**2 - 7*l**2 + l + l**2 - l + (2*l + 2*l - 2*l)*(2 - 2 - 2*l) + l**2 + 2*l**2 - l**2).\nAnswer: 17*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -10 - -b9?\nAnswer: a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.7902 to 1 dp.\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = k - 3*d, 13*k - 72 = 8*k + 4*d. Suppose -8 = -f - 3*i, -f + k*i - 14*i + 10 = 0. What is the remainder when 64 is divided by f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/3 (b) -6 (c) 13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 19\/4 of a litre in millilitres?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -960, -958, -956, -954?\n\"Answer: 2*v - 962","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.1, -0.08, 3, 48?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -6*x**3 - 7*x**2 - 17*x + 7. Let g(f) = 2*f**3 + 2*f**2 + 6*f - 2. Calculate -7*g(d) - 2*q(d).\nAnswer: -2*d**3 - 8*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = -8*k + 74. Calculate the greatest common divisor of k and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 2*k**3 - 24*k**2 - 18. Give b(12).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-22)\/12 - (-112)\/(36960\/40205)\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 51266 - 0?\nAnswer: 51266","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (22 - 32 - -20) + -10.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 12868, 51567, 116066, 206365?\n\"Answer: 12900*f**2 - f - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i + 20*d = 55, -4*i + 27*d = 32*d + 10 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g = 2*g + 44. Let z(o) = o**2 - 2*o. Let l be z(g). Let d = l + -71. Is d a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-h + 3 - 3)*(4 - 1 - 2) + 4*h - 3 + 4 - 10*h.\nAnswer: -7*h + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 7\/2 + (-1119)\/(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*a**2 - 2*a**2 + 8*a**2)*(-2 + 2*a + 2)*(-3 - 2 + 3).\nAnswer: -52*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0, 129, -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 r when two letters picked without replacement from rerr.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -63.9 from 0.051.\nAnswer: 63.951","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p = -15, -155*a + 2*p - 15 = -150*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 2*g - 1 = 0, 2*u - 2*g = g - 4. Let n be (3 - 5 - -2) + 3. Suppose -n*v + 5 = -4*v. Sort -2, v, u.\nAnswer: v, -2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = 4*q - 7*s + 16, 28 = -4*q + 2*s. What is the biggest value in 3, 46, q?\nAnswer: 46","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/55 + (-138)\/(-253)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 4, j: 10, q: 1, u: 3}. What is prob of sequence qx?\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 - -0.96. Let z = -3.96 + n. Let w = -17\/4 - -7\/2. What is the smallest value in z, 0, w?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3966328 is divided by 870.\nAnswer: 868","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.069048 to two dps.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -12c + -6c424?\nAnswer: -6c551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 2*u. Let b be n(-2). Let a = -4 - b. Solve -8 = -2*q - a*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47*a = -45*a - 6 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1040, 2068, 3076, 4058, 5008, 5920, 6788, 7606?\n\"Answer: -g**3 - 4*g**2 + 1047*g - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -50\/91 and (287\/686)\/(2\/(-4)).\nAnswer: 637","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*f - 2*u - 28, -2*f + 10 = -f - 5*u. Let w be 3 + f*3\/6. Let c = -0.3 + 0.4. What is the third biggest value in 1, c, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + 1 + sqrt(32) + sqrt(32))**2 - ((sqrt(320) + sqrt(320)*-1 + sqrt(320))\/sqrt(10))**2.\nAnswer: 64*sqrt(2) + 112","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -3*c**2 - 5*c + 5. Let j(v) = 4*v**2 + 8*v - 8. Let w(d) = 8*a(d) + 5*j(d). Let m(n) = n**2. Determine w(m(z)).\nAnswer: -4*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -419808, -839541, -1259264, -1678977, -2098680, -2518373?\nAnswer: -2938056","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2995701*s**2 - 241320*s?\nAnswer: 5991402","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zqeeeeeeqezzeeze. Give prob of sequence eee.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 135, 60, -15?\nAnswer: -90","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1666.486 rounded to the nearest 1000?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 52.5295km?\nAnswer: 5252950","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 430 minutes before 7:49 AM?\nAnswer: 12:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 4218, 4908, 5596, 6282, 6966, 7648, 8328?\n\"Answer: -r**2 + 693*r + 3526","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31 = -20*n + 15*n - 3*y, 5*n + 4*y + 33 = 0 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 227, 303, 429, 605?\nAnswer: 831","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 9\/(-1) + 0\/3. Let h(t) = 3*t + 5. Let j(q) = 7*q + 11. Let m(c) = z*h(c) + 4*j(c). Let s(r) = 3*r - 1. Suppose -2 + 1 = -a. Determine a*m(g) - s(g).\nAnswer: -2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -3*p. Let r be -14 + -24 + 20 + 20. Let f(k) be the second derivative of -11\/6*k**3 + 0*k**2 + 0 - r*k. What is c(f(y))?\nAnswer: 33*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 44*o + 297 - 590 + 293 - 3*o.\nAnswer: 41*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -12*y + 64. Calculate the remainder when m(-9) is divided by 47.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 89044.32ml?\nAnswer: 89.04432","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 64 + -63. What is the highest common divisor of o and 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3657 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 143181 to the power of 1\/5, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6941 and 148230734?\nAnswer: 631","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6232 or -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/(-3) - 704\/(-6). Factor 58*d + 54*d**4 + 62*d**3 + 60*d**4 - 116*d**4 - o*d**2.\nAnswer: -2*d*(d - 29)*(d - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 6, i: 1, p: 3, q: 1, x: 1}. What is prob of sequence ixo?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/9 (b) -1 (c) -896\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that k**5\/5 - 3073*k**4\/5 + 240688*k**3\/5 - 3721184*k**2\/5 - 42110464*k\/5 - 92711168\/5 = 0.\nAnswer: -4, 44, 2993","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -698*b**2. Let c(g) = 155 - 3*g - 312 + g + 157. Determine c(m(v)).\nAnswer: 1396*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 355 - -40.4461.\nAnswer: 395.4461","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -24829\/4 + 6208. What is the closest to -0.1 in 2\/3, 8, c?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.2, 4, -2, 2, 128\/11?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*m - 4*m + 6*m - m**3 in the form q*m**2 + x*m**3 + w + g*m and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1756 - -1751. Which is the third biggest value? (a) l (b) 0.3 (c) 1\/851 (d) -2\/9 (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -103*c - 311 = -b, -3*b + 4578 - 4575 = c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 155201676 a multiple of 939?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the second derivative of d**5\/10 + d**4\/6 + 2*d**3\/3 + 30*d**2 + 130*d. Let t be p(0). Solve -11*s = s - t for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 16 and 15556?\nAnswer: 62224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 36e - -3de89?\nAnswer: 3e308","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2177, -4344, -6511, -8678, -10845, -13012?\nAnswer: -15179","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -19 (base 13) in base 5?\nAnswer: -42","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h**(11\/5)*h\/h**(-4\/31))**(-6\/17))**(2\/25))**(3\/7) assuming h is positive.\nAnswer: h**(-18576\/461125)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -9*x**2 + 6*x - 9. Let m(d) = d + d - 1 - d - d**2 + 0. Suppose -1556*u = -1529*u + 162. Give u*m(p) + y(p).\nAnswer: -3*p**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 140\/224 + 279\/(-48)*2.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.4 and 1.49387.\nAnswer: 1.89387","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1262256169 to the power of 1\/8, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 10*r - 9*r - 2*r. Let n(a) be the third derivative of 23*a**5\/60 + 140*a**2 - 5*a. Determine n(t(s)).\nAnswer: 23*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 3, j: 4}. What is prob of sequence zzzj?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1533?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3700 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1541035124?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in p**3 + 13*p**3 + 13*p**3.\nAnswer: 27*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10443*r**4\/2 - 76088052*r**3 + 277192642308*r**2 - 18792459216*r + 318514776 = 0.\nAnswer: 2\/59, 7286","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 8517195?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -7 divided by 5966\nAnswer: -7\/5966","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*w - 8 - 7. Let s(r) = 2*r**2 - 2*r - 4. Let k be s(-2). Suppose 0 = -4*g + 12 + k. Put -2, g, w in decreasing order.\nAnswer: g, -2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = -20, -y + 2265 = 5*q - 1843. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7200*n**5\/7 - 107440*n**4\/7 + 244718*n**3\/7 - 23038*n**2 + 33330*n\/7 - 306 = 0. What is n?\nAnswer: -17, 3\/20, 7\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-6)*y*y\/(y**(-18)*y*y) assuming y is positive.\nAnswer: y**12","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*n - 22*n = 140. Let l be (-5)\/35 + (-64962)\/n. Round l to the nearest one thousand.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 5 = 2*k, -a + k + 5 = 3*k. Let q = -117 - a. Which is bigger: -120 or q?\nAnswer: -120","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 10*(6\/4 + -1). Suppose -38 = -3*x - z. Suppose -562*o + 47*o = 387*o - 7216. What is the smallest common multiple of x and o?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.1, -5\/36, -1.4?\nAnswer: -1.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -10 (b) -315 (c) -2\/73 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -3104 (base 9) in base 11?\nAnswer: -1786","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rss when three letters picked without replacement from {s: 4, r: 2, j: 2}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2 + -2. Let w = k + 0.2. Let n = w + -0.4. Round n to 1 decimal place.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*w + 911 = 1247. Let i(u) = 19*u - 34. What is the remainder when i(6) is divided by w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 15 = -3. What is the smallest common multiple of 6 and z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(2299) + 2 + sqrt(2299) + sqrt(2299) - sqrt(2299) - sqrt(2299)) + -2)**2.\nAnswer: 22*sqrt(19) + 2300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*n**3 - 2*n**3 - 6*n**3)*(-16 - 17 - 1).\nAnswer: 204*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 2785 divide 54908795?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5\/66 in -31\/2, 2\/3, 5, -1?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -25 + 15. Let q(v) = 8*v - 30. Let c be q(4). Sort 4, c, o, 3 in increasing order.\nAnswer: o, c, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 2 = 0, -2*j + 2 = 3*y - 24. Solve 8*b = 3*b - 5*o + y, -3*b + 2*o - 4 = 0 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -7a + -4229?\nAnswer: -42a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 197 + -101. What is the tens digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1122 + 45?\nAnswer: -10aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -546*n + 261*n + 279*n.\nAnswer: -6*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 253*b**6 + 3*b**2 - 26.\nAnswer: 30360*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 167 divide 42084?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 20 = 0, -4*k + 5*w - 80 = k. Let l = 16 + k. Which is the biggest value? (a) l (b) -9 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2408143499 to the nearest integer?\nAnswer: 1340","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 175 minutes before 7:18 PM?\nAnswer: 4:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 45076.1 to the nearest ten thousand.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 389 + -380. Is 43 a factor of (-129)\/(((-162)\/120)\/v)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2475 and 110.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the first derivative of t**4\/6 + 28*t**3\/3 + 196*t**2 + 12*t + 20. Let s(h) be the first derivative of m(h). Factor s(b).\nAnswer: 2*(b + 14)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -53 + 128. Let n be c\/12*2\/(-3). Let u = -37.1 - -37. Is u > n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5111 and 1273?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 4, o: 3, c: 5}. Give prob of sequence oool.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -10c9b1 (base 13) in base 6?\nAnswer: -12320414","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3892)\/417*6\/(-8).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 471 is divided by 150?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -1 (b) 46\/5 (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qlq when three letters picked without replacement from rrlbrlqrrbrrrrrrqr?\nAnswer: 1\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -4*c**2 + 31*c - 40. Determine u(5).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -15*(8\/(-6) - 0). Suppose -4*u + 5*i = -23, l = i + 3*i. What is the remainder when u is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1*(-1)\/(-4)*-1. Suppose 0 = n + 2*n - 3. Let c = -0.5 + 0.5. What is the nearest to 0.1 in n, c, p?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z**3 - 9*z**2 - z - 10. Let f be g(9). Let u = -15 - f. Solve -j - 3*j - 4*n = 24, -u*n - 14 = -j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of u**4 + 172*u**3 - 20*u**2 + 116005*u wrt u.\nAnswer: 12*u**2 + 1032*u - 40","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + q + 1 + 2*q + 5*q - 4*q + (-6 - 1 - 1)*(0*q - 3*q + 4*q) + 0*q + 0*q - q as f*q + t and give f.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2821331 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**3\/4 + 547467*p**2.\nAnswer: -p**2*(p - 2189868)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = 1088 - 240. Suppose -318 = -2*u - q, -3*q - o + 202 = -4*u. Is 16 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 13503 and 56?\nAnswer: 108024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.009? (a) -1\/4 (b) -4 (c) 0.5 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 74083 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 132, 265, 398, 531?\nAnswer: 664","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 7558 and 22?\nAnswer: 83138","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -15*i - 208547 - 65503. Calculate the common denominator of -6\/5 and 3948\/i*(2\/(-4) - -2).\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(64)\/sqrt(128) + sqrt(6)\/(sqrt(18)\/(sqrt(6) - (2*sqrt(6) + sqrt(6)))) + -5.\nAnswer: -5 - 3*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -103\/148 - 2\/37. Let g(f) = f**3 - 33*f**2 - 71*f + 42. Let n be g(35). Let o be ((-2 - 64)\/(-3))\/n. What is the second biggest value in o, 0.5, x?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h**2 - 26*h - 21. Is j(-22) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5540659?\nAnswer: 5540659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -3*q**2 + 29*q - 17. Let l be b(9). Find the common denominator of l*-1 - 3225\/(-350) and -33\/14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -23385\/4 - -5845. What is the second biggest value in -1\/4, 9, f, -2\/17, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1 (b) 1.3 (c) 7562\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -12*n + 19*n - 5*n - 15. Give o(7).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 35274?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7407037 is divided by 228?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 270 + 25*r + 58*r - 102*r + 18*r to s*r + w and give w.\nAnswer: 270","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-11 + 11 + 47*l - 183*l)*(3*l - 3*l + l) to k*l + g + h*l**2 and give h.\nAnswer: -136","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1285732 and 1607165.\nAnswer: 6428660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -4*z**2 - 5. Let k(r) = -28*r**2 - 36. Let d(q) = 5*k(q) - 36*m(q). Let j(h) = 752*h. Determine d(j(y)).\nAnswer: 2262016*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 11*d**3 + 46*d - 4. Let y(w) = 45*w**3 + 182*w - 17. Calculate -9*h(i) + 2*y(i).\nAnswer: -9*i**3 - 50*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 2*r - 3*n, -2*r + n + 4*n - 15 = 0. Put r, -5, 1 in increasing order.\nAnswer: -5, 1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (7 - 47 - -19) + (2 - (-5 + -1))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 156.1 times 0.1\nAnswer: 15.61","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2 (b) -4 (c) 9 (d) -0.4 (e) -0.1 (f) -0.695\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -831\/8, -0.1, -17, 0.17, 4\/3, 3?\nAnswer: 0.17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 99\/19605514 and -73\/2734.\nAnswer: 19605514","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 4992440, 4992444, 4992448?\n\"Answer: 4*s + 4992436","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -127*w - 36 = -121*w for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 272218 and 55282.\nAnswer: 262","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 8047886305 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -49 - -52. Let q(r) = -m*r + r + 3*r + 2 + 4. What is q(-6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -30419, -30458, -30499, -30542?\n\"Answer: -x**2 - 36*x - 30382","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/(-10)*(-40)\/96.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 13946*a**2*i**2 + a**2*i*l**2 + a*i**2*l**2 + 9657*a*i*l**2 wrt a?\nAnswer: 27892*i**2 + 2*i*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirty-one halves of a litre?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 14420 and 196.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b + 6. What is n(5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that 2*f**4\/7 + 52*f**3\/7 + 338*f**2\/7 = 0.\nAnswer: -13, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 750 divided by -75.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10.91726 + 0.03974. Let a = h - -0.043. What is the closest to 0 in -4, a, 0.2, 5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -45, 5, -64041 in increasing order.\nAnswer: -64041, -45, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 226*y - 3*t = 221*y - 40, -11*y - 2*t = 45 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a**(-3\/2)\/a)\/(a*a*a**(-1)))\/((a*a**8*a)\/((a*(a\/(a*a*a*a**(-1)))\/a*a)\/a)) assuming a is positive.\nAnswer: a**(-27\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -66, -129, -192, -255, -318, -381?\nAnswer: -444","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 129*m - 26 = 155*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/4 - 38\/4. Let y be 6\/5*(-1 + -9). Let r = p - y. Is r a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 142*b - 299*b + 146*b - 1 - 4*b - 2*b + 5*b - 5*b + 0*b + 3*b + (-b + b + b)*(0 + 4 - 5) to j + y*b and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in 1.4, -1, 0.06, 2\/17, -5?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 1\/3, 0.1, -1.\nAnswer: -1, 0.1, 1\/3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 450706 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/h**(-3))\/(h*h**(3\/7)))\/(h**(-1\/3)*h)**(-3\/29) assuming h is positive.\nAnswer: h**(536\/203)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r**2 - r + 2. Let b be k(-2). Suppose -1552*x + 164 = -1556*x. Let i = -37 - x. Sort i, 2, 5, b in increasing order.\nAnswer: b, 2, i, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the third derivative of 7\/8*z**4 + 0 + 13*z**2 + 0*z - z**3 - 3\/20*z**5. Suppose n(y) = 0. What is y?\nAnswer: 1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 25\/(-5)*(-3 - -2). Suppose 2*a = -2*a + 12. Suppose -g*h = -3*p + 63, 4*p + 2*h - 84 = -a*h. Does 5 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -2*o**2 - 4*o + 2. Determine p(-5).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/(-3 + 1)*1. Let l be d - (-2)\/4*2. Suppose 2*r - 2 = -4*k, 0*k + 29 = 5*r - 2*k. Solve 3*m = 15, l*z - 4*m = -5*m + r for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1137.788 weeks in nanoseconds?\nAnswer: 688134182400000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2930249393 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l - 3*f = 30, -3*f + 6505 = 4*l + 6559 for l.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1100)*-5)\/(-5*sqrt(64)).\nAnswer: 5*sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -1\/3, -0.4, -12?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*((-3)\/(-6)*(-16)\/36)\/6.\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(76))\/sqrt(2))\/(sqrt(24)\/(-3*sqrt(12))).\nAnswer: 3*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -446148 divided by -8748\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 38099629 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -313012 (base 4) to base 3\nAnswer: -11211121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 34198 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 5936*v - 2694925. Determine g(454).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cgkchkgkgkcgkcccgcc. What is prob of sequence kgcc?\nAnswer: 175\/11628","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the first derivative of 2\/3*a**3 + 32 + 0*a**2 - a. Give n(-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q - 13. Let r be s(17). Suppose 0 = y + o - 98, r*y = 3*o + o + 352. Is 30 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -31*c + 65. Suppose -7*b - 3*r - 25 = -12*b, 0 = -b + 2*r + 12. Let n be d(b). Solve 5*v - 2*v = n*o + 6, 2*o = -5*v + 31 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 8 + dc?\nAnswer: e5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -29 - -31. Which is the biggest value? (a) -5 (b) 32 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j*j*j**(19\/5)*j**25*((j*j\/(j\/(j*j**(10\/3)*j)*j)*j)\/j)\/(j*j**(1\/6)) assuming j is positive.\nAnswer: j**(1049\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 134 divide 34238910?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 72*f + 167*f + 15848 = 21*f - 65*f for f.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 163 - 36?\nAnswer: 12c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -86333532483 - -0.4.\nAnswer: -86333532482.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -791*-0.2.\nAnswer: 158.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(1\/5)\/r)\/(r\/(r**(-2\/9)*r*r))*(((r*r**(-1\/3))\/r)\/r)\/r*r*r**(-6)*r assuming r is positive.\nAnswer: r**(-286\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 - 3449884*w**2 + 0 + 3449857*w**2 - 6*w to the form a*w + g*w**2 + q and give a.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 3, 47, -34\/7 in descending order.\nAnswer: 47, 4, 3, -34\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(45)\/((sqrt(108)\/(sqrt(48) + sqrt(12)) + sqrt(9) - sqrt(9)) + sqrt(9)) - -2*4*(sqrt(5) + 2).\nAnswer: 16 + 35*sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-16 + 19)\/(6\/12). Suppose 0 = p - 4 + 2. Solve -p*n = n + k for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 minutes after 5:36 AM?\nAnswer: 5:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-4)\/(x**(2\/17)*x))**(-13)\/(x**(-2\/9)\/x*x**(-2\/13)*x**(-5)\/(x*x**2*x*x*x)) assuming x is positive.\nAnswer: x**(156943\/1989)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 33*s + 26*s + 33*s + 36*s - 131*s. Let f(k) = -1750*k. Determine y(f(q)).\nAnswer: 5250*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10 + 1 - 12) + 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 147 and 168?\nAnswer: 1176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.2 - -0.8. Let c = -7338\/7 + 1048. Let s = -0.1 - 3.9. What is the smallest value in z, c, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 30 and 11\/391432.\nAnswer: 391432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2 - -4. Suppose 0 = -j + v*n + 1, 4*n + 13 = 3*j + 8*n. Suppose -x - j = -2*x. List the prime factors of x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1536 and 2976?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*(j*j\/(j*j*j\/(j\/j**(2\/33))))\/j*j)**28*((j\/(((j*j**4)\/j)\/j*j))\/j)**(-3\/2))**(-2\/51) assuming j is positive.\nAnswer: j**(-2132\/1683)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 559064186, 559064187, 559064188, 559064189, 559064190?\nAnswer: 559064191","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/5 (b) -2\/13 (c) -2\/33\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = 3*d + 355. Let c = d + 210. What is the units digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 203 minutes before 11:02 PM?\nAnswer: 7:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 1 + 5)*(-8 + 2 + 3)*(0 - 1 + 3)*(-32*c - 38*c + 7*c) to r*c + x and give r.\nAnswer: 1134","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 82\/9 - 337\/36. Which is the closest to 0? (a) 3 (b) -4 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3 - -1. Which is the nearest to 1\/7? (a) 2 (b) 1\/4 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = f - 2*f + 12, 2*q - 29 = -3*f. Suppose -5*t + 15 = -0. Suppose -t*h + h = 0. Solve h*p - 3*p + f = 0 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28 is divided by 24?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.4 and 5159.605?\nAnswer: -2063.842","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = 14 + 6. Calculate the remainder when n\/15*201\/(-1) is divided by 1\/5 + (-114)\/(-5).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -98051962 - -98051974.00000035. Let c = q + -12. What is c rounded to 7 decimal places?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1405 - 3?\nAnswer: -1408","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 26*n**3*o**3 - 17*n**3*o*q + 25*n*o**3*q + 7281*n*o**2*q + 4959*o**3 + 2*q wrt o?\nAnswer: 156*n**3 + 150*n*q + 29754","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0*1*3\/(-3). Let o be -7 - -6 - (d - -3). Sort o, -3, -1.\nAnswer: o, -3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 33 + -28. Calculate the highest common divisor of n and 30.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -151 divided by 1.\nAnswer: -151","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 286*u**3\/5 + 98*u**2\/5 - 16*u.\nAnswer: 2*u*(11*u + 8)*(13*u - 5)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -3, -4, -2 in increasing order.\nAnswer: -4, -3, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 255244 = -59*z + 311*z + 13324. Calculate the smallest common multiple of z and 24.\nAnswer: 960","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 9 - (-3 + 5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -3*((-6)\/2 + (-17)\/(-3)). Let z(b) = -31*b**2 - 38*b + 8. Let v(f) = -11*f**2 - 14*f + 3. Let i(r) = -17*v(r) + 6*z(r). Determine i(m).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(363) + -4 + 4 + 0)**2.\nAnswer: 726","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 26918, 27013, 27156, 27371, 27682, 28113, 28688?\nAnswer: 29431","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 3548*i**2 - 4*i + 5. What is the thousands digit of g(1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 585987388 to the nearest integer?\nAnswer: 24207","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 98413345 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/f**(5\/2))\/(f\/((f\/f**2)\/f)))**(-5\/2) assuming f is positive.\nAnswer: f**(45\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h**2 + 15*h - 40. Let g be n(-20). Let f = 63 - g. Suppose 8 = f*s + 5, 2*y = -3*s + 123. List the prime factors of y.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 22 + 4469?\nAnswer: 4490","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n = -5*x - 51, n - 5*x - 27 = 26 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -6*d - 1. Let b(s) = s**3 + 7*s**2 + 5*s - 7. Let z be (14\/(-3))\/((-6)\/9). Suppose 4*u = z*u + 18. Let h be b(u). What is r(h)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 24638 divided by 194\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 145 - 142. Let a(w) = w**3 - 2*w**2 - 6*w + 9. Let i be a(g). Solve -4*q - 4*l - 20 = i, -3*q = 2*q + 3*l + 19 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 117513379.\nAnswer: 607, 193597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4809*l - 4185*l + 6443*l = 297450 + 190173 for l.\nAnswer: 69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 193036830 or 193036829?\nAnswer: 193036830","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 56 - 126. Let v = 2 - 32. Let n be (8\/o)\/(6\/v). What is the closest to 0.1 in -0.3, 5, n?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -109751? (a) 2\/5 (b) 5 (c) -5 (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 166 minutes before 8:49 PM?\nAnswer: 6:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by -349\nAnswer: -3\/349","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 17759063 - 17759048.000122. Let c = m + -15. Round c to five decimal places.\nAnswer: -0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*q - 2*q = -3*q. Let z(y) be the first derivative of -3 + q*y**3 + 1\/4*y**4 + 0*y + 3*y**2. Find the second derivative of z(w) wrt w.\nAnswer: 6*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h**2 - 26*h - 44. Let v be k(-24). Solve -5*c = -c + v*m - 4, 4*m = 2*c - 14 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -18195289\/4 at least as big as -4548823?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(38)\/sqrt(2) + -1)**2.\nAnswer: -6*sqrt(19) + 28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 + 2 - 11*x**3 + 7 + 3*x**3 as y*x**3 + p + s*x**2 + m*x and give p.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 7510*s - 52538. Calculate w(7).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l - 11. Let r be h(6). Let k be 6\/r*(-30)\/12. Solve k = 3*f, 2*w = w - 2*f for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.19 and -1502652.\nAnswer: -1502651.81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 10*o**2 - 7*o - 14. Let c(s) = -7*s**2 + 5*s + 10. Let b(y) = 7*c(y) + 5*k(y). Let d(f) = -2*f + 9. What is d(b(l))?\nAnswer: -2*l**2 + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -282*y + 5589 = -39*y for y.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 11927201?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -13008, -26017, -39026, -52035, -65044, -78053?\n\"Answer: -13009*n + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 155 minutes after 6:28 PM?\nAnswer: 9:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2793?\nAnswer: 3, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1967285876 to the nearest integer?\nAnswer: 1253","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -b**4 + b**4 + 2*b**5 - b**2 + b**2 - b**5 + (-3*b + 3*b + 4*b**3)*(2*b**2 + 0*b**2 - 4*b**2) - 4*b**5 + 2*b - 2*b.\nAnswer: -11*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.053266 to two decimal places.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -3*2*(-1)\/3. Suppose -u = -y, 5*y + 2 = z + z. What is the units digit of z\/8 + 13\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.2 - 0.3. Let m = u - -0.8. Let o be (-177)\/295*-1*1\/(-3). Which is the nearest to -1? (a) m (b) 5 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v**2 - 2*v + 2. Let k be l(-3). Let i = k + 2. Let w be (3\/i)\/3 - -3. Solve -5*g = 7*a - 3*a + 28, 8 = w*a - 4*g for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.05 and -202.\nAnswer: -201.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -19*f**2. Let x(m) = 2*m - 11. Calculate h(x(s)).\nAnswer: -76*s**2 + 836*s - 2299","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the second derivative of 94*w**7\/21 + 5*w**3 + w**2\/2 + 2*w - 4. Find the second derivative of y(i) wrt i.\nAnswer: 3760*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that -3*c**4 - 132*c**3 + 165*c**2 + 1374*c + 1080 = 0.\nAnswer: -45, -2, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 5*s = 5*q - 36, 0 = -3*q + s + 8. Suppose -q*g + 2*g = 0. Is g less than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = d - 4*r - 13, 5*r + 11 = -4*d - 0*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the first derivative of -2 - 3\/2*b**2 - 11*b. Suppose -99*l - 106 - 272 - 414 = 0. What is f(l)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 40583956?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ljjp. Give prob of sequence pjj.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(1\/3)*k*k*k*k**(-1)*k*(k**(5\/4)*k)\/(k*k**4)*(k**(-3)\/(k\/(((k*k**(4\/7)*k)\/k)\/k*k*k)))**(-4) assuming k is positive.\nAnswer: k**(529\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7\/3, 296, -6, -5, -4, -33 in descending order.\nAnswer: 296, 7\/3, -4, -5, -6, -33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 354686831 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 59264.3 millilitres?\nAnswer: 59.2643","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 17620 + -3189.\nAnswer: 14431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1 + 4 + (-43)\/9. Which is the third smallest value? (a) q (b) 4\/15 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 7 = 19. Suppose 2*a - b*a = -6. Calculate the remainder when 5 is divided by a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1430400 (base 11) to base 6\nAnswer: -124421404","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 327 + -312. Calculate the remainder when z is divided by 11.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*s + 2*s + 16. Let a = -1\/2637 + 160865\/21096. Find the common denominator of a and 2\/28 + (-4)\/s.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32086 a multiple of 165?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 696*w**2 + 18*w + 6755?\nAnswer: 1392*w + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -5 + g - 347*g**2 + 333*g**2 - 4 + g**3. Calculate z(14).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6846199 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 23 - 10. Let i(o) = -o**3 + 4*o**2 - o + 4. Calculate the remainder when p is divided by i(2).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50*m + 152 = -48*m. Let q = -76 + m. Let a be 1 + q + -2 - -6. Solve 0 = -2*s - a - 3 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10633850 divided by -2126770?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 14018 + -3432. What is the highest common divisor of 158 and w?\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -615, -207, 501, 1509?\n\"Answer: 150*h**2 - 42*h - 723","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1020 + 506 + 514 - 2529*r to the form x + g*r and give g.\nAnswer: -2529","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 0.9608614mm?\nAnswer: 0.0000009608614","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -10*f**3 - 39658*f**2 - 158608*f\/5 - 6344.\nAnswer: -2*(f + 3965)*(5*f + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9258?\nAnswer: 2, 3, 1543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 309 minutes after 5:11 AM?\nAnswer: 10:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 3*p + 3. Let t(i) = 2*i + 3. Let a = -7534 + 7529. Give a*t(h) + 4*r(h).\nAnswer: 2*h - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 2, i: 1, x: 13, z: 3}. Give prob of picking 2 l and 1 i.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 6*a + 46. Let h be y(-11). Suppose 0 = -2*j + 2*o + o - 64, 3*j = 2*o - 96. Let z be j\/(-5) - 12\/h. Calculate the highest common divisor of z and 77.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:58 PM and 5:58 PM?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 7*p**2 - 6*p - 2. Let t(k) = -k**2 + k + 1. Suppose -52*z = 5*d - 57*z + 50, 0 = -5*z + 20. Give d*t(f) - i(f).\nAnswer: -f**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = 3*k - 2. Suppose -k*h + h = -32. Suppose 2*o = -4*m + m + 96, m = 2*o + h. Is m a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*j = 27*d + 14*j + 107, 3*j = -117*d + 118*d + 26 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*f + 3*f + 6*n + 239, 134 = 2*f + 4*n. Which is the smallest value? (a) f (b) 3 (c) 0.1 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 39120?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - -8) + -2 + -3 - -4?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -127, 1, -1, 2 in ascending order.\nAnswer: -127, -1, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 595 minutes after 9:38 PM?\nAnswer: 7:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 3*c = 6*c - 36, -2*g = -2*c - 12. Suppose 7*r + 3*r + 10 = 15*r. Solve b - g = 4*d, r*b + 21 = -4*d - b for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 668673 divided by 222891\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the second derivative of f**5\/120 + f**4\/36 - f**3\/36 - f**2\/6 + 5*f. Determine x, given that w(x) = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1304 and 65?\nAnswer: 84760","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 15424*1\nAnswer: 15424","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 23.655362 - -0.345738. Let g = m + -24. What is g rounded to 3 dps?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -992*p**3*u**4 + 2*p**3 - 601*p**2 + 1859*p*u**4 - 114*p - 3 wrt u.\nAnswer: -3968*p**3*u**3 + 7436*p*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 277203740?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -348811, -348810, -348809?\nAnswer: -348808","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3 (b) 130 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 752502 (base 11) to base 9\nAnswer: 2234310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 22 + -24. Is (3\/j)\/(6\/(-140)) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 386470 is divided by 74?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 9 in 101, -0.09, -4\/5, 2\/29?\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*g**2 + 4*g**3 - 2*g**3 - 5*g**2 + 5*g**3 + g**3 - 5*g**3 + (0*g**2 - g**2 - g**2)*(g + 2*g - g) - 24 - 78*g**3 + 26 - 150*g**3.\nAnswer: -229*g**3 - 2*g**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -3*g + 72. What is u(-11)?\nAnswer: 105","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 - 6 + 3 + a**2 + 0*a - 8*a**2 + 2*a to the form b*a**2 + m*a + o and give b.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 4 - 1)*(2 - 2 + 2*m)*(-48 + 28 + 26).\nAnswer: 12*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l + v - 5*v = -l, 4*l = 5*l + 5*v - 34 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*l + 5*l + 5*w - 13, -4 = -4*l + 4*w. Suppose -9876009 - 24024016 = 3*m + 5*t, -l*m - 33899985 = -3*t. Round m to the nearest 1000000.\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 49799, 99660, 149579, 199556, 249591, 299684, 349835?\nAnswer: 400044","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5623*h**2 - 6918*h**2 + 1456*h**2 - 930*h**2.\nAnswer: -12015*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -5*g + 4*v - 3, 2*g - 3*v = -1. Let i = -171 + 171. Is 39\/g + (-2 - i) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is x in 4*x**2 + 3228*x - 117880 = 0?\nAnswer: -842, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29 = -3*b - 8. Suppose -306 = 4*j - b*j. Is 27 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -5, -3, -2013, 4, -1, -69 in ascending order.\nAnswer: -2013, -69, -5, -3, -2, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -4*f**3 - 3*f**2 - 3*f + 3. Let b(a) = a**2 + a - 1. Let n be ((-2)\/(-6))\/(11\/(-33)). Determine n*d(y) - 3*b(y).\nAnswer: 4*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 11, 34, 1 in descending order.\nAnswer: 34, 11, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v**3 - 7*v**2 + 13*v + 3. Let t(x) = x**3 - 8*x**2 + 13*x + 4. Let z(j) = -4*i(j) + 5*t(j). Let d be z(11). Let o be d\/4*6\/(-8). Is o >= -5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the first derivative of n**4\/24 - n**3\/6 + n**2\/2 - 1. Let z(i) be the second derivative of f(i). What is z(-5)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2874262885?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3879*t - 3867*t - 70 + 22 = 0 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j**(-4\/3)\/j*j*j))**26\/(j*j**2)**(-1\/16) assuming j is positive.\nAnswer: j**(1673\/48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -87233 (base 14) in base 10?\nAnswer: -326973","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + (-44)\/((-88)\/(-8))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - b + 5 = 0, 3*o - 2*b = b + 3. Suppose -53 = -5*k + 4*g + 9, 2*k - 11 = -o*g. Let f = k + -6. List the prime factors of f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-q - 2*q + q)*(0*q**3 - 2*q**3 + 0*q**3) + 0 - q**4 + 0 - 6*q**3 - 10 + 0*q**3 + 43777*q**4 - 43783*q**4.\nAnswer: -3*q**4 - 6*q**3 - 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -1, 219.\nAnswer: -3, -1, 219","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/5)\/((-185 + 186)*(-10)\/(-125)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2 and 653.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 (base 3) in base 16?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f**3 - 1. Let o(i) be the first derivative of -17*i**3\/3 + 4*i**2 - 4*i - 27. Let u(a) = -2*h(a) - o(a). Is u(-5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -7\/18756 and 43\/6252?\nAnswer: 18756","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:33 PM and 6:59 PM?\nAnswer: 266","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = -3*l + 11, -10 = -3*l + 4*t - 9*t. Suppose -l*i = -2*a - 1525, 5*a + 1601 = 5*i + 91. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2 - 1)\/((-75)\/(-15)). Which is smaller: 0 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*p = 4*k - 68, 9*k - 5*k - 68 = 3*p for k.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Are -26\/17 and -18949 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 - (11 + 14 + -26).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1528 + -495. Let c = 1818 - d. What is the tens digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.567 (b) 6 (c) 2\/5 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 times 22148?\nAnswer: 22148","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3928485*v**4 + 10382382*v**2.\nAnswer: 94283640*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -208 or -207?\nAnswer: -207","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(0 + -4*sqrt(7)*-3 + sqrt(7)))**2.\nAnswer: 4732","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 173.\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 2*j - 4. Let z = -8 - -12. Let q be m(z). Find the third derivative of -4*i**3 + i**6 + q*i**3 + 5*i**2 - 10*i**2 wrt i.\nAnswer: 120*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:14 PM and 4:06 AM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -2 * 0.062\nAnswer: -0.124","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b**3 - 3*b**2 + 2*b - 12. Let v be i(4). Let j be (-2)\/(-14)*-4*(-6)\/v. Let f = -6 - -3. Which is smaller: j or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 443 - 439. Suppose z - 2*z + 13305 = -2*r, -2*z - u*r + 26618 = 0. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -2 and -0.0038.\nAnswer: -2.0038","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Total of 7887134.078661 and -5.\nAnswer: 7887129.078661","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*a + 4 = -20*a. Suppose 7*t = 3*t - 4*s + 12, 0 = a*t + s - 6. Factor 5*o**4 + 2*o**5 + 2*o**5 + t*o**5 - 12*o**5.\nAnswer: -5*o**4*(o - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 120, -5, -1, 2, 3 in ascending order.\nAnswer: -5, -1, 2, 3, 120","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -17986 to the nearest 10000.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in eight thirds of a hour?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 + 2)*(-50058)\/(-22248)*(1 + 62\/(-6))?\nAnswer: -105","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3726374*o = -3726419*o - 2610 for o.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.1 - 1.9. Let g = -0.8 - v. Let q = -2.5 + 0.5. Put g, 2\/11, q in increasing order.\nAnswer: q, g, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k\/(k**10\/k))\/k)\/(k\/(k*k*k**20)))**(-6\/29) assuming k is positive.\nAnswer: k**(-72\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a - 2*a - 2*k - 97 = -k, -327*a - 3*k = -317*a + 285 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of -13.89 and 0.6.\nAnswer: -8.334","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rja when three letters picked without replacement from fqjfrfarfra.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3857575911 to the nearest integer?\nAnswer: 1568","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h**3 - 22*h**2 - 23*h + 10. Let n be g(23). Solve 0*w - n = -5*w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 3*l**2 - 2)*(-2*l**2 - 2*l**3 + 2*l**2) + 3*l**5 + l**5 - 3*l**5 + (1 - 4*l - 1)*(-20*l**4 - 2*l**3 + 2*l**3) - l**5 + 2*l**5 - 3*l**5.\nAnswer: 73*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the second derivative of 0*x**2 - 13*x - 1\/105*x**6 + 0*x**3 + 1\/42*x**4 + 0*x**5 + 0. Factor s(z).\nAnswer: -2*z**2*(z - 1)*(z + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p\/(p\/(p*p**(2\/23))*p))**(-10)*(p**(-7))**6 assuming p is positive.\nAnswer: p**(-1216\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*(-1)\/7 - (-6 + 7)\/(35\/(-3280))?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 347358 is divided by 5189?\nAnswer: 4884","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -13 + 15. Let l = w - 2. Suppose -30*o + 27*o + 57 = l. Is 9 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51 = -5*v - 51 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 1 = -5*d - 35, -p = 3*d + 16. Let b(v) = -7*v - 15. Is b(d) a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 1, j: 1, c: 3, a: 2}. Give prob of sequence jrj.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = 89 + 112. What is the second derivative of -15*n - v*n**2 + 39*n**2 + 40*n**2 wrt n?\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 32.7788 to the nearest integer.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 1. Let c(y) = -56*y + 42. Suppose 0*n - 1 = 4*i + 3*n, -2*n + 22 = -3*i. Let f(k) = i*t(k) + c(k). Find the first derivative of f(v) wrt v.\nAnswer: -56","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m = -4*u + 20, -2*m + 393*u + 383*u - 35 = 770*u - 5 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 2*u + 1. Suppose v = 2*v - 1. Let g be a(v). Sort -1, g, 0 in descending order.\nAnswer: g, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 380, -2, 1, -515.\nAnswer: -515, -2, 1, 4, 380","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**2 + 3325236*a - 39902976.\nAnswer: (a - 12)*(a + 3325248)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1399 + -1423.816. Let i = w + 25. What is i rounded to 2 dps?\nAnswer: 0.18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwwlwwwwvlwwlwwlwl. What is prob of picking 1 w and 1 v?\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6762?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 0*h = -18. Suppose -n + 0 + h = 0. What is the units digit of 5 - 0 - n\/(-3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 728652?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*z**3 + 27891*z**2 - 111603*z + 83709.\nAnswer: 3*(z - 3)*(z - 1)*(z + 9301)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -755176 by 3.\nAnswer: -755176\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + (-15 - (2 + -10)) - 11.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m - 26 = 2*y, -61*y + 5*m = -63*y - 32 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4*(6\/4)\/(12\/8).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 2, -1, -2\/5, 3, -4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a. Let t(j) be the second derivative of -j**7\/70 + 3*j**4\/2 - j**3\/3 - 2*j + 5. Let n(r) be the third derivative of t(r). Give y(n(z)).\nAnswer: -36*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2 - -2. Suppose 5*y - h = -0*h + 30, -n*y + 2*h + 30 = 0. Factor 0*v**4 + 4*v**3 + y*v + 6*v**3 - 8*v**2 + 6*v**4 - 13*v.\nAnswer: 2*v*(v - 1)*(v + 2)*(3*v + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c**2 + 14*c + 1. Let g(k) = 13*k**3 - 9*k**2 - 322*k - 7. Determine -g(u) - 9*n(u).\nAnswer: -13*u**3 + 196*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50 = 2*i - 0*i. What is the lowest common multiple of 4 and i?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 v when two letters picked without replacement from vvnwoinonnvnwiinnnnn?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (39*t - 80*t + 5*t**3 + 33*t)*(-t**2 - t**2 + 4*t**2).\nAnswer: 10*t**5 - 16*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/5 in 3\/7, -5\/2, 1, -0.2, 2\/1979?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -1\/11, 0.04, 0.5, -1, -13?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.74181833 to 3 decimal places.\nAnswer: -0.742","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -7, 8, 41, 98, 185, 308, 473?\n\"Answer: t**3 + 3*t**2 - t - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the second derivative of v**5\/2 + v**3\/3 + 2*v. Let d(p) = -21*p**3 + p**2 - 5*p. Let t(w) = 2*d(w) + 5*q(w). What is f in t(f) = 0?\nAnswer: -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -45 + (-32 - -25 - -27)\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 2*m + 144 = 0, -4*v + 53 = -3*m - 91. Calculate the smallest common multiple of v and 168.\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 4) to base 12.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 337 - 161. Calculate the highest common factor of n and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -407 and -404673\/992 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**(-2\/5)*c)**27)**(2\/65) assuming c is positive.\nAnswer: c**(432\/325)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -143, -389, -715, -1163, -1775, -2593, -3659, -5015?\n\"Answer: -7*q**3 + 2*q**2 - 203*q + 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 1704*k. Let g(b) = 4*b + 1114. Determine v(g(d)).\nAnswer: 6816*d + 1898256","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 408753 is divided by 25547?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 661 minutes after 1:45 AM?\nAnswer: 12:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7353408 is divided by 652?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 14499476?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -44794, -89584, -134374?\nAnswer: -179164","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/209, -2\/5, -548, -43 in decreasing order.\nAnswer: -4\/209, -2\/5, -43, -548","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h**3 + 20*h**2 + 21*h + 10. Give f(21).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the first derivative of -l**6\/30 + l**5\/25 + l**4\/2 - 2*l**3\/3 - 9*l**2\/10 + 9*l\/5 - 3226. Let u(k) = 0. Calculate k.\nAnswer: -3, -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -519, -3913, -13103, -30981, -60439, -104369, -165663, -247213?\nAnswer: -351911","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 95 a factor of 1135593989?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6899?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o**3 - 211*o**2 - 1633*o + 129. Determine n(-8).\nAnswer: 201","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 82*w - 1 + 0)*((-3 + 0 + 4)*(1 + 2 - 2) + 3 + 1 - 3 - 5 - 2 - 6)*(2 - 1 - 2)*(-1 + 4 + 4) in the form z + v*w and give z.\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 18092254*d**2*f*k**3*z + d**2*f*k**2*z + 8189*d**2*f*k*z - d**2*k**2*z**3 - 3*d*f*k*z + 54*f*k**2*z**2 - 2*k**3*z**3 wrt k.\nAnswer: 108553524*d**2*f*z - 12*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -988, -967, -946?\nAnswer: -925","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -7, 0, -0.5, 8\/9 in ascending order.\nAnswer: -7, -3, -0.5, 0, 8\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -13 + 3 + 9 + 7*x in the form p + d*x and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 10, r: 10}. What is prob of sequence rrrr?\nAnswer: 14\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:24 PM and 2:24 PM?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 1529 divide 7974?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 less than -374?\nAnswer: -367","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -17 + 31. What is the remainder when 39 is divided by d?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = z + 4*o - 79, 0 = 2*z - 45*o + 47*o - 116. What is the remainder when 759 is divided by z?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x**2 - x - 15. Give b(0).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -29607, -59232, -88857, -118482, -148107, -177732?\n\"Answer: -29625*p + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 69437.4 litres in millilitres?\nAnswer: 69437400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/23, -12.4, -4, 2\/5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h**(-1)\/h))**(-2\/123)\/((h**(-6)\/h)\/h*h*h\/((h*(h**(2\/23)*h)\/h)\/h)) assuming h is positive.\nAnswer: h**(5694\/943)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/2, 24757, 3\/4?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 3*q - 6. Let z(d) = -8*d + 17. Suppose 18*w + 3*g - 54 = 16*w, 5*g = -w + 27. Suppose 102 = -w*i + 33*i. Determine i*h(y) + 6*z(y).\nAnswer: 3*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -300 divided by -6.\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the third derivative of i**6\/120 + i**5\/20 - i**4\/24 - i**3\/2 - i**2. Let r be 9\/2 - (-4 + (-27)\/(-6)). What is the hundreds digit of n(r)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -268.53102 to zero dps.\nAnswer: -269","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -20221112 (base 3) to base 5\nAnswer: -130223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 * 160864\nAnswer: 64345.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z - s + 3 - 2 = 0, 5*z + 2*s - 2 = 0 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 70868, 141741, 212614?\n\"Answer: 70873*f - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -3*l - 5. Let u be h(-13). Suppose u*p = 40*p. Determine j so that 0*j**3 - 2\/9*j**4 + 0*j + 0*j**2 + p = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = -5*n + u, 0 = n + 3*u - 7*u - 8 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the third derivative of l**6\/40 + l**5\/5 + 5*l**4\/8 + l**3 - 28*l**2. Factor x(s).\nAnswer: 3*(s + 1)**2*(s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 != -8\/942951?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 plus 153856474?\nAnswer: 153856474.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17873.\nAnswer: 61, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 14815 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j**2 + 4*j - 1. Let z be l(-5). Let x(o) = -22*o + 9*o + 11*o + z. What is x(5)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(228))\/(sqrt(3) - sqrt(54)\/sqrt(2)).\nAnswer: 6*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.013445 rounded to three decimal places?\nAnswer: -0.013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (((-16)\/(-10))\/((-14)\/5))\/((17100\/42)\/(-15))\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 642294459?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7513968, -15027942, -22541916, -30055890, -37569864, -45083838?\nAnswer: -52597812","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 15*j - 2*j - 7*j - 5*j. Let m(l) be the first derivative of -l**2\/2 + 3. Determine m(y(b)).\nAnswer: -b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (288 - -1) + -26 + 27. Suppose v - f - 523 = 0. Let d = 533 + v. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 212\/3 - 70. Let i = 400 + -378. Which is the second smallest value? (a) -0.5 (b) l (c) -4 (d) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xiju when four letters picked without replacement from {j: 1, x: 1, i: 1, s: 1, u: 2, p: 2}?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -146466.001 to the nearest 10000.\nAnswer: -150000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -334004310 - -3?\nAnswer: -334004302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4 and -274869112?\nAnswer: -1099476448","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -71276.5 - -0.2381\nAnswer: -71276.2619","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**0)**(-11\/3)\/((r\/(r*r\/(r*r*r\/(r\/(r**(4\/3)*r))))*r)\/r**(2\/9))*((r\/(r\/r**3))\/(r**(1\/2)\/r*r*r))**(3\/40) assuming r is positive.\nAnswer: r**(-2879\/720)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 2, -6, 5, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -4 + 3. Let t be 2 + r + (-11 - -10). Suppose z - m - 2*m = 547, 2*z - m - 1104 = t. Is z 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 {k: 4, p: 1, q: 5, b: 5, z: 3}. What is prob of picking 2 b?\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -1175.57137 to the nearest 100.\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -13*h**2 + 1677*h + 1. Let k be r(129). Which is bigger: k or -517\/16?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 50*q - 222. Suppose 1 + 3 = t - 3*b, 3*t - 40 = -5*b. Does 50 divide j(t)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(77)\/(sqrt(7) + sqrt(28)\/(sqrt(16)\/sqrt(4)))*-2 + 3 + (sqrt(275) + 0)*-1)**2.\nAnswer: -36*sqrt(11) + 405","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 2*x. Let d = 1 + 1. Let j(y) = -3*y**2 + 2*y**2 + 2*y**d. Determine r(j(t)).\nAnswer: 2*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d + 7. Let j be 5 + -2 - (2 - -8). Let a be o(j). Which is smaller: -1\/4 or a?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*x**2 - 2311*x\/5 + 77\/5.\nAnswer: (x - 77)*(30*x - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 40 and 126760?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47 - 17 = -2*x + 5*l, 2*x + 26 = 4*l for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1558)\/912)\/((-34)\/816)?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-2\/13))**8*(z**(-4)\/z)\/z**(1\/7) assuming z is positive.\nAnswer: z**(-580\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.01 - 6.01. Let y = 7 - n. Let t = 12.99904 - y. What is t rounded to four dps?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -23*((-2508)\/(-874))\/(-6).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 24665884?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 22*t**3 + 16*t**2 + 8*t + 165. Let s(j) = -128*j**3 - 97*j**2 - 47*j - 989. Give -6*s(a) - 35*u(a).\nAnswer: -2*a**3 + 22*a**2 + 2*a + 159","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 605270 to the power of 1\/2, to the nearest integer?\nAnswer: 778","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.0105 + 199.9895. Let d = -195 + f. Let r = 2 - -5. Which is the biggest value? (a) d (b) 0.5 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -380 divided by -76.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the second derivative of 0*k**2 - 6*k - 3 + 1\/20*k**5 + 0*k**3 + 1\/4*k**4. Let t(l) = -l**2 - 2*l - 3. Let j be t(-2). Give z(j).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2\/(-3))\/((-10)\/3675). Let l be (-196)\/(-588) - ((-424)\/6 - -1). Calculate the greatest common divisor of w and l.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -284.6 + 285. Which is the third smallest value? (a) h (b) 0.9 (c) -10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/(-6)*8)\/6.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*(x\/(x**(2\/5)*x))\/x)**(7\/11)\/(x\/(x*x\/x**2))**(36\/11) assuming x is positive.\nAnswer: x**(-194\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1937 + 1082 + 5843 = 21*n. Solve -411*f + n*f + 11 = 0 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -141*q**2 - 5*q + 275*q**2 - 1 - q**3 + q - 133*q**2 as u + n*q + i*q**3 + j*q**2 and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*i = -4*z + 146, -z + 39 - 81 + 75 = 5*i for i.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 420054 (base 7) in base 5?\nAnswer: 4301234","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/k**(-1\/10))\/k**11*(k\/((k**(-4)*k)\/k))**(-45\/4))**(2\/123) assuming k is positive.\nAnswer: k**(-441\/410)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 4 (b) -4 (c) 2.4 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 4*(-5 + sqrt(539) + 1).\nAnswer: -16 + 28*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 213, 425, 637, 849?\nAnswer: 1061","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1250856508?\nAnswer: 2, 11, 1307, 21751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*q + 3*q = 2*f - 3, -21*q - 2 = -6*f - 19*q for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 9\/110 and 91\/7430.\nAnswer: 81730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -87653 - -136733. List the prime factors of t.\nAnswer: 2, 3, 5, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(8)\/sqrt(2)*6 - sqrt(4))\/sqrt(2) + ((sqrt(36)\/sqrt(3))\/sqrt(6) + sqrt(2) - (sqrt(2) + sqrt(2)*1)*4)**2.\nAnswer: 5*sqrt(2) + 72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g**2 + 2*g - 5. Let d be u(2). Suppose -4*r - d*n + 97 = 0, 5*n - 4*n = -5*r + 113. What is the smallest common multiple of r and 2?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t = 8*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -549.1 - -548. What is the nearest to b in -4, 4, 2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -36803, -73614, -110425, -147236, -184047, -220858?\n\"Answer: -36811*i + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/21? (a) -1 (b) -3\/4 (c) 1 (d) -3 (e) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(1\/5))**(-25)\/(o**(-3\/8)*o*o*o\/(o\/(o**(-4)\/o*o))) assuming o is positive.\nAnswer: o**(-21\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t - 5. Let c be q(13). Suppose -5*j + 72838 = -s, 12*s - 58256 = -4*j + c*s. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -461*q = -14 + 14 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -341 + -10?\nAnswer: -401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = h + 4*x - 175, 3*x + 225 = -4*h. Let j be (-5 - 13)\/(1 - (-63)\/h). Let f = 288 - j. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -12*a*k*n*x + a*k*n + 2*a*k*x + a*k - 4*a*n*x - 178*a*n with respect to k.\nAnswer: -12*a*n*x + a*n + 2*a*x + a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -735.37, 0.6, -44 in ascending order.\nAnswer: -735.37, -44, 0.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w = -3230 + 3221 for w.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 2*q = -v - 150, v = -3*q + 25. Let j = v + -36. Solve 0 = j*p - p + 6 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*f = 30*f - 25*f - 39*f + 1898 for f.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -4*r**2. Let q(p) = -p + 14. Let c be q(12). Let t(g) = -g**c - 72 + 72. Determine t(x(i)).\nAnswer: -16*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 2*z. Let u = -4 + 7. Let p(b) = -u*b - 4 + b + 4. Calculate p(l(c)).\nAnswer: -4*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -3 + 1 - q + 2*q - 2*q. Let z be b(-6). Solve 3*d = -c - c + 20, -4*c + 32 = z*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 57 divide 110580?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t**3 - 10*t**2 - 528*t - 9. Give v(0).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, 1, -314 in decreasing order.\nAnswer: 1, 0.2, -314","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1508*g**2 - g - 149.\nAnswer: 3016","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -f**2 + 7*f + 7. What is o(6)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 87 and 5191.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1753\/7440 - -11\/48. Let f = 13\/93 + g. Let p(n) = n**2 - 12*n - 1. Let u be p(12). Which is the nearest to 1? (a) u (b) 5 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*y - 16*y + 231 = 0. Let a = 15 - y. What is the highest common factor of 18 and a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.47259757 to 1 decimal place.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -81\/80 and -77\/48.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 230267 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -99 at most as big as -106?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*-6*(-2*(2 + sqrt(1700)) + sqrt(1700) + (sqrt(1700) - ((sqrt(1700) - (4 + (1*sqrt(1700) - sqrt(1700)))) + sqrt(1700))))*-2)**2.\nAnswer: 3916800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c + 4*a + 35 = 0, 788 = -a + 783 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000003703649 to seven decimal places.\nAnswer: -0.0000037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5692*v**2 + 5689*v**2 - 11388*v**2.\nAnswer: -7*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -30525002232 - 2?\nAnswer: -30525002234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -462 + 465. Let u be (0 - (-1 - -1))*z\/(-6). Solve 0 = -5*f + 5*r - 15, u*r + 1 = -f + 2*r for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 - 3 + 1)*(2 - 3*m + 0*m - 3)*(8 - 8 - 6*m)*(210 - 210 + 8*m**2) as q*m**4 + w*m**3 + b + x*m + h*m**2 and give q.\nAnswer: -720","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a\/a**(-2\/9))**36 assuming a is positive.\nAnswer: a**80","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/120*-15*(-16)\/(-18).\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2277281867?\nAnswer: 7, 173, 1880497","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p - 20. Determine v(0).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -491 <= -492?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.1 + 0.1. Let q = 1.18 + -1.23. What is the third biggest value in q, o, 4?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28750 is divided by 54.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -c - 5*x + 20, -5*c - 10 = x + 2*x. Let z = 1 - c. Suppose -3 - z = -r. What is the lowest common multiple of 2 and r?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 937 - 1?\nAnswer: 936","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = 6 - 0. Let f(a) = 0*a - 7*a - 4 + a**3 - 7*a**2 - 2*a**3. Let u be f(-6). Sort 4, u, t in ascending order.\nAnswer: u, t, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-6)\/1*9\/(-54). Let i be 1 + 20\/(-12) + c\/(-3). Let u be (-2)\/(6\/(-3)) - (-5 - i). Solve -1 = -r - 2*o, -3*r = 2*r - 2*o - u for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1097*o + 2202*o + 35 = -n + 1102*o, 2*n + 20 = -o for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -b36d (base 14) to base 4.\nAnswer: -13202111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:22 AM and 1:01 PM?\nAnswer: 639","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of s**4 - 34512*s**3 - 11043545*s**2.\nAnswer: 24*s - 207072","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1411?\nAnswer: 17, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ymwgomh. Give prob of sequence yo.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i**2 + 4*i. Let u(q) = 44*q + 47*q - 126*q + 30*q. Determine -5*l(s) - 4*u(s).\nAnswer: -5*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1853 smaller than 103?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -84*x + 91242 + 89298 = 15228. List the prime factors of x.\nAnswer: 2, 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -92 by 92.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2826*j - 91799 = 110960 + 93971 for j.\nAnswer: -105","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 352 (base 15) in base 12?\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3147396906?\nAnswer: 2, 3, 3079, 170369","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:06 AM and 9:58 AM?\nAnswer: 172","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 17, h: 1}. Give prob of sequence htt.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve q**4\/2 - 233*q**3 + 17879*q**2\/2 + 65957*q - 165816 = 0 for q.\nAnswer: -8, 2, 49, 423","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000010301857 rounded to five decimal places?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -8 + (-4 - -2) + 3?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((1 + -2)*(-120)\/300)\/((-4)\/(-320)). Solve 16*l = d*l + 64 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y + m - 15, 3*m = -1 + 4. Find the second derivative of y*g**4 + 9*g**4 - 23*g**5 - 24*g - 23*g**4 wrt g.\nAnswer: -460*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + -2 + -2 + sqrt(432) + 0 + (6*sqrt(432)*-2 + sqrt(432) - (5 + sqrt(432)*-2)) + -3)**2.\nAnswer: 1728*sqrt(3) + 27729","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -26 - -25.7. Let p = 8 - 5. Which is the biggest value? (a) l (b) 2\/7 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 35*x. Let n(h) = 25*h. Calculate n(c(s)).\nAnswer: 875*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 746, 1281, 2178, 3437, 5058, 7041?\n\"Answer: 181*o**2 - 8*o + 573","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 7085?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + sqrt(8)\/(sqrt(16)\/sqrt(4)))*6)**2.\nAnswer: 216*sqrt(2) + 396","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:31 PM and 4:41 AM?\nAnswer: 670","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 9131 or 9126?\nAnswer: 9131","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 2*x**3 - 5*x**2 + 4*x + 1. Let y be j(3). Suppose 7*l - y = -1. Solve 5*z + 3*r = -16, 3*z + 1 + l = r for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5805 is divided by 1930?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1428778920 to the nearest integer?\nAnswer: 1126","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16517783?\nAnswer: 19, 73, 11909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = 10*g + 9. What is the nearest to 3 in 2, g, 0.3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.012008*11.\nAnswer: 0.132088","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -2284 from -0.34385.\nAnswer: 2283.65615","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 40345 + 139631 = 0. Suppose 0 = c + 4, -6*s = -s + 3*c - w. Round s to the nearest ten thousand.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + 3*j + (2*j + 0 + 0)*(0 - 3 + 1) + j + 5*j - 5*j + 4*j + 2*j - 7*j + 0 + 0 + j + 3*j - 3*j - j)*(7*j**4 - 3*j**4 + 2*j**4).\nAnswer: -6*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 89 divide 2047?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1211\/692*(-16)\/(-266).\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*y + 29 - 9. Suppose -11258 + 9455 - 33747 = -711*r. What is the greatest common divisor of y and r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 4, d: 10}. What is prob of picking 1 d and 2 p?\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1476 and 3222?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3017 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 50391 - 4 - 1*6*(-196)\/(-147)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1404 = -1065*r - 1073*r + 2144*r. What is the greatest common factor of r and 72?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m - 9 = 2*g, 99*g - 27 = 95*g - m for g.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ddaaadaa. What is prob of sequence ddda?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*m - 6*m + 3*m**3 + 2*m**3 - m**3 - 2*m**3 + (5*m - 6*m - 2*m)*(-2*m**2 + 2*m**2 - 3*m**2).\nAnswer: 11*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0381503 rounded to three dps?\nAnswer: 0.038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 255 is divided by 129.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7800668.\nAnswer: 2, 1950167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o**3 + 6*o**2 - 6*o - 7. Let a be g(4). Which is greater: a or 1.5?\nAnswer: 1.5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2475 is divided by 1709.\nAnswer: 766","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 73500002\/7 + 3\/((-63)\/6). What is y rounded to the nearest one million?\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of h**2*k + 17*h**2 + 66*h*k + 3*h - 5*k - 477 wrt h.\nAnswer: 2*h*k + 34*h + 66*k + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2a + 449?\nAnswer: 41a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -283, -352, -431, -526, -643, -788?\nAnswer: -967","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-861)\/164*(-4)\/14)\/(-4)?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -335 + 338. Which is the fourth biggest value? (a) 7 (b) h (c) 2 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0 and -510699808762.\nAnswer: -510699808762","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3, 3, -25, 2, 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 5541984?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 97984 and 3328.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3 - -1. Suppose -2*y = 4*c - 22, -c + 6*c = p*y - 5. List the prime factors of 1 + 0 + 12\/c.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z**(3\/4)\/(z**(2\/5)\/z))**48)**(3\/29))**(-9) assuming z is positive.\nAnswer: z**(-8748\/145)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from knmmqaf. What is prob of sequence mmk?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 69.76858ml in litres?\nAnswer: 0.06976858","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*k = 71 - 32. Put 0, -8, -3, k in descending order.\nAnswer: k, 0, -3, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 63*j**2 - 33*j + 1953. List the prime factors of p(-32).\nAnswer: 3, 71, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -61*p**2 + 57*p - 392. Calculate j(5).\nAnswer: -1632","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6777 - -18638. What is the ten thousands digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 16*c**5 - 6*c**5 - 2 - 11*c**5 - 3*c**2 + (-c + c**2 + c)*(4*c**3 - 4*c**3 - 6*c**3) + 6*c**5 - 3*c**5 - c**5.\nAnswer: -5*c**5 - 3*c**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.5 + 0.1. Let l = -116.8 + 123. Let j = -4.2 + l. Which is the third smallest value? (a) j (b) h (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the first derivative of -m**6\/3 - 3*m**3 + 3*m**2\/2 - 7*m - 27. What is the second derivative of y(j) wrt j?\nAnswer: -40*j**3 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2693242 divided by 81.\nAnswer: 2693242\/81","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 170 = -8*a. Let j = -24 + a. Solve 3*f + 1 = j for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-20*2\/(-12))\/(87\/((-30276)\/58))\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -64, 5, -75 in ascending order.\nAnswer: -75, -64, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*a**4 - a + a)*((6 + 2 - 4)*(-6*a - 3 + 3) + 6*a + 0*a - 4*a).\nAnswer: 44*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*r**3*w**3 - 68*r**3*w**2 - r**3*w - 2*r**3 + r**2*w**3 + r**2 - 2698059*r*w - w - 4 wrt r.\nAnswer: -24*w**3 - 408*w**2 - 6*w - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*i + 709 = -4*s - 11*i, -2*s = -4*i + 350. What is the remainder when 203 is divided by 204\/10*(-590)\/s?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from laeeadaaaie. Give prob of sequence ae.\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-24)\/(-6) + -6)\/(7*-4)?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4.27 + 0.27. Let y = 18 - 18.04. What is the nearest to 0.1 in y, z, -0.3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 6 - 5)*(-4 + 1 + 2)*(57 + 77 - 27)*(0*r**2 - r**3 + 0*r**2) to the form h*r**2 + q*r**3 + y*r + o and give q.\nAnswer: -321","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a year in months?\nAnswer: 21","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -14086895, -28173796, -42260711, -56347646, -70434607?\n\"Answer: -h**3 - h**2 - 14086891*h - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 123191 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 5475005 to the power of 1\/2, to the nearest integer?\nAnswer: 2340","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1 + 45\/3 + 1. Suppose -p = -m - 4*m. Let b(z) be the third derivative of -z**5\/60 + z**4\/24 + z**3\/6 + 2*z**2. Calculate b(m).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**17\/g**(-28)*(g*((g\/g**(-7))\/g)\/g*g)**(-21) assuming g is positive.\nAnswer: g**(-123)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**9)**(-5\/4)\/((r\/(r\/r**12))\/r)**(2\/35) assuming r is positive.\nAnswer: r**(-1663\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 25342, 25338, 25332, 25324?\n\"Answer: -g**2 - g + 25344","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/(-26)*(-370)\/4995?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*w + 527171 + 244109 = 0. List the prime factors of w.\nAnswer: 5, 31, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -40 + 46. Let x be (((-64)\/12)\/(-4))\/(a\/9). Solve -x*d - 10 = 4*y, 30 = -4*y - y + d for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -5436 <= -5441?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 199936\/(-65888) + 9\/3 + 0?\nAnswer: -1\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -30735 + 6?\nAnswer: -30727","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 9}. Give prob of sequence eee.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -11\/257480 or 0?\nAnswer: -11\/257480","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 59 + -7 + (24 - 16) + 7 + -10.\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that 5*s**3 - 85*s**2 - 20*s + 340 = 0.\nAnswer: -2, 2, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -l - 5*l + 1878. Suppose -2*j + 235 = -l. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q**3 + 19*q**2 + 24*q + 3. Determine n(20).\nAnswer: 83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 632*p + 37295. Let w be r(-59). Solve w - 4\/3*v - 1\/3*v**2 = 0.\nAnswer: -7, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 19 = -19. Suppose b = 3*j - 3*m - 3, -2*m - 4 = -m. What is the tens digit of (-199)\/j - 24\/72?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.19 + 0.1. Let c = 0.097 + f. Let g = 3.007 - c. What is the smallest value in -0.3, g, 2\/7?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0410034308 to 6 dps.\nAnswer: 0.041003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1*2*((-336)\/32 - -11). Are w and -1\/71 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2*-121\nAnswer: -24.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2 - -98b639?\nAnswer: 98b63b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 0 - (1 - -6 - (4 + 2))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 104*u - 160 = -108*u, -5*u = -25. Let s(i) = -i**2. Let l(h) = 10*h**2. Determine x*s(z) + 4*l(z).\nAnswer: 12*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4, -0.16, -5, 0.4?\nAnswer: -0.16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101111110 + 101101001001100?\nAnswer: 101101111001010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.01 and 0.258.\nAnswer: -0.00258","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 305686 divided by 676\nAnswer: 152843\/338","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 q when two letters picked without replacement from qtjjtbtytt?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-3)\/(-2))\/(-6*(-4)\/32). Let j be (-1205)\/6330 + (13\/6 - r). Let g = j - -6556\/633. Find the common denominator of 31\/3 and g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 5\/8 of a kilogram?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 4*l - 92 + 22 = 0, -4*p - 116 = 2*l. Let d be ((-4)\/(-12) - 0)*p\/3. Is (d - 71)*3\/(-2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 94741\/15 - 6323. Let i = 152\/15 + j. Factor i + 2\/5*l**2 - 12\/5*l.\nAnswer: 2*(l - 4)*(l - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the first derivative of 19*u**5\/20 + 11*u**4\/12 + 41*u - 10. Let j(n) be the first derivative of x(n). Find the third derivative of j(k) wrt k.\nAnswer: 114","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -540, 3, -3, -0.14 in decreasing order.\nAnswer: 3, -0.14, -3, -540","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.6774, 1, 5\/2 in ascending order.\nAnswer: 0.6774, 1, 5\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:52 AM and 4:40 PM?\nAnswer: 468","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*w**2 + 0 + 3 - 2)*(-15 - 6 + 5 - 7) to the form v*w + j + r*w**2 and give j.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19) - -4*(sqrt(19) + sqrt(1539)) - (4 + sqrt(1539)))**2.\nAnswer: -256*sqrt(19) + 19472","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -37*q + 38*q. Suppose d + 1 = -q*d, -28 = -2*n - 2*d. Calculate the remainder when 119 is divided by n.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27987991.\nAnswer: 27987991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(133) - sqrt(133)*2*5))\/(sqrt(7) - sqrt(63)*-5 - sqrt(7) - -2*sqrt(1008)).\nAnswer: 6*sqrt(19)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 114635 and 76255?\nAnswer: 505","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Is 3678 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zs when two letters picked without replacement from {w: 4, t: 7, s: 3, z: 4}.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-five halves of a century in years?\nAnswer: 2250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = 2*c + 2, 2*k = -4*c + 26. Suppose 2*l + 13 = -8*t + 3*t, -3*t + k = 0. Let u be 7\/l*2*-2. Solve 0 = u*h - 8, -4*a + a + 3*h = 15 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 124 and 9324.\nAnswer: 289044","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 2 g when three letters picked without replacement from gjgnnddgdndrg.\nAnswer: 9\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hr when two letters picked without replacement from hyhhyhllhhlhlr.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 14607155 at most 204500175\/14?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 360 and 708400?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 193663 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:59 AM and 12:19 PM?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 939*w**3 - 1866*w**3 + 923*w**3.\nAnswer: -4*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24080*r + 24111*r + 341 = 0 for r.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = -5*t + 184. What is the units digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6535?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 7224, 7378, 7622, 7950, 8356?\n\"Answer: -c**3 + 51*c**2 + 8*c + 7166","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -878 + 911. Calculate the least common multiple of 207 and w.\nAnswer: 2277","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3*a**4 - 8*a + 8*a - 10 wrt a?\nAnswer: -12*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*y**3 - y**3 + 0*y**3 - 17*y + 5*y**3 to the form t*y**2 + v*y**3 + m + n*y and give v.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v - 16908 = r - 16942, r = 4*v + 36 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5051 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - a = -360. Suppose 4*g + 0*u = 5*u + 17, 5*g - 5*u = 20. Suppose -s + a = g*s. What is the lowest common multiple of 6 and s?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 4*q - 16 = -8*n, 0 = -2*n - q + 4. Suppose n = -g - g. Sort g, 2, -2 in ascending order.\nAnswer: -2, g, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -9*x**2 - 8*x - 21. Let c be ((-14)\/(-21))\/((-8)\/60). Let u be b(c). Let j = u - -381. What is the hundreds digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -r**2 + 28*r + r**3 - 14*r - 13*r in the form n*r**2 + w + m*r**3 + u*r and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0 + 186\/26 + (-7)\/1. Which is the closest to -5? (a) -4\/9 (b) -2.1 (c) g (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 62 + -67. Let y be (-244)\/(-5) - 1\/w. Let g = y + -47. Solve -g*n = 2*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -117688.999949037 + 117689. What is i rounded to 7 dps?\nAnswer: 0.000051","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 64 and 8048?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v - 416. Let k(w) = -269*w. Calculate l(k(z)).\nAnswer: -269*z - 416","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3.47 - 573.53. Let i = x - -578.952. Let j = i + -2. What is j rounded to 2 dps?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1116 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.056 times -14269?\nAnswer: -799.064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 57 divide 1056?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*w**5 - 171272500*w**3 - 781412293*w wrt w.\nAnswer: -40*w**3 - 1027635000*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*h + 5*j - 6 + 8, 2*j - 1 = -h. What is the closest to h in 0.3, -2\/3, -142?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2274.0178 times 0.4?\nAnswer: -909.60712","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/177791 or 3\/4?\nAnswer: -2\/177791","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iiuqwiili. What is prob of picking 1 q, 1 i, and 1 w?\nAnswer: 5\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-3)\/2)\/((-6)\/16). Let p(t) = -t**3 + 6*t**2 - 3*t. Let g be p(v). Let m(u) = u - 5. Let x be m(10). Solve 0*i = -x*i - g for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3116 * 98066\nAnswer: 305573656","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 171 minutes after 4:56 AM?\nAnswer: 7:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 4 = -2*z, -4 = -2*z - 0*z + 5*a. Put 2, z, 1593 in ascending order.\nAnswer: z, 2, 1593","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3782028, 7564096, 11346164, 15128232?\nAnswer: 18910300","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -59*a**6 + 2*a**5 + 114*a**4 - 2*a**2 + 12*a + 722?\nAnswer: -7080*a**3 + 120*a**2 + 2736*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i**3 + 16*i**2 + 87*i + 40. Determine b(-10).\nAnswer: -230","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the first derivative of -4*m**3\/3 + 7*m + 3. Find the first derivative of k(y) wrt y.\nAnswer: -8*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - 9) + 11 - 8.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 38*j + 90*j + 2*j**2 + 55*j in the form p + u*j**2 + r*j and give r.\nAnswer: 183","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1331) + (sqrt(1331) - (-2*sqrt(1331)*-1 - sqrt(1331) - sqrt(1331))**2).\nAnswer: 22*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -641 = -5*q + 3*h, -3*q = -6*q - 4*h + 373. Suppose 3*s - 17 = q. List the prime factors of s.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the first derivative of 2451*k**2\/2 - 1078. Let o(j) = j. What is d(o(p))?\nAnswer: 2451*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((u**1*u)\/(u\/(u\/(u**13\/u))*u))**(10\/9))**(-14))**19 assuming u is positive.\nAnswer: u**(29260\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + (-4 + -1)\/(-5).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 1261?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 - 37 = -3*d + 3*v, 0 = d + v - 8. Sort d, -2, 44 in increasing order.\nAnswer: -2, d, 44","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9*15\/135*26\/(-2).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*f**3 + 51 - 51 - 4*f**3.\nAnswer: f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 88 minutes after 9:07 AM?\nAnswer: 10:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-176)\/(-10) + 14\/35. Find the common denominator of 74\/o + 14\/(-14) and (-5)\/(-4)*284\/30.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -39\/4*l**2 - 507\/2*l - 1\/8*l**3 - 2197 = 0. What is l?\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 236 + -247. Let t(k) = -3*k**2 - 33*k. Let f be t(y). Which is the second smallest value? (a) -3 (b) f (c) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 8190\/2201 or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -285542\/33 + 8654. Calculate the common denominator of k and -62\/27.\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.586 rounded to 1 dp?\nAnswer: -2.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 393362 is divided by 23?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4205*w**4 - 1808730*w**3 - 14445500*w**2 - 1966680*w - 67520 = 0.\nAnswer: -422, -8, -2\/29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 6211, 4434, 2655, 874, -909, -2694?\n\"Answer: -w**2 - 1774*w + 7986","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -11*m - 495. Let n be o(-45). Which is greater: n or 75\/298?\nAnswer: 75\/298","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 302 (base 4) in base 10?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 10973 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1155?\nAnswer: 3, 5, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -3778 divided by 3?\nAnswer: -3778\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -93122 divided by -4\nAnswer: 46561\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 10381\/310 - -2\/155. Calculate the common denominator of g and 9\/5.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:25 AM and 1:02 PM?\nAnswer: 517","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -140, -124, -104, -86, -76, -80, -104?\nAnswer: -154","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-24)\/4 + -1 + 9 - -18. Solve 5*r - 35 = -p for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -4, -3, 69, 2429, 1, 2 in decreasing order.\nAnswer: 2429, 69, 2, 1, -1, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 2*i = -g + 416, 2*g + 5*i = 837. What is the hundreds digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 2*p = -19, -2*f = f - p - 13. Let w(l) = 12*l**2 + 11*l + 14. Let o(n) = 8*n**2 + 7*n + 9. Give f*w(b) - 8*o(b).\nAnswer: -4*b**2 - b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9213882511.\nAnswer: 131, 1327, 53003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4 or -36\/7?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 3*q**2 - 5*q + 1. Let j(k) = -2*k**2 + 5*k - 2. Let z(h) = 3*a(h) + 4*j(h). Let t = 18 - 25. What is the units digit of z(t)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 9\/11 + -1 - (-162)\/(-198). Let v = 39 - n. Suppose -d = -2*d + v. What is the greatest common factor of 50 and d?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = -2*d + 51, 82 = 4*v - 3*d - 133. Let t = v - 161\/3. Which is the nearest to 2\/7? (a) -0.3 (b) -2 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 907.4 + -903.4. What is the smallest value in t, -8\/175, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29*f - 198*f + 246*f.\nAnswer: 19*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.9 + 0.845?\nAnswer: -0.055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3073 is divided by 102.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6073 divided by 4.\nAnswer: 6073\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 90 - ((267 - 241) + (-39 - 3))\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4844, -38792, -131024, -310712, -607028, -1049144?\nAnswer: -1666232","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*q + 2*w - 2559, -10*w + 9*w = 4*q - 3407. Does 37 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/p**(2\/5)*p)**(2\/63)\/(p**(-3)*p*p**(6\/11))*p**6\/(p*p**(-6)*p)*p*(p**(-1\/7)\/p)\/p*p\/((p*p**(1\/4))\/p)*p assuming p is positive.\nAnswer: p**(167879\/13860)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6649 + -1249. What is y rounded to the nearest one thousand?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fbkffkbkkkkbkbbfbkbb. Give prob of sequence bkk.\nAnswer: 56\/855","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -11540245 + 2?\nAnswer: -11540243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000092 to 7 dps.\nAnswer: -0.0000092","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (872\/16)\/109*(-24)\/(-1*2).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -13428 at least as big as -13432?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g - 3732 = -3742 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (30\/(-39))\/(-5) - 24\/(-13). Put -1, k, -4, -5 in increasing order.\nAnswer: -5, -4, -1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*i - 4*g + 48, 303*i = 307*i + 2*g - 24 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 714 minutes before 6:09 PM?\nAnswer: 6:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0 (b) -2\/7 (c) -2\/5 (d) 2\/37\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (78 - (324 - 110)) + 105?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/7, 0.3, -5.\nAnswer: -5, 0.3, 3\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 8 = -5*c - 0*c, -5*c - 17 = -3*k. Suppose 4*z - z = k. Solve z = v + 4 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5232 divided by -2.\nAnswer: 2616","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 10 + 12. Suppose 2*u = -j + 44. What is the units digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 408725873.\nAnswer: 408725873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the first derivative of 53*r**4\/2 + 13*r**2\/2 - 9*r - 183. What is the second derivative of b(f) wrt f?\nAnswer: 636*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2 - (2 + (-144)\/30). Suppose 3*m - 4 = 2*g - 5, -5*g + 3*m = -7. Suppose -r = -2*r + k + g, 4*k + 13 = 5*r. Which is smaller: q or r?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2268 to the power of 1\/3, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8678 divided by -122.\nAnswer: -4339\/61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1165?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/((-2)\/3*16623\/25858).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 29, 87, 183, 317?\nAnswer: 489","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -17*z**2 - 11*z**3 - z**4 + 5*z**3 + 5*z**3 + 186*z + z**3 wrt z?\nAnswer: -12*z**2 - 34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x + 59 - 71. Let m = -12 + 12. Solve 2*k = -w + 1, -4*k + m*w - 4*w = -x for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 513044746 a multiple of 166?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-13 - -13)\/((-1)\/(-2)*6). Suppose 5*q + 3762 = 3*d, d = q - b*q + 1256. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -193997674 divided by -1.\nAnswer: 193997674","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 21 - 2. Suppose f - 3 = -s, -3*f - 7 + n = 4*s. Solve f = -5*y - 3*h - 14, 2*h - h = 5*y + 22 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 279 in -3187, -32, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*z = -98 + 62 for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the first derivative of 4*g**5\/5 + 59*g**4\/4 - 391*g**2 - 4801. What is the second derivative of f(s) wrt s?\nAnswer: 48*s**2 + 354*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 58, 147, 238, 331, 426, 523, 622?\nAnswer: 723","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 219*m**2 - 21*m - 77. Is x(-4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*t**2 + 28*t**2 + 14899*t - 20*t**2.\nAnswer: -8*t**2 + 14899*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = 2*b + 2*b. Let w = b + 4. Let h = 8 + w. Solve h*z = 7*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3862940 rounded to the nearest one hundred thousand?\nAnswer: -3900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f + j + 51 = 0, 67 = -9*f + 3*j - 20 for f.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5046 a multiple of 52?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -378, -6, 0, 1, -3 in descending order.\nAnswer: 5, 1, 0, -3, -6, -378","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 51 - 56. Let u be (-1)\/a - 1779999\/(-5). Round u to the nearest 10000.\nAnswer: 360000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(112) + sqrt(7) + 4)*4 - (sqrt(14)\/(sqrt(4)\/sqrt(2)) + 0 + sqrt(28)).\nAnswer: 16 + 17*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*b**2 - 6*b**2 + 2*b**3 - 19*b - 5*b**3.\nAnswer: -3*b**3 - 19*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the first derivative of i**6\/18 - 2*i**5\/5 - 17*i**4\/12 + 2*i**3\/3 + 8*i**2\/3 + 1020. Solve y(c) = 0 for c.\nAnswer: -2, -1, 0, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -11642, -11646, -11652, -11660, -11670, -11682, -11696?\n\"Answer: -d**2 - d - 11640","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = 4 + 3. Let d be m\/(-28) + 1\/(-4). Is 1 < d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -3 + 5 + 4 + -2. Solve -p + 0*p = 1, j*p - 16 = 5*a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 104.6 and 0.18674264.\nAnswer: 104.78674264","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 45 = l + 12, 4*c - 72 = 4*l. Suppose 3*r = -y - y - 5, -6 = -2*r. Let d = c + y. Does 3 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o = 0, -442*b = -421*b - 4*o - 42 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:50 AM and 10:22 AM?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 73 + 7. Let y = f + -83. Sort 0.3, 0.7, y, 4\/3 in increasing order.\nAnswer: y, 0.3, 0.7, 4\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:53 AM and 5:49 PM?\nAnswer: 596","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -68 + 62. Let q = -15 - g. Which is greater: q or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*sqrt(152)\/(sqrt(80)\/sqrt(360))*-1 + ((sqrt(228) + 5*(sqrt(228)*-1 - sqrt(228) - sqrt(228)))\/((-2*sqrt(96))\/sqrt(8)))**2.\nAnswer: 24*sqrt(19) + 931","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.2 (b) 4 (c) -2\/81\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.1 and 814.50117.\nAnswer: 81.450117","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c**2 + 10*c - 7. Let h be g(8). Let v be ((-1)\/2)\/((-2)\/176). Suppose -w = -v + h. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 times 6.92?\nAnswer: -103.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*y - 4*y - 11*y - 7696*y**2 + 19*y as q + o*y + m*y**2 and give m.\nAnswer: -7696","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -149*n + 6*n + 48 = -95 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the third derivative of -l**4\/12 - 2*l**2. Let y(f) = 882*f + 84. Let q(h) = 52*h + 5. Let b(j) = 84*q(j) - 5*y(j). Calculate b(m(k)).\nAnswer: 84*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1505669461 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 43193 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -79 - f**2 + 79. Let x be (52\/(-8))\/((-2)\/4). Let z(t) = 11*t - 14*t - 22*t - x*t. What is i(z(w))?\nAnswer: -1444*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 25843054 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 195 divided by 962?\nAnswer: 15\/74","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12795 is divided by 3932.\nAnswer: 999","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 1464?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 24313 (base 7) to base 8\nAnswer: 14273","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12629.\nAnswer: 73, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 241 is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -6*y - 2. Suppose 4*w - 15 = -w. Suppose 0 = -g + 35 + w. What is the remainder when g is divided by s(-2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 137258.\nAnswer: 2, 11, 17, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 18, 27, 28, 15, -18?\nAnswer: -77","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3897 and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1043 + -3?\nAnswer: -1050","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2 - 2)*(p**2 - 2*p**2 + 3*p**2 + (2 - 2 + 2)*(0*p**2 + 2*p**2 - p**2) - 3*p**2 + 5*p**2 - 4*p**2).\nAnswer: -12*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -8*q. Let z(m) = -3*m. Let d(k) = -4*a(k) + 10*z(k). Let b(u) be the second derivative of u**4\/6 + 5*u + 3. What is d(b(s))?\nAnswer: 4*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10)\/(-8)*(-3968)\/3472.\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 115 and 15441970.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 8622?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 104789309 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the second derivative of -b**3\/2 + b**2 + 9*b. Let x(g) = -13*g + 9. Determine -9*p(r) + 2*x(r).\nAnswer: r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1 - -1) + (-1 - (3 - -2)). Let s(u) = u**3 + 7*u**2 + 11*u + 6. Let m be s(f). Let a(q) = 4*q + 16*q + m*q. Let d(c) = -2*c**2. Determine d(a(l)).\nAnswer: -1800*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/10 and 53\/10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -1921, -3846, -5773, -7702, -9633, -11566, -13501?\n\"Answer: -o**2 - 1922*o + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 41*j**5*z**3 + 3*j**4*z**3 - 8*j**2*z**3 - 132*j*z**3 wrt j.\nAnswer: 2460*j**2*z**3 + 72*j*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zsgsnszznzszqqc. What is prob of sequence qg?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -36*g**2 + 173*g + 13. Determine h(5).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.036 and 3706?\nAnswer: 133.416","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7.4 - -7. What is the closest to -0.1 in 0.5, 0.3, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 27 - 25. Suppose -s = -3*d, -5*s + g*d + 39 = -0*d. Calculate the remainder when 42 is divided by s.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 39496063?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -543.4187794322 + 471.266173656. Let w = 0.1526026562 + v. Let n = 72 + w. What is n rounded to 7 decimal places?\nAnswer: -0.0000031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47*q + 17*q - 19*q = 135. Solve 174*k - 170*k - 6 = 3*u, 2 = -u - q*k for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2564438 to the nearest integer?\nAnswer: 1601","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d**3 - 3*d**2 - 3*d + 1. Let x be -3 + 0 - (-8 + 3). Suppose 19 - 25 = -x*v. What is the remainder when f(-3) is divided by v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7 - -11. Suppose 0 = 3*z - 4*u + 63, -36*z = -33*z + 2*u + 63. Sort a, z, 2 in decreasing order.\nAnswer: a, 2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 10*t**5 - 76*t**4 + 42*t**3.\nAnswer: 2*t**3*(t - 7)*(5*t - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -211 + 287. Let l be 534\/o + -1 + -6. Which is the third smallest value? (a) l (b) -3 (c) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 48601 - 31963. What are the prime factors of g?\nAnswer: 2, 3, 47, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*a - 14*a = -102. What are the prime factors of a?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 2760?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 39584706 to the nearest integer?\nAnswer: 341","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -45a8a10 (base 12) in base 14?\nAnswer: -1ad1416","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -20*i + 30. Let n(k) = -47*k**2 - 4*k + 37. Determine n(t(g)).\nAnswer: -18800*g**2 + 56480*g - 42383","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 213 - 373. Let h = r - -160.99. Let y = 0.9899907 - h. What is y rounded to six dps?\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 2*f + 5. Let u be (-4)\/(6\/(-3)) - -2. Suppose u = 2*c - 2. Let g(x) = x + 3. Determine c*n(p) - 5*g(p).\nAnswer: p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(114) + 6*sqrt(114)*-2 - (((-2*sqrt(114) - sqrt(114)) + sqrt(114))*-3 + sqrt(114)))\/((sqrt(726)*-2 - sqrt(726))*-1))**2.\nAnswer: 684\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h + y - 28, -4*h + 0*y = -5*y - 94. What is the greatest common factor of 65 and h?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -116, 2, 1, 3, -3 in ascending order.\nAnswer: -116, -3, 1, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -4668 smaller than -0.043?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + 1 + (-1 + sqrt(3564) - sqrt(3564)) + -3*(2*sqrt(539) + -2))**2.\nAnswer: -588*sqrt(11) + 19453","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 95899 = 2554*j - 215*j for j.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -28.2 - 67.8. Let m = u + 90. Which is the nearest to 3? (a) 0.4 (b) m (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 46.262 centimeters?\nAnswer: 0.46262","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -365.309 - -365. Let f = -0.009 - a. What is the nearest to -1 in 1, f, 5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u**2 + 11*u + 2. Let j = -7 - -13. Let h be y(j). Let t = 47 - h. What is the remainder when 44 is divided by t?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o**3 + 8*o**2 + 8*o + 8. Let m be k(-7). Suppose m = i - 4. Suppose 0*v - i*v + 222 = 4*a, -a - v = -55. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -143*c + 978. Determine s(7).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 7 + 10 + 14*j + 0. Let c(o) = -5*o - 6. Give -17*c(t) - 6*y(t).\nAnswer: t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -116*152\nAnswer: -17632","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66 - 2 = -4*v. Suppose 5*n = q - 0*n + 17, -3*q + v = 2*n. Solve 4*r + 11 + 10 = -i, -5 = 5*r - q*i for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.368937 hours to milliseconds.\nAnswer: 15728173.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = -3*k - 105, k = 2*p + 41 + 20. Let v be 1\/(4\/p*-4). Suppose -3*c + 14 + 1 = 0. Solve 26 = 3*g - 3*m + 8*m, -v = c*g - 3*m for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(425) - (-3 + -1 + sqrt(425)))**2*-3.\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -112 - -145. Let l = -31 + t. Which is the nearest to -11? (a) 1 (b) l (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 1. Let t(r) be the second derivative of 1\/6*r**3 + 2*r**2 + 0 - 14*r. Let z(l) = 4*b(l) - 4*t(l). Find the first derivative of z(c) wrt c.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:37 PM and 3:49 AM?\nAnswer: 552","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 77 + -145. Let s = 139\/2 + m. Which is the nearest to -2? (a) 5 (b) s (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1827 * -7.1\nAnswer: 12971.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18185 is divided by 93.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = -5*c + 16, 5*n - 2 + 32 = 5*c. Suppose c = 2*i - 28. What is the units digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*n**5 - 3860*n**4 - 933152*n**3 - 929296*n**2.\nAnswer: -4*n**2*(n + 1)*(n + 482)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 37274, 149270, 335990, 597434, 933602?\nAnswer: 1344494","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8 - (10 - -19) - -132) + -38?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-42))**(-3)\/(n*n\/(n*n\/n**(-1))*n*n**(-28)) assuming n is positive.\nAnswer: n**154","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000037273194 to seven dps.\nAnswer: 0.0000037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 273910 by -2.\nAnswer: -136955","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the third derivative of -m**6\/120 - m**5\/15 + m**4\/24 + m**3\/2 - 5*m**2. Let d = 6 + -10. What is p(d)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4284533?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in thirty-one fifths of a millennium?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in eleven quarters of a centimeter?\nAnswer: 27500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-2*sqrt(510))\/sqrt(10)*-1)\/((sqrt(24) + sqrt(24) + sqrt(72)\/sqrt(3) - sqrt(24))\/sqrt(8) + (1*sqrt(243) - sqrt(243))))**2.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -0.3*0.025\nAnswer: -0.0075","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the second derivative of -w**3\/6 + 5*w**2 + 2*w - 20. Let u be 0 + 0 + (-7)\/(-1). Let o be h(u). Solve 4*g + 10 = -o*n, 2*g + 4 = -n - 2 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 3*l = -c - 4, -l = 3*c - 3. Let w be -2 - (-110)\/56 - 2\/(-7). What is the second smallest value in w, c, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = -6*c - 1. Suppose y + 4 = c*y, -5*d + y = -8. Solve -2*s - 14 = 2*p, 0 = 3*s - 0*s + d*p + 16 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the third derivative of -k**4\/8 + k**2. Let v(c) = -7 - 10 + 17 + 2*c**2. Give v(j(h)).\nAnswer: 18*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - -64 - (-364 - -349) - (-9 - -12)?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -308 = -4*b + 2*w, 0 = 4*b - 5*w + 81 - 401. Let m(c) = 27*c**2 + 28*c**2 + 8 - b*c**2 + 21*c**2. Calculate m(0).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-4)\/(-10))\/((-4)\/(-20)). Suppose -4*n - n = -4*d + 10, t*d = 3*n + 6. Let u = 1153\/7 + -165. Which is bigger: u or n?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 6\/(-10) + (-4 - (-132)\/20). Which is bigger: 32\/11 or r?\nAnswer: 32\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, g: 1, r: 2, i: 1, o: 4}. What is prob of picking 1 i and 1 o?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15 + -4 + 10 + -6 + -6.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by 26639.\nAnswer: -2\/26639","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*z**5 - 20*z**4 - 16*z**3 + 80*z**2.\nAnswer: 4*z**2*(z - 5)*(z - 2)*(z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3 - 2. Let i = -2.1 - 0.9. What is the nearest to -2\/7 in i, p, 3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = 3*q - 19, 2*q - 4*q + 3*v = -9. Calculate the remainder when 15 is divided by q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 4, 3, -4, 5, -1330177 in ascending order.\nAnswer: -1330177, -4, -1, 3, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4.9 + 5. Suppose -787 = 38*y - 3941. Which is the biggest value? (a) y (b) 4 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -2*d**2 + 4*d. Let i = -9 + 14. Suppose -i*z = -2*m - 17, 2*z - m = 2 + 5. Let x(b) = -5*b**2 + 5*b + 4*b**2 - 2*b**2. Calculate z*x(t) - 4*p(t).\nAnswer: -t**2 - t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -15*i + 12*i + 9 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.3 - -0.3. Let x = -0.2 + n. Let y = -0.39 - 0.01. What is the nearest to -2 in x, y, 1\/3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 7 - (-1)\/(49751\/24869 + -2) and 144.\nAnswer: 5760","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -14e - -1217?\nAnswer: 10b8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -107.82 - -108.82. Which is the nearest to 6? (a) -5 (b) v (c) -0.3 (d) 0.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4001 is divided by 24?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 201 divided by 1533.\nAnswer: 67\/511","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 304.01 + -303.61. Which is the second smallest value? (a) o (b) -6 (c) 2\/13 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 14786496 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10010 - 101000111?\nAnswer: -101011001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1862d - -28?\nAnswer: 18655","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2799 or -8399\/3?\nAnswer: -2799","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11213 - 13655 = -74*g for g.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 295, 257, 219, 181?\nAnswer: 143","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((69\/(-46))\/((-63)\/(-3)))\/((-2)\/(-16))?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 23, 22, 27, 44, 79, 138, 227, 352?\n\"Answer: q**3 - 3*q**2 + q + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-22)\/6 - (284\/176)\/(-27*(-4)\/(-720))\nAnswer: 78\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 1794*r - 1813*r + 3 + 3593*r.\nAnswer: -14*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.131303 * 10.\nAnswer: -1.31303","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q**3 + 38*q**2 + 259*q - 10050. Give w(38).\nAnswer: -208","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-2\/3))**(-4\/3))**39\/((k**1)**(-25)\/((k\/((k*k\/k**(-2\/19))\/k))\/k**5)) assuming k is positive.\nAnswer: k**(3110\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/(-26)*16\/(-56)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -195446789 by -1.\nAnswer: 195446789","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 194 = 2*l - 371, 4*l + 5*s - 1151 = 0. What is the greatest common divisor of 1767 and l?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f**2 - 20*f - 12. Let v be q(-19). Let c be 2 + 23\/v + 4\/(-14). Suppose -4*d + 40 = -4*k, 2*k - 4*k - 65 = -c*d. List the prime factors of d.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that -140*w**2\/3 + 134*w\/3 + 2 = 0.\nAnswer: -3\/70, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -23 - 17. Let d be (-18)\/10 + 8\/w. Which is the nearest to -0.2? (a) 0.5 (b) d (c) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*z + 162 + 54. Suppose -3*q - q = -z. Calculate the remainder when q is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - 4 - (6 + (-1 - 4))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 11 = 5. What is the remainder when 15 is divided by p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is k in -3*k**2\/4 + 346497*k - 40020057003 = 0?\nAnswer: 230998","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 28 (base 13) to base 2.\nAnswer: 100010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34 is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.847 + -0.153. Suppose -4*m = -0 + 16. Let w = 13 + -37\/3. What is the nearest to w in m, 0.2, v?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4753765 to the nearest integer?\nAnswer: 168","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a**4 + 50*a**3 + 415*a**2 - 540*a - 900 = 0. Calculate a.\nAnswer: -6, -1, 2, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4\/(-6) + 24\/9. Suppose -20 - 4 = -k*l. Suppose -l = -0*s - 2*s. Solve 5*i = x + 17 - 2, -2*i + s = -x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1775165 to the power of 1\/2, to the nearest integer?\nAnswer: 1332","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1862 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 18*p**3 + 8*p**2 - 8. Let x(i) = -12*i**3 - 5*i**2 + 5. Determine 5*k(t) + 8*x(t).\nAnswer: -6*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 3*x = -619, 3*k = 4*x - 9*x + 486. Calculate the remainder when k is divided by 18.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z**3 + 8*z**2 - 8*z + 3. Let o be h(6). List the prime factors of -2 - (-9)\/(o\/156).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 661.433ml in litres?\nAnswer: 0.661433","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(2448) + sqrt(2448) + 1 + sqrt(2448)*-1)**2 - ((-1*sqrt(119)*-3)\/sqrt(7) + -1).\nAnswer: 69*sqrt(17) + 2458","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p, 2 g, and 1 d when four letters picked without replacement from ddppdpgggrd?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 6245361 (base 7) in base 16?\nAnswer: b75a9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -13*g**5 + 7*g - 2*g**2 + 0*g**2 + 2*g**2 wrt g.\nAnswer: -260*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + 0 + sqrt(208) - (2*(sqrt(208) + (sqrt(208) - -1*sqrt(208))) - sqrt(208))**2)*-3 + -2)*-4 + -2.\nAnswer: -62358 + 48*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f**3 - 5*f**2 - 5*f - 4. Let g be v(6). Let w = 162 - 146. Solve -2*x = g*x + w for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -15*(-3 - 8\/(-3)). Suppose 2829 = -4*v + 3*y - 174, -3*v = h*y + 2245. Let q be v\/18*(-2208 - 0). What is q rounded to the nearest 10000?\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(20)\/(sqrt(490)*-1).\nAnswer: -sqrt(2)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 7\/4 of a gram?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 331031 (base 4) to base 10\nAnswer: 3917","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = -t + 22, -2*t - 4*n = 2*t - 104. Calculate the highest common factor of t and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(847) + 4 + sqrt(847) - 6*(sqrt(448) + 4))**2.\nAnswer: 1092*sqrt(7) + 5173","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 64736345?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.52 and -13.5389.\nAnswer: 7.040228","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 40 and 1436?\nAnswer: 14360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -247*l + 24403 = -876*l + 1690*l for l.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of ((-35082 - 0) + (-51 - -39))\/(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -23*j**2 + 3*j**2 + 12 - 13 to o*j**2 + a*j + h and give o.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the first derivative of -r + r**2 - 4 - 1\/3*r**3. Factor p(f).\nAnswer: -(f - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, -4, -0.319, 16, 2154 in descending order.\nAnswer: 2154, 16, -0.1, -0.319, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -592470, -2369817, -5332052, -9479181, -14811210, -21328145, -29029992, -37916757?\n\"Answer: -z**3 - 592438*z**2 - 26*z - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 149 and 82.\nAnswer: 12218","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 270\/593?\nAnswer: 270\/593","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o**3 + 4*o**2 + 7*o - 5. Let f be t(5). Let m = f + 7. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/(-3))\/(26460\/(-25110) + 1\/4*4)?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-4592)\/280)\/(-41))\/(112\/(-10))?\nAnswer: -1\/28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 1, j: 3, e: 3, k: 2, u: 4, n: 2}. What is prob of sequence kunk?\nAnswer: 2\/4095","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 433.\nAnswer: 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.17 + 1.07. Let a be (-3)\/((-33)\/20) + -2. Sort a, 3\/4, z in decreasing order.\nAnswer: 3\/4, z, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p, 2 q, and 1 h when four letters picked without replacement from hpqqhqe?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -76 - (935 - 1003)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 533*v - 5. Let h be b(5). Find w, given that -2*w + 56*w**3 + 24*w**2 + 2658 - h + 0*w + 32*w**4 = 0.\nAnswer: -1, -1\/2, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 560 minutes after 12:34 AM?\nAnswer: 9:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 500, 1157, 1918, 2777, 3728, 4765, 5882?\nAnswer: 7073","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -133*z + 109*z = 144 for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (20150\/22)\/5 - (-2)\/(-11)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the third derivative of -189*i**6\/40 - 61*i**5\/12 - 130*i**2. Find the third derivative of r(d) wrt d.\nAnswer: -3402","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -55*w**2 + 2141*w + 27*w**3 + 99*w**2 + 22*w**3 - 54*w**2 + 15*w**3 wrt w?\nAnswer: 384*w - 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1977\/55 + -182\/5. Is g greater than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 228 - 168. Calculate the greatest common divisor of c and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -12 + 12.09. What is the second biggest value in 1\/6, -3, 2\/5, k?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 1. Let z = -30 + 58. Let s = 72 - z. Let q(j) = j**3 + 11. Give s*t(g) - 4*q(g).\nAnswer: -4*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 456290091 and 3834.\nAnswer: 1917","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -2*p - 9. Let i be j(-7). Let t(y) = -10*y**3 + 5*y - 1 + 1 + i + 8*y**3. Let w(q) = 9*q**3 - 24*q - 24. Determine -24*t(b) - 5*w(b).\nAnswer: 3*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 116*f - 443 = 833. Let h(r) = r**2 - 8*r - 4. Determine h(f).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-12)\/(-16) + (-37)\/60 - 0. Let m = p - 211\/120. What is the common denominator of m and 47\/8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -4*u**3 + 2*u - 3. Calculate the remainder when s(-3) is divided by 10*((-4)\/26 + (-69)\/(-26)).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g**2 - 16*g - 9. Let q be j(-14). Let u(k) = 3*k + 19*k**2 + 10 - 3*k - 8. Let o be u(-1). Is q at least as big as o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*h**3 + 30*h + 3*h**3 - 29*h - 15*h**2 as l*h**2 + d*h + t + p*h**3 and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -93*m**2 - 53*m**2 - 47*m**2 + 29*m**2 to o*m + d + v*m**2 and give v.\nAnswer: -164","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r**2 + 34*r. What is w(-27)?\nAnswer: -189","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -37271 at most -704?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.04950951003 + 1679.\nAnswer: 1679.04950951003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5334 is divided by 67.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q - 33*h + 40 = -38*h, -2*q = h - 7 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 45\/(-10)*6\/(-9). Solve 2*h + y*h = 0 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the first derivative of 0*b**3 + 7 - 12\/5*b**5 + 0*b + 1\/2*b**2 + 0*b**4. Find the second derivative of g(d) wrt d.\nAnswer: -144*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -5*s - 11. Let t be o(-4). Suppose 19*r - t*r = 1800. Is r a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(832) - (-2 + sqrt(832))*1)**2 - (2*(sqrt(832) + (sqrt(832) + 3 - sqrt(832))))**2)*-4.\nAnswer: 768*sqrt(13) + 13440","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 538028 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1195*a**2 - 1173*a**2 + 2383*a**2.\nAnswer: 15*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o - 8 - 28 = -3*v - 31, 12*v + 22 = 2*o for o.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (1 - 2 - -7) + 6 - (-1 - -17)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 64 - 2 - (1317 - 1253)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -6347*f + 286. Is w(-21) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.64 + 0.36. What is the second biggest value in r, 5, 8\/5?\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by -6558\nAnswer: -2\/3279","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 244 + 2270733?\nAnswer: 2271077","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ttc when three letters picked without replacement from tccccttctcc.\nAnswer: 14\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 32*p + 15. Let c(s) = -11*s - 5. Suppose -5*w - 15 = -0*w. Let o(q) = w*l(q) - 8*c(q). Is o(-6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4)\/(-10) + (-17)\/5. Suppose 33*g = 2691 - 711. Is 3 + x - g\/(-3) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -817 - -899. Suppose 2*t - 328 = -2*t - 2*s, -407 = -5*t - s. Which is smaller: x or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + -0.0801.\nAnswer: -6.0801","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1035?\nAnswer: 3, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is ((2\/(-44))\/1)\/((-33)\/(-2376)*12)?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.9 + -3597957?\nAnswer: -3597958.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -9 or -27?\nAnswer: -27","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 39 + -47. Let z = 0.24 - 0.18. Let b = z - 0.16. What is the closest to b in -0.1, 2\/13, t?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30191174 at least as big as 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x**2 - 3*x - 4. Let h be p(4). Suppose 2*v = -h*v + 6. Suppose -4*g + v*g = -7. Solve 2*t - 17 = -g for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -35850 divided by 1.\nAnswer: -35850","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, -13, -414, 2, 0, 0.13 in increasing order.\nAnswer: -414, -13, 0, 0.13, 2, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + -1 + sqrt(1216) - (sqrt(171) + -1)*2.\nAnswer: 6 + 2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -1\/269 (b) -11722 (c) -1\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 - 276*y**2 - 126*y**2 - 2259*y**3 + 2264*y**3 + 0 to n*y**3 + t + p*y + a*y**2 and give n.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 55*d**2 - 2 - 17*d**4 + 60*d**6 + 17*d**4 + 1 wrt d?\nAnswer: 7200*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5323919 divided by -35731\nAnswer: 149","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1129 - -1184.72. Round a to the nearest ten.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 11*w + 5. Let t(f) = -20*f - 4. Let c(g) = -g. Let y(q) = 10*c(q) - t(q). Calculate 6*x(u) - 7*y(u).\nAnswer: -4*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, -4, -6, 1\/18, -0.28 in ascending order.\nAnswer: -6, -4, -0.28, -0.1, 1\/18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -665864, -665865, -665866, -665867?\nAnswer: -665868","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -49 + 98 - 70 - q as z*q + c and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t**2 + 7*t + 10. Let c be v(-6). What is the highest common divisor of c and 28?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -14\/15 and -49\/7415.\nAnswer: 22245","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q + 4*d + 24 = 0, -2*q - 575*d + 24 = -577*d for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 * -139514814.\nAnswer: 279029628","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/2 + (1\/8 - (-245)\/(-168)).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**3 + 129*v**2 + 4224*v + 4096.\nAnswer: (v + 1)*(v + 64)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 111 by -706.\nAnswer: -111\/706","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -4825 * -0.04\nAnswer: 193","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 90 and 351?\nAnswer: 3510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*c*f**2*x - 5*c*f + c*x**2 + 47*f**3*x**2 - 15*f**3*x + 2*f*x**2 wrt x.\nAnswer: 2*c + 94*f**3 + 4*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 5*z = z. Let w be 6\/(-9)*(-18)\/24*z. Let b = 2.4 - -0.6. Sort -1\/2, w, b, -5.\nAnswer: -5, -1\/2, w, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3*-2)\/(((-189)\/(-18))\/(-7))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1217 and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 591 divided by -177\nAnswer: -197\/59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhorrhkvhk. Give prob of picking 1 o and 2 h.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 56 - 20 - 89 - 87*c + 92*c - 257 to f + y*c and give f.\nAnswer: -310","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -360d - 8?\nAnswer: -3615","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2.819*2.\nAnswer: 5.638","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -15 - -32. Let j be (-33)\/(-12) + 3\/(-4). Suppose -4*d + 18 = -j*d - 2*l, 3*l = -3*d + 27. What is the remainder when u is divided by d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the first derivative of -h**4 + 0*h - 1 + h + 3. What is the derivative of t(f) wrt f?\nAnswer: -12*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 6*t - 167*t**2 - 6*t. Let a(u) be the third derivative of u**5\/60 + 156*u**2 + 2*u + 3. Determine a(h(w)).\nAnswer: 27889*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/73, 0.1, -0.2, 2\/3.\nAnswer: -0.2, -4\/73, 0.1, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3386216?\nAnswer: 2, 423277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5 - 10188?\nAnswer: -10183","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 63*c + 70*c - 256*c + 60*c - 3 + 68*c.\nAnswer: 5*c - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*x**2 + 5*x**2 - 1 - 2*x**2 - 22 + 50 to the form g*x + l + w*x**2 and give l.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 - 4 - p)*(3 - 3 + 2)*(5 + 187853*p + 20 - 187842*p) in the form g + h*p**2 + a*p and give a.\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3577 - -3576. Let d = -7 - -3. Put 1, z, d, 5 in descending order.\nAnswer: 5, 1, z, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*a - 9 = -40*a. Solve a*i + 29 = 23 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 1 + 3*n)*(3 - 2 + 0)*(5 + 9*n**2 - 42*n + 44*n - 4) to the form j*n**3 + k*n**2 + u + i*n and give k.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 4186876, 8373781, 12560686, 16747591, 20934496, 25121401?\n\"Answer: 4186905*d - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -331, -670, -1033, -1432, -1879?\nAnswer: -2386","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 434*d - 230*d + 19347 + 32965 = -299*d for d.\nAnswer: -104","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a millimeter in micrometers?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2372 divided by -2.\nAnswer: -1186","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 - (7 - (6 - 4)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -9 + t**2 - 16*t + 12 + 5*t + 0*t**2. Suppose -x = 4*v - 94, -2*x = 2*v + 2*v - 196. What is the remainder when x is divided by h(12)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 3 j when four letters picked without replacement from {z: 4, a: 3, f: 1, v: 5, j: 3, q: 1}?\nAnswer: 1\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(1 + 5 + 2 + (sqrt(500)*3)**2 + 4).\nAnswer: -18048","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x**3 - 2*x**2 - 2*x + 15. Calculate h(0).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - i - 13 = 2*i, 2*p - 29 = 5*i. Let b be (p\/(-4))\/((-6)\/36). Solve 4*k - 4*d = -28, 4*d - 18 = b*k + 2*d for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 3*r**2 - 2*r**3 + 15*r + 3 + r**3 + 0*r**2 - r**2. Let s = -179 - -176. Let c be a(s). Solve -c*m - 6 = -0 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a litre in millilitres?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 53268.3405 - 53282. Let t = f + 13.7. What is t rounded to three dps?\nAnswer: 0.041","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r**2 - 68*r + 988. What is p(21)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Total of -81.96704746 and -50.\nAnswer: -131.96704746","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (17*k + 31*k - 50*k + 26)*(6*k + 0*k + 3*k) as x*k**2 + u + m*k and give x.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 224712549*p*r**3 + p*r**2 + 63*p*r - 10*p + r**3 + 266*r**2 + r + 55 wrt r?\nAnswer: 1348275294*p + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = 5*c - 2 - 27, -11 = -5*r + c. Solve -2 = r*x - 8 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*f + 12*f + 175 = -31*f for f.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:12 PM and 10:29 PM?\nAnswer: 137","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -18605 + 3?\nAnswer: -18602","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -89*f + 333. List the prime factors of u(-13).\nAnswer: 2, 5, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2\/((-91)\/(-89) + -1) is divided by (-942)\/(-33) - 14\/231*(-1 + 10).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -14 - -20. Let p(n) = 8*n**3 - 6*n**2 - 6*n + 6. Let y(a) = a**3 - a**2 - a + 1. Suppose 3 = -2*f + 1. Determine f*p(t) + v*y(t).\nAnswer: -2*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 + (6 - ((-2 - 7) + 4)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 416\/234 - (-1)\/((-1)\/2)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 2 (b) -0.2 (c) -7\/12094\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the second derivative of -y**6\/360 + y**5\/60 + 5*y**4\/24 - y**3\/6 + 36*y**2 - 2*y + 27. Let k(a) be the second derivative of f(a). Give k(0).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -42 - -286. Let f = 249 - b. Solve 15 = -f*w, 1 = -4*h + 2*w - 13 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-322 + 322 - 61*s**2)*(-3 + 6 + 1).\nAnswer: -244*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.1, -14\/267, -0.3?\nAnswer: -14\/267","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (1 - 3)*(-14)\/(-20) + 1\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9 + 5. What are the prime factors of (6\/l)\/(3\/(-14))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + -2 + -7 + 3 - 5.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2 + -12983.\nAnswer: -12983.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1481276 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33 is divided by 10.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 511066 by 5.\nAnswer: 511066\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 times 211092?\nAnswer: 1055460","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f**2 + 190*f - 1109. What is p(6)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1432.964 - -511564?\nAnswer: 512996.964","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 4*u**2 + 3*u. Let j(x) = -21*x**2 - 16*x. Determine -2*j(i) - 11*y(i).\nAnswer: -2*i**2 - i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = b**2 + 15*b - 2*b**2 - 6*b + 7. Is u(8) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 bigger than 2\/171857?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4759 - 180859\/38. What is the common denominator of -3\/4 and i?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 73752.52 nanograms to micrograms.\nAnswer: 73.75252","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 35\/1665638 and 65\/128126.\nAnswer: 1665638","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 69552 and 193959?\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r - 4*s + 18 = 0, 62*s = 3*r + 57*s + 6 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -2*q - 5. Let u(x) = 2*x + 4. Let k(v) = -3*s(v) - 4*u(v). Let g be k(-2). Solve -i + 3 = -0*a - a, 4*a = g*i - 10 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 8 - 7*c**2 - 3*c**2 + 2 - 6 - 7*c. Let p(d) = -d**2 - d + 1. Give m(n) - 5*p(n).\nAnswer: -5*n**2 - 2*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (5 + (-43)\/8)\/(24\/16). Which is greater: p or -852?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 267907 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*i + 1871 - 3253 + 1075.\nAnswer: -2*i - 307","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 4 - 4)*(2*o**3 - 4*o**3 + 3*o**3).\nAnswer: -5*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*t - 12, 0*s + 3*t = -2*s - 23. Let h = -6 - s. Solve -2*q = -h + 7 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 388 minutes after 1:09 AM?\nAnswer: 7:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -71, 5, -81503 in decreasing order.\nAnswer: 5, -71, -81503","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/25 of a meter in centimeters?\nAnswer: 8","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (3*(sqrt(1053) - (2*sqrt(1053) + -2)) - 4*(sqrt(1053)*-1*-6 - sqrt(1053))) + -1)**2.\nAnswer: -3312*sqrt(13) + 557101","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6696 and 30969?\nAnswer: 247752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 26*t + 943. Let h(v) = -18*v - 953. Determine -2*g(c) - 3*h(c).\nAnswer: 2*c + 973","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:13 AM and 7:04 AM?\nAnswer: 171","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -3*i. Let f(u) be the first derivative of -u**3\/3 - 7*u**2 + 43*u - 6377. Determine s(f(a)).\nAnswer: 3*a**2 + 42*a - 129","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, 5, 111, 4 in increasing order.\nAnswer: 4, 5, 8, 111","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.1 or -614?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j - 6*j - 4 + 7*j + j**2. Suppose 0 = -k, -z - 5 = -5*k - 2. Let q be 8\/z + 4\/(-12). Calculate m(q).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s and 1 j when three letters picked without replacement from {j: 2, s: 6}.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 434962 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 -45b (base 15) in base 5?\nAnswer: -12421","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1553\/8 + -194. What is the third biggest value in p, -5, 13?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -5 - -1 - -2*(3 + 2). Suppose -36 - 36 = -3*w. Suppose 27*k - 54 = w*k. What is the highest common factor of k and n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (0 + 12\/5)\/((-2)\/(-5)). Calculate the highest common divisor of f and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-30)\/5 + 7)*3 - -1. Solve 6*j**l + 15\/2*j**3 + 0*j + 3*j**2 + 3\/2*j**5 + 0 = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 291769?\nAnswer: 29, 10061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7787 - -7790. Sort h, -19, -0.1, -3.\nAnswer: -19, -3, -0.1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((27\/(-6))\/((-810)\/(-72)))\/(31*(-1)\/(-5)).\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 10908, 10822, 10582, 10110, 9328, 8158, 6522, 4342?\n\"Answer: -13*y**3 + y**2 + 2*y + 10918","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*a - 5 + 5)*(13439*a**2 - 4734*a**2 - 4042*a**2)*(-a + 0 + 0) as s*a**4 + q*a + n*a**3 + r*a**2 + b and give s.\nAnswer: 9326","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s + 11. Let t be d(-9). Suppose 0*i + 20 = -t*i. Calculate the remainder when 25 is divided by ((-14)\/10)\/(2\/i).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 5*x + 14 = -5*v, 5*x + 23 = v. Suppose -3*g - 47 = -5*q + v, -q = -g - 10. What is the lowest common multiple of 11 and q?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 63691?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is h in 300*h**5 + 820*h**4 - 556*h**3 - 868*h**2 + 256*h + 48 = 0?\nAnswer: -3, -1, -2\/15, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w + 5. Let q be h(2). Let n(z) = 0*z**3 + q*z + 5*z - 7*z**2 + z**3. Calculate the least common multiple of n(6) and 10.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 1 = 8. Find the first derivative of -3*z + 9 - 7*z**4 - 6 + l*z wrt z.\nAnswer: -28*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1506 - -10?\nAnswer: -1476","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 615*b + 2695 = -849 + 469 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -503\/44 - -45\/4. Suppose -4*y - 4*x + 16 = 0, -y = -2*x + 4*x - 7. Let k = -9 - -4. What is the second biggest value in y, k, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 644?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15\/125*4\/(-48)*25\/(-20).\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r**3 + 2*r**2. Let d be n(-1). Let m be (-2)\/(-9) - 25\/(-9). What is the first derivative of 5*a**m - 3 - 2*a**3 + d wrt a?\nAnswer: 9*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*x**2\/3 - 16*x\/3 + 14\/3 = 0. What is x?\nAnswer: 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -26 + 23 + (-4 - (-3 + -79)) - 10 - 1.\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(170)*1 + sqrt(170)) + sqrt(170))\/(2*sqrt(90) - sqrt(10))*-1 + -2.\nAnswer: -7*sqrt(17)\/5 - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 5\/7, -1\/3, -6.00396, 4 in increasing order.\nAnswer: -6.00396, -1\/3, 5\/7, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 172 divide 66516?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -154*u**2 - 14880*u + 4264.\nAnswer: -2*(7*u - 2)*(11*u + 1066)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 37\/2 of a decade in months?\nAnswer: 2220","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are 20984 and 12 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the first derivative of 2578*z**3\/3 - 5*z**2 + 11*z - 37. Is q(1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1638*w - 1637*w = -2*x - 15, 4*w - 10*w = -5*x + 5 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8 and 46?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -117*n**2. Let w(y) = 20*y**2. Determine c(w(l)).\nAnswer: -46800*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9571581.\nAnswer: 3, 71, 4993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sum 119453 and -3335868690.\nAnswer: -3335749237","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 5168*s - 46517. Give k(9).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-2*sqrt(891) + -4)*-2.\nAnswer: -36*sqrt(11) - 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5572.671 nanograms to grams.\nAnswer: 0.000005572671","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/1)\/(2066\/10330)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.39159 - 0.1544. Let q = -111.77781 - a. Let o = q + 112. Is o <= 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02179 rounded to 3 dps?\nAnswer: -0.022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2323545232 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -3*i + 2. Let h(m) = 9*m. Give y(h(d)).\nAnswer: -27*d + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/(-210)*307 + 10 + (-2)\/(-4)?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.58 - -0.18. Suppose -2*d = -2*l, 4*d = -3 - 5. Which is the closest to l? (a) y (b) 4\/3 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m**3 + 36*m**2 + 57*m - 369. Determine q(-34).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 23 - 14. Suppose 0 = 4*x - 5*a + 13, 0*x - 4*x = -4*a + 8. Suppose b + 5*u - 90 = -4*b, -x*u + d = 0. What is the units digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6542 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*q - 137 = 346 - 65 for q.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that y**3 - 2907066*y**2 = 0.\nAnswer: 0, 2907066","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.142 + -0.461. What is s rounded to one decimal place?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2 + 0. Let u(s) = -140*s + 2. Let h be u(b). Suppose 0 = -5*o - h + 997. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 + 2*d - 122*d**4 + 123*d**4 - 17 as j + x*d**4 + p*d + y*d**2 + m*d**3 and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d**2 + 7*d + 7. Let w be x(8). Let o(r) = r**3 - 10*r**2 + 7*r - 4. Let k be o(7). Let v = -1021\/10 - k. Which is smaller: w or v?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by 203.\nAnswer: 2\/203","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 4*h**2. Let o(n) be the second derivative of -2*n**3\/3 + 9*n. Give w(o(g)).\nAnswer: 64*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 5988 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x**3 - 7*x**2 - 5*x - 4. Let r be v(-8). Suppose 6*w = w + r. Let s = w + -10. What is the units digit of s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -11.3 - -4.3. Let o = -492 + 491.96. What is the fourth smallest value in 5, u, o, -1\/4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 4*o + 19 = 0, 4*o - 1 = 3. Suppose -4*l = s*k - 283, -175 = -3*l + k + 34. List the prime factors of l.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4260.73 centuries in years?\nAnswer: 426073","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 4438 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -32361 divided by 161\nAnswer: -201","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in 2\/3, -2, 2\/9, 1\/12?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 1 + 6 = 0. Let z(i) = i**3 + 18*i**2 + 5*i + 91. Suppose -m - 28 = 5*g, -5*m - 44 - 36 = -5*g. Calculate the lowest common multiple of z(m) and t.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = -4*p + 44, f + 4*f + 22 = 3*p. Let l(c) = 4*c**3 - 3*c**2 - 3*c - 3. Let b(n) = 9*n**3 - 7*n**2 - 7*n - 7. What is p*l(r) - 6*b(r)?\nAnswer: 2*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9074?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7576.275 - -7675. Let g = 98 - q. What is g rounded to one dp?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 471.371 * 0.4.\nAnswer: 188.5484","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -103\/858 and 17\/23298.\nAnswer: 302874","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + (0 - 2) - (9 - (2 + 8))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 8 + (3\/9)\/((-11)\/165). Solve -r*t - 14 = w, 12*w = 7*w - t for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -20*l**2 - l. Let z(j) be the first derivative of j**4\/6 + 75*j + 17. Let y(w) be the first derivative of z(w). Determine y(v(h)).\nAnswer: 800*h**4 + 80*h**3 + 2*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2.2 + 15.2. Let i = u - 14. Is -2\/5 less than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00684617281 rounded to four dps?\nAnswer: 0.0068","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 10 + -9.6. Let q be (-73)\/(-84) + (-8)\/28. Let y = q - -3\/4. Which is the nearest to 0.1? (a) y (b) d (c) -4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -15873.9968132 - -15874. What is l rounded to three dps?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 3*w**2. What is the units digit of p(-4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 463924084?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1401648 and 11563596?\nAnswer: 46254384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ypp when three letters picked without replacement from iiyiiyiiippyiiipipiy.\nAnswer: 2\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4*8\/(96\/(-18)) - -58. Solve -f = -14*f + j for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3*2 - (-32)\/(-5).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3)\/12 - 3479245\/620. Let y = -5610 - h. Which is smaller: y or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r**2 - 19*r + 38. Calculate s(17).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 77 and 40271.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -44535*c**2 + 59*c - 10030457?\nAnswer: -89070*c + 59","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -157\/42 and -69\/80098.\nAnswer: 1682058","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pzzrppzprzprz. Give prob of picking 2 r and 1 p.\nAnswer: 15\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the third derivative of 0*u**4 + 1\/12*u**5 + 0 + 0*u + u**3 - 26*u**2. Let h(s) = 14*s**2 + 17. Calculate -4*h(f) + 11*r(f).\nAnswer: -f**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 411825823 to the power of 1\/2, to the nearest integer?\nAnswer: 20293","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 - (15 + -8 + -13)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 138557*p**2. Let s(b) = b**2. Calculate s(u(k)).\nAnswer: 19198042249*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 45360 - 45360. Let a = -1 + 6. Solve k - a*k = 5*b + 45, -5*b + 5*k = p for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 33.094 - 6.87. Let p = 26 - y. Let i = 0.49 + p. Round i to 2 dps.\nAnswer: 0.27","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -104 - -106. Let o = 13 - 9. Calculate the smallest common multiple of o and l.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 839000 rounded to the nearest 10000?\nAnswer: 840000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*m - 20 = 15*m. Solve -m*o = -2*w - 8, -3*w - 16 = w - 3*o for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7120 and 29195560.\nAnswer: 3560","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.53 minus 772?\nAnswer: -772.53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 4 + 2)*(7*f**2 + 4*f**2 - f**2)*(-1 + f + 1 - 2*f + 2 - 2 + (0 - f + 0)*(5 - 4 - 2) + 2*f - 2 + 2).\nAnswer: 20*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -18 - 4*v + 6 + 7 in the form z + k*v and give k.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is b in -2*b**2 + 8418356*b + 8418358 = 0?\nAnswer: -1, 4209179","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -69\/11, -5, 5, 14930?\nAnswer: 14930","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -4*m. Let s(d) = -25 + 25 + 0*d - 13*d. Give k(s(c)).\nAnswer: 52*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = 14*m - 12*m - 14, 2*x + 8 = 0. Solve 0*r - 4*u - 16 = -4*r, -3*u = m*r - 28 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12174 is divided by 2003.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -25*u - 20. Determine z(0).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = 7 - 1. Let o be (4 - (0 + f)) + -2. Does 20 divide (-21 - o)*-1 + 0?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 645369 is divided by 78?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8050 is divided by 4007?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -1\/6 (b) 1\/328 (c) -1\/4 (d) 5 (e) 72\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -23*g - 3. Let r be x(-4). Suppose 2*t = -4*u + 12, 5*u + r = 4*t - 0*t. Suppose 6*w - t = 2*w. What are the prime factors of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*o**3 - 31*o**3 - 26*o**3)*(3 - 1 - 1)*(7 - 27 - 23).\nAnswer: 2537*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j**3 - 5*j**2 + 6*j - 3. Calculate n(3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -326 - 478 = -392*o - 10*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 7944 and 118442061?\nAnswer: 947536488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/837 and -17\/33.\nAnswer: 9207","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -6*u**3 + 2*u**2 - 7*u + 5. Let s(d) = -34*d**3 + 0*d - d + 33*d**3 + 1. Calculate r(h) - 5*s(h).\nAnswer: -h**3 + 2*h**2 - 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 345 a factor of 8280?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 3) to base 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5 - 288268733?\nAnswer: -288268738","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 744 is divided by 7.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that -3*i**5\/2 - 31467*i**4\/2 + 251901*i**3\/2 - 283473*i**2\/2 - 283419*i = 0.\nAnswer: -10497, -1, 0, 3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -11*w**2 + 361*w + 2428. Let q(h) = -37*h**2 + 1082*h + 7278. Let u(v) = 2*q(v) - 7*z(v). What is the derivative of u(y) wrt y?\nAnswer: 6*y - 363","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 40*c - 36 = -37*c, -5*x - c + 56 = 0. Calculate the remainder when 18 is divided by x.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the second derivative of -f**3\/6 + f**2\/2 - 5*f. Let o(i) = -5*i - 1. Let h = -8 - -7. Calculate h*o(y) + 3*q(y).\nAnswer: 2*y + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u + 1. Let j(y) be the second derivative of -y**3\/6 - y**2\/2 - 2*y - 1. Calculate j(o) + 2*w(o).\nAnswer: -3*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + q - 8 = 0. Let p = 2 + q. Suppose 24 = 5*n + p*u, 5*n + 5*u - 15 = 10. What is the least common multiple of 18 and n?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + j + 2)*(0*j**2 + j**2 + 0*j**2) - 45*j**3 + 83*j**3 - 192 - 40*j**3 as l*j**2 + b*j + w*j**3 + v and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -74 = -4*o - 58 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a + 10 = -2*k - 5, -3*k = -a + 3 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((t\/((((t\/(t*t*t**(-3\/8)))\/t)\/t*t)\/t))\/t)\/t)\/t**(-2\/5))**(-8\/11) assuming t is positive.\nAnswer: t**(-81\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than or equal to -33\/151?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = b**2 - 15*b - 21. Let d be r(11). Let g be 2\/2 + (d - -67). Put 4, 1, g, 2 in decreasing order.\nAnswer: 4, g, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 102135083 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g**4\/4 + 41*g**3\/2 - 455*g**2\/4 - 41*g\/2 + 114 = 0 for g.\nAnswer: -1, 1, 6, 76","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 49743 smaller than 1939943\/39?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 758 (base 14) to base 16.\nAnswer: 5aa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -z**3 - 28*z**2 + 672*z + 14933. Give v(-35).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 361\/(-35) + 2\/2. Let f = 48\/5 + l. Let c = 32 - 257\/8. What is the nearest to 0.1 in c, -0.2, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*z + 129*z + 220 = 0. What is the second biggest value in -3, 20, -1, z?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 12657.31 - 12988.3391. Let t = 331.0724 + -0.0724. Let h = d + t. Round h to three dps.\nAnswer: -0.029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the first derivative of -2*c**5\/5 + 63*c**4\/4 + 106*c**2 + 307. Find the second derivative of r(j) wrt j.\nAnswer: -24*j**2 + 378*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the third derivative of r**4\/24 + 462*r**2. Let j(o) = 2*o**2. Calculate j(a(b)).\nAnswer: 2*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:46 PM and 5:44 PM?\nAnswer: 238","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 103\/42 and -31\/5994?\nAnswer: 41958","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -16 + 153*i - 109*i - 55*i. Calculate p(-7).\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3851 - -3856. What is the second biggest value in 2\/11, -0.078, v, -3?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -100675265.23 rounded to the nearest 100000?\nAnswer: -100700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -5, -19, 0.5, -1?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 6*(-2)\/(-4) - -2. Suppose -3*z = -4*z, -3*c - r*z + 60 = 0. Is c a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 18\/(-30) + 0 - 308\/20\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -787.9496 - -792.749653. Let l = 4.8 - j. What is l rounded to 5 decimal places?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5124 and 45735360.\nAnswer: 320147520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 4*r - 50. Let s = r + 35. Calculate the highest common divisor of 5 and s.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*d + 4 = -24. Let a(j) = j**2 - 15*j + 49. Let y be a(d). Solve o - 21 = -y*r, 3*o - 5 = 5*r - 22 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -3\/5, 0.037, -3?\nAnswer: 0.037","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 412 and 2069476.\nAnswer: 2069476","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -78, 2\/17, 1\/2 in descending order.\nAnswer: 2, 1\/2, 2\/17, -78","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 3 b when four letters picked without replacement from rrbbbrurubnuuuu.\nAnswer: 16\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 131 (base 8) to base 12\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7 and 102020219.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -g**3 + g**2 - 1. Let d be i(-1). Let b(q) = -3*q**3 + 2*q**3 + d - 1 - 2 - 2*q. What are the prime factors of b(-2)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*n = 7215 + 2790. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 299.0421 years?\nAnswer: 3588.5052","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the first derivative of -y**2 + 5*y + 1. Calculate s(4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 1. Let q(o) = -2*o**2 - 34. Calculate 6*q(t) + 204*u(t).\nAnswer: -12*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 3.19 * -0.02\nAnswer: -0.0638","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1081512, 2162978, 3244444, 4325910, 5407376, 6488842?\n\"Answer: 1081466*w + 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -761, -827, -895, -965, -1037, -1111, -1187?\nAnswer: -1265","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (8 - 9)*21\/(-6)*2. Suppose -s - 2*a = -124, -4*s - 363 = -j*s - 3*a. What is the remainder when s is divided by 30?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/32 of a milligram in nanograms?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -9353 divided by 199?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0 + -791 - 4\/(-8)*-8. Let f = -360 - h. What are the prime factors of f?\nAnswer: 3, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7438.\nAnswer: 2, 3719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1100919?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.73 times 97?\nAnswer: 70.81","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2160*g = 2132*g - 840 for g.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17 = 2*r + 5*t, -5*r - 4*t - 4 = -55 for r.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = 3*q - 8, 7 + 37 = 4*q + 4*a. Let n be (-1 - 1)\/((-3)\/q). Suppose 5*o + 3 - 18 = -i, n*o + 9 = -5*i. List the prime factors of o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 7964 + -22?\nAnswer: 7942","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 10429034 a multiple of 482?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2830 + 6772 = -1020*f + 63662 for f.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h**3 - 10*h**2 - h - 21. Determine n(10).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) 2\/7 (b) -6 (c) 3\/11845\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in 0.5, 2, 2\/9, 5?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8*4138666.\nAnswer: -33109328","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 29812141?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 80 = -2*d. Suppose -2*p - 48 = -5*p. What is the least common multiple of p and d?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9091439 = 68*u - 8425010 - 8291659. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0 and 6173.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.230001 litres in millilitres?\nAnswer: 230.001","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 15, 1\/8, 1\/2, 2, 1\/357, -0.2 in increasing order.\nAnswer: -0.2, 1\/357, 1\/8, 1\/2, 2, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -316, -0.06, 0.4, 3?\nAnswer: -316","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -29760.10785829 - 2.\nAnswer: -29762.10785829","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*q**2 - 21*q**2 + 5*q**2 + 3*q**2.\nAnswer: -34*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -42682814 - -0.03?\nAnswer: -42682813.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1 - 15401121?\nAnswer: -15401122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 - -3. Let q(j) = -m*j + 5*j + j + 0*j. Let n(t) = -7*t. Let y(c) = 10*c. Let o(k) = 7*n(k) + 5*y(k). What is q(o(w))?\nAnswer: 2*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 7*y**3 + 9*y**2 + 15*y - 126. Is i(25) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*p - p - p + 40 - 40.\nAnswer: 14*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -15*c**5 + 20*c**4 - 5*c**3.\nAnswer: -5*c**3*(c - 1)*(3*c - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 2*v**2 + 3*v - 3. Let t = 1 - 4. Let h be a(t). Solve -3*u - h = 4*k - 7*k, -18 = -k + 5*u for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = 3*l - 721, -l - 2*l - 3 = 0. Suppose -3*g + 5*z = -i, 0 = -5*g + g - 4*z + 284. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 2 y when three letters picked without replacement from mmmnnmynnyngnnnmjjnn.\nAnswer: 1\/570","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 15.66 and -2?\nAnswer: -31.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 213981?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2 and 6582?\nAnswer: 13164","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -30, -5, 7008, 14 in increasing order.\nAnswer: -30, -5, 14, 7008","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**2\/7 + 14162*i\/7 - 17770260\/7.\nAnswer: -2*(i - 5451)*(i - 1630)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 704 minutes before 2:58 AM?\nAnswer: 3:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 9*t = -5*t + 1800. What is the greatest common divisor of t and 6075?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -6\/20309?\nAnswer: -6\/20309","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -4*u**3 + u - 1. Does 11 divide m(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12121 + 10021011121001?\nAnswer: 10021011210122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -41.44 + 60.8. Let j = x - 1.66. Let q = -18 + j. Which is the third biggest value? (a) -9\/5 (b) q (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 - 12 = -3*q. Let o(i) = 2*i**3 - 9*i**2 + 17*i - 12. Is 44 a factor of o(q)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2*(-8)\/(-48))\/(((-484)\/22)\/(-4884))?\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the third derivative of u**9\/21 - u**6\/20 - 11*u**5\/60 - 55*u**4\/24 - u**3\/3 - 4346*u**2 - 2. Find the third derivative of o(l) wrt l.\nAnswer: 2880*l**3 - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - s - 3*q = -59, 0 = 3*q + 6. Suppose -3*r - 1250 + 1547 = 0. Calculate the remainder when r is divided by s.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -63*t + 149*t = -3028 - 2648 for t.\nAnswer: -66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 32\/42*(-4)\/(120\/675). Put t, -2, -0.1 in decreasing order.\nAnswer: -0.1, -2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.1 and -4976225321065.\nAnswer: -4976225321064.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 0.252492 days?\nAnswer: 21815.3088","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2093282 + 4186550 - 2093313 - j + 33*j**3.\nAnswer: 33*j**3 - j - 45","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3.3 + -3.2. Which is the fourth biggest value? (a) 3 (b) 0.01 (c) w (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3\/4 - (-619227)\/2970. Let f = c + -837\/4. Suppose 4 = 5*u + 9. Is f at most as big as u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that 218*b**3\/11 + 6550*b**2\/11 + 17958*b\/11 + 810\/11 = 0.\nAnswer: -27, -3, -5\/109","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -18754.27 to the nearest ten thousand.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**(-39\/7)*n**(2\/115))\/(n\/n**(-35))**(-33) assuming n is positive.\nAnswer: n**(952674\/805)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 0.117 (b) 19\/2 (c) 4\/7 (d) -2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in -1\/5, 11, 7856\/7?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -1701*w**2. Let l(g) = 521*g**2. Give v(l(m)).\nAnswer: -461721141*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 10, -23, 3, -2, -12, 5 in descending order.\nAnswer: 10, 5, 3, -2, -4, -12, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -3*x + 6. Does 13 divide s(-42)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 o when two letters picked without replacement from {z: 7, j: 6, w: 1, o: 3}.\nAnswer: 21\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6490.446 - -6480.046114. Let b = 10.4 + y. Round b to five decimal places.\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6642 and 27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 10104497*q - 6654508 wrt q.\nAnswer: 10104497","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 109526*b - 12*b**4 + 91*b**4 - 47084*b + 4*b**2 + 26*b**4 - 50228*b wrt b.\nAnswer: 1260*b**2 + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = -0*h - 3. Let q = h + 1. List the prime factors of (-86)\/(-8) - (-1)\/q.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n**2 - 437*n + 47254. Determine j(196).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 29 - 21. Let o(x) = 2*x**3 - 16*x**2 - 4*x - 4. Let a be o(u). Is (-698)\/a*2 - 8\/(-36) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 11404 and 2.\nAnswer: 11404","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2477 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 2366352?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = p - 21, -n - 9 = 3*p - 4*n. Suppose 0 = f + p - 0. Does 6 divide ((-8)\/(-2))\/(f\/(-3))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -7582792, -7582822, -7582852?\n\"Answer: -30*l - 7582762","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 52 + -8. Suppose 3*a - u - 20 = 21, 0 = 3*a + 5*u - 65. Let v = a - 11. Calculate the highest common factor of v and p.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 22553424 by 442224.\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -2*z - 14. Let u be s(-6). Let w be u + 3\/5 + 1. Let t = 14 - 9. What is the second biggest value in w, 2, t?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 37*v. Let q(b) be the third derivative of -425*b**4\/12 - 8814*b**2. Give 68*d(i) + 3*q(i).\nAnswer: -34*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2283 - -1813. Let m = -5 + 8. Suppose 0 = r + s + k, 0 = m*r - 4*s + 2406 + 9910. What is r rounded to the nearest one thousand?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2 + -4)\/(1\/(-6)). Let x be s\/(-18)*3*-1. Suppose -3*i = 3*o - 4*i + 10, -4*o - 12 = -x*i. Let g(l) = -l**3 - 5*l**2 - 4*l + 3. Calculate g(o).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 0*i = 0. Suppose -3*v + 58 = -5*o, i = -2*v - o + 6*o + 42. Solve -4*s = -4*t + v, -4*s + 5*t + 0*t - 16 = 0 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 49 and 49?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gmm when three letters picked without replacement from {d: 2, g: 6, i: 6, m: 1, p: 2, v: 3}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3 - -4. Suppose 0 = 2*k + x + 2140, 177 = -k - 4*x - 879. Let p = k + 1077. Solve 0 = -p*l - 11 + j for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + m - 1 = 0, -2*z + 3 - 6 = m. Let a be 2\/2 - (2 - 2). Put z, a, 0 in decreasing order.\nAnswer: a, 0, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - (-5 - -13 - (76 - 62))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j**3 - 17*j**2 + 18*j + 15. Let n be p(-18). Let v = 84 - 80. What is the third derivative of 14*s**2 + n*s**3 + v*s**2 - 2*s**2 wrt s?\nAnswer: 90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.05 + 31.37013444.\nAnswer: 31.42013444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 23068 and 8532.\nAnswer: 316","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 177864 and 22.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 4525481.4 to the nearest one thousand.\nAnswer: 4525000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 857309635 to the power of 1\/2, to the nearest integer?\nAnswer: 29280","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/9)\/((-6)\/18*1).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/5, 3\/8, -0.3, 433\/6 in ascending order.\nAnswer: -0.3, 3\/8, 3\/5, 433\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -10880792 rounded to the nearest one million?\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Total of 20 and -1917321401621.\nAnswer: -1917321401601","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 220\/3, 10, -2?\nAnswer: 220\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 900 and 90.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 10 - 11 - 2*-8. Suppose 0 = -5*c - 3*f - 23 + 4, -3*f = 3*c + j. Let m be c*(-4 - -3) + 2. Solve 0 = 3*u - 4*n - 11, 2*u + 20 = -2*n + m for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1744085220?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*r - 300 + 312 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p**2 - 1. Let x(o) = 6*o**2 - 4*o - 5. Let s(j) = -5*q(j) + x(j). Suppose -13 = -3*u - 5*g, 5*u - 34 = 14*g - 10*g. Determine s(u).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 1\/24 of a day?\nAnswer: 1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 7542.296 milliseconds?\nAnswer: 7.542296","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 10\/(-75) - (0 + (-302)\/15). Solve 3*v + c = -v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5*((-27)\/(-30))\/(50\/(-100)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the second derivative of f**3\/6 - 3*f**2\/2 + 7*f. Let g be h(7). Solve -g*d - d - 5 = 0 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-2620)\/100 + 19)*(-15)\/171. Are -11 and z unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 879 + 245*b**4 + 78 - 326*b**4 - 2*b**3 + 243 + 0*b**3 wrt b.\nAnswer: -324*b**3 - 6*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ogqxevx. What is prob of picking 1 x, 1 e, and 1 q?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-336)\/(-240))\/((-8)\/(-1000)). Solve -39*j = -14*j + f for j.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*g**4 - g**3 + g**3 + (-3*g - g**4 + 3*g)*(-1 + 1 + 2) - 2*g**4 + 0*g**4 + g**4.\nAnswer: -5*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that -g**2 - 6*g = 0.\nAnswer: -6, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 123863 + -1?\nAnswer: 123862","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 25312862 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 281 is divided by 94.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 305 by 9.\nAnswer: 305\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 103*g - 28 + 1110 = -1995 + 708 for g.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -545 - -554.29. Round a to zero decimal places.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/2? (a) -2 (b) -0.7 (c) 1 (d) 0.5 (e) -3.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 16665 + -16665. What is the nearest to 132 in 2\/3, 1, n?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -31*m**4 + 16*m**2 - 4*m wrt m.\nAnswer: -744*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 29.86618 weeks?\nAnswer: 18063065664000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 1\/182675?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 72a (base 15) to base 12\nAnswer: b27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*l**3\/3 + 128260*l**2\/3 - 256528*l\/3 = 0. What is l?\nAnswer: -64132, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -12562 < -12553?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2141?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v**2 + 2*v + 18. Let a(t) = -2*t**2 - 36*t - 37. Let m be a(-1). Determine l(m).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 25 = 3*n. Suppose 4*w - 5 = -3*g, 2*w + 0*w - n*g = 9. Solve -w = -0*m - 2*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -787492, -1575027, -2362572, -3150127?\n\"Answer: -5*g**2 - 787520*g + 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -3*(-9 - 30\/(-5))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 296*y - 152*y = 171*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 2 - 13 - 11 + 3 + t. Let y(k) = k**2. Give i(y(c)).\nAnswer: c**2 - 19","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.2 + 1.2. Let h = -46310.6 + 46311. Which is the second smallest value? (a) -1 (b) m (c) h (d) 4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:08 AM and 2:50 PM?\nAnswer: 402","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a centimeter in micrometers?\nAnswer: 2500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-6 - 5\/5*-2) + 48. Put -3, 0, 4, c, -1 in increasing order.\nAnswer: -3, -1, 0, 4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -246740*a**3 - 177708 wrt a?\nAnswer: -740220*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -11 (base 5) to base 10\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.186555 to three dps.\nAnswer: 1.187","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i**3 + i**2 - i. Let n(j) = -2*j**3 + 6*j**2 - 6*j + 3. Let z(m) = -3*b(m) + n(m). Let y = -3 + -1. Calculate z(y).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -107\/798 - 1\/114. Which is bigger: -138\/13 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 11637398 and 33959?\nAnswer: 1171","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**1)\/c)\/c**2*c**(-7)*(c\/((c*c*c*c**(-2\/17))\/c*c))\/c assuming c is positive.\nAnswer: c**(-185\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 633 minutes after 5:49 AM?\nAnswer: 4:22 PM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Let m = 3366.99998343 - 3367. Round m to six dps.\nAnswer: -0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 199917.3 millilitres in litres?\nAnswer: 199.9173","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -7*u + 6. Calculate the remainder when b(-5) is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f**2 - 11*f + 4. Let b be 44\/10*(55\/2)\/11. Let a be s(b). Let o = 0.01 - -2.99. Which is bigger: o or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -143\/1146 and 157\/1242?\nAnswer: 237222","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 5, v: 5}. What is prob of picking 1 v and 3 t?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 92490 or 92491?\nAnswer: 92491","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - c = 447, 9*s = 4*s - c + 1107. Suppose b = 3*b - s. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -509315284 and 27.\nAnswer: -509315257","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*i - 3*p - 5, 9*i - 12*i - 6 = 4*p for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -6*i**2 + 272*i + 6. Let d(q) = -3*q**2 + 136*q + 2. Determine 5*d(a) - 2*r(a).\nAnswer: -3*a**2 + 136*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/17 (b) 5.2 (c) 1\/6 (d) -1075 (e) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 19*u**4 - u + 109811*u**3 + 47*u**4 + u**2 - 109814*u**3 to the form m*u**3 + h*u + v + r*u**4 + i*u**2 and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7 - -12) + 8 + (39 - 33)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j**3 + 5*j**2 + 14*j + 1. Let y be i(7). Let h(c) be the first derivative of 5*c**4\/4 + 2*c**3\/3 - c**2 + c + 1. Is h(y) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 19240 and 25922?\nAnswer: 19182280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:50 PM and 4:15 AM?\nAnswer: 385","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 94944, 191309, 287678, 384051, 480428?\nAnswer: 576809","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12221 - 200?\nAnswer: -20121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11087384 is divided by 5543688.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(1053) + 0 + 2.\nAnswer: 2 + 18*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 37\/70 and ((-3731)\/13325)\/((-482)\/(-35)).\nAnswer: 16870","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 - -0.1. Let m = 259.92 - 264.92. What is the closest to 6\/13 in -2\/5, v, m?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 32601?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j and 2 m when four letters picked without replacement from {r: 5, m: 5, j: 2}.\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 18133 + -13066. Is v a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10128?\nAnswer: 2, 3, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 710652, 1420376, 2130100, 2839824, 3549548, 4259272?\nAnswer: 4968996","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oo when two letters picked without replacement from aqaooooaaqoa.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7 + -2 - 0) + 14?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -44651718 - -5?\nAnswer: -44651713","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4 + 4 + 5*p**2 + (0*p + 0*p - 2*p)*(-3*p - p + 6*p) - 6*p**2 + 7*p**2 + 2*p**2.\nAnswer: 4*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 58613?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.07 - 9.93. Let l = 0.08 + 8.92. Let k = l + w. Which is the second smallest value? (a) 2 (b) 1\/3 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 72, 0 in decreasing order.\nAnswer: 72, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((26\/(-4))\/13)\/((-14)\/(-4)).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2404*m**2 - 4889912*m + 4889912*m.\nAnswer: 2404*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 5.953526 centuries?\nAnswer: 595.3526","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -2*o**2 - 39*o + 12. Give p(-20).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*c = 5*c + 2080. Calculate the smallest common multiple of 4 and c.\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 16 + (10 - 27 - -2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m = 4*p - 11, 3*p + 3325 - 3346 = -2*m for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 7 + 4ed8eb9?\nAnswer: 4ed8ec1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3 - -2.9. Let h be (1\/(-6))\/(7\/7). What is the nearest to t in -2\/7, h, 3?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -693672, -1387347, -2081022, -2774697, -3468372, -4162047?\n\"Answer: -693675*w + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4098 (b) -5 (c) 1.46\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-1\/7)\/(j*j\/j**(-1))*(j**(1\/2))**(-2\/13)*((j\/(j*(j**(1\/6)*j)\/j))\/j*j**(-7))**(-33) assuming j is positive.\nAnswer: j**(48463\/182)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z**3 + 23*z**2 + 43*z + 21. Let i be n(-21). Suppose m = -i*m + 4*f - 31, -m = 4*f - 9. Let x = -32 - -23. Is x greater than or equal to m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 88 - 88 - 2*m**3 + 34*m.\nAnswer: -2*m**3 + 34*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n - 4*s = -5*n + 8, 5*s = 4*n - 11 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 26240768, 26240767, 26240766, 26240765?\n\"Answer: -n + 26240769","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 2*u)*(-1 - 2 + 2) + 3*u + u - 2*u - 254 + 254 - 5*u + (-3 + 0 + 1)*(-u + 2*u + 0*u).\nAnswer: -3*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1048.3 - -1048. What is the nearest to 1 in -5, -1\/3, t, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ww when two letters picked without replacement from wwbhsswbbwbwsbybssbb.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 90 and 2820.\nAnswer: 8460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z**3 - z. Let g(j) = -3*j**4 + 2*j**3 + 6*j. Let y be (-10)\/(-4) - 1\/2. Let n(c) = y*h(c) + g(c). What is the second derivative of n(m) wrt m?\nAnswer: -36*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/100 or 1630?\nAnswer: 1630","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -161*a - 165*a + 54*a to the form l*a + v and give l.\nAnswer: -272","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w**3\/3 + 23*w**2\/3 + w\/3 - 23\/3 = 0.\nAnswer: -1, 1, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/314574 and -89\/14170.\nAnswer: 1572870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rr when two letters picked without replacement from {t: 1, a: 1, f: 8, r: 2, x: 2}?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 171033 is divided by 4001.\nAnswer: 2991","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 5*i - 1. Let a be 2\/4 + i\/(-2). Find the common denominator of 113\/18 and a - ((-58)\/32 - 1).\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 105\/(-162)*(-20)\/35*72\/120.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 583\/2048143?\nAnswer: 583\/2048143","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 126166 + -3?\nAnswer: 126163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-6)\/(-5)*30\/9?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 + 3 + -5 + 5 + -2\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 116*h = -193*h - 135*h - 12876 for h.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (2 - (-4 + -5 - -16)) + 5\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 33029 + -103667. Let k = i - -118688. What is k rounded to the nearest ten thousand?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5841 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: Convert 6.832572 litres to millilitres.\nAnswer: 6832.572","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -4*k**3 - 4*k - 3. Let v(p) = -p**3 - 8*p**2 + 8*p - 13. Let d be v(-9). Let c be ((-9)\/(-6))\/(3\/d). List the prime factors of i(c).\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 2*k. Let w(q) = 2*q - 10. Let x be w(7). Let y(c) = -x*c + 5*c - 2*c**2 - c. Determine f(y(b)).\nAnswer: -4*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*q - 7*q - 15. Suppose 0 = x - 5*o + q, 4*x + 0*o + 2*o - 28 = 0. Let y be ((-4)\/10)\/((-2)\/10). Solve y*z = x*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1127.\nAnswer: 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8248887 = -13*k + 6231099 + 2313193. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*h**3 - 309*h**2 + 4221*h - 3915 = 0. What is h?\nAnswer: 1, 15, 87","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -9, -0.3, 0.5 in increasing order.\nAnswer: -9, -1, -0.3, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hthoholtolh. Give prob of picking 1 l and 1 o.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 334245 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -34, -28, -22?\n\"Answer: 6*y - 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that -3*j**4 - 317379*j**3 - 1269480*j**2 - 1269468*j = 0.\nAnswer: -105789, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r**2 + 6*r + 8. Let o be i(-6). Let c = o + 0. Calculate the remainder when c is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9999 and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l**3 - 15*l**2 - 150*l = 0.\nAnswer: -5, 0, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the second derivative of p**5\/20 - 89*p**4\/12 + 57*p**3\/2 + 261*p**2\/2 + 1174*p + 3. Determine b, given that f(b) = 0.\nAnswer: -1, 3, 87","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p*p*p**(-1)*(p*p**(-4))\/p*p assuming p is positive.\nAnswer: p**(-2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 9.74217849 to three decimal places.\nAnswer: 9.742","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5*-0.23.\nAnswer: -0.115","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9998 = 386*s - 363*s + 1327. Suppose 2*p - 16 = 4*b - 66, -2*b = 2*p - 28. Calculate the greatest common factor of s and b.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u**2 - u. Let q be v(2). Suppose -6 = -x + q. What is the remainder when x is divided by (-1)\/(8\/6)*-4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a millimeter in micrometers?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -4, 11, 2\/9, -2\/105, 2, -9?\nAnswer: -2\/105","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 81 divide ((-10935)\/(-18))\/(3\/8*2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -84*t**3 - 3*t**2 - 23*t + 26. Determine r(1).\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the first derivative of -11*b**4\/24 - 3*b**2 - 13. Let k(x) be the second derivative of h(x). Let s(y) = -y**2. What is k(s(q))?\nAnswer: 11*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 165809?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.67487 + -28.5.\nAnswer: -29.17487","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) -4 (b) -8 (c) -1 (d) 26\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -38 or -46?\nAnswer: -38","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -576*d - 285 + 174 = 1041 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1148 + -634. Which is greater: 513 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 7854618 - 6.84.\nAnswer: 7854611.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 49 - 72. Let s = i - -38. 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 the least common multiple of 43680 and 70?\nAnswer: 43680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -147, -314, -481, -648?\nAnswer: -815","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -10\/11 (b) 4\/3 (c) 3 (d) -110\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in eight thirds of a hour?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*s + 17*s - 117. Let p = s - -81. List the prime factors of p.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 38 - 40.95. Let t = q + -0.05. Let o = t - -3.2. What is the closest to 2\/7 in 1, 0.1, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k\/(k\/k**(-35))*k)\/k**(-29)*(k*k**13)**(4\/11) assuming k is positive.\nAnswer: k**(12\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*j + 1 - 1)*(4*j**2 - 3*j + 3*j) - 2*j**3 - 4*j**2 + 4*j**2 - 60*j**3 + 10*j**3 - 41*j**3.\nAnswer: -85*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8735 divided by 91.\nAnswer: -8735\/91","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -1543243 (base 6) to base 14\nAnswer: -25495","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 4390*b**2 + 206*b + 631. List the prime factors of i(-3).\nAnswer: 11, 3593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 178765*o - 3 + 2.\nAnswer: -178765*o - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v**2 + 19*v + 67. Suppose 35*x + 88*x + 1875 = -2*x. Give b(x).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = 4*o - 27. Suppose -n = -o*n - 12. Let a(k) = 2*k**2 + 7*k + 5. What is a(n)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 1 - 1)*(1 + k - 1)*(-3 + 2 - 3) in the form r + y*k and give y.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1.3 greater than or equal to -140?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 32 + -22. Solve 6*s + n = s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 2*g**3 - 70*g**2 + 422*g + 73. Calculate d(8).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -162660586 - -256710591. Suppose 8*i + 5*f - y = 5*i, -5*i - 5*f + 156750005 = 0. Round i to the nearest one million.\nAnswer: 31000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (5 - 1)*(-7 - -8). Suppose -2*v = f*g + 41 - 53, g = 3*v - 25. What is the smallest common multiple of (-1 - -2 - -23) + 0 and v?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 66303.6 centimeters in kilometers?\nAnswer: 0.663036","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pdqxxqxmxmq. What is prob of sequence qx?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -823*h**2 - 3*h*v**2 - 12*v**2 - v - 32 wrt h.\nAnswer: -1646*h - 3*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6798*h**2 + 5978*h**2 - 19554*h**2 + 6784*h**2.\nAnswer: 6*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2553*n - 1043*n**2 + 1042*n**2 - 4850*n.\nAnswer: -n**2 - 2297*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 - -0.7. Let t = m + -0.2. Let n be (-210)\/147 - (-12)\/14. Which is the second smallest value? (a) 5 (b) t (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -7*k**2 - 7*k - 2. Suppose 0 = 4*h + 8, -3*z + 2*h = -6*z + 98. Let i = z + -45. Let s(m) = -4*m**2 - 4*m - 1. Calculate i*s(c) + 6*p(c).\nAnswer: 2*c**2 + 2*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 95?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4 - -444323?\nAnswer: 444331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 14 and 322?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (59*l - 109*l + 71*l**2 + 50*l)*(-2 + 2 - 2*l + 2).\nAnswer: -142*l**3 + 142*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 361*u - 358*u + 5 = b, -3*u = 3*b + 9 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a milligram in micrograms?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:44 AM and 3:25 PM?\nAnswer: 341","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bg when two letters picked without replacement from {b: 3, g: 1, s: 1, k: 2}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o**2 + 17*o - 14. Let k be -3 - (-3 + 1) - -3. Suppose -k*a + 3*a - 11 = 0. What is the units digit of c(a)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -4, 5, 6830, -258 in ascending order.\nAnswer: -258, -4, 1, 5, 6830","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-75)\/9)\/(2\/(-6)). Suppose -4*q = q - v. Suppose -5*g = -2*j + 3*j - 20, 4 = g. Solve -5*h + q = 0, j = -4*y + 2*h + 2*h - 12 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1719*z + 1436*z - 992*z + 2807*z in the form y + k*z and give k.\nAnswer: 4970","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 3, 100, -5, -4.\nAnswer: -5, -4, 1, 3, 100","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1752*x - 28587 + 2658 - 7359 = 0 for x.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + (-17 - -2 - (9 + -4))?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 576 minutes after 3:00 PM?\nAnswer: 12:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 72 divided by -22.\nAnswer: -36\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 0.09739 * 5\nAnswer: 0.48695","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the third derivative of 2\/3*v**4 + 0 + 0*v + 37*v**2 + 41\/60*v**5 + 0*v**3. What is the second derivative of o(h) wrt h?\nAnswer: 82","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1583 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -27 + 21. Let v(j) = j**3 + 5*j**2 - 5*j - 5. Determine v(d).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 102303 - 2?\nAnswer: 102301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 4*a + 21 = 0. Let h(x) = -5*x + 7. Let y be h(a). Let z = y + -14. What is the remainder when z is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -2*d - 28. Let h(l) = -1. Let u(a) = 5*h(a) - k(a). What are the prime factors of u(10)?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m**2 - 6*m + 6. Suppose -1 = 4*y - 29. Suppose 2*c - y - 3 = 0. Let a be n(c). Let t(p) = -13*p**2 + p. Determine t(a).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1247 + -3.7?\nAnswer: -3.8247","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 210, -2\/5, -18, -11, 0 in increasing order.\nAnswer: -18, -11, -2\/5, 0, 210","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + (0 - -2) + 1 + 57 + (-4233 - -4231).\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 h when two letters picked without replacement from pxhxhplxxxxhxxh.\nAnswer: 32\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 2*l**3 - 3*l**2 - 3*l + 2. Let j(d) = 4*d**3 - 6*d**2 - 5*d + 3. Let z(i) = 52*i + 627. Let r be z(-12). Determine r*j(t) - 5*w(t).\nAnswer: 2*t**3 - 3*t**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does -238404543 = -238404541?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t = 2*l - 14, -4*t = 3*l + t + 4 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 5929?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 93979673?\nAnswer: 93979673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.299095029 to two decimal places.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 252 is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 31\/5 of a micrometer?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 13 - 8. Suppose -4*m + 3*h = -4, 2*m = -h - 3 + f. Let p be ((-3)\/54)\/(m\/8). Sort -1, -4, p in decreasing order.\nAnswer: p, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65*k - 51343 - 121037 = 0. Is 13 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 3*s. Let i(c) = c - 333. Give i(l(g)).\nAnswer: 3*g - 333","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 120 and 20820.\nAnswer: 41640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 860778?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.6 + 44687810.\nAnswer: 44687809.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 231 minutes after 6:14 AM?\nAnswer: 10:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/5 in -100, -4, -1\/9, -8, -1?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5 + 13263?\nAnswer: 13301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17374?\nAnswer: 2, 7, 17, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3.2 - 3. Let h be 7\/252*9*16\/(-66). Which is the second biggest value? (a) 4 (b) h (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the first derivative of 67\/10*b**4 - 112\/3*b**6 - 1\/5*b - 7\/20*b**2 - 296\/25*b**5 + 4 + 73\/30*b**3. What is z in g(z) = 0?\nAnswer: -1\/4, 1\/5, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 945 + -7485\/8. Suppose 0 = a + 4, -t + 7*a = 2*a - 2. Calculate the common denominator of b and ((-16)\/(-84))\/(2\/t).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0 - (-6 + 4 - 2). Suppose -3 + 15 = -s*a. Which is greater: a or -11\/4?\nAnswer: -11\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 136 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -3*d + 24 - 2*d + 3*d. Let y be r(-10). Suppose -3*v - 12 = 0, -3*h - 2*v = -v - y. What are the prime factors of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 + 3 - 4)*(3 + 2*p - 3)*(9 - 19 + 48) + (-1 + 0 + 0)*(p - 2*p - p))*(-8*p**4 - 12*p**4 + 26*p**4).\nAnswer: -900*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a**1\/a))**(-13)*(a\/(a*a\/a**5))**50 assuming a is positive.\nAnswer: a**187","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**3 + 8*s**2 + 8*s - 6. Calculate x(-6).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 34 (base 15) to base 2.\nAnswer: 110001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02278 rounded to 3 decimal places?\nAnswer: 0.023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(3\/4)\/p)\/p*p\/p**10*p)**33 assuming p is positive.\nAnswer: p**(-1221\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 24 + -21. Solve -u*n - 25 = 2*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.028127018 to 2 decimal places.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 15, o: 5}. Give prob of sequence bob.\nAnswer: 35\/228","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, y: 5}. What is prob of sequence ii?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6079 + 6055 + 6065 - 18167 - 3*y.\nAnswer: -3*y + 32","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 223880 divided by 386\nAnswer: 580","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 1176*r**2 + 11*r - 10. Is x(1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of -12*((-6)\/(-8) + (5 - 4))*-2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -864.379 + -0.5.\nAnswer: -864.879","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1164236?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -198, -1, -19, 3, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in eighty-seven fifths of a micrometer?\nAnswer: 17400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h**3 - 4*h**2 - 5*h - 8. List the prime factors of j(-4).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12 - 2121020011?\nAnswer: -2121012222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the first derivative of 4*m**3\/3 - 54*m**2 + 104*m + 203. What is f in n(f) = 0?\nAnswer: 1, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 85867 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 70 + -58. Suppose -v + 3*v = w - 7, -3*v = i. Is 18 a factor of -4*w\/4 + 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - u = -6*u - 15081, 2*u = -5*y + 75324. What are the prime factors of y\/72 + (-6)\/(-8)?\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 136 and 194848?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39873 is divided by 1527?\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 799628*-0.4.\nAnswer: -319851.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.15, 51, -7 in decreasing order.\nAnswer: 51, -0.15, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**4 - 96*j**3 + 1622*j**2 - 6924*j + 8928.\nAnswer: -2*(j - 8)*(j - 3)**2*(j + 62)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -q**3 + 5*q**2 - 2*q - 5. Let b = -5 - -9. Let a be y(b). Let j = -7 + 7. Solve -a*d + d + 2*l - 20 = j, -4*l = 4*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the second derivative of 1535*c**3\/3 - 541*c**2\/2 + 70*c + 17. What is the derivative of h(s) wrt s?\nAnswer: 3070","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 - 24 = -4*p + 5*f, 3*f = 3*p - 36. Suppose -3*c + 28 = c. Calculate the highest common factor of p and c.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 29*k**2*q + 2*k**2 + 186*k + 2*q wrt q.\nAnswer: 29*k**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1641 - -13119. What is the tens digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 184381363?\nAnswer: 23, 348547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5916 and 22?\nAnswer: 65076","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 57366969 to the nearest one million.\nAnswer: 57000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -2*d**3 + 4*d**2 + 35*d - 21. Let z be v(5). Solve z*p - 2 = -5*c, 4*p = -c - c - 4 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 834451 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(3\/14)*k)\/(k\/(k**16*k)))**(-4\/41) assuming k is positive.\nAnswer: k**(-482\/287)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 219911 is divided by 357?\nAnswer: 356","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2022 is divided by 554.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/897 and 41\/975?\nAnswer: 22425","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.3 - -0.3. Let d = -7 - l. Let a = -6.999994 - d. Round a to 5 decimal places.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1607.\nAnswer: 1607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve v**4\/8 - 33063*v**3\/8 + 34192285*v**2 - 511888734*v - 546085152 = 0.\nAnswer: -1, 16, 16524","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.253864l to millilitres.\nAnswer: 1253.864","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4721 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1582 = -2253*x + 2366*x for x.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = -9*t + 165. Suppose -6*o = 4*a - o - t, -a - 5*o - 3 = 0. Let j = 112 + -108. What is the highest common factor of a and j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 1, p: 4, s: 8}. Give prob of picking 2 p, 1 r, and 1 s.\nAnswer: 48\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 853.\nAnswer: 853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 97919.03um in nanometers?\nAnswer: 97919030","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from geigigiieieigi. Give prob of picking 1 g, 1 i, and 2 e.\nAnswer: 12\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -7 + 4*x + 0 - x**2 + 5 + 6*x. Is w(7) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ywyw when four letters picked without replacement from {w: 2, y: 8}.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1549?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/((-12)\/90*3).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2281*r**4 - 3*r**3 + 148*r**2 - 3*r + 30559695.\nAnswer: 9124*r**3 - 9*r**2 + 296*r - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(57)\/(sqrt(192)*4).\nAnswer: sqrt(19)\/32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 58\/209 and 81\/76?\nAnswer: 836","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**2\/l*l**4\/l*l*l*l**(-6)*l*l*l**4\/l*l*l assuming l is positive.\nAnswer: l**7","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.07, -1, 51\/4, 0, 0.2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 42\/39*(3 + 10) - 10\/2?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 minutes after 12:30 PM?\nAnswer: 1:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.820548l to millilitres.\nAnswer: 9820.548","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the first derivative of 3*u**5\/20 + 3*u**4\/4 + 3*u**3\/4 - 3*u**2\/2 - 3*u + 10. Factor p(g).\nAnswer: 3*(g - 1)*(g + 1)*(g + 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.14 from -30651.\nAnswer: -30650.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*2*sqrt(78)*-3*3)\/(((2*sqrt(294)*-3 - sqrt(294)) + sqrt(294) - sqrt(294)) + sqrt(294) + 2*sqrt(294)*4))**2.\nAnswer: 16848\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (15 - 5) + 6 + -14 + 5?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*z - 2*w = -z + 6, z - 9 = 3*w for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.08172444 and 230755.\nAnswer: 230754.91827556","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d - 33 = -8*p - 0*d, 0 = 3*p - 17*d + 18*d + 2 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: ((-288)\/(-16))\/(-42*(-5)\/20)\nAnswer: 12\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2644 and 1604.\nAnswer: 1060244","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4, -3, -2?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.5 - 0.9. Suppose w + 8 = -3*o, -3*w + 14*o - 17*o - 18 = 0. What is the second biggest value in h, -5\/4, 0.4, w?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47 = -21*p + 205. What is the biggest value in -0.3, 2\/17, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 13 + -9. Suppose 77*p + 17 + 571 = 273*p. Solve -k*s + 21 = p*t, 2*t - 1 = -s + 8 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -7*f**4 + 11*f**2. Let m(z) = -6*z**4 + 11*z**2 + 14*z**3 - 14*z**3. Let t(y) = -4*m(y) + 3*r(y). Find the third derivative of t(b) wrt b.\nAnswer: 72*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2574.4 plus -19478?\nAnswer: -16903.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 2*y**2 + 7*y + 2. Suppose 0 = 2*l - 2*d - 14, 0*d = 4*l + 3*d. Let b be -4*2 + 6\/l. Let m(c) = c**2 + 4*c + 1. What is b*a(u) + 11*m(u)?\nAnswer: -u**2 + 2*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5 + 13. Suppose 2*w = 5*w + 159. Let h = -43 - w. Calculate the smallest common multiple of p and h.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -69*s + 21*s + 192 = 0 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 4 + 4)*(-4*o + 3*o + 2*o) + (-1 + 2*o + 1)*(-3 + 2 - 2).\nAnswer: 6*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 267225907?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*d - z + 17302 = 8*d, 3*z = -d + 17314. What are the prime factors of d?\nAnswer: 2, 23, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1505 divided by -7\nAnswer: 215","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4432101.\nAnswer: 3, 31, 47657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00082220781 rounded to 3 decimal places?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 513029?\nAnswer: 11, 46639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -4 - (0\/(-9) - 6). Let g(w) be the second derivative of -1\/50*w**5 + 1\/15*w**3 - 2\/5*w**x + 1\/15*w**4 + 0 + 5*w. Factor g(r).\nAnswer: -2*(r - 2)*(r - 1)*(r + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -25058956.70899 - -18523635.609455. Let q = 6535340 + z. Let j = q - 18.9. What is j rounded to four decimal places?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -3*c + 65. Let b(x) = 2*x - 33. Let f(a) = 5*b(a) + 3*i(a). Let d be f(-26). Solve -d = m + 3*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 26261?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-325)\/(-13) - (-2 + 10)\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 42b90b (base 12) to base 5.\nAnswer: 232311430","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve q - 1 = -3*y + 2*q, -3*y - 1 = -2*q for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 384 a factor of 1569102?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the third derivative of 6*z**2 + 0*z + 8 - 1\/210*z**7 - 1\/120*z**6 + 0*z**3 + 1\/60*z**5 + 1\/24*z**4. Factor k(d).\nAnswer: -d*(d - 1)*(d + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 110*c - 682. Calculate s(6).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -4, 44, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 5*t - 5. Suppose -t*w + 4 = 10. Let v = 3 - 3.2. Which is the nearest to 0? (a) -5 (b) v (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -24983.1 + 24983. Let t = -0.36 - -0.06. Sort -1, -5, z, t in increasing order.\nAnswer: -5, -1, t, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7566168 divided by -4\nAnswer: 1891542","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1094259, 1094107, 1093855, 1093503, 1093051?\nAnswer: 1092499","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17985.\nAnswer: 3, 5, 11, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 21589596557 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 14 and 40.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -67 + (9 + -11 - -40).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3 (b) 0.4 (c) 195\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 15262 - 15310. Let o(m) = 2*m**3 + 95*m**2 - 47*m + 58. Give o(w).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -u**2 + 14*u. What is the remainder when 51 is divided by z(13)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 497927200 to the nearest one million.\nAnswer: 498000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 635 - -591. What are the prime factors of f?\nAnswer: 2, 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -2\/70029 and 89\/163401?\nAnswer: 490203","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 0*-338\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -926*u**2 + 15. Let p(t) = 9261*t**2 - 147. What is 5*p(b) + 49*w(b)?\nAnswer: 931*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 16) to base 6\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - (-2 + 0)) + -5 + -1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:11 AM and 7:50 PM?\nAnswer: 639","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.1 + 3.1. What is the second biggest value in 3\/16, -1, x?\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52*r**4 - 464*r**3 + 36*r**2 = 0. What is r?\nAnswer: -9, 0, 1\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.4 (b) 2 (c) 0.063 (d) 3\/14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 102797 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 uuumumpu. Give prob of sequence mpp.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: What is eleven eighths of a micrometer in nanometers?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -4, -21, -2, -15, -1 in increasing order.\nAnswer: -21, -15, -4, -2, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 5 = 2*o. Let v be o\/20 - 5952\/(-15). Suppose v = f - 5*g, -2*f = -5*f + 2*g + 1191. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 655363975.000586 - 655363315. Let t = 660 - w. Round t to four dps.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 21436 divided by -1\nAnswer: -21436","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41 - 49 = -30*c + 112 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3341121422 - 3?\nAnswer: -3341121430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -2403*u - 3981. Calculate the remainder when q(-4) is divided by 128.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (10\/(-6))\/(1\/(-3)). Suppose 4*v - 8 = 2*r, -3*v + 14 = -g*r - 20. Let k = r + 19. What is k rounded to the nearest ten?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*y**2 - 3*y**4 + 3*y**2 - y + 2*y**3 - 3*y**4 in the form i*y**2 + r*y + n*y**3 + m + z*y**4 and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1104 - 2210 + 4*l**3 + 1106.\nAnswer: 4*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -105268 + 2000524\/19. Find o, given that 50\/19 + 792\/19*o**3 - 348\/19*o**2 - 70\/19*o - f*o**4 = 0.\nAnswer: -1\/3, 1\/2, 5\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -772 + 247\nAnswer: -525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 171*g - 2639. Let v be s(16). Solve m = v - 100 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a + 54 = -8*r + r, 0*r - 32*a = -4*r - 188 for r.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -11*g + 30. Let n(t) = -5*t + 15. What is 9*n(z) - 4*v(z)?\nAnswer: -z + 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -492 + 1513. Suppose 0 = -9*p + 356 + j. Suppose 4*u - 179 = p. What is the units digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6716245, -6716198, -6716151, -6716104, -6716057, -6716010?\nAnswer: -6715963","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1379 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -15654 - 4?\nAnswer: -15661","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4290 - 12871\/3. Let q = -4.2 + -0.8. Which is the second smallest value? (a) 2\/3 (b) -0.3 (c) g (d) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f**5 + 12343*f**4 + 38056539*f**3 - 190554327*f**2 + 114465960*f + 343064484 = 0. What is f?\nAnswer: -6174, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Add together 8 and 3732072314.7.\nAnswer: 3732072322.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 678 minutes after 5:37 PM?\nAnswer: 4:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the first derivative of -4*b**3\/3 + 8*b**2 - 28. Let f(u) = 0. Calculate u.\nAnswer: 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*12\/(-10)*1562\/(-781)?\nAnswer: -12\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -6*r**2 - 11*r + 7. Let u(g) = g**2 + g - 1. What is h(i) + 5*u(i)?\nAnswer: -i**2 - 6*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 3 + 0 + 4*l**2)*(2*l**2 + 22 + 16 - 20).\nAnswer: 8*l**4 + 68*l**2 - 36","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 97\/90802458 and -11\/3363054.\nAnswer: 90802458","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -3691, -3815, -3939?\n\"Answer: -124*p - 3567","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 113 - -57. Suppose 0 = 5*q - 0*c + 5*c + o, 4*q + 3*c = -131. Is q < -28?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1051131999 and 87?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -23752 (base 8) to base 2.\nAnswer: -10011111101010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -45 - -464?\nAnswer: 418","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 749, 769, 807, 869, 961, 1089, 1259?\n\"Answer: p**3 + 3*p**2 + 4*p + 741","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*f - a + 37756 = 41*f, 62930 = 5*f + a. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vsdddvv. What is prob of sequence dv?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(24) - (-2*sqrt(1944) + sqrt(1944)))\/((sqrt(8) + sqrt(32)\/sqrt(4))*-2)*-4.\nAnswer: -40*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 686136 and 4972?\nAnswer: 686136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p and 2 i when four letters picked without replacement from iilpfffttppppllpll?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4*(-9)\/3 - -11980?\nAnswer: 2, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -295880 and -105891.\nAnswer: -401771","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/26*(-1118)\/688*(-4)\/23?\nAnswer: -1\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -b + 4. Suppose 0*i = b*i - 4. Is (4\/(-8))\/(i\/(-434)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.04348945 + 0.00227622.\nAnswer: -0.04121323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 31 + (4 - 1) + -8\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1931 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r + 5. Suppose 2*s + 3*s = 4*g - 202, -5*g + 242 = -s. Calculate the remainder when g is divided by p(-5).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -6*(-1 - 6\/(-9)). Solve 0 = s + 4*s + 2*i - 25, y*i + 10 = 2*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3581 + -2451. What is the units digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 487955?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:39 AM and 9:36 PM?\nAnswer: 597","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.69 less than 1106692361?\nAnswer: 1106692361.69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(3\/4)\/r)\/(r**7\/r)*r**(1\/4)*r**(-2\/5))\/((r**(-1\/4))**47\/(((r\/((r\/(r*r**(-2\/5)\/r))\/r))\/r)\/(r*r**(-8)*r))) assuming r is positive.\nAnswer: r**(219\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -0.2322, -2\/1511, 4, 2\/23?\nAnswer: -0.2322","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n + 11 + 13 = 3*r, 0 = -2*r + 8 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3 - (27\/3 + -1). Let i = n + 6. Let w(y) = y**3 + 21*y**2 - 3. Let o be w(-21). Put o, 3, i in decreasing order.\nAnswer: 3, i, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3)\/(-3)*1 - -3. Let r(o) = -8*o + p*o + 0*o. Let q(j) = j**2. Determine q(r(y)).\nAnswer: 16*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*c**3 - 48513*c**2.\nAnswer: -3*c**2*(c + 16171)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*(-13)\/(-39)*187\/51?\nAnswer: -22\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 53 - 37. Solve 4*k + q = -n + 2*n, 4 = n - k for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 321 and -2.\nAnswer: -642","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -159*v + 7172 = 17030 for v.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j - 5. Let p be w(-10). Let m(s) = -3*s - 2*s + 3*s + 2 + 3*s. Let b be m(p). Calculate the greatest common divisor of 7 and b.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the first derivative of 2*i**5\/5 - 5*i**3\/3 + 2. What is the third derivative of l(c) wrt c?\nAnswer: 48*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2\/637 + 14667\/5096. Calculate the common denominator of 37\/56 and d.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 4*m = -0*m. Solve 4*i + 3 = p, 0*i - 5*i + 2*p - 3 = m for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 14.1 and -1?\nAnswer: -14.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 513\/5 + -103. Suppose -15*c + 2 = -14*c. Let z be (39\/(-13))\/(c\/2). Sort z, 0, j in increasing order.\nAnswer: z, j, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 6*f**2 - 5*f + 51. Let i be z(5). Let o be (1*6)\/(9\/6). Suppose -o*v = -0*v - i. List the prime factors of v.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 871912652.\nAnswer: 2, 13, 281, 59671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rfq when three letters picked without replacement from bbhhfhhhbqchfqfrqbq?\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**2 - 128083*n.\nAnswer: n*(n - 128083)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*d - 30 = -26*d. Is d at least as big as 5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1467 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*f - f - 3*f + (19 + 12 - 5)*(38*f - 118*f - 35*f).\nAnswer: -2988*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*j + 67 - 61 = 0 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a**2 + 3*a - 12. Let w be u(-6). Suppose v - w*v + 70 = 0. Does 14 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = -9*x + 24. Let k(s) = -7*s. Determine k(x).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*j**2 + 515456*j.\nAnswer: 4*j*(j + 128864)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 73170 or 73171?\nAnswer: 73170","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 682306006 + 1\nAnswer: 682306007","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 159991 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -12624.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 a factor of 721385297?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*u - o + 24, -6*u = -7*u - 4*o + 20. Solve 3*q - u = h, -5*h + 20 = 2*q + 3*q for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 5 - ((7 + -3)\/4 + -1). Suppose 5*q - t = 3*r - 14, 12 = 4*r + 3*q. Solve -15*a**4 + 20*a**2 - 33*a - 38*a + 25*a**r + 51*a = 0.\nAnswer: -1, 0, 2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -238, 82, -5, 5 in increasing order.\nAnswer: -238, -5, -4, 5, 82","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3134 + 3014 = -12*u for u.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5578819 a multiple of 147?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-38)\/4*(-2 + 0). Suppose v + 1 = 5*u. Let w(s) = s**2 - 3*s - 2. Let n be w(u). Solve n*p + 3*p = -5 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 31238*d*g**2*i**3 - 2*d*g**2*i**2 + d*g**2 + 184*d*g*i**3 - 112*d*i - g**2 + 2*g*i**2 + 493*g*i - 4 wrt i?\nAnswer: 187428*d*g**2 + 1104*d*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 10 = 0, 3*j + 2*a = a + 11. Let f be -1 + j + 0 + 2 + -2. What is the units digit of (530\/(-4))\/(f\/(-4))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 7) to base 14.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -19994.96 + 19995. What is the nearest to 11 in 4, 1\/9, b, -3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 802 a factor of 16297540?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + h - 4 = 0, -2*b = -4*b - 5*h + 20. Let r(k) = -k - 2. Let p be r(b). Let j(m) = 12*m**2 + 27*m. Let v(i) = -i**2 - 2*i. Determine p*j(f) - 27*v(f).\nAnswer: 3*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v*v*v*v**(1\/4)*v*v*v**(-2\/3))**(-3\/14)\/(((v*v**(-1\/3))\/(v*v\/v**1))\/((v**(-4\/3)\/v)\/v**(2\/17))) assuming v is positive.\nAnswer: v**(-3155\/952)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -108, -2, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -58497, -53095, -47693, -42291, -36889, -31487?\nAnswer: -26085","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1179869 and 2439.6?\nAnswer: 1182308.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Let i = 43 + -39. Suppose -i - 84 = -8*x. Suppose 0 = -x*v + 15*v - 36. What is the remainder when v is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a = -5*a + 10. Let q = 5 - -1. Find the third derivative of 5*x**2 - x**a - x**2 - 4*x**q + x**6 wrt x.\nAnswer: -360*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-10)\/w**(-2\/7))**(-24))**(-49) assuming w is positive.\nAnswer: w**(-11424)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 9*i - 19. Let d be k(6). Suppose 3*o - 73 - d = 0. Suppose 12 + o = 2*j. Is 7 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**4\/9 + 8*o**3\/9 + 2*o**2\/3.\nAnswer: 2*o**2*(o + 1)*(o + 3)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7\/4, -270, 1.\nAnswer: -270, -7\/4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 42255989983 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 96053566 a multiple of 322?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hhce when four letters picked without replacement from eycyhyyyceeh.\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*i = -7 + 35. Calculate the remainder when 22 is divided by i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 1, x: 3, y: 1}. Give prob of picking 1 h, 1 y, and 1 x.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -525 - -554. Let v be (-1 + (-97)\/3)\/((-480)\/400). Is v less than m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - (-2 + 3) - (-1 + 5)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q**3 + 8*q**2 - q + 2. Let s be m(-8). Suppose -s*j + 258090 = -5*j. Suppose -j = b + 61382. What is b rounded to the nearest 10000?\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(480) - sqrt(30))\/sqrt(6))**2 + sqrt(45)\/(sqrt(9)*-1).\nAnswer: -sqrt(5) + 45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -377*w - 357. Calculate the least common multiple of f(-1) and 3 + (-138)\/4*(-2 - 0).\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3542 divided by 77\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b + 8 = -3*s, 0 = -4*s + 8*s + 3*b + 15 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3257 by 1619.\nAnswer: -3257\/1619","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7238 = c + 2*c + p, 2*p + 4812 = 2*c. What is the units digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -21503054 (base 8) to base 14.\nAnswer: -8844d6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 48568?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g and 2 t when four letters picked without replacement from tttggt?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7509, -7512, -7517, -7524?\nAnswer: -7533","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5 and -10.45041.\nAnswer: -52.25205","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1828*a = -1013*a + 3444*a - 12777 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -22, 5, 15.59?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 2*k = -35, 3*k + 40 = i - 2*k. Suppose n = -4*n + i. What is the least common multiple of 2 and n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 2, k: 4, i: 3, r: 2, v: 1}. What is prob of picking 1 r, 1 i, 1 k, and 1 v?\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -2.4 (b) -11 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 453 minutes before 5:01 PM?\nAnswer: 9:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 7 + -11 - -5 - -2\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -2*p**3 - p + 30. Let d be m(-7). Suppose -4*t = d - 251. Let o = 68 + t. Does -50 = o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*g - 260*g**2 + 276*g**2 - 334*g**2 + g as z + c*g**2 + w*g and give c.\nAnswer: -318","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z**2 + z - 67. Let m be s(8). Solve 2*l = -5*y + 13, m = 6*l - 2*l + 3*y for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 3 - 4 = 0. Let b be 3\/(-6)*2*15. Let o = c - b. What are the prime factors of o?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1191862 to the nearest integer?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5445\/1106 - -135\/79. What is the common denominator of -61\/8 and d?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 14643811 and 11284.\nAnswer: 2821","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 189.86 + -189.8599928116. Round f to 6 dps.\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 944, -2, 4, -164, -5, 2\/9 in ascending order.\nAnswer: -164, -5, -2, 2\/9, 4, 944","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 8\/36 + 83\/(-9). Let c(o) = 4*o**3 + 12*o**2 - o + 9. Let m be c(-3). Let v(r) = 135 + 3*r - 136 + 8*r**2 - m*r + r**3. What is v(i)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pydyddadpaaannddd. Give prob of picking 1 a and 1 d.\nAnswer: 7\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 3595723 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1349 and 152?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -207104*p - 6996 = -207210*p for p.\nAnswer: 66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1908 a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zczoao. Give prob of sequence ooc.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45*w = 455 - 98 + 93 for w.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Do -27009 and -27008 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the second derivative of -s**4\/78 + 4*s**3\/39 + 5*s**2\/13 + 11*s. Find m, given that y(m) = 0.\nAnswer: -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3429 - 3427)\/(((-3)\/10)\/(1122\/(-7565)) - 2).\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 6 = 0, -6*f - 3 = -9*f + p. Calculate the common denominator of 107\/10 and 3 + f + (-150)\/44.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -114030433411 - -5?\nAnswer: -114030433402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 2*p - 8 - 2*p + 2*p. Let r be v(6). Differentiate 1 + 2 - 1 + w**r with respect to w.\nAnswer: 4*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 734728.8554 to the nearest one thousand.\nAnswer: 735000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10\/28)\/((-60)\/15*(-3)\/216*-9).\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + j = 6*j + 24, 3*y + j + 10 = 0. Let r be -2*((-7)\/y + -2). Let x = 109 + -106. Sort x, r, 0.\nAnswer: r, 0, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1203073?\nAnswer: 17, 70769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -772, 7, 16, -4 in increasing order.\nAnswer: -772, -4, 7, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 2*(5*(sqrt(55) - (sqrt(55) - -2*sqrt(55))) + sqrt(275)\/(sqrt(15)\/sqrt(3)))\/((-1*sqrt(2420))\/sqrt(4)).\nAnswer: -4 + 18*sqrt(11)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d**4\/7 + 1045*d**3\/7 + 36407*d**2 - 2627365*d\/7 + 6634350\/7 = 0. Calculate d.\nAnswer: -641, -414, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1528*x**2 + 34417*x**2 + 12426*x**2.\nAnswer: 45315*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the first derivative of -u**6\/21 + 26*u**5\/35 + 23*u**4\/7 + 64*u**3\/21 + 850. Find m, given that h(m) = 0.\nAnswer: -2, -1, 0, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 9*h**2 - 3. Determine u(-1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = 7*p - 15. Let a = 96 - 104. Let c be (2 - (-1 - -2))*a\/28. What is the closest to c in 3\/5, p, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2149.553 to the nearest 100.\nAnswer: 2100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1323551 is divided by 661739?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q**2 - 33*q + 433. Calculate m(10).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -18\/13 + 6\/13*y**4 - 2\/13*y**5 - 20\/13*y**2 + 12\/13*y**3 - 42\/13*y.\nAnswer: -2*(y - 3)**2*(y + 1)**3\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q**2 + 7*q - 14. Let z(x) = x**2 - 7*x + 13. Let a(d) = -6*i(d) - 7*z(d). Give a(6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 3*t - 10 = 0. Suppose 20 = t*y - 0*y. What is the derivative of -y + 6 + 4*m**3 - 10*m**3 wrt m?\nAnswer: -18*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o + 4*o - o)*(-1861 - 102 - 1289 - 2757).\nAnswer: -12018*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1 + -17a3d900?\nAnswer: -17a3d901","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 212 = 2*t + n, 374 = 4*t + 4*n - 50. Let g = t - -84. Is g a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 139 - 137. Suppose n*v - 2*o - 3*o - 36 = 0, 0 = -2*v - 2*o + 64. Solve -7*d + v = -7 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4711*j**3 + 1001*j**3 + 3682*j**3.\nAnswer: -28*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 302 is divided by 61?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 7\/612 and -131\/762.\nAnswer: 77724","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from kkkkgkkkkkkkkkkggk?\nAnswer: 35\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 5*j**2 - 2*j + 6. Let s(q) = 4*q**2 - q + 5. Calculate -2*b(n) + 3*s(n).\nAnswer: 2*n**2 + n + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.006 in -4, -273, -0.35?\nAnswer: -0.35","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -157351, -157356, -157357, -157348, -157323, -157276, -157201, -157092?\n\"Answer: a**3 - 4*a**2 - 157348","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 + 237. Calculate the highest common divisor of n and 34.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -3*i**3 + 8*i**2 + 92*i + 256. Calculate z(-3).\nAnswer: 133","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 minutes before 10:24 PM?\nAnswer: 9:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -556 + 555.79. Let m = -163\/4 - -41. Is m at least as big as d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = 12*z - 14*z. Is -13 equal to z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 630803257 to the power of 1\/3, to the nearest integer?\nAnswer: 858","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-8)*(-42)\/(-7)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/(-1740)*40\/(-30)*-3)\/((-7)\/(-105)).\nAnswer: 3\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/(-4)*12\/(-54)*6.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w**2 - 6*w + 6. Let f(n) = n**2 - 14*n - 5. Let i be f(14). Is l(i) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50 = 26*y - 31*y. Suppose -5*o + 25 = -y*o, -5*g = 3*o - 5. Solve -g = 2*j + 6 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4826 + 4902. What is the remainder when 141 is divided by x?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 67780.\nAnswer: 2, 5, 3389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 18 * 11\nAnswer: 198","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 13*c**2 - 19*c + 3. Let n(p) = 37*p**2 - 55*p + 9. Let k(f) = -17*i(f) + 6*n(f). What is k(5)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.007 + 0.393. Suppose -2*j - 33 = -5*f, -3*j + 5*f = -0*f + 37. What is the second biggest value in j, u, -7?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 4 = -4*z, 0*f = 3*z - f - 10. Let t = 899 + -891. What is the remainder when t is divided by z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -9\/64 and 9\/616.\nAnswer: 4928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 4, -16, 3 in descending order.\nAnswer: 4, 3, -1, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -1753*v - 966*v + 2985*v - 1039*v in the form i*v + s and give i.\nAnswer: -773","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 391 minutes before 8:34 AM?\nAnswer: 2:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + -4*(1 + sqrt(275) - sqrt(275)) + sqrt(275) + 2)**2.\nAnswer: -70*sqrt(11) + 324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/77, 2, -17 in decreasing order.\nAnswer: 2, 2\/77, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 132499?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -5*k, -4*o - 154 = -8*o - 2*k. Let b(c) be the first derivative of -1\/4*c**4 - o - 1\/2*c**2 + 5\/3*c**3 + 0*c. Determine b(4).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i - o + 13 = -1, -8*o + 28 = -4*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**0*t)\/(t**6*t)*(t**1*t)**(-11) assuming t is positive.\nAnswer: t**(-28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*a - 3*a + 126 = 0. List the prime factors of (-12)\/a - (-12)\/7.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15 + 20\/(340\/11441) is divided by 26?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 100*h + 1467. What is p(-18)?\nAnswer: -333","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -494*f = -453*f - 328 for f.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7 + 6018. Does 46 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000023930225 to seven dps.\nAnswer: -0.0000024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.1 (b) -1.2 (c) 10\/13 (d) -2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -15 - -87. Let m = -73 + v. What is the biggest value in 2, 4, 0.4, m?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zrzr. Give prob of picking 2 r and 2 z.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -58263, -0.3, 7 in increasing order.\nAnswer: -58263, -0.3, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1938 (base 10) to base 16.\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2b (base 16) to base 3.\nAnswer: 1121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1558.\nAnswer: 2, 19, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 549 minutes before 1:13 AM?\nAnswer: 4:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(2592) + sqrt(2592)*2 + -1 + 2*sqrt(2592)*-3)**2.\nAnswer: -864*sqrt(2) + 23344","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*a + 12 = 2*c + 3*a, -c = 2*a - 2. Calculate the remainder when 5 is divided by c.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*m + m + 4*m)*(-m + m - m**2) + 5*m**3 - m**2 + m**2 - 6 + 2*m**3 - 2*m**2 + 6.\nAnswer: 6*m**3 - 2*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -616 * 0.1\nAnswer: -61.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 68*l**3 - 2*l**2 + l - 1. Let w be s(3). Let a be (-16834)\/w - (-1 - -2). Let v = 50\/91 + a. Calculate the common denominator of 19\/4 and v.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -880 - -884. What is the smallest value in -3, -26, v, -0.1?\nAnswer: -26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 - 5) + 0 - 3?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12 + (-2 - (17 + -47)) + -8 + -67?\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-18 - (18 + -90)) + -68 + 47.\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 92 minutes after 3:32 AM?\nAnswer: 5:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the second derivative of 0 + 3\/8*s**2 - 3\/40*s**5 + 3\/8*s**3 + 1\/8*s**4 - 2*s - 3\/40*s**6 - 1\/56*s**7. Suppose m(d) = 0. What is d?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 144115\/52 + -2771. Calculate the common denominator of -57\/22 and w.\nAnswer: 572","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -6*u + 17. Let t(r) = 2*r - 6. Let y(f) = 6*c(f) + 17*t(f). Let h(d) = -d**2 + 2. Let x(z) = -z**2 + 1. Let a(i) = h(i) - 2*x(i). Determine y(a(l)).\nAnswer: -2*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 172444005209 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 419*p**4 + 25*p + 3043.\nAnswer: 1676*p**3 + 25","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4276493 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -4*l, -2*l = -4*p + 3*l + 40. Let c be 32\/(-7) - (-12)\/3. Sort c, p, 2\/3 in descending order.\nAnswer: p, 2\/3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 6\/300*5\/8. Let x(g) be the second derivative of 0*g**2 - 1\/48*g**4 + 0 - 1\/12*g**3 + j*g**5 + g. What is z in x(z) = 0?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*i - 3326 = 58. Let g = 467 + i. Let f be 3\/(15\/20) - -1*g. Calculate the greatest common divisor of f and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 363, 2, -10 in ascending order.\nAnswer: -10, 2, 4, 363","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 4*d + 6 = 0, -4*x - 18 = -6*d + 11*d. What is the common denominator of 6\/(-48)*(57 - (0 + x)) and -89\/30?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18 = -487*w + 496*w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -8822*h**2 - 142*h + 1848036.\nAnswer: -17644*h - 142","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6? (a) 4 (b) -0.14065 (c) 2\/17 (d) 0 (e) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c - 1. Let q = 3 + -3. Suppose 2*h + 12 - 4 = q. Let w be x(h). Solve 17 = -4*i - g, 3*i + 5*g + 37 - w = 0 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1594*31\nAnswer: 49414","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -17, 3, 5, 0.4 in descending order.\nAnswer: 5, 3, 0.4, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 5\/357 and 52\/287.\nAnswer: 14637","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -63360, -253555, -570548, -1014345, -1584952, -2282375?\nAnswer: -3106620","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 935 - 475. What is the remainder when h is divided by 42?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - (1 + (1 - (9 - 4)))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2e1d9 (base 15) in base 3?\nAnswer: -21120021220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*c**2\/8 + 12313629*c\/4 - 12313623.\nAnswer: -3*(c - 8209082)*(c - 4)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -79760496 divided by 6.\nAnswer: -13293416","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32 - 33 + 23 - 173*j**2 - 59*j**2.\nAnswer: -232*j**2 + 22","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -135*n - 1 + 0 + 3 + 135*n - 14*n**2 + 62*n**3.\nAnswer: 62*n**3 - 14*n**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.95 - -0.05. Let n = 4.74 + 0.26. Sort -0.3, n, p, 4 in decreasing order.\nAnswer: n, 4, p, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*z + p + 316, 3*p + 176 = -3*z - p. Let n be (19 + -221)*(-5)\/40*-4. Let d = z - n. Is 6 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -40*c**2 - 370*c + 479008 wrt c.\nAnswer: -80*c - 370","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -4*s + 20. Calculate the smallest common multiple of u(-7) and 16.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 188*z - 902 + 3234 - 1087 = -61*z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2\/((-78)\/(-3)))\/(-3). Let j = -4\/13 + f. Which is the closest to 0.1? (a) 0.2 (b) j (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -3*y**2. Let p(b) be the first derivative of 4*b**3\/3 + 5. Calculate r(p(d)).\nAnswer: -48*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -33571 to the nearest 10000.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 9239, 36869, 82951, 147485, 230471, 331909, 451799?\n\"Answer: 9226*b**2 - 48*b + 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j**3 - 10*j**2 + 7*j + 8. Let v be c(9). What is the units digit of (1 + -4)*v\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1025 divide 3158025?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -70954661*j + 76208441?\nAnswer: -70954661","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -21754, 3 in descending order.\nAnswer: 3, -4, -21754","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7263 and 54.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 43410902089 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 22.413 + -22.453164. What is d rounded to 3 decimal places?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/149254 and -33\/21322.\nAnswer: 149254","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 126 minutes before 12:02 PM?\nAnswer: 9:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/3 (b) 0.3 (c) 682482 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 40144578157 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0 (b) -3100 (c) -25661\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the first derivative of -k - 2. Let t(n) = 2*n - 2. Let y(f) = -2*a(f) + t(f). Let x(u) = u**2 - u**2 + u**2. Calculate x(y(b)).\nAnswer: 4*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -3.9508618*1\nAnswer: -3.9508618","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -20 by 1792214.\nAnswer: -10\/896107","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -32*k**4 - 179692*k + 208478247?\nAnswer: -128*k**3 - 179692","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-10)\/3)\/(1\/(-3)). Suppose 0 = -3*p + 2 + y. Determine i, given that -25 + 15 + 10 + p*i**3 - 4*i**2 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 20.4 + -19.9. Let t = -50 + 35. Sort 5, t, p, -0.2 in ascending order.\nAnswer: t, -0.2, p, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -211.02 + 209. Let j = 5 - 3. Let i = j + d. What is i rounded to 2 dps?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 525 divide 101879081?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -584 and -10?\nAnswer: 5840","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -201 (base 8) to base 4.\nAnswer: -2001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34 is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19893308?\nAnswer: 2, 4973327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 4083823 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 6*p**3 - 4*p**2. Let c(r) = 7*r**3 - 5*r**2. Let i = -2558 - -2562. Calculate i*c(s) - 5*j(s).\nAnswer: -2*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c**3 - 5*c**2 + 3*c. Let o be z(-5). Suppose -2*v - 2*v - 44 = 0. Let s = v - o. Is s a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1201001 - -11?\nAnswer: 1201012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 9*y - 16. Calculate h(23).\nAnswer: 191","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3279775876 to the power of 1\/10, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -420\/187 greater than -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -461063627*c**2. Let w(j) = -3*j. Give g(w(s)).\nAnswer: -4149572643*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 3756083 a multiple of 142?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 + (-2 + (1 - -9) - 10 - -28)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(-3564)*(-44739)\/(-3314).\nAnswer: -1\/88","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1444 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 i(j) = -3*j**3 - 2*j**2 - 2*j - 1. Let u be i(-1). Let r(k) = 4*k - 10. Let n(x) = x**2 + x - 1. Let z be n(-3). Let v be r(z). Solve -3*o = u*o - v for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4155103607 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 8 divided by 1632\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 168 a factor of 8042019?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = 3*v - 4*f, 4*f - 25 = -v + 3*f. Suppose -6*c = -5*x - c + v, 5*x - 20 = c. Suppose -6*z + x*z = -140. What are the prime factors of z?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i**3 - 4 + 2*i**3 + i - 9*i**2 + 2*i + 0*i**3. Let j be 8*2\/2 + 1. Is m(j) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -0.3, 2, -5, 153?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3\/14, 0, 11.92?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 419449 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**2\/7 + 5312*w\/7 + 3527168\/7.\nAnswer: 2*(w + 1328)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-544)\/1592*5\/2. Is n at least -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63151 = -18*v + 43337. What is the units digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 12309082?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n**2 - 5*n - 4. Let r be g(-4). Let s(p) = p**2 - 11*p + 2. Let h be s(12). Let k = h - 12. Solve -k*q = 4*x + 4, 4*x + 3*q + 4 = -r*q for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 210.00445 + -210. What is t rounded to 4 decimal places?\nAnswer: 0.0045","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14 + -21 + 4 + 0.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -48, -38, -24, -6, 16, 42?\nAnswer: 72","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from agk. Give prob of sequence gk.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 81*w - 4*w = -238*w + 4095. Solve 0 = -w*r - 12 - 14 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -110*d + 99*d = 429. Does 10 divide (-13)\/(d\/1140) - (5 - 1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*s**2 - 457*s**3 - 2*s**4 + 457*s**3 + 1 + 2*s in the form j*s**4 + y*s**2 + t + l*s**3 + p*s and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 4565*y - 73060. Give i(16).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/2*38\/95.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 45288197 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d**3 - 4*d**2 - 2*d. Let g be f(-5). Let o be 8\/g + 1\/5. Let s = 226 + -230. What is the second smallest value in s, o, -1\/11?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 34\/45 and 1\/435.\nAnswer: 1305","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 2 + 22 = 0. Suppose -3*q - a + 8 = 0, q + 32 = 5*q - 4*a. Suppose j + q = z. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -2, -48, 689\/5 in descending order.\nAnswer: 689\/5, 2, -2, -48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 33246?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 660 - 658. Solve s*h - 3*h = -2*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8 + 15. Let r = 1203 - 1207. Put z, -8, r in descending order.\nAnswer: z, r, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/2 + (-6)\/(-12). Let f be (1\/2)\/((-2)\/(-8)). Sort f, k, -5 in ascending order.\nAnswer: -5, k, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.422 + -0.3\nAnswer: 0.122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 337 = -87. Let b(r) = -4*r**3 + 92*r**2 + 3*r + 62. Let c be b(23). Let z = c - u. Solve -z*n + 2*n = 4 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 64 a factor of 38976?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 3*n = -0*u + 33, 32 = 2*u + 4*n. Let c(j) = -15*j + 67. Let l be c(5). What is the common denominator of -73\/8 and ((-35)\/6)\/(l\/u)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7.04 + 0.04. Let m = -12.5300542 + 5.530027. Let s = m - t. What is s rounded to 6 dps?\nAnswer: -0.000027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2 or 2058306.62?\nAnswer: 2058306.62","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 255 a factor of 101745?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(88) - 3*1*sqrt(88))\/(sqrt(16)\/sqrt(8)).\nAnswer: -4*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4950, 9894, 14828, 19746, 24642, 29510?\nAnswer: 34344","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 520 + -544. Which is the second smallest value? (a) 4 (b) h (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.9489214 millilitres?\nAnswer: 0.0009489214","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8.4 + -8. Let q = k + -0.7. What is the second smallest value in -4, -1, q?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((-2 + sqrt(2736) - sqrt(2736))*5)**2 + -3 - (-1 + 4 + (sqrt(2736) + sqrt(2736) + sqrt(2736) + sqrt(2736) + 0 + sqrt(2736))*1)**2.\nAnswer: -68112 - 360*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the second derivative of 28*p**6\/15 + 10*p**2 + 22*p. Differentiate t(b) wrt b.\nAnswer: 224*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the second derivative of -x**7\/189 + 2462*x**6\/135 - 67322*x**5\/3 + 275682769*x**4\/27 + 553387661*x**3\/27 + 7452*x. Factor b(p).\nAnswer: -2*p*(p - 821)**3*(p + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s - 13 = -10*w + 19, w - 8*s + 6 = -3*s for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t**2 + 3*t + 1. Let f be q(-4). Suppose -4*j - f = -a, j - a + 4 = -2*j. Put -5, j, 1 in descending order.\nAnswer: 1, j, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m = -o - 19, -m = -5*m + 3*o for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2073364680 to the nearest integer?\nAnswer: 1275","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**9\/i**(-6))\/(i**(-3))**(-26\/9) assuming i is positive.\nAnswer: i**(19\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 - (-7 + -2 - 4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 4002148 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that 18\/5*p**3 + 0 + 0*p + 3\/5*p**4 + 3*p**2 = 0.\nAnswer: -5, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + v)*(-342*v + 45*v**2 + 682*v - 341*v)*(3*v**2 - 5 + 5).\nAnswer: 135*v**5 - 3*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 323934911?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by -2654855\nAnswer: 4\/2654855","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r**3 - 10*r**2 - 4*r - 18. Let p be l(14). Let w = -181 + p. What is the hundreds digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 414 * -9464.9\nAnswer: -3918468.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (476\/(-77))\/(4\/2*(-2)\/22).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (sqrt(637) - (-6*(sqrt(637) + 0))**2))*1 - (-4*(2*sqrt(156) - sqrt(156)))\/(sqrt(96)\/sqrt(2) + sqrt(48) - sqrt(12)).\nAnswer: -22929 + 25*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -39 + -31 + 30 + 4 + -2?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -2*q**2 + 58*q + 2. Let g be s(29). Let v(z) = z**3 + 8*z**2 + 4*z - 6. Let k be v(-6). Suppose 0 = -b - g*b + k. List the prime factors of b.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -151*h - 148*h - 156*h - 155*h - 344*h - 151*h + 1107*h.\nAnswer: 2*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4245 + -3881. What is the highest common factor of g and 455?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 52642, 101512, 150382, 199252, 248122?\n\"Answer: 48870*x + 3772","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the third derivative of 11*z**5\/60 - z**4\/3 + 3*z**3\/2 - 6*z**2. Let w be v(6). Is w\/15 + (-24)\/30 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -33265, -124493, -276539, -489403, -763085, -1097585?\nAnswer: -1492903","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 5015, 10036, 15049, 20048, 25027, 29980?\n\"Answer: -h**3 + 2*h**2 + 5022*h - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -461*w**2 + 106*w**2 + 356*w**2.\nAnswer: w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1\/4354*38239 - 14\/49. Let s = c + 1\/311. What is the common denominator of (2\/20)\/((-2)\/5) and s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r = -3*u + 12, -u - 50 = -5*r - 0*r for r.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 2924?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -4*o + 2. Let t(p) = -3*p + 2. Let j(n) = 5*g(n) - 6*t(n). Let v(m) = -m. Let c be (-36)\/(-14) - 6\/(-14). What is c*v(q) - j(q)?\nAnswer: -q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 minutes before 12:31 PM?\nAnswer: 11:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a**3 + 10*a**2 + 6*a - 12. Let b be w(-9). Let d be -3 - (5\/b - 25\/3). What is the second derivative of -2*c + 2*c - 32*c**d + 4*c wrt c?\nAnswer: -640*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 3 + 1 - 10 + 6 + c**2 - 4. Let m(q) = -3*q + q + 5*q. Give z(m(p)).\nAnswer: 9*p**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1, 3, -7\/3, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l, 1 h, and 2 n when four letters picked without replacement from {l: 1, h: 1, b: 1, m: 5, n: 2, z: 3}.\nAnswer: 1\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (10482\/(-41928))\/(3\/(-72)*58)?\nAnswer: 3\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5344 - 4197. Which is bigger: 1146 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -9*u**3 + 5*u**2 + 8*u + 17. Let q(w) = 3*w**2 - 2*w**3 - 717 + 723 - w**3 - w**2 + 3*w. What is 3*b(i) - 8*q(i)?\nAnswer: -3*i**3 - i**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/(-112))\/((-85)\/((-4760)\/24))?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 19194 and -8.\nAnswer: -153552","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*i - 12*i**2 + 2*i**4 + 2*i**4 + 9*i = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57*z = 271526 - 751808. Does 24 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k**3 - 10*k**2 - 2*k + 22. Let o be d(10). Solve 8 = -o*x, -u = -2*x - 3 - 8 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34704?\nAnswer: 2, 3, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -23*w. Suppose h = -2*h - 159. Let s = h - -53. Let o(x) = s + 0 - 46*x + 44*x. Determine v(o(l)).\nAnswer: 46*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 124 is divided by 58?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the second derivative of 18*h - 2 - 12*h**2 + 11\/3*h**3 + 1\/30*h**5 - 5\/9*h**4. What is m in i(m) = 0?\nAnswer: 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 171.04413 microseconds to minutes.\nAnswer: 0.0000028507355","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kkaakxxahkhhkhk. What is prob of sequence xaxh?\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 261*m**3 - 42*m**2 + 81*m - 5. Let s be t(2). What is the highest common factor of s and 201?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/(-14))\/((-10)\/14).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2*c + 3*c - 2*c)*(-13*c + 20*c - 19*c) - 3*c**2 + 3*c**2 + 2*c**2)*(107 + 4*c - 115 - c).\nAnswer: 42*c**3 - 112*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 5*f - 3*b - 18, -4*f - 2*b + 2 = 0. Let s(n) = -n**2 - 26*n + 3. Let k be s(-26). Solve -f*o + 3 = k*w, 4*o - 3*w = -0*w - 31 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 106*u**3 + 3*u**2 - 10*u - 20. Is 231 a factor of s(7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is o in 48*o - 21*o**4 - 17*o**2 - 3*o**2 - 63635*o**3 + 36 + 63587*o**3 + 5*o**4 = 0?\nAnswer: -3\/2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1820691811.\nAnswer: 1820691811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 137463 to the nearest 1000.\nAnswer: 137000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the first derivative of -15*y**2\/2 + 167*y + 163. Let g be k(11). Solve g = 11*s - 10*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -226.648*-0.5\nAnswer: 113.324","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 54.98448km to centimeters.\nAnswer: 5498448","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 134589336.\nAnswer: 2, 3, 7, 801127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2 - 2.1. Let p = t + 0.5. Let n = 1.96 - -0.04. What is the third smallest value in -2\/5, n, p?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.2, 317, -0.093, 0.02?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1004)\/5522 - (46\/(-11) - -2). Let x = 0 - 0. Let n = 1 - -2. Solve -q - n = -s*u, -3*q - 2*q - u + 29 = x for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + (5 - (-1 + 10) - -16) + -5?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 98 = -2*g, -11*g - 3*q + 245 = -6*g. Solve g - 9 = 3*o - 5*n, o = n + 10 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -3*s**3 - 2*s**2 - 5*s + 4. Let x be o(-3). Let l = 136 - x. Calculate the remainder when 323 is divided by l.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*k - 4*k**2 + k + 8*k + 8*k.\nAnswer: -4*k**2 - 3*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -39\/4147088 and 47\/66.\nAnswer: 12441264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -4*l + 3. Let q(k) = -2. Let f(w) = -q(w) - v(w). Let i(u) = u**2. Calculate i(f(z)).\nAnswer: 16*z**2 - 8*z + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 41*h - 69*h + 7364. What is the remainder when h is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 88*b + 155 - 419 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 837744137?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 48.7 + -49. Suppose 0*y - 3*y = 4*y. Which is the nearest to y? (a) u (b) 3 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 938?\nAnswer: 2, 7, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5*q**2*r**2*s - 7865073*q**2*s**3 + q*r**2*s**3 - 35004*q*r - 567*r**2*s**3 wrt q?\nAnswer: 10*r**2*s - 15730146*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.063 + 3.013. Let z = h - 3. Let k = 1.05 + z. Is -6 less than k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7782 - -13936. Does 49 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = 14 - 6. Let q(u) = -j*u + 0*u + 0*u + u. Let s(w) = -4*w**2 + 5*w**2 - 3*w**2 - 8*w**2. Determine s(q(g)).\nAnswer: -10*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-9 + 2 + -2)*-1. Let p = 5 - u. Which is the nearest to 1? (a) p (b) -1 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i - 6 = 0, -8 = 4*v + 3*i - 2 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -17362 divided by -4\nAnswer: 8681\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -68*v**3 - 11*v**2 + 25*v - 1. Let n(q) = -68*q**3 - 10*q**2 + 25*q - 2. Let f(h) = -5*a(h) + 6*n(h). Is f(-9) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:09 AM and 1:51 PM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k + h + 11 = 0, 5*k - 7 = -6*h + 3*h for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -110 (base 6) to base 14.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 4*a + 11. Let x be u(-19). Let s = -51 - x. Calculate the smallest common multiple of 44 and s.\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(20))**2 + -4 + ((sqrt(210)*-3)\/sqrt(6) - sqrt(35))\/sqrt(7).\nAnswer: -4*sqrt(5) + 76","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k**2 + 3 + 2 - k**2 + 20*k - 7. Let r be z(10). Let a(i) = 4. Let j(g) = -g + 1. Give r*j(x) + a(x).\nAnswer: 2*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, 0.07, 1.3, -1\/4 in ascending order.\nAnswer: -1\/4, 0.07, 0.4, 1.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -9809 to the nearest 1000.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/4 - 13910\/520. Is -307\/12 smaller than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Expand (4*c**2 - 3*c**2 - 5*c + 3*c)*(-48 + 22*c + 100 - 51).\nAnswer: 22*c**3 - 43*c**2 - 2*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9899 by -20641.\nAnswer: -9899\/20641","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -77 + 81. Let i be ((-56)\/(-42))\/(4\/6). Which is the closest to z? (a) i (b) 1 (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1 + 2012?\nAnswer: 2011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 496 is divided by 245?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6, -4, -2, 0, 2, 4?\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w**3 - 13*w**2 - 17*w - 29. Let o(c) = -c**2 + 2*c + 12. Let a be o(6). Let k be b(a). Solve 3*m = 5*l + k, 2*l + m - 3 = -11 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-95625)\/250)\/(-9)*(-8)\/(-5)\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that -5*q**5\/2 + 60*q**3 - 155*q**2 + 285*q\/2 - 45 = 0.\nAnswer: -6, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + 4834142805?\nAnswer: 4834142807","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cccddeccde. What is prob of sequence ccc?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(-1)*(-103)\/206?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 389*w - 66*w + 22 - 12 - 10 in the form c + h*w and give h.\nAnswer: 323","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -129.178 + 129. Let i = 0.1779917 + g. What is i rounded to 6 dps?\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1a179 - -358?\nAnswer: 1a4d1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -189112 divided by 56.\nAnswer: -3377","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the second derivative of 0*b**3 + 0*b**2 + 0 - 29*b - 33\/20*b**5 + 2*b**4. Find the third derivative of i(h) wrt h.\nAnswer: -198","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*(sqrt(209) + sqrt(209)*5 + sqrt(209) + sqrt(209))*5)\/((sqrt(308) + 3*sqrt(308))\/sqrt(7)))**2.\nAnswer: 4275","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a + 13. Let o be u(-13). Suppose o*p = -5*p + 15. Suppose -10 = -3*m - 2*m - p*y, 3*y + 10 = 5*m. What is the lowest common multiple of m and 9?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = -4 - 2. Let w = c - -1. Suppose 4*u - w*i = 33, 4*u + i - 9 - 12 = 0. Solve 5*k - 18 = -4*b, -3*b + 2*k + 14 = u*k for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -261\/6068746 at most 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39 = -23*i - 131 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 23*w**2 - 10*w**2 + 2*w + 78*w**2 + (11 - 11 - 10*w)*(w - 3*w + 0*w) + w**2 + 0*w**2 + w**2 - 2*w - w**2 + 2*w.\nAnswer: 112*w**2 + 2*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 618*l**2 + 12167*l - 3860. Give p(-20).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -175 - -98. Let h = -56 - z. Let b = h + -34. Is -1 equal to b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (l**2 - 6*l - 9*l + 3*l)*(1 - 3 - 4*l + 5*l) as q*l**3 + i*l**2 + v*l + j and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -104109 + 147962. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, w: 1, x: 2, q: 1, t: 12}. Give prob of sequence qx.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4406 + -4409. Let r(h) be the first derivative of -2*h**2 - 4*h + 1. Determine r(d).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 21 and 738.\nAnswer: 5166","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -86*n + 279 - 279 + (n - 5*n + n)*(-1 + 5 - 3) to g*n + j and give g.\nAnswer: -89","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -15*r**3 - r**4 - 3*r + 0 + 2*r - 5 + 16*r**3 as c*r**3 + z + y*r + s*r**4 + g*r**2 and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 72 - 168. Let s = 4392807\/56 + -78445. Find the common denominator of (-10)\/4*84\/u and s.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 4066?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (4 - (5 + -16)) + (-18 - -16) + -104 + 1\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-121 - 140 - 220 + 611)*(3 - 6*a - 6 - 14).\nAnswer: -780*a - 2210","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 123 - 2*o**4 + 4 + 42*o**3 - 16 + 2*o + 6 - 43*o**3 as s*o**3 + r*o**2 + m*o + q*o**4 + x and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00382103194 to 3 decimal places.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 8*m - 2*j - 3892 = 0, 0 = -j + 4. List the prime factors of m.\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -911, -3828, -8599, -15224, -23703?\nAnswer: -34036","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 16677 and 381?\nAnswer: 2117979","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - (5 - 3) - -2) + 5?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 135*j - 65*j - 58*j - 70*j as k*j + a and give k.\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b + 30 = 5*d, -b + 8 = 2*d + 5 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 3*y**3 + 21*y**2 + 6. Let c be x(-7). Calculate the common denominator of 374\/(-154) - (c - (-2)\/(-1)) and -29\/50.\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the third derivative of -g**6\/120 + g**5\/15 + g**4\/6 + 7*g**3\/6 + 9*g**2. Determine h(5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 7*60\/84*4\/20*1. Let w = -7 + 2. What is the nearest to -0.2 in w, d, -1.7?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.09 - -19.91. Let d = u - 18. Let i = 0.4 - -0.1. Which is the closest to d? (a) i (b) 1 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - (-3 + 1) - (16 + -1 + -1).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p**2 + 4*p. Let l be t(-5). Let s(o) = -o + l + 12 - 4. Let v be s(9). What is the second biggest value in -2, v, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -87, -64, -13, 78, 221, 428?\nAnswer: 711","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 4*11\/418 - (3090\/(-2622))\/(-5)\nAnswer: -3\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000036594 rounded to 6 decimal places?\nAnswer: -0.000037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 44975?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the first derivative of n**4\/4 + n**3\/3 + n**2\/2 - 9*n + 6. Let l = -7 + 7. Determine j(l).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 228 and 760.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 34 and 68.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the first derivative of 2*b**6\/15 - 4*b**5\/5 - 60*b + 93. Let j(c) be the first derivative of m(c). Factor j(p).\nAnswer: 4*p**3*(p - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1517 + 2883. What is the hundreds digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6805 - -16120. Is p a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2536, 5101, 7656, 10195, 12712, 15201, 17656, 20071?\nAnswer: 22440","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 695 divided by -105141.\nAnswer: -695\/105141","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 19938031?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -27 - -27. Put 1\/3, -5, h in increasing order.\nAnswer: -5, h, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2385 = 60*r - 31*r - 28*r. List the prime factors of r.\nAnswer: 3, 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1451384534.\nAnswer: 2, 47, 15440261","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 4*s + 12 = -3*v, -s - 8 = 3*v. Let l be (-402)\/v*(-4)\/3. List the prime factors of -3 + 3 + (3 - l).\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*y + 16 - 37 = 0 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of -2 + (75\/(-10))\/((-12)\/16) and 3.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10567 is divided by 958?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -9 + 4 + 7 - 4*h**3 in the form b*h**2 + q + j*h**3 + w*h and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8213\/5 - 1643. Put 2\/1163, 4, p in ascending order.\nAnswer: p, 2\/1163, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -26692 divided by -4?\nAnswer: 6673","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -853017830, -853017829, -853017828, -853017827, -853017826, -853017825?\n\"Answer: v - 853017831","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 30982 - 216847\/7. Determine b so that z*b**3 - 6\/7*b**4 - 192\/7*b - 288\/7 + 54\/7*b**2 = 0.\nAnswer: -2, -3\/2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20718652 to the power of 1\/5, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 66*k**2. Let c(f) = -21*f**2. What is c(u(n))?\nAnswer: -91476*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 350*l + 340*l + 2*l**3 - 682*l in the form x*l**2 + z*l + k + g*l**3 and give z.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 253457 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 73939 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 197\/5702760 and -89\/314776.\nAnswer: 439112520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*r**3 - 170*r**2 + 1435*r.\nAnswer: -5*r*(r - 7)*(r + 41)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 27377121?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5b292 + 0?\nAnswer: 5b292","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.006834547 to 6 dps.\nAnswer: -0.006835","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 15137 - 51440914\nAnswer: -51425777","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4905 rounded to two dps?\nAnswer: 0.49","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -94, -126, -158, -190, -222?\n\"Answer: -32*a - 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3516875 divided by -2.\nAnswer: 3516875\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 199.4 - 444.1. Let l = -245 - h. Which is the second smallest value? (a) 0.2 (b) l (c) -2\/43\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 62*t + 2670. Determine d(-43).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 42392612?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -56 - -97. Let a = -38 + x. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*q = 740 - 512 for q.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r - 4*h - 48 = -44, -4*r + 2*h = 0 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -59\/22 and (2\/(40\/171))\/(63\/42).\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2419 + 2441. Solve 58 + 8 = -g*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 25511829, 51023660, 76535491, 102047322, 127559153?\n\"Answer: 25511831*o - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.83 * -437.\nAnswer: 799.71","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*b**2 + 0*b**2 - 5*b**2)*(-1 - 1 + 0) - 2*b**2 - 3*b + 3*b - 2*b**2 + 2*b**2 - b**2 + (-2*b + 3 - 3)*(b - 8*b + 2*b) as a*b + y*b**2 + n and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6810 = -3*q - 12*q. Calculate the remainder when q is divided by 24.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 182, -5\/3, -3\/5, -1, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 109989 is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -19*b + 2. Let y be w(-3). Suppose 0 = 5*s - y - 101. Let z = 36 - s. Solve 3*x - 2*d = 1, -3*x = -d - z*d + 2 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one tenth of a litre?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 3 - 27 = 0. What is the third derivative of 6 - s - 2*z**2 - 2*z**3 wrt z?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -40.7 - -38. Let j = -3.2 - r. Suppose -2*d - 12 = 5*g, 0 = -2*g + 4*g + d + 5. What is the closest to g in -6, -1\/8, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2063 (base 7) to base 4\nAnswer: 23123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51 = -5*a + 2*a. What are the prime factors of a?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 1 = -i - 0*k, -k - 17 = -5*i. Suppose 0 = i*p - 17 - 25. Let x = 64 + p. What is the units digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -4, -53, -134, -247, -392?\n\"Answer: -16*c**2 - c + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 2*j**2 + j. Let a be x(1). Suppose -q = -a*y + 1, 3*q - 1 = 4*y + 1. Suppose -q*f + 0 = 8, 380 = 5*b - 5*f. What is the units digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c\/c**5)\/c*c)\/(c*(c*c**3\/c)\/c*c))\/(c*c*c**(1\/5))**(-4\/27) assuming c is positive.\nAnswer: c**(-1036\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-312)\/18)\/4 + ((-12)\/(-3) - 3)?\nAnswer: -10\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*w**2 - 2 + 25*w - 7*w**4 - 34*w + 6*w**4 to the form j*w**4 + c*w**2 + y*w**3 + n*w + r and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve u - 47*z - 2 = u - 46*z, -11*u + 13*u + 44 = -z for u.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 273230?\nAnswer: 2, 5, 89, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -287543*l**3*q**2 + l**3 + 15*l**2*q**2 - 2*l**2*q - 38*l*q**2 - 6*q wrt l?\nAnswer: -1725258*q**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 59714 take away 7?\nAnswer: 59707","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 48\/971539 and -33\/2.\nAnswer: 1943078","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 127 * -172.\nAnswer: -21844","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3*q**2*w**2 + 209*q**2 - q*w**2 - 6*q + 20519*w**2 wrt q.\nAnswer: -6*q*w**2 + 418*q - w**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and 24\/42473 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 minutes before 7:25 AM?\nAnswer: 6:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -202 - -477. Let y = v + -266. Let d(b) = -b**2 + 8*b + 2. Calculate d(y).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11 (base 4) to base 16\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t\/(t*t**1))\/t)**(1\/3))**(-29)\/(((t**(-8)*t)\/(t\/(t*t**(1\/5))))\/(t**(-2\/5)*t**5)) assuming t is positive.\nAnswer: t**(461\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 291 minutes before 7:10 AM?\nAnswer: 2:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that -3*q**3 + 72933*q**2 + 5702463*q + 111287007 = 0.\nAnswer: -39, 24389","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t**2 - 27*t + 7. Let d be z(-27). Suppose 5*g - 2*s + 31 = 0, 2*g + d = -0*g - s. Let f(p) = -p**3 - 4*p**2 + 3*p - 4. Give f(g).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((k\/((k*k**(-1\/3))\/k)*k)\/k)**(-17)\/((k\/(k*k\/k**(-5)*k))\/k**(-8)))**16)**(-3\/17) assuming k is positive.\nAnswer: k**(1136\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 1284 = 78. Let c be k\/(-45) - (-2)\/(-5). What is the highest common divisor of 117 and c?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -30 + 26 + (-1 - (1 + -3)). Let g be d*6\/9 + 0. Let x be (-2240004)\/(-14) - g*(-4)\/28. What is x rounded to the nearest 10000?\nAnswer: 160000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*h + 0*t = 6*t - 46, 4*h - t + 11 = 0 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/(-3)*4\/16. Let b = -113.5 - -114. What is the second biggest value in b, x, -2\/9?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*m + 18*m + 18*m - 22*m.\nAnswer: 7*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 11 = r, 3*a - 25 = -0*r - r. Suppose a*y + 0*y - 63 = 0. What is the remainder when 2 - (-1 + (-2 - 28)) is divided by y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:40 AM and 11:19 PM?\nAnswer: 699","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that 2*b**3\/9 + 21524*b**2\/3 - 86104*b\/3 + 258320\/9 = 0.\nAnswer: -32290, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 269587805 to the nearest integer?\nAnswer: 646","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11241830 is divided by 125.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a century in decades?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(2\/9)\/y)**2*y**5*y**(5\/2) assuming y is positive.\nAnswer: y**(107\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1.6664 and -936?\nAnswer: 1559.7504","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 62060 to the nearest integer?\nAnswer: 249","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 35*w - 401. Give f(12).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand s**4 + 0*s**4 - 3*s**4 - 2*s**4 + 1 - 1 + (2 + 2 - 6)*(3*s**4 + 2*s**4 - 4*s**4) + 4873*s**3 + 4*s**4 - 5*s**4 - 4736*s**3.\nAnswer: -7*s**4 + 137*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i**3 - 5*i**2 + 13*i - 8. Let o be p(-7). Which is the nearest to 1\/2? (a) 0 (b) o (c) -23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8 + 12. Let d be i\/((-8)\/(-4)) + -2. What is the smallest value in d, -0.3, -0.08?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.02 and 29.91.\nAnswer: -0.5982","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the first derivative of w**6\/120 + w**5\/12 + w**4\/8 + w**3\/6 - 15*w**2 - 24. Let g(r) be the second derivative of j(r). Determine g(-3).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -2*j + 5. Let n(r) = -r**3 + 48*r**2 + r - 43. Let t be n(48). Let b(o) = 1. Calculate t*b(d) - u(d).\nAnswer: 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 61\/450 and 86\/1365?\nAnswer: 40950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 39512 divided by 88.\nAnswer: 449","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:09 PM and 11:16 PM?\nAnswer: 367","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27162?\nAnswer: 2, 3, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2709 to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3695023*m**3 + 5384*m + 401 wrt m?\nAnswer: -22170138*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in twenty-seven quarters of a centimeter?\nAnswer: 67500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1004242410 - 0?\nAnswer: 1004242410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 16 and 944?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v*v**(-2\/27))\/(v*v**(-8))*v**0\/v**(-2\/35))**(-2\/33))**(6\/31) assuming v is positive.\nAnswer: v**(-30176\/322245)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the first derivative of 4592*o**5\/5 + 525*o**2 - 1030. What is the second derivative of u(b) wrt b?\nAnswer: 55104*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9114*o - 6852 - 386726 = 3890 + 76460 for o.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(12)\/(sqrt(484) + sqrt(484)*2) + sqrt(6)\/(sqrt(2)*3*-3) + 2 + -4.\nAnswer: -2 - 8*sqrt(3)\/99","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v**2 - 2929376*v - 1072655468672 = 0.\nAnswer: -732344","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -86*u - 203. What is the lowest common multiple of y(-7) and 114?\nAnswer: 798","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*k**2\/19 + 944*k\/19.\nAnswer: -2*k*(k - 472)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 30184 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1139 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 21*q**2 + 5*q - 4. Let k(b) = -20*b**2 - 4*b + 3. Let n(t) = -5*k(t) - 4*w(t). What is the units digit of n(-1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 133764500?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + n - 3 = -5*y, -2*y - 4 = -3*n. Suppose 2*i - 316 = -n*i. What are the prime factors of i?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 94 - 116. Let x(w) = 715*w**3 + 29*w**2 + 35*w + 54. Let l be x(i). What is l rounded to the nearest 1000000?\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/(-5))\/(-2)*(-36)\/(-54)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 1887.63628 to 0 dps.\nAnswer: 1888","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g + 2*v + 48 = 29, -3*g = 4*v + 51 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*b + 12 = 10*b. Suppose b*d + 2*d - 56 = 3*a, 10 = 2*d + 5*a. What is the smallest common multiple of d and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of h**3*t**2 + 31*h**3*t + 50*h**3 - h**2*t + 1484*h**2 - 2*h*t**2 - t**2 wrt h?\nAnswer: 6*t**2 + 186*t + 300","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-5)*g**(10\/3)\/g assuming g is positive.\nAnswer: g**(-8\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 52\/5 of a litre in millilitres?\nAnswer: 10400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the third derivative of f**5\/30 + 3*f**4\/8 - 11*f**3\/6 - 15*f**2. What is the remainder when v(7) is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 6*k**2 + 2*k - 2. Suppose -78 = -4*f + 2*z, 0 = -3*f + 4*z - 16 + 67. Let v = 31 - f. What is the remainder when h(-2) is divided by v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.02 - -0.03. Let u = b + -0.14. Let o = -0.22 - u. Round o to one decimal place.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mccm when four letters picked without replacement from cmmmmcmmmmcmmmcmcm?\nAnswer: 13\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 172667337 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m = -0*m - 25 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*f**3 - 42471564*f**2.\nAnswer: 4*f**2*(f - 10617891)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 55661682?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 243, 3, 3\/43, -1\/8?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:39 PM and 12:53 AM?\nAnswer: 254","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = -w - 45, -4*w + 9*w + 4*r = -162. Let z(n) = -n**2 + 47*n + 36. Let s be z(50). Let y = w - s. What is the units digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 93638, 374573, 842800, 1498313, 2341106, 3371173, 4588508, 5993105?\n\"Answer: -t**3 + 93652*t**2 - 14*t + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3\/44 (b) 3 (c) -2 (d) -1\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 43468439?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, e: 2, x: 2}. Give prob of picking 2 x and 1 e.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -109*r - 15 = -113*r + p, 0 = -4*r + 3*p + 13 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c, 1 p, and 1 m when four letters picked without replacement from cmcjjpjccjcjjj?\nAnswer: 10\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -97\/1957954 and -9\/323978.\nAnswer: 45032942","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j*j\/(j\/(j\/(j\/(j\/(j**0*j))*j))))**4\/((j\/(((j**0*j)\/j*j)\/j))\/j*j)**(-1\/24))**(2\/3) assuming j is positive.\nAnswer: j**(97\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 2*n**2 + 7*n + 4. Let f be r(-4). Suppose -u + f = -0*u. Suppose -39 - 17 = -4*g. Calculate the smallest common multiple of g and u.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 60*d**3*f**3 + 1687777*d**2*j**2 - f**3*j**2 - 45*f**3*j - f**2 - 1293*f*j**2 + 11*j wrt d?\nAnswer: 180*d**2*f**3 + 3375554*d*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1933 + -172039\/89. Let h = q + 93\/178. Solve -5\/6*c**2 + 1\/6*c**3 + 7\/6*c - h = 0.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1943129949792 - -0.12.\nAnswer: -1943129949791.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -12*s**2 - 3. Let r be l(3). Let d = 37 + r. Is -2 + (d + 1)\/(-1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 17, 0.5, 0, -2\/15 in ascending order.\nAnswer: -2\/15, 0, 0.5, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 17 = -5. Let c = -1.5 - -0.9. What is the closest to -1 in t, c, 1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -3*p + 6*p - 4 + p. Let k(t) = -11*t + 11. Let a = -2 + -1. Let o = 0 + a. Determine o*k(c) - 8*q(c).\nAnswer: c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 11637 to the nearest 100.\nAnswer: 11600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*x**4 + 137*x**3 - 17*x**2 + 26524*x.\nAnswer: 36*x**2 + 822*x - 34","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 2 - v**3 - 4*v**2 - 2 - 2*v + 2. Suppose -1 = -2*u - 3*f, 0*f = 4*u - 2*f - 10. Suppose s - 8 = 4*m, -u*m + 4*s = -s - 14. Give h(m).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*q = -493 + 580. Solve -4*w = -3*k + 22, 3*w = q*k - 3 - 15 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 17, n: 1}. Give prob of picking 1 k and 1 n.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z = -4*z - 2*y - 158, 4*z = -y - 163. Let v be -8 + (5 - -1) + 6 + -162. What is the remainder when 16 is divided by 12\/z + v\/(-14)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (17666 - 17666 - 302*j)*((8 + 1 - 3)*(j**2 - 2*j**2 + 3*j**2) - j**2 + j**2 + 2*j**2).\nAnswer: -4228*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3946*l**3*p*x**3 + 30*l**3*p + 3*l**3*x**3 - 9*l**2*p*x**2 - 13*l**2*p + 94*l*p*x**3 + 2*p wrt l?\nAnswer: 23676*p*x**3 + 180*p + 18*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.5 and -1545.71.\nAnswer: -1545.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 688 - 688 + 67*k**2 + (-k + 2*k + k)*(k + k - k)*(4 + 2 - 4)*(0 - 1 + 0).\nAnswer: 63*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t + 5*s + 404 = 456, -31 = -4*s + 1 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3046746.\nAnswer: 2, 3, 617, 823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(2\/7)*n)**(-7) assuming n is positive.\nAnswer: n**(-9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -6513 (base 7) in base 6?\nAnswer: -14413","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6696*m + 0 + 3336*m + 3350*m + 0.\nAnswer: -10*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is c + -de?\nAnswer: -d2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 3*d = 37, -2*d = -p - 0*d + 20. Suppose 0 = 2*w - 24 + p. Let l = -33 - -37. Solve 0 = 5*h + l*q - 25, h + 20 = -4*h + w*q for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5.5 + 5.5. Let i = -1.4 - 0.6. Sort 2\/9, i, y in descending order.\nAnswer: 2\/9, y, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 185866204?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the second derivative of -23*q**7\/42 + q**5\/20 + q**4\/4 + 23*q**3\/2 + 524*q. What is the third derivative of g(z) wrt z?\nAnswer: -1380*z**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -186*w + 424 = -133*w for w.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n**2 + 1. Let x(h) = -151*h**2 - 2*h + 5. Let f(g) = 3*s(g) - x(g). Does 22 divide f(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18232097?\nAnswer: 13, 29, 137, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 4*a**3 - a**2 + 2*a - 1. Calculate z(1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + b - 24 = 0. Suppose -3*u - 4*g = 10, 4*g = 4*u - 13 - 11. Suppose -p - u = -b. What are the prime factors of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -2.6701 from -368.\nAnswer: -365.3299","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -7*u + 14. Let h(g) = 6*g - 16. Let m(w) = -5*h(w) - 4*y(w). Let l be m(10). Solve 5*x = -s - 2, -x = -s - 0 + l for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j**5 + 39362*j**4 + 417701*j**3 + 772762*j**2 - 1797396*j + 567576 = 0 for j.\nAnswer: -6, 2\/5, 1, 7883","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the second derivative of 308*h**5\/5 + 100*h**3 - 1060*h + 2. Find the second derivative of w(j) wrt j.\nAnswer: 7392*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*sqrt(8)\/sqrt(64).\nAnswer: -sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15806?\nAnswer: 2, 7, 1129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/23 (b) 3 (c) 0.02776\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 16, 62, 120, 184, 248, 306, 352?\n\"Answer: -t**3 + 12*t**2 + 17*t - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -266*u**3 + 7*u**2 - 7. Let w(x) = -89*x**3 + 2*x**2 - 2. Give 2*p(l) - 7*w(l).\nAnswer: 91*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.05 - 0.05. Let i = 17 + -13. Let u = i + c. Sort u, -2\/11, -2\/9 in descending order.\nAnswer: u, -2\/11, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 2 + 4*c**3 + 0.\nAnswer: 4*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -78166, -156078, -233992, -311908, -389826, -467746, -545668?\nAnswer: -623592","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*y + 2*y - d - 6, 4*d - 21 = 5*y. Let x = -23 - -24. Let l = 5.3 + -5. Which is the second smallest value? (a) l (b) y (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1690586 is divided by 16?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 383, 414, 445, 476, 507, 538?\nAnswer: 569","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 0 + 2 = 0. Let i = 11 - 13. Let b be ((-5)\/i - 2)*q. Is -1\/4 at least as big as b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/10)\/(22\/66)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*v = -4*c + 8*v + 100, c = 4*v + 20. Find the third derivative of 2*t**5 - 26*t**2 + c*t**2 + 8 + 11 + 55*t**6 wrt t.\nAnswer: 6600*t**3 + 120*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 8\/24 - (-14)\/3. Let t be (-29)\/(-9) - 2\/9. Which is smaller: l or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b**(3\/7)\/b)\/b)\/b*b**(2\/29))\/(b**(-1\/5))**22*(b**(-6)*b\/(b\/(b**(1\/17)\/b)))**(-2\/13) assuming b is positive.\nAnswer: b**(665186\/224315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the first derivative of -j + 1\/4*j**4 - 2 - 2*j**3 - 1\/2*j**2. Suppose 108*u + 78*u - 1002 = 19*u. Calculate m(u).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4531569 to the nearest integer?\nAnswer: 2129","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -37973\/10148 - -375\/118. What is the common denominator of 23 and z?\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5 - -122 - (3 - 2) - 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2975147?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1754132?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -3*q**3 - 125*q**2 - 87*q + 59. Calculate the lowest common multiple of x(-41) and 264.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 82.4 - 90. Let g = -6 - z. Let m = g - 2. What is the nearest to 2 in 1, m, 0.5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 536, 507, 478, 449, 420, 391?\n\"Answer: -29*b + 565","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 84333?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62*k + 48*k - 42 = 0. Let g be (k\/(-9))\/((-13)\/(-117)). Determine u, given that -16*u**4 + 0*u + 0 + 0*u**2 + 20\/3*u**5 + 16\/3*u**g = 0.\nAnswer: 0, 2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 128724, 514926, 1158594, 2059728, 3218328, 4634394, 6307926?\n\"Answer: 128733*k**2 + 3*k - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 5490.7303 to the nearest 1000.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:22 PM and 12:19 AM?\nAnswer: 597","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 63 = 15. Let x be 6\/(-5)*30\/p. Solve x*z - 30 = -4*n + n, -4*n = -4*z for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u + 10. Let r(t) = t - 11. Let d(w) = 5*i(w) + 4*r(w). Let g be d(-5). Solve -2*q - 3*p = -8, p + 1 = 3*q - g for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 104*u**3 - 7*u + 7*u + 63*u**3.\nAnswer: 167*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 71 - 111 = -8*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 151793?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -331 + 2467792*n**2 + 699 - 2467791*n**2 - 368.\nAnswer: n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*l + 2*l - 3*l)*(0 + l**2 + 0) + 59*l**3 - 5*l**3 + 24*l**3.\nAnswer: 79*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1223190 and 1521.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-22 + 36 - -37) + -36?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.11030702 - 0.1.\nAnswer: 0.01030702","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 4*a**2 + 35*a + 45. Let y be p(-7). Put -2, 4, y, -16 in increasing order.\nAnswer: -16, y, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 30*y**2 + 986*y - 133. Determine u(-33).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d - 154*s - 1592 = 247*s, 3*d = 5*s - 8 + 37 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 346?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 2*y**2. Suppose -i + 5 = 3*s - 2*i, -3*s - 2*i + 17 = 0. Let c(z) be the second derivative of -z + 0 - 1\/2*z**s + 0*z**2. Give t(c(x)).\nAnswer: 18*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 74 a factor of 85547277?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 321312 divided by 32\nAnswer: 10041","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*r**4 + r**4 + r**4 - 3*r**3 - r**2 to the form i*r**4 + c*r**2 + f + o*r**3 + v*r and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42 = -15*h + 2*l + 188, -4*l + 38 = 3*h for h.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 99200175.\nAnswer: 3, 5, 1322669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 37\/((3\/1)\/3). Suppose -k = -3*u - 4. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 464310.3 to the nearest 1000.\nAnswer: 464000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 3 - 1)*(176 - 31 - 102)*(-16*j - 31*j + 29*j) in the form f*j + n and give f.\nAnswer: 1548","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5 + -8. Let w = p - -2. Let f = -161 + 161.2. Sort 3, f, w.\nAnswer: w, f, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4 and 32520988?\nAnswer: 32520988","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bub when three letters picked without replacement from bbbbbubbubbb?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -4*j**3 - 104*j**2 - 14*j + 32. What are the prime factors of k(-30)?\nAnswer: 2, 47, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/9? (a) 17 (b) -5 (c) -18\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 77 * -1\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (1 - 70) + 12 + (-19 - -11) - 8\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-5)\/32)\/(243\/(-2592)))\/(-7)?\nAnswer: -5\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-6)\/4 - 2301\/26. Let l be (3\/((-45)\/(-12)))\/((-12)\/x). Find the third derivative of 2*c - 14*c**l + 3*c - 13*c**6 - c**2 + 3*c**2 wrt c.\nAnswer: -3240*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*w**5\/5 + 688*w**4\/5 - 48898*w**3\/5 + 398876*w**2\/5 - 172920*w + 513936\/5 = 0. Calculate w.\nAnswer: 1, 2, 6, 86, 249","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -11088345*k**2 - 600118*k - 70.\nAnswer: -22176690","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = s - 9 + 7. Let q = 39 + -31. Factor 5*j**s - 8 + 14*j - 2*j - j**2 - q.\nAnswer: 4*(j - 1)*(j + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -25 + 25. Let c be (-28)\/(-6) + 9\/27. Solve b = -d + c for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 0.3, -5, -2.6?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 130 a factor of 2470?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.325 times 0.35?\nAnswer: 0.11375","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1, -18, -53, -112, -201?\nAnswer: -326","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -13\/4 and 35\/14102174.\nAnswer: 28204348","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g**2 + 6*g - 4. Let c(l) = -l**3 + l**2 + 3*l + 2. Let i be c(3). Let n be o(i). Solve 0 = 3*p - 4*q - 7, -3*p + 0*p + n*q + 3 = 0 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -212232 + -123312?\nAnswer: -1002210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 less than -270673778?\nAnswer: -270673795","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -80 by -4.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 44 - 18)*((2*y - y - 2*y)*(-2 - 1 + 0) + 4 - 3 - 2*y + 1).\nAnswer: 25*y + 50","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -152*j + 187 = -135*j. Solve 7 = -4*f + j for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + sqrt(1300) + -2)*4*-5)**2.\nAnswer: 520000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 158827 and 13422.\nAnswer: 952962","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -25 - -137. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -212100 (base 5) in base 6?\nAnswer: -53034","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 573 - 606. Let s(u) = -7*u**3 - 2. Let h(v) = -111*v**3 - 33. Let c be (-72)\/(-27) + (-2)\/3. Determine c*h(f) + y*s(f).\nAnswer: 9*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -18*k + 17*k + 566. Suppose -25*u + k = -284. Calculate the remainder when 158 is divided by u.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 10423 - 10378. What is the greatest common divisor of x and 1665?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10031120 (base 4) to base 10.\nAnswer: -17240","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that -314\/3*s**2 + 12166\/3*s + 12482\/3 + 2\/3*s**3 = 0.\nAnswer: -1, 79","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zjj when three letters picked without replacement from jjjjjzjjjzzjjzzj?\nAnswer: 55\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(-2)*1*2\/(-3)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3 + 5. Let f(p) = 4*p - 10. Let q be f(8). What is the greatest common divisor of v and q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14259 is divided by 66?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*g = -9*g + 108. Let v(z) be the third derivative of -z**4\/24 - 2*z**3\/3 + z**2. Determine v(g).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 1, 339386, 10, -5 in increasing order.\nAnswer: -5, 1, 2, 10, 339386","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -348, 0 in descending order.\nAnswer: 1, 0, -348","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1901 is divided by 281.\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16708739.\nAnswer: 17, 982867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 9160.941 from 0.2.\nAnswer: -9160.741","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*g + n - 30, 3*g - 1023*n + 1021*n = -47 for g.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - (1 + 3)) + 12 + 1?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 21917 * 0.4\nAnswer: 8766.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -12 + -3. Let c = -7 - x. Let t be ((10 - 13) + 3)*-1. Solve m + m - c = t for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1014 or 1961?\nAnswer: 1961","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -77*h**2 + 48. Let b(a) = 2*a**2. Determine m(b(d)).\nAnswer: -308*d**4 + 48","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*q**2 - 80*q - 1680 = 0. Calculate q.\nAnswer: -12, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2232646 is divided by 4074?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 94 is divided by 39?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1700) + (sqrt(1700)*-2 - sqrt(1700)) + 5 - (-2 + sqrt(1700) + sqrt(1700)*-2 + sqrt(1700)))**2 + (-4*1*sqrt(1700))**2 + 2 + 4)*2.\nAnswer: -560*sqrt(17) + 68110","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -97 + 117. Calculate the remainder when 218 is divided by c.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x**4 - 6*x**2 + 16*x + 6. Let k(w) = 3*w**4 - 13*w**2 + 32*w + 13. Let j(a) = -6*k(a) + 13*r(a). What is the second derivative of j(d) wrt d?\nAnswer: -60*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1714876.\nAnswer: 2, 37, 11587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -20 + -30 + 66 + 0 + -5.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3 + 5. Let y be (l\/(-3))\/(-1)*3. Let f(t) = -t - 2. Let z be f(-4). Solve z*v - s = s, -s = y*v - 12 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 87 = 3*g - a + 4*a, a + 19 = g. Suppose 0 = -g*d + 27*d - 9. Solve u - 3*u - 2 = -d*t, t + 4*u + 18 = 0 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the third derivative of -i**8\/672 - i**7\/420 + i**6\/240 + i**5\/120 - 216*i**2. Solve c(d) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -i + 117 + 400. Let c = 732 - i. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1009 - 516. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100 + -1000100001?\nAnswer: -1000011101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -22*x**3 + 4*x**3 - 30 + 10*x + 17 + 12 - 7*x as m*x**2 + i + d*x + y*x**3 and give d.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the first derivative of v**2\/2 + v - 3. Let n(r) = -7*r - 6. Let y(f) = -6*h(f) - n(f). Let j(b) = -2*b. What is y(j(l))?\nAnswer: -2*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 52*x + 2450. Calculate j(-46).\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 572a2 (base 14) to base 4\nAnswer: 303231232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -75\/4 and 69\/214.\nAnswer: 428","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i**2 + 4*i. Let c be n(4). Let o = c - 0. Suppose -1 = 8*b - 33. Solve 2*d + o - 3 = -3*p, -4 = -b*p for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -319431 divided by 861.\nAnswer: -371","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1545 - 1540. Calculate the remainder when 86 is divided by x.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7834216 millennia to years.\nAnswer: 783.4216","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 42 and 65982.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = -8 - 7. Suppose -i*d - 4 = 2*d + 2*o, 3*o + 6 = d. Let c(m) = m**3 + 9*m**2 + 8*m + 3. Let r be c(-8). Solve d = 2*u - 13 + r for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -181\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*i**3\/4 - 543*i**2\/4 + 135*i.\nAnswer: 3*i*(i - 180)*(i - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that -w**2 + 285433*w - 25110360 = 0.\nAnswer: 88, 285345","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (j**3 - 3*j + 3*j)*(-25*j - 27*j + 0*j) + 151*j**4 - 62*j**4 + 17*j**4.\nAnswer: 54*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -4*f + 1. Let d(t) = 5*t + 75. Let w(o) = d(o) + 5*s(o). Let c be w(5). Solve -5*a - 2*v + 4 = -8*a, -c*v = 5 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7571217583 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/3, 2, -0.54?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 11337598847 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 3*q - 2*q + 12 = 0, -q = l. Solve k + l*b = 0, 2*k - 3*b - 8 = -b for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 - 4*r**2 - 2747*r + 1381*r - 4*r**4 + 1368*r to g + c*r**4 + w*r + j*r**2 + h*r**3 and give g.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/117 > 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkkkkkksskrbkrkk. What is prob of picking 2 r?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 338 is divided by 19?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 t when two letters picked without replacement from mtsssstssttmt?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 848 = 2*x - 6*x, 856 = 4*x - 2*k. What is the greatest common divisor of x and 56?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 21 and 3279?\nAnswer: 22953","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 7, s: 1, i: 12}. What is prob of picking 1 q and 1 s?\nAnswer: 7\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 4654*x + 358. Let u(g) = -7*g - 1. Let z(t) = 358*u(t) + y(t). Let j(p) = p. What is z(j(o))?\nAnswer: 2148*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 2*s**4 + 16*s**3 - 52*s**2 - 62*s + 2. Let j(v) = v**4 + 18*v**3 - 52*v**2 - 63*v + 3. Let z(y) = 2*j(y) - 3*q(y). Determine l so that z(l) = 0.\nAnswer: -5, -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 19841307 and 29.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -90*p + 4622*p**3 - 14*p**2 + 26*p + 33*p + 32*p.\nAnswer: 4622*p**3 - 14*p**2 + p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z**3 - 14*z**2 - 12*z + 4. Give n(14).\nAnswer: -164","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of (0 - 446\/(-3)) + (-2)\/(-15)*10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3052 (base 9) to base 15.\nAnswer: 9de","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1b + 9?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 2*w**3 + w**2 + 4*w + 1. Calculate i(5).\nAnswer: 296","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 589728679?\nAnswer: 499, 907, 1303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:47 AM and 7:22 AM?\nAnswer: 335","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 13 = -s, 5*w - 3 - 17 = 0. Suppose -2*c + 21 - 11 = 0. Calculate the remainder when c is divided by s.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:14 AM and 1:26 PM?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the second derivative of -31\/6*a**3 + 0*a**2 + 8*a + 0 + 0*a**4 - 17\/15*a**6 + 0*a**5. What is the second derivative of z(v) wrt v?\nAnswer: -408*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2.5455 (b) -35 (c) 2 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -149 - -163. Suppose -k*d + 17*d = 3. Let c = 9.4 + -11.4. Which is smaller: c or d?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*w - k = -4*w, -5*k - 27 = -2*w. Suppose -c + 5*n + 23 = 0, n = -4*c - 0*n + 8. Suppose j = c*q - w, -5*q + j = -j - 2. Round q to 1 dp.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2590, -5077, -7564, -10051, -12538, -15025?\nAnswer: -17512","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.061 and -41?\nAnswer: -2.501","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -117*m - 156. Let r(d) = -15*d - 22. Let t(b) = -15*r(b) + 2*w(b). Determine t(5).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -4*r - 2. Let h(n) = 5*n - 3 + 0 + 5. Let l(t) = t**2 + 2*t. Let x be l(-2). Suppose 4*j + 11 - 27 = x. Give j*b(s) + 3*h(s).\nAnswer: -s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 331450 a multiple of 50?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -9 + 3 - (-2 - (-1 - -3))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 41314334 + -13?\nAnswer: 41314321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Are -582 and -589 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(-3 + (sqrt(405) - 2*sqrt(405)) + sqrt(405) + 2*sqrt(405)*-4 + -4*sqrt(405)*-1*-5))**2 + -1.\nAnswer: 1512*sqrt(5) + 317528","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*f**2 + 5*f - 5*f)*(5 - 4 + 0).\nAnswer: 7*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the third derivative of k**5\/30 + 5*k**4\/3 - 341*k**3\/3 - 130*k**2 + k - 2. Determine i, given that l(i) = 0.\nAnswer: -31, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, q: 1, b: 1, a: 2}. Give prob of sequence aw.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**6*v)\/(v\/v**(-9))*(v**(2\/7))**(-10\/9) assuming v is positive.\nAnswer: v**(-209\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 847 and 252?\nAnswer: 30492","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 - -4 - -3 - -4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 2499, 2500, 2501?\n\"Answer: w + 2498","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7 - -63. Does 14 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-35)\/273)\/(-2 - (-19 - -22))*-2.\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -w + 9. Let x be u(8). Let m be (x + -11)*10\/(-25). Suppose 3*b = -m*a + 15, b + 2 = 3. What is the second biggest value in -2\/3, a, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 240500 - -264?\nAnswer: 241064","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (9*t**2 - 25 + 25)*(-86 + 40 + 4*t + 38) to w*t**3 + o + c*t**2 + z*t and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 10 = f, -3*f - 5 = 2*t - 35. Solve m - f*s + 7 = -7*s, -2*m + s = -6 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 19*b**2 + 961*b - 18. Let a(y) = -9*y**2 - 481*y + 8. Let j(v) = 9*a(v) + 4*t(v). Let j(l) = 0. What is l?\nAnswer: -97, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -543021 + 4650?\nAnswer: -535041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 344 is divided by 48?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -10 - (1 + -15 + 4)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28*0.25.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4)\/46 + (-7832)\/(-1196). Which is smaller: s or 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o*o**(2\/5)\/o*o)\/o)\/(o\/((o\/(o*o*o\/((o*((o\/o**10)\/o*o)\/o*o)\/o)))\/o)))**(12\/19)*(o**2\/o)**50*(o\/o**1)**39 assuming o is positive.\nAnswer: o**(3994\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25484 = 3*x + z - 25487, -4*x - 3 = -z for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:10 AM and 9:36 AM?\nAnswer: 446","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the third derivative of 2*p**7\/105 - 4*p**6\/15 + 2*p**5\/15 + 16*p**4\/3 + 14*p**3 + 541*p**2. Factor v(f).\nAnswer: 4*(f - 7)*(f - 3)*(f + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -966117 + 966075.000064. Let f = t + 42. What is f rounded to 5 dps?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -72491, -71991, -71491, -70991, -70491?\nAnswer: -69991","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 30133 - -320?\nAnswer: 31113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the first derivative of 2*j**2 - 7*j - 13. Let d be t(2). Let q be 2 - ((d - 6) + 4). Solve c + q*s = 1, 0*s - s + 1 = 0 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**0\/c)\/c**5)\/(c**4\/(c\/(c**(-4\/7)*c)*c)) assuming c is positive.\nAnswer: c**(-59\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 17509079?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the third derivative of -10*f**4\/3 - f**3 + 2*f**2 + f. What is the tens digit of y(-1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i**2 - 13540*i + 13535 = 0.\nAnswer: 1, 2707","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the third derivative of -b**7\/2520 + b**6\/144 - b**5\/120 - b**4\/4 - b**2. Let v(g) be the second derivative of a(g). Determine v(6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -70, 11, 4, 19, -83, 6.\nAnswer: -83, -70, 4, 6, 11, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 10*c**2 - 10*c. Let x(m) = -8*m**2 + 11*m. Calculate 6*w(b) + 5*x(b).\nAnswer: 20*b**2 - 5*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 5 = 2*v - 2*r, 2*v - 4*r = 2. Suppose 5 = -5*z, 0 = -o - 0*o - v*z + 20. Suppose q - 39 = o. Does 14 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*g**2 + 2*g**2 - 8*g**2 + 3*g**2 + 7*g**2.\nAnswer: 9*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1347033*z + z**3 + 0 + 0 - 1347033*z + 29*z**2.\nAnswer: z**3 + 29*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the third derivative of u**4\/6 - 5*u**3\/6 - 626*u**2. Suppose -5*s + 15 = -2*z - 8, 0 = 3*z - 5*s + 27. Give q(z).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 16.9 + -20. Let f = n - -4. Let g = f + -1. What is the nearest to g in -2\/5, -3, 1?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 52825611 to the nearest integer?\nAnswer: 7268","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2881699 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the third derivative of -l**4\/24 + 4*l**3\/3 + 4*l**2. Let b be c(5). Let j(u) = 2*u**2 + 19*u - 18. Let n be j(-11). Solve -b*p = -0*p + n for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 252 - 253. Let x = -0.04 - 2.16. Let h = -1.7 - x. What is the nearest to 1 in n, -1\/7, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 69 + -37. What is the greatest common factor of 4 and o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the second derivative of -b**4\/12 + b. Let h(u) = 6*u**2 + 13*u + 13. Let t(i) = -i**2 - 3*i - 3. Let a(q) = 6*h(q) + 26*t(q). Calculate a(k(z)).\nAnswer: 10*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -6747366767 to the nearest 1000000.\nAnswer: -6747000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 68202 to the power of 1\/2, to the nearest integer?\nAnswer: 261","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2267884*x**2 + 7*x - 139236.\nAnswer: 4535768","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(((-11320)\/566)\/(10\/(-8)))\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 14807*j**2 - 60151*j + 1?\nAnswer: 29614","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -60*o**2. Let v(a) = 22*a**2 - 5*a. Let y(q) = 39*q**2 - 9*q. Let m(x) = -9*v(x) + 5*y(x). Give j(m(k)).\nAnswer: -540*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -320 by -16.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11 + 1010101?\nAnswer: 1011000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -2070, -3611, -5152, -6693, -8234, -9775?\n\"Answer: -1541*t - 529","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 3*x = 3*m - 316, 3*x = 12. Let n = 5653\/69 - m. Let z = -61\/207 - n. Which is smaller: -3 or z?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(a**(1\/3)*a*a))**(1\/10)*(a*((a\/(a**(-2\/3)*a))\/a)\/a)**9)**36 assuming a is positive.\nAnswer: a**(-564\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -103 (base 9) to base 10\nAnswer: -84","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 178850042 is divided by 1762?\nAnswer: 1756","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 98 minutes before 5:43 AM?\nAnswer: 4:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2b2772b5 - 1?\nAnswer: 2b2772b4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 minutes before 3:42 PM?\nAnswer: 3:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**14\/t*t**(2\/33)*(t\/t**(1\/3))\/t*t*t**(-16)*t assuming t is positive.\nAnswer: t**(-14\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3785\/16 + -467\/2. Suppose 4*q - 2*f - 250 = 0, -86 + 25 = -q + 2*f. Find the common denominator of 1*(q\/(-4) + 1) and b.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 2221*l + 39920. Give n(-18).\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*j + 2, u + 3*j = -3*u + 5. Suppose -u + 37 = 5*m + 5*x, 4*x - 7 = 3*m. Suppose 0 = h - 0*h - m. Solve 0 = -5*g - 12 - h for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g**2 - 9*g - 10. Suppose 0 = 3*i - 7 + 28. Calculate r(i).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -410 = -404?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7500325\/66 + 340912\/3. What is the common denominator of q and ((-17)\/57)\/(4\/6)?\nAnswer: 418","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*w - 24*w + 4*j - 53 + 107, 6*j = -4*w + 2*j - 8 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 19*o**2 + 18*o. Let h(l) = 10*l**2 + 9*l. Let t(f) = 7*h(f) - 3*x(f). What is the second derivative of t(s) wrt s?\nAnswer: 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -149*y**2 - 137*y**2 + 408*y**2 - 136*y**2.\nAnswer: -14*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*d**2 - 19026 + 6805 - 4*d**2.\nAnswer: -2*d**2 - 12221","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -6*47\/((-893)\/76)\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 6 - 1)*(3 - 3*t - 3).\nAnswer: -9*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (6\/20)\/((-2)\/4). Let m be 8\/(16\/(-7))*4920\/(-98). Let h = m + -176. Sort y, -0.1, h.\nAnswer: y, h, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 132672 to the nearest integer?\nAnswer: 364","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -16*q**2 + 15*q + 3. Let o(z) = -47*z**2 + 43*z + 9. Let y(x) = 17*c(x) - 6*o(x). Let h(u) = -11*u**2 + 2*u + 2. Determine -3*h(i) - 2*y(i).\nAnswer: 13*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -1fb81 (base 16) in base 15?\nAnswer: -28766","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 288 divided by -36.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1614*j - 54669 - 27645 = 0 for j.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f**2 + 34*f + 9. What is the least common multiple of a(-34) and (2\/4)\/((-2)\/(-8))?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0013362 rounded to 4 decimal places?\nAnswer: -0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**2*a**(-3\/5))**(-1\/40) assuming a is positive.\nAnswer: a**(-7\/200)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2961.\nAnswer: 3, 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4633.477 centuries to months.\nAnswer: 5560172.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 27 - -1. Is 14 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.007299290356 rounded to 3 decimal places?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5858892250757 - -44.\nAnswer: -5858892250713","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 8327100 a multiple of 81?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -47082*j**3*z**2 - 2576*j**3 + 3*j**2*z**2 + j**2*z - 14*j**2 + 614*z**2 wrt j?\nAnswer: -282492*z**2 - 15456","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9, 2, -17, -54, -115, -206?\nAnswer: -333","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1510 and 60?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*x**2 - 42*x**2 - 21*x**2 - 9*x**2 - x**2.\nAnswer: -75*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 6969741 to the power of 1\/4, to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 35162634853 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**1)**(1\/40)*(d**0)**12)**(2\/27) assuming d is positive.\nAnswer: d**(1\/540)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wrw when three letters picked without replacement from zbrwwbzbjjqjjb?\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 13 - 5. Let q be (t\/10)\/((-2)\/(-15)). Let l = -4 + q. Is 2 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 408 minutes before 8:57 AM?\nAnswer: 2:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.079588544 to two decimal places.\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*n**2 - 667640*n + 22287158480.\nAnswer: 5*(n - 66764)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = -v + 65. Suppose v = 3*x + 4*l, 0*x + 3*l - 9 = -3*x. Put 0, x, -5 in descending order.\nAnswer: 0, x, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (6\/5)\/(62\/2015). What is the greatest common divisor of n and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 765 and 25.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sum 49122664073205 and -0.02.\nAnswer: 49122664073204.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u**3 - 7*u**2 - u + 36. Let v be i(6). Suppose q - 3*q = 0. Is 9 a factor of ((-27)\/v - q)*6 + 0?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -897\/88 + 108\/11. Let n be (348\/406)\/(4\/(-7)). Which is the closest to -0.1? (a) s (b) -0.1 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -3*a - 4. Let r(c) = 12*c + 9 - 2 - 7*c. Let m(s) = -7*h(s) - 4*r(s). Let b(z) be the third derivative of z**4\/12 + 11*z**2. What is b(m(q))?\nAnswer: 2*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o**5\/4 + 489*o**4\/2 - 25761*o**3\/4 - 48930*o**2 + 55125*o = 0. Calculate o.\nAnswer: -350, -7, 0, 1, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that 5*r**2 - 128256680*r + 822488798231120 = 0.\nAnswer: 12825668","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sum 103964491 and 2576.\nAnswer: 103967067","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -66? (a) 2\/3 (b) -4 (c) -0.5 (d) -65 (e) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 90 and 6107733?\nAnswer: 61077330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = 4*d - 633, 10*i - 320 = -2*d + 6*i. Let s = d + -163. Suppose -7*z = -8*z. Which is the closest to -3? (a) z (b) 2 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -95, -130, -165?\nAnswer: -200","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 799258 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1550, 1531, 1516, 1505, 1498, 1495, 1496?\nAnswer: 1501","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l**3 + 5*l**2 + 6*l - 26. Let s be r(6). Let y = s + 103\/4. Which is the fourth biggest value? (a) y (b) 2 (c) -2\/9 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2037\/32942)\/((-6)\/(-8)). Let p = 1\/181 - a. Are p and -1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5059 and -2?\nAnswer: -10118","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y, 1 g, and 2 d when four letters picked without replacement from mmjddgyhy.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1217159, 2434319, 3651479?\n\"Answer: 1217160*v - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.3, 19, 2\/87?\nAnswer: 2\/87","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(243) + 1 + (sqrt(27) - (sqrt(243))**2) + 2.\nAnswer: -240 + 12*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -140 - -148.5. Let r = 8.54 - u. Which is the biggest value? (a) 0.3 (b) 0.1 (c) r (d) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m**2 - 5*m - 90. Let y be x(-9). Calculate the highest common divisor of 558 and y.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-104)\/22)\/(104*12\/20592).\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.788 - 558.212. Let t = s - -559.01. Which is the closest to 0.2? (a) t (b) 2\/5 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(51) - (sqrt(1275)*-1 + sqrt(51)))\/(sqrt(3)*5*-6).\nAnswer: -sqrt(17)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -51187, -102406, -153627, -204850?\nAnswer: -256075","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 2*r - r - 19 = 0, 0 = 3*s + 2*r + 4. Suppose s*i + 10 = 4*i. Find the third derivative of 3*b**2 - 2*b**2 + 8*b**5 - 2*b**i wrt b.\nAnswer: 360*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*(p**7*p)\/p*(p*p**(1\/3)\/p*p*p*p)\/p)**49 assuming p is positive.\nAnswer: p**(1519\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/102 + (5 - -82)*(1172\/(-1173) + 1).\nAnswer: -1\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the first derivative of -x**4\/8 - 7*x**3\/6 - 7*x**2\/2 - 4*x - 9. Suppose f(t) = 0. What is t?\nAnswer: -4, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 549 is divided by 29?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -83, -264, -435, -590, -723, -828, -899?\nAnswer: -930","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 2*d + 4 = -18, -3*d = -5*p + 5. Let w = 7 - p. What is the second derivative of -5*n**2 - w*n - 2*n + 10*n**2 wrt n?\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*k + 11*k = -4. Suppose -4*t + 6 = j, j + k - 5 = -2*t. Let d(m) = 11*m + 6 - 5*m - 5*m - j*m. Calculate d(5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4 - -7. Suppose 75*n - 136 - 239 = 0. Solve 3 - k + n*h**2 - 5 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2 + -4. Let i = u - -10. Let c(f) = -f**2 + 8*f + 10. List the prime factors of c(i).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16344 is divided by 527?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 960 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-2\/15)*p*p**(-2)\/p*p*p*(p\/(p*p**(-2\/3)*p))**(2\/3) assuming p is positive.\nAnswer: p**(-16\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32199999 is divided by 35?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 635*w + 4867*w**3 - 4868*w**3 - 635*w.\nAnswer: -w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -16*s - 46. Let a be d(-3). Calculate the common denominator of -69\/2 and 261\/a*((-485)\/(-60) - 8).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4728 = -14*n - 2264. Calculate the lowest common multiple of n and 484.\nAnswer: 1936","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s = 15*f - 13 + 43, 2 = -2*f for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*j**4 + 135*j**3 - 50*j**2 = 0 for j.\nAnswer: 0, 2\/5, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12573, -25144, -37715?\nAnswer: -50286","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3111203 (base 4) to base 9.\nAnswer: 20665","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2\/2623 + 104938\/23607. Suppose -3*x - 4360 = -5*m + 2*x, 4*m - 3483 = 5*x. Let n = 4333\/5 - m. Find the common denominator of j and n.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 - (-18 + 18 - (-13 + -1)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 51 - -56?\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g. Let m(c) = 2*c. Let t = -7 + 9. Let w(d) = -d. Let l be (-4)\/(-6) + 8\/6. Let y(r) = l*m(r) + t*w(r). Calculate y(v(a)).\nAnswer: -2*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the third derivative of -j**6\/120 + 7*j**5\/60 - 5*j**4\/24 - j**3 - 4*j**2. Let r be n(5). Let y be (2 - 1)*5*1. Solve 0 = y*h + r + 1 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (0 - 6) + 9 - (10 + -10)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 35, 239, 765, 1769, 3407, 5835, 9209?\n\"Answer: 26*j**3 + 5*j**2 + 7*j - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 s when two letters picked without replacement from ssas?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -196*r - 197*r + 16 + 783*r - 188*r - 194*r to m*r + l and give l.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.35058 + 0.15058. Which is the third biggest value? (a) f (b) 386 (c) 0 (d) -1\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 224156 to the power of 1\/4, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 bigger than -704?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -774.2 + 3?\nAnswer: -771.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3126 - 3125. Which is the nearest to 1\/2? (a) 3 (b) g (c) -400\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*o - 69*o - 9*o to the form z + h*o and give h.\nAnswer: -85","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 4*w - 22 = 0, 5*k - 4*k - 2*w + 5 = 0. Let q(p) = p**3 + 4*p**2 + 28*p + 79. Let j be q(-3). Is -1626*2\/k*(-1)\/j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14361984 divided by 74802\nAnswer: -192","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2832?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4)\/(-14) + (-57)\/(-21). Suppose q*m - 2 = 2*n, 0*n = -4*n + 5*m. Suppose v + 8 = 2*o, 3*v = 2*o + 4*v. What is the greatest common factor of o and n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m**3 + 4*m**2 + 271*m + 2020. Calculate q(-7).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 294843848?\nAnswer: 2, 13, 2835037","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 81\/161 - 5\/23. What is the smallest value in -9, y, -0.2?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2880 = 6*u - 13338. Does 28 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -20*c + 8. Suppose -3 = -3*p, 0 = n - 3*n + 3*p - 17. What is the remainder when k(n) is divided by 38?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, o: 4, h: 5, u: 3, m: 1}. What is prob of sequence uuu?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (8 + -7)*(1 + 1 - -38)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 + 23 = -5*d. Let k = -4 - -1. Is k less than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 28233130?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 13 - 8. Suppose 2*z = 4*b + 7*z - 15, 0 = -2*b - 3*z + 5. What is the smallest common multiple of b and 4\/(-10) + 112\/g?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1325\/9 + 147. Suppose 0 = 6*p - 3*p - 3*f - 27, -2*p = f - 3. Which is the second smallest value? (a) w (b) 2\/11 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.056 + 0.044. Which is the nearest to 1? (a) v (b) 1\/3 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-22)\/88)\/(140\/(-64) + (-1 - -2))?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-75128 + 2*b**2 + 75128 - 373*b)*(4 - 2 - 4)*(1 - 1 - 2*b).\nAnswer: 8*b**3 - 1492*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -158313*l**3 - 103333 wrt l?\nAnswer: -474939*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five quarters of a second in milliseconds?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = -b + 2*i, 0 = 5*b - 77*i + 78*i + 19 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 10, i: 1, v: 2, f: 2, x: 5}. What is prob of picking 2 y and 1 x?\nAnswer: 15\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the second derivative of -13*j**4\/4 - 43*j**2\/2 + 25*j. What is the first derivative of h(a) wrt a?\nAnswer: -78*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 185069816 to the nearest integer?\nAnswer: 13604","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5060 divided by -55.\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 165 is divided by 42.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4179 and 11393148?\nAnswer: 597","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1 - 11100?\nAnswer: -11101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -58*i + 6 + 84*i + 16 + 53*i + 27*i as j*i + r and give r.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the third derivative of 3*p**7\/35 + 17*p**5\/60 + 12*p**2. Find the third derivative of l(f) wrt f.\nAnswer: 432*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u**2 - 8*u - 10. Let o be a(-6). Put o, 0.2, 5 in increasing order.\nAnswer: 0.2, o, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 88680 - -4652.137.\nAnswer: 93332.137","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 5, -3, -86 in increasing order.\nAnswer: -86, -3, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 875872 is divided by 291806?\nAnswer: 454","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 258 = -12*s + 294. Differentiate 1213 - 695 + 4*h**s - 687 + 12*h**2 wrt h.\nAnswer: 12*h**2 + 24*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is b in -2*b**2 - 64*b - 174 = 0?\nAnswer: -29, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 34\/199?\nAnswer: 34\/199","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 480\/(-400)*40\/6?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2810 to the power of 1\/2, to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d**2 + 13*d - 3. What is j(12)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 141088 < 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -11.079839 to the nearest ten.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.17 - 0.263. Let y = d + 1.613. Round y to 1 dp.\nAnswer: 1.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r**3\/3 + 212*r**2 + 8002*r\/3 + 7320.\nAnswer: 2*(r + 4)*(r + 9)*(r + 305)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-6)\/28)\/((-129)\/(-86)). What is the biggest value in b, -8, 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11375, -11249, -11123?\nAnswer: -10997","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-one halves of a year in months?\nAnswer: 306","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4156.00001218 - -4156. Round w to 6 decimal places.\nAnswer: -0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8883233 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u**3 - 2*u**2 - 3*u - 3. Let p(x) = 2*x**3 + 5*x**2 + 7*x + 4. What is -5*j(r) - 2*p(r)?\nAnswer: r**3 + r + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -9*j**2 + 5*j + 321. Let c(n) = -14*n**2 + 8*n + 482. What is 5*c(f) - 8*i(f)?\nAnswer: 2*f**2 - 158","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 60907?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*q + 4*k = -39*q - 1490, -2*q = -5*k - 391. What is the remainder when 725 is divided by q?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -276 and 42494.\nAnswer: -11728344","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -7*d - 2. Let f(x) be the second derivative of x**3\/3 + 42*x. Calculate f(i(p)).\nAnswer: -14*p - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - k - 40 + 16 = 0, 4*m + 5*k = -15. Which is the nearest to -2\/27? (a) 0.02 (b) m (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -354*d**2 - 74*d**2 + 11 + 103*d**2 - 31*d**2 - 195 wrt d.\nAnswer: -712*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from {s: 2, k: 2, c: 1, l: 3, g: 6}.\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 664 + -664.0386. Which is smaller: y or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*o**3 + 1398565*o**2 + 1398530*o - 8391360.\nAnswer: 5*(o - 2)*(o + 3)*(o + 279712)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 325 minutes after 8:47 PM?\nAnswer: 2:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9023, 18072, 27149, 36254, 45387, 54548, 63737?\nAnswer: 72954","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 50062 and -2.1012?\nAnswer: 50064.1012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 458758757 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -15719749 divided by 15719749\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 51002798.\nAnswer: 2, 7, 11, 37, 8951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 0, -1, -5, 3 in ascending order.\nAnswer: -5, -1, 0, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 65357407 plus -502?\nAnswer: 65356905","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (6\/7)\/((-4)\/(-14)). Suppose 6*j + 795 = v*j. What is the units digit of 2*j\/30*-3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 2, h: 1, j: 1, m: 1, z: 1, v: 1}. What is prob of picking 1 z and 1 j?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 minutes after 2:13 PM?\nAnswer: 2:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 59904 and 100088.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i**2 + 6*i + 10. Let p be n(-4). Suppose -3*q = -2*b - 35, -3*b = 2*q + p*q - 75. What is the remainder when 56 is divided by q?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 6404451, 12808818, 19213185, 25617552, 32021919?\n\"Answer: 6404367*x + 84","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - 21 - (-80 - -61) - (8 + 4).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6294 - 249 = -131*l - 64*l for l.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2 + -5957017?\nAnswer: -5957019","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 6949 < 493419\/71?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -1, -0.162 in increasing order.\nAnswer: -4, -1, -0.162","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m - 8825 = -5*m + 5*z, 2*z = -4*m + 7084. List the prime factors of m.\nAnswer: 29, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44629285 to the power of 1\/4, to the nearest integer?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 24 = 6. Let s(q) be the third derivative of 5*q**4\/24 - q**3 - 3*q**2. Let v(b) = -b - 4 + 3 + 2. Determine k*v(u) + s(u).\nAnswer: -u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -163*l + 756 = -161*l + 5*o, -1134 = -3*l + 3*o. Calculate the remainder when 1156 is divided by l.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 22 - 21. Let a(l) = 7*l - 3. Let j(o) be the first derivative of o**2\/2 + o - 1675. Give q*a(c) + 3*j(c).\nAnswer: 10*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -192360, -768985, -1729876, -3075033?\nAnswer: -4804456","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 23 in -1, 1\/450, 0.05, -4\/7?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -503, -494, -463, -398, -287, -118, 121, 442?\n\"Answer: 2*d**3 - d**2 - 2*d - 502","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p when two letters picked without replacement from xppvxppvppk?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.08 - 1. Let w = 267.92 - 273. Let n = w + z. Which is the smallest value? (a) n (b) -4 (c) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/4, 3, -17 in decreasing order.\nAnswer: 3, -1\/4, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -532, -529, -518, -493, -448, -377, -274, -133?\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 minutes after 12:54 AM?\nAnswer: 1:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 2 + g**2 - g**2 + 5 - g**2. Let b = 2 + -2. What is the units digit of n(b)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(891) + -1)*3.\nAnswer: -3 + 27*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 7*x - 7 = 2*x, -x + 9 = 4*y. Let l(a) = 10*a - 1 + 10 - 3*a**y + 4*a**2. Let m be l(-9). Which is bigger: m or 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 48 and 208?\nAnswer: 624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = a - 3*f - 73, -112*f - 88 = a - 108*f for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6 - -10.5. Let m = 4 - o. Let i = 0.16 + m. What is i rounded to 1 dp?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -67545, -270182, -607911, -1080732, -1688645, -2431650?\nAnswer: -3309747","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 2*h - 14. Let v be r(6). Is -2 not equal to v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the first derivative of -1\/4*c**4 + 1\/3*c**3 + 1\/2*c**2 + 2*c - 3. Let u be n(0). Is u <= 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 92788615?\nAnswer: 5, 241, 77003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 349 - 361 = -6*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + (2 - 3 - 0) + 3.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 763001 (b) -2\/7 (c) -1 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 806 is divided by 20.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 0 - 43?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*t + 40 = -6. Suppose -6*g + 12 = -2*g. Solve 3*r - t*k - 8 = 5*r, 12 = 2*r - g*k for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*c**2 - 5437548*c + 2463910687692.\nAnswer: 3*(c - 906258)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/((m*m\/(m\/(m*m**(6\/7))))\/m)*m*m**(-14\/9)*m)\/((m*m**4)\/m)**(8\/11))**(-14) assuming m is positive.\nAnswer: m**(4604\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -16, -45, -86, -139, -204, -281, -370?\n\"Answer: -6*w**2 - 11*w + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 101 + 2*c - c - 101. Let m = 0 + 3. Let a(o) = 2*o - m*o + 3*o. What is a(u(x))?\nAnswer: 2*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5, 4\/279, -4\/5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3019 is divided by 252?\nAnswer: 247","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11414075 is divided by 24976?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 (base 9) in base 2?\nAnswer: 1110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-1 + 3)\/((-8)\/(-136))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0 + (0 + 162 - -3). Suppose -11*g + j = 11. What is the remainder when 1\/(-2)*216\/(-2) is divided by g?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -6*u. Let f(r) = 541*r**2. What is n(f(t))?\nAnswer: -3246*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*f - 6*f = 5*s - 90, -3*s = 6. Which is the smallest value? (a) f (b) -3 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -289 - -284. Let w(g) be the first derivative of -g**3\/3 - 4*g - 11. Let y(m) = 3. Calculate a*y(z) - 4*w(z).\nAnswer: 4*z**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 262 in 0.4, -0.5, -0.005, -0.3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -638 + 637.9. Let t = -11.3 + -2.7. Let r = t - -12. Sort r, 2, q in increasing order.\nAnswer: r, q, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.11 - 0.01. Which is the second biggest value? (a) v (b) 1.3 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f, 2 n, and 1 j when four letters picked without replacement from jjfjnfjnvvfnfvv.\nAnswer: 16\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 11*o - 13*o + 0*o. Let c(h) be the third derivative of 0*h + 0 + 0*h**3 + 1\/6*h**4 - h**2. Give i(c(p)).\nAnswer: -8*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3773985 is divided by 709?\nAnswer: 687","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2938?\nAnswer: 2, 13, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:25 PM and 8:57 PM?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*6*sqrt(343)*-1 + (sqrt(63) + (sqrt(63) - sqrt(1008)*3))*2 + -1.\nAnswer: -270*sqrt(7) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30*b**3 + 30*b**3 + 46*b**3 - 93*b**3.\nAnswer: 13*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (306\/(-28))\/((-49719)\/(-232022))?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 53201 is divided by 69?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, -1\/7, 4 in decreasing order.\nAnswer: 4, -1\/7, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1505 - 54179\/36. Let t(f) be the second derivative of 0 - 25\/6*f**2 - 5*f - 5\/9*f**3 - w*f**4. Factor t(a).\nAnswer: -(a + 5)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 x when two letters picked without replacement from {a: 2, x: 1}.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:40 PM and 1:48 AM?\nAnswer: 428","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -59*b**4 - 2*b**3*g + 3*b**3*l**2 - 148*b**2*g*l**2 - 3*b*g*l**2 wrt b.\nAnswer: -1416*b - 12*g + 18*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*j**2 - 3*j**3 + 5 - 3*j**2 + j**3 as w*j**2 + m + f*j**3 + o*j and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -25 - -12. Let y(j) = j**3 + 14*j**2 + 6*j + 8. Let m be y(k). Let p = m + -99. Solve -3*s + 4*s = p for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 583804.\nAnswer: 2, 13, 103, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x**3 - 9*x**2 - x + 9. Let c be g(-9). Suppose 2*i + 2*d - d = 76, -5*d + 100 = 3*i. Let p = i - c. Is 22 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 10*o - 5. Let y(p) = -6. Let a(v) = n(v) - 2*y(v). What is a(-4)?\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 996*y + 3492?\nAnswer: 996","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r + 12. Determine y(-8).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*b**4 + 489*b**3 - 969*b**2 + 483*b.\nAnswer: -3*b*(b - 161)*(b - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the third derivative of i**6\/120 - i**5\/15 - 91*i**4\/24 - 93*i**2. Find the second derivative of g(f) wrt f.\nAnswer: 6*f - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -91\/470 and 71\/5828.\nAnswer: 29140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l**2 - 7*l - 2. Let r be p(5). Let b be ((-16)\/r)\/((-2)\/(-3)). Solve 3 = -b*z + z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from epuuiueppe. What is prob of sequence eue?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4272.2252 + 4272. What is m rounded to three dps?\nAnswer: -0.225","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 2*o**3 - o + 2. Let j = -62 + 65. Calculate the remainder when w(j) is divided by 19.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12010212 (base 3) to base 10.\nAnswer: 3749","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 minutes after 7:23 AM?\nAnswer: 7:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-19)*w\/w**(2\/41))\/((w**(-2\/35)*w*w*w)\/w**22) assuming w is positive.\nAnswer: w**(1447\/1435)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(2592))*2*6)**2 + 2*(sqrt(2592)*2 + 3 - sqrt(2592))**2 + 5 + 0.\nAnswer: 432*sqrt(2) + 378455","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 9*s**2 + s. Let a be j(-1). Let o = a - -12. What is the highest common factor of o and 40?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.05 in 1\/8, 1\/12, -1, 0.5, 1514741?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (27 - 18) + -27 + 22 - (-89 + 2) - 2?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gtgt when four letters picked without replacement from {j: 1, u: 1, z: 1, t: 3, g: 4, o: 1}?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 0.3222262 years?\nAnswer: 0.03222262","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:37 PM and 4:18 PM?\nAnswer: 41","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jtmqjmkquqqk. What is prob of sequence kuq?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 24 - 25. Let a(f) = -14*f - 10. Let l be a(n). Solve 13 + 3 = -l*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 202 minutes before 4:08 AM?\nAnswer: 12:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 187110527 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 8 and -24?\nAnswer: -192","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -a + 4*m + 32, -2*a = -0*a + m - 73. Does 26 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.014 and 40.\nAnswer: 39.986","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 10*r**2 + 5*r. Let c = -218 - -155. Let j = -65 - c. Let l be i(j). Is 29 at most as big as l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -101\/140 and 93\/40.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 36227766 is divided by 52?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14614?\nAnswer: 2, 7307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 8*j - 5. Let c(o) = o - 1. Let v(k) = -6*c(k) + i(k). Let r(l) = -l - 1. Give 3*r(b) + 2*v(b).\nAnswer: b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 - 3 - 4)*(y - 2*y + 3*y) - 7*y + 2*y + 4*y - 17 + 1056*y + 16 - 183*y as q*y + j and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4 and 21450.\nAnswer: 85800","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 6894?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 6*c**3 + c - 8. Let s(l) = -4*l**3 - l + 5. Suppose g + 2 = 0, -5*g - 34 = -15*p + 18*p. Calculate p*s(i) - 5*f(i).\nAnswer: 2*i**3 + 3*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4134 in -4, 0.03, 0.15, -0.2, -0.03?\nAnswer: 0.15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6550 and 131?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 2001*d + 76023. Give o(-38).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*c = 14*c - 2. Let b be -140 - -1*(c - -3). What is b rounded to the nearest 10?\nAnswer: -140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -85 - (-72 - -49 - 18)\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/11, -3, -3\/7, 3\/5, -1.54 in decreasing order.\nAnswer: 3\/5, 2\/11, -3\/7, -1.54, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k - 6. Let q(a) be the third derivative of 1\/6*a**3 + 0*a - 10*a**2 - 2. Determine -11*q(n) - 2*v(n).\nAnswer: -2*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1334085 (base 11) in base 2?\nAnswer: 1000110010100000110110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 220\/(-792)*(-2)\/(-5)?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 3*r = 29, 0 = -u + 4*r + 11 + 5. Suppose 24*o = 83*o - 34*o - 25. Calculate the remainder when u\/(-10) + (-7)\/(-5) is divided by o.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -107611 or -107638?\nAnswer: -107638","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 1 + 2*k + 0*k - 2*k + 0*k + (5*k - 4*k - 2*k)*(-3 + 1 + 4) + 3*k - 4*k + 2*k + (-2 + 1 - 2)*(-k + 3*k - k) + 0*k + 2*k - k.\nAnswer: -3*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(2\/85)*(q*q**(-9\/11))\/q)\/(q**(-2\/37))**(-4\/5) assuming q is positive.\nAnswer: q**(-28987\/34595)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 413, -199 in decreasing order.\nAnswer: 413, 3, -199","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 71ac - -99?\nAnswer: 7245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 (base 10) in base 16?\nAnswer: d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j - 6 = -40329*v + 40323*v, 27 = 5*j - v for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 191926933\/4543575 - 2\/156675. Let g = -15\/58 - x. What is the common denominator of -97\/22 and g?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 72318*q**3*y - 3*q**2*y - 14*q**2 + 17*q*y wrt q?\nAnswer: 433908*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 485, 2517, 8109, 19067, 37197, 64305, 102197, 152679?\nAnswer: 217557","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 65226, -1\/4, 5 in descending order.\nAnswer: 65226, 5, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the second derivative of r**4\/3 - 13*r**3\/6 - 11*r**2 + 122*r. Is h(-7) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-6)\/(-5) - (-3 - -4). Let y = 2.0484 + -0.0484. Which is the nearest to 1? (a) 0.1 (b) y (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 19*l - 5. Let n be s(1). Let a be -2*(-4 - n\/(-4)). Put 0, 4, a in descending order.\nAnswer: 4, a, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 248821852 to the nearest integer?\nAnswer: 629","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 501.2 - 499. Let r = 66324466.19999896 - 66324464. Let h = r - q. What is h rounded to 7 dps?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k**4 - 14*k**3 - 15*k**2 + 198*k = 0. What is k?\nAnswer: -11, -6, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -14 + 10. Let t(h) be the second derivative of -h**4\/12 + 5*h**3\/6 - h**2 - 4*h. Let m be t(5). Which is smaller: m or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -124 + 295. Calculate the highest common factor of 18 and o.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d - 4. Let l be v(-7). Suppose 5*s = l*n - 10493, 6962 = 2*n + 7*s - 2*s. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 141 + 93 = 0. Calculate the highest common factor of 192 and v.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 234?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15520 divided by -4.\nAnswer: 3880","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1019399, -1019415, -1019451, -1019519, -1019631?\nAnswer: -1019799","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3 + 11303?\nAnswer: 11300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 11, -3\/8, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-41*t + 29*t + 19*t)*(4*t**2 - 2*t**2 - 4*t**2) - 6817*t**2 + 6817*t**2 - 22*t**3 to the form j*t**3 + x*t + c*t**2 + n and give j.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0*(-1)\/(-2)*-2. Suppose g = y - 4 + 1. Let x(v) = -8*v**2 + y*v**2 + 2*v**2. Let r(b) = -2*b**2. What is x(r(p))?\nAnswer: -12*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -2590593, -2590594, -2590595?\n\"Answer: -h - 2590592","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n**4\/4 + 2271*n**3\/2 - 49191*n**2 + 897161*n\/2 + 7276395\/4 = 0. What is n?\nAnswer: -4585, -3, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 1882.6386 to the nearest one hundred.\nAnswer: 1900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 853530.1108434 - -26?\nAnswer: 853556.1108434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6706807 and 524.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -11690 divided by -3\nAnswer: 11690\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, f: 1, u: 1, e: 1}. Give prob of picking 1 k and 1 e.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1704 + (1 - 9\/6)*10?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = a**2 - 18*a - 10. Let y be n(15). Let o = y + 59. What is the second derivative of 17*j + j**5 - 858*j**o + 858*j**4 wrt j?\nAnswer: 20*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that 3*z**3\/5 - 66*z**2\/5 - 45*z = 0.\nAnswer: -3, 0, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(19)*4 - sqrt(19)) + sqrt(19) - ((sqrt(209) - 1*sqrt(209) - sqrt(209)) + sqrt(209))\/sqrt(11))**2.\nAnswer: 1216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b**3 - b + 5. Let x be l(0). Sort x, -11, -1\/2 in ascending order.\nAnswer: -11, -1\/2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 times 2591681.9?\nAnswer: -18141773.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -47? (a) -7 (b) 0.1 (c) -5\/3 (d) 8.1 (e) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*x**3 - 6586*x**2 + 13207*x**2 - 6621*x**2.\nAnswer: -2*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 13, 6\/7, -7 in ascending order.\nAnswer: -7, 6\/7, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 528\/(-11880)*-5*3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1 + -40762?\nAnswer: -40763","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:06 PM and 11:57 PM?\nAnswer: 291","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -2*q**2 + 98073*q + 26030668. What is y(-264)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uuu when three letters picked without replacement from uuuu.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2658890 by -565.\nAnswer: 4706","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 4, b: 6, z: 1, f: 5}. What is prob of sequence yf?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -32e7f (base 16) to base 11\nAnswer: -132726","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 47, 50, 53, 56?\n\"Answer: 3*u + 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2*g**4 - 2)*(-17 - 8 - 7)*(-2 + 0 - 3).\nAnswer: -320*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p**3 - 3*p**2 + 4*p + 8. Determine g(-3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a kilometer in meters?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 12.49 times -88.6?\nAnswer: -1106.614","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 861163?\nAnswer: 861163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 200 and 230?\nAnswer: 4600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9 by -34308.\nAnswer: -1\/3812","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -47640, -47570, -47496, -47418, -47336, -47250?\nAnswer: -47160","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that 5*l**3 + 4766555*l**2 + 1135952277920*l - 23857099933380 = 0.\nAnswer: -476666, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 3, -909 in decreasing order.\nAnswer: 3, -1, -909","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 15*t + 1. Let k be z(2). Is (12 - (-4)\/4)*k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7275371572 to the nearest integer?\nAnswer: 85296","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -723 + 720.8. What is the biggest value in 2\/5, a, 0.1?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t**2 + 3*t - 36. Let r be h(5). Suppose 0 = 3*w - 3*o, -11 + 4 = -5*w - 2*o. Sort r, w, 2 in decreasing order.\nAnswer: r, 2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*c**5*y - 6100*c**3*y**2 - 30*c**3 - 420329*c**2*y**2 + c**2*y - c**2 wrt c?\nAnswer: -120*c**2*y - 36600*y**2 - 180","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1369 + 419 = -10*v. Calculate the highest common factor of 20 and v.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (360\/(-44))\/(-10)*11\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3 - -1. Let h = 2863.85 + -2861.849888. Let j = h + l. What is j rounded to 5 decimal places?\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1.1 - 1.9. Let w be (-42)\/18 + (8\/6)\/((-4)\/(-12)). What is the fourth biggest value in 28, -0.4, b, w?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k + 4*t - 1 = 0, 0 = 2*k - 2*t - 2 + 4 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 80 + 7*y - 128 - 43 - 142 - y to o + i*y and give i.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -85\/41137092 and 53\/162.\nAnswer: 123411276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*f**5 - 2*f**5 + 0*f**5)*(5 - 4 - 3) - 4*f**5 + 4*f**5 + f**5 - 2*f**5 + 3*f**5 - 3*f**5 + (-5*f**3 - 3*f + 3*f)*(-f**2 - 2*f**2 + 5*f**2).\nAnswer: -15*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 2*i - 434 = 0, 10*i - 1079 = -5*t + 9*i. Let y = -194 + t. What is the least common multiple of 50 and y?\nAnswer: 550","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 31089915?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -10? (a) -0.4 (b) -4 (c) 3 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i + 15*i = 0 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 102065, 0.1, -0.12 in descending order.\nAnswer: 102065, 0.1, -0.12, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 82 - 77. Let m be 4\/18 + (-4003)\/(-9). Suppose -3*i + 440 = w*u, 2*u - 7*u = 2*i - m. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - v + p + 9 = 0, -2*v = -5*p - 6. Calculate the remainder when (1\/2)\/(6\/36) is divided by v.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 43 - 15 = 2*a, -2*u = -2*a + 16. Suppose -2*m + 21 = 3*q, a*m - 16 - 6 = -2*q. Suppose -q*n - 5*x = -18 - 2, 0 = 5*n + x - 4. Is n not equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -64535060 + -5?\nAnswer: -64535065","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 72783366 to the nearest integer?\nAnswer: 8531","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7386 and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6 and 102.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 36\/24*1040\/156?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + -1*sqrt(17))**2 + 1*sqrt(425).\nAnswer: 42 + 15*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 331415334 to the power of 1\/3, to the nearest integer?\nAnswer: 692","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 - 5 = -2*d - 3*j, 2*j = -3*d + 14. Sort -1.1, -6, d in descending order.\nAnswer: d, -1.1, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k, 1 o, and 1 y when three letters picked without replacement from {y: 1, r: 1, q: 1, o: 1, k: 3}.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z - 26 = -2*g, -29*z + 3*g = -34*z + 29 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -23 + -3. Let m = 7 + d. Let f = 0 - m. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((399 + -34)\/(-73))\/((-1)\/(-3))?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*b - q + 42 = 22*b, 5*b = 2*q + 59. Suppose -925 = -b*g - 232. Calculate the highest common factor of g and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aa when two letters picked without replacement from aaglxpalxlss.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.13994 minus 1835?\nAnswer: -1834.86006","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the second derivative of m**4\/12 - m**3\/2 - m**2\/2 + m. Suppose -3*t - 3*o = -15, 0 = 2*o - 0*o - 2. Calculate b(t).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 174162928 and 249279.\nAnswer: 522488784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -21 + 21.068. What is r rounded to two decimal places?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n**3 - 10*n**2 + 10*n - 16. Let g be t(9). Let c(b) = -4*b - 24. Let m be c(g). Suppose -2*d = -5*x - 0*d + 8, -m*d = 16. Solve r = -x - 1 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nrnnnnnrnnnrnrrrnn. What is prob of sequence rnr?\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence po when two letters picked without replacement from {p: 2, o: 3, z: 7}.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -51*y + 0*y + 141*y + 91*y as z + v*y and give v.\nAnswer: 181","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 9\/(12\/14 + 57\/(-532)) and 63?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.232789 kilograms in grams?\nAnswer: 6232.789","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*j + 88*j + 14*j + 12*j in the form s*j + g and give s.\nAnswer: 111","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2627831 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a milligram in micrograms?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -13 - -10. Which is the biggest value? (a) 0.4 (b) y (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 384 and 4416?\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -979 - 648 - 3*n**2 + 2607 - 980.\nAnswer: -3*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - 4\/7)*7.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1088 divide 908082880?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -4*x - x - h, 3*h = -2*x + 6. Suppose 3*o - 4*a - 291 = -8*a, -4*o - 5*a + 389 = x. What is the tens digit of o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 25 = 41. Let q be ((-6)\/(-33))\/((-2)\/m). Suppose 2*a + 4*j = 30, 6 = q*j - 4. Solve 2 = c - 2*x, a*c + 3*x = -1 - 28 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5897180227?\nAnswer: 5897180227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in 161, 5, 1928?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 53*v**2 - 5242*v - 46. Give g(99).\nAnswer: 449","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 4*c + 2 = 0. Is (-9415)\/(-4) + ((-12)\/(-16))\/c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 54 - 3*o + 48 + 50 - 125. Calculate the least common multiple of r(-5) and 42.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/o**(3\/2))\/(o\/(o*o*o**(5\/2)*o)*o) assuming o is positive.\nAnswer: o**3","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 14) in base 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 4*r = -72, 48 = -2*t + 5*t - 4*r. What is the closest to 2 in t, -5\/3, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -53c (base 15) in base 6?\nAnswer: -5250","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 44 = 28. What is the remainder when n is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -22201 - 12201112000?\nAnswer: -12201211201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 2*w**3 - 6*w**2 - 2*w - 4. Let g be f(5). Suppose i - g = 3*j - 6*j, -4*i + 54 = 2*j. Calculate the remainder when j is divided by 11.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 918187 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 16 = 27. List the prime factors of a.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0\/(5*(-3)\/(-15)))\/1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 37.08506 years?\nAnswer: 445.02072","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*o*q**4 - 2*o*q**3*y - 2*o*q**2*y**3 - 8*o*q*y**2 + 113*q**4*y**3 - 11*q*y**3 wrt q?\nAnswer: -96*o*q - 12*o*y + 2712*q*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -159*h**3 + 8*h**2 - 11*h - 31. Let f(m) = 2*m**3 - m**2 + 1. Let u(g) = a(g) + 6*f(g). Is u(-6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 839150.\nAnswer: 2, 5, 13, 1291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a = 4*l - 20, -1937*l + 1942*l - 25 = -15*a for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/2*26*(-25)\/(-5). Let r = 67 - g. Solve 0*h = r*h - 10 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 162\/10 - (-4)\/(-20). Let d be (9\/3 - r)\/(-1). Solve d - 1 = -3*l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -25 + 4 - 5 + 11*y. Let j(p) = 5*p - 12. Let h(x) = 6*b(x) - 13*j(x). Calculate h(-2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:50 AM and 3:11 PM?\nAnswer: 321","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q**2 - 13*q + 19. Let l be c(2). Is 3 + -4 - (l - 28461) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 3*y + 2*y**3 + 0*y + 2 - y**4 + y**2 - 4*y**3 in the form w*y**4 + j*y**2 + t*y**3 + h + l*y and give l.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 35\/28*(-56)\/(-175)\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -31\/6 + -16\/3. Suppose b + 4*b + 180 = 0. Let v = b - -24. Which is smaller: v or l?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 12*k**3 - k**2 + 2*k**2 - 6*k**4 + 18*k - 13*k**3 + 8 + 0 as u*k + h + p*k**3 + y*k**2 + m*k**4 and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -59.33 + -0.67. Let r = -66.2 - l. Let h = -6.2058 - r. What is h rounded to 3 dps?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1971 - -1977. What is the smallest common multiple of n and 2735?\nAnswer: 16410","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 4*l + 4. Let y be q(4). Let d(z) = -y*z - 24*z**2 + 20*z. Let o(w) = w. Determine d(o(i)).\nAnswer: -24*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:48 PM and 12:35 AM?\nAnswer: 467","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the third derivative of -8*p**4\/3 + p**3\/3 + 28*p**2 - 6. Let c(w) = 10*w**2. Determine c(a(z)).\nAnswer: 40960*z**2 - 2560*z + 40","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the first derivative of q**4\/4 - 4*q**3\/3 - 2*q + 6. Suppose 0 = -p - 4*w + 4, 17*p - 12*p - 5*w = 20. What is g(p)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -58 - -81. List the prime factors of u.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -36430 - 5?\nAnswer: -36435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 times 2.2?\nAnswer: 6.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 278696 and 88.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -3378 divided by 1\nAnswer: -3378","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-198)\/(-30)*(36 - 31). Let o(g) = -57*g**2 + 33*g - 15. Let t(a) = 7*a**2 - 4*a + 2. What is z*t(h) + 4*o(h)?\nAnswer: 3*h**2 + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*l - 3*s - 81, -36705 = 5*l - 6*s - 36867 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3 - -6. Let g be 1200\/(3 - 6\/y). Round g to the nearest one hundred.\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 18510203?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 18394769 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -5*a**2 + 3. Let v be -9 - -6 - (0 + -12). Let d(r) = -v*r**2 - 2*r + 2*r - 15*r**2 + 14. Calculate -3*d(l) + 14*o(l).\nAnswer: 2*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 547 minutes after 9:50 AM?\nAnswer: 6:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 528.2540062 rounded to 2 dps?\nAnswer: 528.25","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 41 (b) 3\/17 (c) -14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -184 equal to -184?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 199988185 and 40?\nAnswer: 1599905480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 752 and 40232?\nAnswer: 80464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhlhhlllhhlhlllhhllh. What is prob of picking 1 h and 2 l?\nAnswer: 15\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -483.28201 to the nearest ten.\nAnswer: -480","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 421127273 to the nearest integer?\nAnswer: 750","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13810 (base 11) to base 10.\nAnswer: 19613","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 901041971 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f**3 - 12*f**2 - 2*f + 22. Let l be u(12). Sort 0, -5, 24, l in decreasing order.\nAnswer: 24, 0, l, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4049*d = 4839*d + 44240 for d.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 18609625*j**4 + 92837450*j**3 - 1052580*j**2 + 3974*j - 5.\nAnswer: (j + 5)*(265*j - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + (-1 - -2) - 4 - 1.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18026750 is divided by 4506682?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide (52\/(-20) + (-6)\/(-10))*-636?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(171)\/(2*sqrt(225)).\nAnswer: sqrt(19)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 24654 to the nearest integer?\nAnswer: 157","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = i - 14*i + 12766. List the prime factors of i.\nAnswer: 2, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8103204 * -61\nAnswer: -494295444","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 958626642?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 584 + 4\/18 + (-624)\/(-108)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1 - (0\/(-1) - 2). Let x = -0.5 - -0.5. Sort x, s, 4, -1\/2 in descending order.\nAnswer: 4, s, x, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 25 - 17. Calculate the greatest common divisor of f and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -28 + 32. Suppose -u - n*u + 55 = 0. Calculate the highest common divisor of u and 33.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -100253 + -3?\nAnswer: -100256","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**2 + 13008*n - 42302016.\nAnswer: -(n - 6504)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -17\/2 + 8. Let v = 0.32 - 0.02. Let o = v + 0.2. Which is the second smallest value? (a) 0 (b) o (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.011 - 0.489. Which is the closest to -0.5? (a) -1 (b) k (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that -2*i**5 - 1372*i**4 + 6*i**3 + 4112*i**2 - 2744*i = 0.\nAnswer: -686, -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 60\/(-45)*(-24)\/2. Suppose -2*n = 2*n - h. Solve -2*l + 2*p = -3*p + 20, 16 = 5*l + n*p for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -2*y**2 - 202*y - 5069. Give r(-52).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y*y**(-3\/2))*y)\/(y\/y**(-7))*(y**(1\/2)*y)\/(y\/(y\/y**1*y)))**(-25) assuming y is positive.\nAnswer: y**100","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-6)\/(-4))\/(-3)*(-12 - -14). Is 419895\/180 - ((-1)\/(-4))\/z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 4*b - 9. Suppose 3*f - b*f = -2. Which is greater: 4 or f?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3 - -2. Let j = h - -6. Let i = -28 - -32. Which is the closest to -0.1? (a) j (b) i (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3761 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 14 - 5 = 0. Suppose y - w - h - 4 = 0, -4*w - 3 = y. Solve -5 = 5*n + y for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 3 + 10 - 13 + v. Let u(c) = -4*c**2 + 12*c - 7. Let j(z) = -3*z**2 + 10*z - 7. Let y(t) = -6*j(t) + 5*u(t). Give y(o(k)).\nAnswer: -2*k**2 + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01478891014 rounded to six decimal places?\nAnswer: -0.014789","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -226073\/18 + 12563. What is the common denominator of 17\/618 and n?\nAnswer: 1854","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 160533463 to the nearest integer?\nAnswer: 12670","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -3388*s - 132131. Calculate t(-39).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = 4*x - 7, 3*x + 6 = 2*j + 5*x. What is the hundreds digit of 40\/32*j*124?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000000583543 rounded to seven dps?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(((u\/(((u*u**(-10\/3)*u)\/u)\/u))\/u*u*u)\/u))\/u*u**(-20) assuming u is positive.\nAnswer: u**(-73\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/(4*3\/60). Suppose 23*r - 28*r = u. Is 0 <= r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*y**3 + 372*y + 705*y**3 - 372*y.\nAnswer: 718*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 117975 divided by 1573?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1 (b) -0.1 (c) 120\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:34 PM and 11:16 PM?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 4238.983 micrometers in millimeters?\nAnswer: 4.238983","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 10987801 a multiple of 220?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-8 - -11)\/(-3)*1*-1. Suppose m + 15 = 2*y - 6*y, 3*m = 5*y + 6. Put t, 4, m in decreasing order.\nAnswer: 4, t, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -g**3 + g + 1. Let n(f) = -8*f**3 + 10 + 5*f + 0*f + 7*f. Suppose -5*t - 12*a - 101 = 0, 5*t + 19*a = 23*a + 27. Calculate t*n(s) + 10*m(s).\nAnswer: -2*s**3 - 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4360 + -7a6?\nAnswer: 3bba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7 - 3. Suppose 7*k - 198 = i*k. Let f be (-22)\/(1*(-4 - -3)). What is the greatest common divisor of f and k?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 2*t)*(-6568 + 6568 + 135*t).\nAnswer: 270*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0\/(2 + 4 + -4). Suppose g = -w - 4*i + i + 5, -4*i + 4 = 0. Suppose 2*m = 3*t - 201, -67 = -t + 4*m - w*m. Is 14 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that a**2 - 1970*a + 1969 = 0.\nAnswer: 1, 1969","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i**3\/6 + 13*i**2\/2 + 227*i\/3 - 176 = 0. What is i?\nAnswer: -11, 2, 48","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - 24\/(-4))*105\/45?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 15830 and 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2 or -510?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 21171*s**5 - 6009*s**5 - 5020*s**5 + (-2*s**2 + s**3 + 2*s**2)*(-3 + 2*s**2 + 3) - s**2 + s**2 + 2*s**5.\nAnswer: 10146*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1049317 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*y**3 - 12\/5*y**4 - 58\/5*y**2 + 0 - 1\/5*y**5 - 24\/5*y = 0 for y.\nAnswer: -6, -4, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7096933 and 54575?\nAnswer: 2183","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 13409 and 8533?\nAnswer: 93863","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-7)\/21 - (2 - 884\/6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -54 - 92 - 35*b - 20*b + 7*b. List the prime factors of a(-27).\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-8 - -2)*(-2 - (-28)\/12)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 - 8 = 3*z, -5*d = 5*z + 5. Suppose d = -5*i - 5*l + l + 13, 2*i - 2*l = 16. What is the units digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1415497 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2 + 28 + 0\/3. Suppose -9*k - k = o. Sort -5, k, 2 in increasing order.\nAnswer: -5, k, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6142?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a day in hours?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4\/3, 4, -5, 0.04, -1\/2, -8447, 16?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -9 + 13?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -4*-898730\nAnswer: 3594920","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: ((-36)\/165)\/((-2060)\/2884*(-42)\/100)\nAnswer: -8\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lleeenlehllelelleh. Give prob of sequence hlhe.\nAnswer: 7\/4590","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(108)*-2 + -1 - -1*sqrt(108)*-1)*-6 + -5)*2)**2.\nAnswer: 864*sqrt(3) + 139972","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 28747?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 2*y**2 - 6*y. Let u be f(3). Let k(j) = j**2 + u*j**2 + 1220 - 1222 + j. What is k(2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in h - 17*h - 5 - 5 - 3.\nAnswer: -16*h - 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 614217 is divided by 102280.\nAnswer: 537","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the second derivative of -w**7\/2520 + w**6\/240 + w**5\/60 + w**4\/12 - w. Let p(f) be the third derivative of k(f). Calculate p(2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = 2*x + 12, s - 9 = -0*x - x. Solve 2*k + k = -5*o + 22, -5*o - s = -5*k for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by -568.\nAnswer: -1\/284","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + -8 + -2 + -4?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 81 or -5867?\nAnswer: 81","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3744 and 54405?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -8 + (1 - -1 - (-64 - -69))\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -2*j**3 + 25*j**2 + 14*j - 10. Let z be g(13). Suppose 0*x = -z*x + 33. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (873\/5868)\/(51\/(-34)) and (246\/80)\/(-4*(-2)\/(-16)).\nAnswer: 9780","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3.55+-432542.213714\nAnswer: -432545.763714","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 7844 divided by -9?\nAnswer: -7844\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 163056203 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/16, 2\/11, 2\/5, 3, -3 in decreasing order.\nAnswer: 3, 2\/5, 2\/11, 1\/16, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + 2 - (2 + 12).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + (-17 - 0) + 0 - (28 - 34)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -14, -34, -138, -392, -862?\nAnswer: -1614","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k**3 + 2*k**2 + 2*k - 2. Let d be f(-2). Let c be (-8)\/d*(-30)\/12. Let t(i) = 3*i + 3. Let a be t(3). Solve -r + a = c*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:35 AM and 8:56 AM?\nAnswer: 141","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-o + 3*o - 3*o)*(-5 - 1 + 5) + 0 + 0 - 3*o + 0*o + 2*o + o)*(0 + 2 - 1).\nAnswer: o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 193*x - 5544. Give k(38).\nAnswer: 1790","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 8*q**3 + 2950*q**2 - 1061*q - 119219. Give h(-369).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2400)*1 + sqrt(24) + (sqrt(24) - -3*(sqrt(24) - sqrt(216))))\/(sqrt(392) - sqrt(392)*2*2))**2*2.\nAnswer: 24\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 539 minutes before 5:36 PM?\nAnswer: 8:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w**3 + 3*w**2 + w - 1. Determine c(4).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qjjqqqqjqqjj. Give prob of sequence qjqj.\nAnswer: 7\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 14.84 + -20. Let d = 0.94 - z. Let x = d - 9. What is x rounded to the nearest integer?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -12 - 103?\nAnswer: -115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = t**3 - 6*t**2 + t - 3. Let h be g(6). Solve -6 = -h*q - 0*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 32 divided by -8\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -14155 - -14155. Is k bigger than -0.0549?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -285 - -420. Suppose 0 = 12*g - l - 153. Calculate the greatest common divisor of 456 and g.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bbxx when four letters picked without replacement from {b: 2, x: 9}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 243629 to the power of 1\/2, to the nearest integer?\nAnswer: 494","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1449470059 to the nearest integer?\nAnswer: 1132","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33 = 3*o - 4*j, 0 = -2*o - 5*j - 28 + 4. Put -4, o, 114, 2 in ascending order.\nAnswer: -4, 2, o, 114","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (36\/8)\/(1\/18). What is the highest common factor of p and 54?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a meter in millimeters?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k**3 - k**2 - k + 38. What is the tens digit of g(0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2452488 a multiple of 136?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2 + (-3 - -1))*-1. Suppose 19 = f*g - 93. Let x = 50 - g. Does 14 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t**2 + t. Suppose -8*k + 12 = -4*k - 2*f, -f - 14 = -4*k. Let v(r) = -17*r**2 - 4*r. What is k*s(j) + v(j)?\nAnswer: -13*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 14374716 + -6158256. Suppose 0 = 5*j - 34552911 - 30029389. Let w = j - n. What is w rounded to the nearest 1000000?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 100199 is divided by 4447?\nAnswer: 2365","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 1, d: 1, h: 2, p: 2, i: 1, j: 1}. Give prob of picking 1 p, 1 d, and 1 i.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (2\/12)\/((-3)\/(-18))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/(-2)*(-15)\/((-60)\/32). Suppose w*c - 2*u = 66 + 186, -c - 3*u = -63. Calculate the highest common factor of 21 and c.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 2*i**2. Let y(k) = -k**2 - 2 - 3*k**2 - 1 + 4*k + 3. Calculate y(o(u)).\nAnswer: -16*u**4 + 8*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -45 - 11754*z - 3787*z + 46.\nAnswer: -15541*z + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-33)\/(-7) - 2\/(-7). Suppose 5*w = -5*q, -3*w + w - 3 = 3*q. Let g be 2\/i - 3\/w. Which is the smallest value? (a) g (b) 2 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -100*k = -90*k + 10 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 3*y**3 - y**2 + y - 1. Let i = -7 + 17. What is the least common multiple of n(1) and i?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g**2 - 5*g + 2. Suppose -5*r - 11 = 9. Let u be p(r). What are the prime factors of u\/4*14 + -2?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t + 8. Let c be r(8). Let p be 6\/(-5)*10\/(-4). Suppose 3*u - 25 = -5*j - 2*u, -p*u + 25 = 5*j. Solve j*y - 3 = 2*s, -3*y + s + 1 = -c*s for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 a when two letters picked without replacement from aajnjjhjah.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-20)\/(200\/(-15))*36\/(-27).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 45 or 51?\nAnswer: 45","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a + 111 = 5*b, 2*b = -8623*a + 8620*a + 26 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 60 and 5?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 229 divide 470688?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -145 + 142. Let b = -4358 + 4359. What is the nearest to 0 in 0.5, w, b?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that -2*z**3\/7 - 22*z**2\/7 + 80*z\/7 - 8 = 0.\nAnswer: -14, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -196, -231, -244, -223, -156, -31, 164?\n\"Answer: 2*r**3 - r**2 - 46*r - 151","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**1)**(-1\/8)\/((i*i**2)\/(i\/(i\/(i\/i**(-2\/3))*i)*i)) assuming i is positive.\nAnswer: i**(-35\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7\/44 - -93\/308. Are p and 213 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6026959*b**3 - 1632114*b wrt b?\nAnswer: -36161754*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10593, -21182, -31771?\nAnswer: -42360","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -3*o. Let u be c(-2). Suppose v - u = -v. Suppose -v*r - 17 = g - 5*g, 3*g = -2*r. Sort g, 0, -1 in increasing order.\nAnswer: -1, 0, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 252 = 3*x + 4*x. Suppose -x = 14*v - 17*v. Calculate the lowest common multiple of v and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.47 + -0.17. Which is the nearest to -3\/2? (a) -2 (b) 2\/3 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 372 divided by 63\nAnswer: 124\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -3*q**2. Let n(w) = 4*w**2 - 2. Determine -24*k(g) + 4*n(g).\nAnswer: 88*g**2 - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 153793 and 226.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 3040335 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-14)\/(-4) + 9\/(-54). Let i = h + -17\/6. Is 12 at least as big as i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*g**3\/3 + 518*g**2 + 9523880*g\/3.\nAnswer: -2*g*(g - 2605)*(g + 1828)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -73*h + 83*h - 10 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u**3 - 8*u**2 + 4. Let p be g(-8). Suppose p*o + 13 - 5 = 0. Let b = -5 - 0. Put -11, o, b in descending order.\nAnswer: o, b, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -2*j**2 + 2*j. Let a(u) = 7*u. Calculate p(a(s)).\nAnswer: -98*s**2 + 14*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that -8*i**5\/13 + 56*i**4\/13 - 34*i**3\/13 - 80*i**2\/13 - 24*i\/13 = 0.\nAnswer: -1\/2, 0, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 3*g**2 + 2871*g - 2871*g - 4*g**2. Let l(d) = 12*d**2. What is b(l(q))?\nAnswer: -144*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 1489770 to the nearest one hundred thousand.\nAnswer: 1500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 674 or 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1900)\/(-570))\/((-35)\/(-399)).\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the third derivative of 3*t**6\/80 - 7*t**5\/20 - 5*t**4\/12 + 50*t**3\/3 + 62*t**2. Find l such that r(l) = 0.\nAnswer: -2, 10\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 5*d - 7. Let o(j) = -5*j + 6. Let h(m) = 4*o(m) + 5*v(m). List the prime factors of h(7).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 854 a factor of 180192707?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 2 z when three letters picked without replacement from zzcczzczzzzzcc.\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/(-3) + (-3)\/9. Let h(d) = d**2 - 9*d + 12. Let p be h(7). What is the tens digit of 4 - -25 - (p - i)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5474 = -5601*m + 5992*m for m.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 41\/5 less than or equal to 0.161?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -2*m**2 - 2*m - 1. Let y be z(-1). Let u be -4 - (0\/y)\/2. Put 4, u, -14 in decreasing order.\nAnswer: 4, u, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zuk when three letters picked without replacement from urkrz.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -2*t + 5. Let s(b) = -6*b - t + 1. What is s(-1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -7, -39, -600 in descending order.\nAnswer: -3, -7, -39, -600","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k**3 + k**2 - k + 2. Calculate q(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 70\/11*c**3 + 0 - 2\/11*c**5 + 32\/11*c**4 + 0*c + 36\/11*c**2.\nAnswer: -2*c**2*(c - 18)*(c + 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 10 = s - d, -3*s - 2*d = -14. Let t(o) = s*o - 11*o - 12*o - 11. What is the tens digit of t(-3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 15 = -4*s, 0 = 2*p + 2*s - 1 - 5. Put p, -4, 5 in descending order.\nAnswer: 5, p, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -365229, -730456, -1095683?\n\"Answer: -365227*m - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together -13735 and 15.\nAnswer: -13720","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 50*f*u**2*w + 2*f*u**2 + 44*f + 2*u**2*w - 2*w wrt w?\nAnswer: 50*f*u**2 + 2*u**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z**3 - 8*z**2 + 9*z + 2. Let u = 6 + -15. Let t be y(u). Calculate the highest common factor of 10 and t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 10\/(-18)*1\/(-5). Let q be (-14)\/(-6) - 1\/3. Suppose -q*c = -7*c. Which is greater: r or c?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -701239 or -3\/40?\nAnswer: -3\/40","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -3*m**2 - 12*m. Let f(c) = c. Let p(b) = 12*f(b) + y(b). Let k(l) = -2*l**2 + 5*l**2 + 0*l**2 - l**2. Give k(p(x)).\nAnswer: 18*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t + 5. Let m(b) = -4*b + 16. Let a(y) = 3*y + 2. Let w be a(-3). Let q(f) = w*d(f) + 2*m(f). Let g = -14 + 17. Determine q(g).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*(sqrt(156) - -2*sqrt(156) - sqrt(156)) - sqrt(156)) + sqrt(156) - (1*sqrt(156)*3 - sqrt(156)))\/(-2*4*-2*sqrt(588)).\nAnswer: 5*sqrt(13)\/56","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((11502\/(-24))\/71)\/(9\/(-16)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vj when two letters picked without replacement from {e: 4, d: 4, v: 7, j: 3}.\nAnswer: 7\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 18 - 17.5. Sort -4, 1, m.\nAnswer: -4, m, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (426 + 619 + 181 + 804 + 494)*(-2*z**5 + 16*z**3 - 16*z**3).\nAnswer: -5048*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1332 and 7694?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q**2 + 15*q + 38. What is o(-16)?\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5196 and 996.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 416 + -7. Let k = 166 + s. Calculate the highest common divisor of k and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that 2*a**5\/5 - 26*a**4 + 1458*a**3\/5 + 2266*a**2\/5 - 8396*a\/5 + 960 = 0.\nAnswer: -3, 1, 16, 50","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10157.\nAnswer: 7, 1451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.018034 + 0.0175. What is q rounded to 4 dps?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1382692996?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 6344 to the power of 1\/3, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0006157 to 5 dps.\nAnswer: 0.00062","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the third derivative of 0*o**3 + 2*o**2 - 1\/84*o**4 + 0 + 0*o - 1\/105*o**5 - 1\/420*o**6. Factor m(t).\nAnswer: -2*t*(t + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 14754 + -14724. What is the remainder when m is divided by 18?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29494501 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 55*h**3 + 51*h**3 + 85*h**3 - 343*h**3 + 89*h**3 + 60*h**3.\nAnswer: -3*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 6, r: 3, j: 2, h: 6, v: 3}. Give prob of picking 1 j, 1 r, and 2 m.\nAnswer: 6\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -195972\/43109 - -2\/3919. Find the common denominator of v and -7\/55.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2735, 9755, 21449, 37811, 58835, 84515, 114845, 149819?\nAnswer: 189431","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 425?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1483 = 46*o - 81 for o.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2 (b) 3 (c) -0.021 (d) -1 (e) -5\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 2*o**2 - 3*o. Let v be r(2). Suppose -v*f - 2*p - 52 = 0, 23 = -f + 4*p - 6*p. Let n = 49 + f. Calculate the greatest common divisor of n and 30.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r**2 - 4*r + 5. Let n be m(6). Let h = n - 17. Is h greater than or equal to -10\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*2\/(-8)*(-88)\/33.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-35836)\/4046 + 3 + (60\/14)\/(-2)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*t**2 + 6*t**2 - 48*t**2 + 7*t**2 + 23*t**2 + 12*t**2.\nAnswer: 19*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(14)\/(sqrt(35)\/sqrt(5)) - (-5*sqrt(24))\/sqrt(12))*5*-3 + 4.\nAnswer: -90*sqrt(2) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5758189, -11516376, -17274565, -23032756, -28790949?\nAnswer: -34549144","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2.96 - -2.4. Let v = -0.16 - u. What is the biggest value in 12, 0.2, v?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 22.46 - -0.54. Let f = 6 - q. Let m = f - -17.3. Which is the nearest to -1? (a) -0.4 (b) m (c) -2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 152*h - 2750 = 163*h. Is -249 != h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 21 times 335415\nAnswer: 7043715","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2850, 2913, 2974, 3033, 3090?\nAnswer: 3145","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 978463 to the nearest integer?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9 + -3 - -13 - -6) + (12 + 22 - 5).\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16523*c - 1059780 = 394244 for c.\nAnswer: 88","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that -13*n**5\/2 - 3539*n**4\/2 - 2137*n**3 + 8389*n**2 - 6513*n\/2 - 2439\/2 = 0.\nAnswer: -271, -3, -3\/13, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 445091608?\nAnswer: 2, 13, 149, 28723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -10.116 - -7.213. Let w = 0.097 - p. Let f = -15 - -14.3. Which is the biggest value? (a) w (b) 1 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 - -3. Let u = 0.1614 + 0.3386. Which is the fourth biggest value? (a) -1 (b) n (c) u (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 501032, 501030, 501028, 501026?\n\"Answer: -2*a + 501034","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5916526 and 373.\nAnswer: 373","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (294 - 451) + 166 + (110 - (1 - 2)).\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c**3 - 6*c**2 + 13*c + 39. What is r(-9)?\nAnswer: 165","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*k - 0*k - k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2*-2)\/((-49)\/(91287\/(-46))*9).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is b04c + b1a?\nAnswer: bb69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -9 (b) -5642 (c) -4 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = 1 + 9. Suppose -3*n = 28 - 13. Is i not equal to n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/3 (b) -2 (c) 0.1 (d) 21 (e) -1\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10828 divided by 1.\nAnswer: 10828","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 25, -0.3, 4, -0.2, 8.9, -10 in decreasing order.\nAnswer: 25, 8.9, 4, -0.2, -0.3, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(931) - sqrt(931)) + -5)**2.\nAnswer: 140*sqrt(19) + 3749","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + sqrt(88)\/sqrt(8) + (-4 + sqrt(55)\/sqrt(5))**2 - ((sqrt(11) - (sqrt(11) - (-4 + (sqrt(11) - sqrt(99))))) + (-5 + sqrt(11) + sqrt(11)*1)**2).\nAnswer: -43 + 15*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3)\/(-3)*15\/3. Let a = 22 - 21. Sort 3, a, g in ascending order.\nAnswer: a, 3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in eleven quarters of a week?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p**2 - 1623868*p - 14615136 = 0. What is p?\nAnswer: -9, 405976","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*b**2 - 3*b**2 - 2*b**2)*(-5 + 2*b + 8 + 4).\nAnswer: -18*b**3 - 63*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -883*z + 46197 = 2347*z + 26817 for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*p**4 - 1 + 1 + (-3*p**3 + p**3 + 6*p**3)*(-2*p + 2*p - 2*p) - 4*p**4 - 2*p**4 - 4*p**4.\nAnswer: -16*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -200.877 + 200. Let z = n - -0.504. Let a = z + 0.37. Round a to 2 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 3 = 81. Suppose l*w - 1162 = 12956. What is the tens digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31162 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z**(2\/3)\/z)\/z*z)**31*z**(1\/2)*z**1)**(1\/5) assuming z is positive.\nAnswer: z**(-53\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8.942 + -9.732. Let g = -7 - -6. Which is the nearest to g? (a) -0.2 (b) -1\/3 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 626748106 and 370?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12800\/8000*(-75)\/(-2).\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 2*s**2 - 8*s - 1. Let q be g(4). Which is the closest to -4? (a) q (b) 0 (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(2 + (sqrt(2) - sqrt(8)\/(2*sqrt(4))))**2.\nAnswer: 12*sqrt(2) + 27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a millisecond in microseconds?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 548 = -4*v + 3*b, 688 = 5*v - 2*b. Is 46 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r**5 + 202*r**4 + 26226*r**3 - 1305072*r**2 - 201987081*r - 5150217330 = 0.\nAnswer: -57, 103, 270","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -2*(393\/6 + -4). Let x = f - -125. Solve p + 25 = 5*p - 5*m, 5*m + 15 = x*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 629940428 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-26)\/6 + ((-2)\/(-42) - 6\/(-21))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 3 (b) 1 (c) 18 (d) 1.3 (e) -7\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -3035 to the nearest 1000.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -36 + 13. Let i = -21 - r. Solve 3 = i*m - 1 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.211339 or 12?\nAnswer: -0.211339","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 325296 or 207?\nAnswer: 325296","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2841.8*-117.\nAnswer: -332490.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/164948 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6*d**2 + 9*d - 26*d + 2*d)*(2 - 8 + 1) in the form r*d + c*d**2 + m and give c.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + 11 + (0 - -4) + -30 - (-3 + 5)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*q + 211 = 205. Is 521 - (q + 2 + -2) - 1 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 36 and 36116?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0018113926 rounded to 6 decimal places?\nAnswer: 0.001811","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five halves of a second in milliseconds?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 44 and 19382264?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - -1 - (-5 - 1) - -1.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13428 is divided by 184?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put together 53756 and -1949.\nAnswer: 51807","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -15*h. Let x = -190 - -195. Let j(f) be the second derivative of -7*f**3\/6 + 73*f + 1. What is x*j(s) - 3*t(s)?\nAnswer: 10*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i = 36 + 6. What is the third derivative of -30*v**5 - v**2 + 32*v**5 + i*v**2 wrt v?\nAnswer: 120*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that 2*f**3 + 42*f**2 - 90*f + 46 = 0.\nAnswer: -23, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 376918, 1507664, 3392240, 6030646, 9422882, 13568948?\n\"Answer: 376915*v**2 + v + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 - 16 - -7 - 4.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 8 = -1. Let y = g - -2. Let n = y - -6. Is 5 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 432 minutes after 9:17 AM?\nAnswer: 4:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 2*9\/12*(-40)\/12\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3496 - 2359. Let b = 3343 - j. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 37124896.\nAnswer: 2, 307, 3779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the first derivative of z**8\/168 + z**2\/2 + 2. Let b(j) be the second derivative of q(j). Solve b(l) = 0 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence udld when four letters picked without replacement from {n: 5, u: 1, l: 1, d: 10}.\nAnswer: 3\/1904","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-7 - -4)*(-4)\/6. Let c(a) = 10*a + 1. What are the prime factors of c(h)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 48887540?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 139\/12 and -29\/8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 90832539?\nAnswer: 3, 7, 4325359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -173 - -1559\/9. Let t be 32\/12 + -4 + 2. Which is the biggest value? (a) h (b) t (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = 3*b - 25, 6*b - 16 = 4*b + 3*g. Suppose -j - 4 = -2*u + 8, b*j + 4 = 3*u. Let a(p) = p**2 - 8*p + 15. Let l be a(u). Solve -4*h + l = h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2023087833 to the nearest integer?\nAnswer: 44979","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -25*f + 918. Determine k(22).\nAnswer: 368","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 359 minutes after 12:31 PM?\nAnswer: 6:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 144\/(-108) - 2\/3.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.2 and -5594.58.\nAnswer: 1118.916","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 3*(-6 - (-26248)\/24) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 464 + 1.99?\nAnswer: 465.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -2 + (2 - (-2 + 1)). Let m = -1 + -7. Let x = 1 + m. Put j, -5, x in increasing order.\nAnswer: x, -5, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a**2 + 26*a + 503. Let q be k(36). Calculate the highest common divisor of q and 7293.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hshhsoshhhhss. What is prob of picking 2 s?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 8842211 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 41\/2 of a millimeter?\nAnswer: 20500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (7496\/12)\/((-1)\/12) - (-92 - -86). What is f rounded to the nearest one thousand?\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*k - 15 = -2*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -27*g. Let s(y) = 5*y. What is v(s(t))?\nAnswer: -135*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*j - 108 = -17*j. What is the highest common factor of 1 and j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**4 - 4*o**3 + 3*o**4 - o**4 + 4*o - 6*o**3 + 6*o - o**2.\nAnswer: o*(o - 10)*(o - 1)*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 67*q**2 + 3. Let s(i) = 133*i**2 + 6. Calculate -9*g(l) + 4*s(l).\nAnswer: -71*l**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve r - 9 = 3*o, -r = 2*o + 2*r - 5 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 6*r - 3*r**2 - 1 - 4 + 4*r**2. Let x be n(-8). What is the highest common factor of x and 44?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0*(3\/6 - 1). Suppose h*n + 4*n - 12 = 0. Sort -3, -0.4, n in increasing order.\nAnswer: -3, -0.4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bwbv when four letters picked without replacement from wbwiwwwvbwi?\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 218\/3 - 72. Let a(x) be the first derivative of 1 + 0*x**2 - w*x**3 + 0*x + 0*x**4 - 1\/5*x**5. Find the third derivative of a(q) wrt q.\nAnswer: -24*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 220853 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l**2 - l + 15. Let g be y(0). Let m be (36\/g)\/(6\/20). Suppose -m*n = -7*n. Is n bigger than 2\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 51\/76 and -83\/94354.\nAnswer: 188708","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 + (-9 - (-6 + 5)) - (264 + -150)?\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 760*k + 8195 + 4931 - 3246 for k.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*o**4 - 6*o**2 + 6*o**2)*(17*o - 95*o - 3*o).\nAnswer: -810*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 47, 6, 7 in ascending order.\nAnswer: 6, 7, 47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15, 19, 92, -30.\nAnswer: -30, -15, 19, 92","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 33330 - 1?\nAnswer: 33324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y when two letters picked without replacement from yybybbbb?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1499124463.\nAnswer: 29, 107, 179, 2699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(19) - sqrt(1900)*-1)*4)**2.\nAnswer: 919600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 3, n: 13}. Give prob of sequence nvn.\nAnswer: 39\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m**3 - 34*m**2 + 52*m + 72. Let r be p(32). Let g = -310 - r. Solve q - g*a = -1, -5*a = -0*a + 5 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = -4*b - 524, -c = -3*b + 8*b - 137. What is the highest common factor of c and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1587, 3003, 4407, 5793, 7155, 8487?\nAnswer: 9783","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + -1*(-2 - -1) + 984640\/(-130320).\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 44619 and 59492?\nAnswer: 178476","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 0.41583485 - 0.2\nAnswer: 0.21583485","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -786 + 325. Let h = l - -466. Solve 8*c = -3 - h for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 76 - 74. Suppose 8 - 38 = 6*q. Let y be (-60)\/24*4\/q. Are f and y nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = -9*m + 5. Let k(b) = b**3 - 7*b**2 + 6*b + 2. Let n be k(6). Let t be 3\/5*(-23 + 18) - -2. Sort m, -4, n, t in decreasing order.\nAnswer: n, m, t, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*l + 61*l = 234*l + 955. Sort -19, l, 2, -23, 4 in descending order.\nAnswer: 4, 2, l, -19, -23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -74458*n - 4467476. What is z(-60)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 568084134?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -156 = 144*a - 156*a for a.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7650020?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 v when three letters picked without replacement from {v: 6, l: 2}.\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -33*v + 9. Calculate o(7).\nAnswer: -222","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5115.7l in millilitres?\nAnswer: 5115700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - (2 - 6) - 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -10*p**2 + 2*p - 1. Let z be v(1). Let a be (3\/z)\/((-8)\/(-6)). Let m be (-6)\/(-4)*((-16)\/(-3) - 6). Which is bigger: m or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 10, -14, -62, -140, -254, -410?\n\"Answer: -l**3 - 6*l**2 + l + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -999*s - 543. What are the prime factors of y(-5)?\nAnswer: 2, 3, 7, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -3*p**2 - 4*p + 5. Let k(j) = 4*j**2 + 5*j - 6. Let y(u) = -2*k(u) - 3*s(u). List the prime factors of y(3).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from wwiuiuiiuq.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 939905.\nAnswer: 5, 317, 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -12*x**3 + 8*x**2 - 47*x + 85. Determine h(3).\nAnswer: -308","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 23 + 55. Suppose 2*t + q = -t. Let s = -5 - t. List the prime factors of s.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -8857 and 0.4?\nAnswer: -3542.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 178 = -3*x + 21*x - 20. What is the least common multiple of x and 3498?\nAnswer: 3498","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6.1369 + -0.1631. Is u smaller than -15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18341 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1345 not equal to 1361?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 45743\/5 - 9149. What is the fifth smallest value in x, 1\/7, 0.4, 8, -0.3?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-2\/9))**(-27))**(-27)\/(((z\/(z*z**5))\/z)**(-36))**(-5\/9) assuming z is positive.\nAnswer: z**(-42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 3687438 divided by 3482\nAnswer: 1059","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*v**2 - 31*v + 35*v + 0*v**2 - 768 + 4*v**2.\nAnswer: -v**2 + 4*v - 768","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = -5*l + 4677, -871 = -l - 2*m + 71. Let x be l\/91 + (-2)\/7. Let w = 4 + x. What is the units digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m**4\/12 - 3*m**3\/4 - 47*m**2\/12 - 21*m\/4 - 13\/6 = 0. What is m?\nAnswer: -2, -1, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -1885488 divided by 39281\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (48\/(-160))\/((-27)\/156)*(-1070)\/(-856)\nAnswer: 13\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 108156049 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is ((4\/2)\/(8328\/4858))\/(35\/(-135))?\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 49*l + 44*l - 39*l + (18*l - 1 + 1)*(0 + 2 - 1) in the form v + j*l and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/11941 or 1?\nAnswer: -2\/11941","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 424*r + 27523. What is o(-65)?\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2969, -3063, -3157, -3251, -3345, -3439?\nAnswer: -3533","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 48943 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1679 and 219.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:52 PM and 3:44 PM?\nAnswer: 172","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -a53 (base 11) to base 7.\nAnswer: -3461","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -13 - -9. Let n = -3.4 - h. Let v = n + -0.5. Which is greater: v or 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*o = -31*o - 4*i + 540, 0 = -o + i + 270. Calculate the greatest common divisor of 1458 and o.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19\/64 and (-4)\/(-6) - 335\/110?\nAnswer: 2112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -17697, -5, -3524, 1.\nAnswer: -17697, -3524, -5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*q - 28*q = 5*d + 42, -8 + 0 = 2*q for d.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*h - 36 = 46*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -490 + 475. Does 23 divide 276\/u*110\/(-44)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w + k = 16, 0 = 3*w - 2*k - 22 + 15 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -159.3 (b) 1 (c) -1\/12 (d) -1 (e) -2\/89\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 - 0 - (-24 + (19 - -20)) - -7?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 3 - 1)*(-1 + 6 - 3)*(5 + 4 + 10)*((3*j + 3 - 3)*(1 - 3 + 4) + (0 - 1 + 0)*(-2*j - 2*j + 0*j) - 2 + 2 + 2*j) in the form y + k*j and give k.\nAnswer: -456","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1958 to the power of 1\/4, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 154 and 704.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 0 + (-2*(-2 + sqrt(128) + -2))**2 + 5.\nAnswer: -256*sqrt(2) + 585","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - 11) + (14 - -1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = t - 2. Let a(u) = u**2 + 4*u - 13. Let v be a(-6). Let m(o) = -7*o + 11. Let w(q) = v*m(q) - 6*g(q). Let z(i) = i**2 - 4*i - 2. Give 6*w(d) + 2*z(d).\nAnswer: 2*d**2 - 2*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -129*c - 21058258 = -21057355 for c.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 540621, 5, -3 in decreasing order.\nAnswer: 540621, 5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 23 - 28. Let h(y) = -2*y**3 - 5*y**2 + 5*y + 4. Let m be h(z). Suppose 56 = j + 8*p - 3*p, -3*j = -p - m. What is the tens digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 997031.7s in weeks?\nAnswer: 1.64853125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2 and 35665?\nAnswer: 71330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 66156 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 a when two letters picked without replacement from fqfttqafqqaltfqt.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -469412340*i**3 - 143671*i**2 - 143671*i - 1724052. Let b(k) = -13069*k**3 - 4*k**2 - 4*k - 48. What is 143671*b(w) - 4*x(w)?\nAnswer: 13061*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c**2\/5 + 196491*c\/5 + 786012\/5 = 0. What is c?\nAnswer: -4, 65501","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -17*v**6 + v**3 - 2*v**2 - 6 wrt v.\nAnswer: -2040*v**3 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 101221 (base 3) in base 15?\nAnswer: 14a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/((85\/(-30))\/17).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z + 412 = 4*z. Let x = z + -69. Suppose 35*a + 3 = x*a. Which is greater: 1 or a?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 247912?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2442240 and 90.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (((-780)\/9)\/5)\/((-4)\/24). Is -1*(-1 - 2)*f a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 128\/(-96)*6\/8?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (15\/20)\/((-303)\/(-202))?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 574*c + 29. Let z(f) = 4*f + 1. Let o(h) = b(h) - 5*z(h). What is the hundreds digit of o(3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s**3 - 2*s + 144. Is i(0) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -631, -2295, -5069, -8953, -13947?\nAnswer: -20051","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x**3 + 43*x**2 - 404*x + 89. Calculate b(29).\nAnswer: 147","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2075592782 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7304 - 5559. Is d a multiple of 138?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 714 minutes before 9:59 AM?\nAnswer: 10:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 132, 265, 398?\nAnswer: 531","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 34\/837 or 2517?\nAnswer: 2517","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -23555647*v**2. Let b(a) = 2*a**2. What is z(b(j))?\nAnswer: -94222588*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*r**2 + 2*r**2 - 3*r**2)*(2*r - 2*r - r)*(-66 + 4*r + 0*r + 68).\nAnswer: 24*r**4 + 12*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7021163 - 13*g - 7021163.\nAnswer: -13*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 5*f - 2. Let k(a) = -a**2. Give k(t(n)).\nAnswer: -25*n**2 + 20*n - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 325, 328, 333, 340, 349?\n\"Answer: t**2 + 324","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(350) - sqrt(350)*-1)\/(-4*sqrt(28)\/sqrt(4)).\nAnswer: -5*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 2*o**3 - 12*o**2 - o + 8. Let n be h(6). Solve s - n*s = t, 3*t = 2*s - 5 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11854253 a multiple of 49?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -2*v. Let u(n) = 9 + n**2 + 0*n**2 - 9. Let m(h) = 10*h**2. Let c(i) = 3*m(i) - 24*u(i). Determine c(z(a)).\nAnswer: 24*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that 2*j**5\/7 - 226*j**4\/7 + 446*j**3\/7 - 222*j**2\/7 = 0.\nAnswer: 0, 1, 111","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (312\/(-208))\/(8639\/(-4318) + 2).\nAnswer: 17, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3 - 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pmeipiiei. What is prob of sequence pipi?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 12 + -9. Suppose 2*r + 11 = g - w*r, 2*g - 3*r = 8. Solve 5*z = -g + 11 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -56857, -56863, -56873, -56887, -56905?\nAnswer: -56927","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 6*l**2 - 4*l**2 - l**2 + 2*l + 7*l + 316 + 9*l. Does 86 divide a(-38)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 462?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x + 18. Let d be -10 - (-4 + 175\/(-28)). Which is greater: x or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -20, -42, -74, -122, -192, -290, -422?\n\"Answer: -d**3 + d**2 - 18*d - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1542764 + -1?\nAnswer: 1542763","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 41440234 (base 5) to base 11.\nAnswer: 214935","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:57 AM and 3:08 PM?\nAnswer: 251","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-9)\/(-63) + (-40)\/(-14))*-1. What is the nearest to -0.4 in 8, 0, g?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.44 and 323.4.\nAnswer: 142.296","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 401 + -127 + -132 + -4.\nAnswer: 138","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 182a7b (base 14) in base 6?\nAnswer: 30135421","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.4 (b) -0.01 (c) -0.5 (d) 0.5 (e) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that 11314092070733841*u**2 - 425470884*u + 4 = 0.\nAnswer: 2\/106367721","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -1*25\/(-5 + 0). Solve b*r - 11 = 3*g + 29, 0 = -5*g - 25 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 8802622?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 4550003*n - 6. Let i be l(2). What is i rounded to the nearest 1000000?\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uippuiipuuupiu. Give prob of sequence ppip.\nAnswer: 4\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = y + 17. Suppose -32 + 14 = -o. Let n be ((-3)\/2)\/(3\/o). List the prime factors of p(n).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 59\/25 and 29\/110.\nAnswer: 550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the second derivative of 15321*y**5\/20 - y**4\/12 - 8*y**3\/3 - 10*y**2 - 8*y + 1. Let b be d(5). Round b to the nearest 100000.\nAnswer: 1900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 88*h**2 - 2*h + 8. Is a(7) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 (base 11) to base 7\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-26)\/6 + 4)\/(-1). Determine y so that -2\/3*y - z - 1\/3*y**2 = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.5 - 0.3. Which is the nearest to 2? (a) -0.2 (b) 14 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -21647 and -10040?\nAnswer: 217335880","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*q + n + 472, 5*q - 2*n - 459 = 326. Calculate the remainder when 4769 is divided by q.\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 140956960 and 190.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/(-3 + (0 - -3)\/3). Let r(k) = 11*k**2 - 8*k - 7. What is the smallest common multiple of r(t) and 20?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 42981?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 6420959 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that -2*c**2 - 117486*c + 21094076 = 0.\nAnswer: -58922, 179","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 3*t = -3201, 2*j + 4*t = 2033 - 449. Calculate the least common multiple of j and 798.\nAnswer: 798","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -488*h + 7957. What is g(16)?\nAnswer: 149","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -408216 divided by 8\nAnswer: -51027","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 6*n + 2228 = t, -4*t = 4*n - 8944. List the prime factors of t.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-9*g**3 - 32 + 32)*(3*g - 6*g + 2*g) + 0*g**3 + 0*g**3 + 2*g**4 to k + u*g**4 + x*g**2 + i*g**3 + s*g and give u.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -31329 + 45100. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j*j\/((j*j**0\/j)\/j))\/(j*j**(-16)) assuming j is positive.\nAnswer: j**19","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q**3 + 5*q**2 + 3. Let m be v(-5). Let n(c) = -c - 2. Let a be n(-2). Determine p so that p + a - 7\/2*p**m - 5\/2*p**2 = 0.\nAnswer: -1, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 175 minutes after 11:47 AM?\nAnswer: 2:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3225, 6450, 9675, 12900, 16125?\nAnswer: 19350","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 15247 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: Solve f + 5 = 0, -45*f - 20 = 5*h - 43*f for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the second derivative of -359*o**4\/6 + 86*o**3 + o**2 - 681*o - 1. What is the second derivative of x(c) wrt c?\nAnswer: -1436","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11000110100011 (base 2) to base 9.\nAnswer: -18378","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*z + 21*z - 102 = 0. Suppose 3*d - z = 19. Suppose 5*g - 45 = 2*g. Calculate the lowest common multiple of d and g.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -203103 (base 4) in base 2?\nAnswer: -100011010011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the second derivative of 7*a**3\/6 - 10*a**2 - a. Let d = 242 - 237. What is the remainder when 73 is divided by f(d)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**10*((h*h**11)\/h)\/h)\/((h**(-2)\/h)\/h)**(-2\/89) assuming h is positive.\nAnswer: h**(1772\/89)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -45, 19219, 1 in decreasing order.\nAnswer: 19219, 1, -45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 6*r - 76 = 0. What is the remainder when 37 is divided by r?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(1*(-3)\/(-5)*(-4)\/6)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by -72316.\nAnswer: -1\/72316","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/7, 4, -0.1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 80 + -63. Suppose 23 = 5*v - 2. Suppose -t + 8 = -v*t, 0 = p + 5*t - 126. Calculate the greatest common divisor of q and p.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t - 5. Let q be k(5). Let o be (q - 3) + (7 - 4). Solve -5*i = -10 - o for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:08 PM and 11:29 PM?\nAnswer: 681","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (15 - 0)\/((-15)\/(-10)). Let f = 12 - j. Let y be 2 + 0 + (3 - -9). Solve 2*x + 4*u = -y, 0*u - 1 = -5*x + f*u for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 59 + -54. Suppose 9*r = o*r + 892. List the prime factors of r.\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 10\/(-2)*(-4 - -2). Suppose 4*w - 2*y + 132 = 0, -3*y - 2*y = 4*w + 160. Let j be 16\/(-7) - i\/w. Which is the nearest to 0.6? (a) -1 (b) -0.2 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o**3 - o**2 + 4*o - 10. Let j(v) = 5*v**3 + v**2 - 19*v + 38. Let z(b) = j(b) + 3*y(b). Give z(3).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 - m**3)*(-1 + 6 - 3) - 5*m**3 + 0 + 4 - 5.\nAnswer: -7*m**3 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -158635.576 to the nearest ten thousand.\nAnswer: -160000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = 2*y - 3949, 5*y - 9065 = 4*x + 840. List the prime factors of y.\nAnswer: 3, 659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/15*(-10)\/(-6)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 2*v + 2*v + 2 = 0, -5*f = 5*v - 20. Let j(i) = -7*i + 3. Let d(l) = 22*l - 10. Let t(r) = -5*d(r) - 16*j(r). Determine t(f).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 853401.\nAnswer: 3, 284467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/9, 25, 0.03?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 195491514?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-27)\/(-54)*(-2)\/3.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/(((-2)\/(-4))\/(6\/(360\/(-12)))).\nAnswer: 12\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o**4 + 8*o**3 - 10*o**2 - 72*o - 72 = 0.\nAnswer: -3, -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is d1400 - 6?\nAnswer: d13d8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 537?\nAnswer: 3, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 137744 (base 8) to base 12\nAnswer: 24518","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the first derivative of 1\/6*q**4 + 2 - q + 0*q**2 + 0*q**3. Let i(g) be the first derivative of n(g). Let o(y) = 3*y**2. Determine o(i(k)).\nAnswer: 12*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 176*b + 1690 + 1711 - 233 = 0 for b.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 864*b + 325*b - 2.\nAnswer: -539*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 29, 4, 374 in decreasing order.\nAnswer: 374, 29, 4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the third derivative of 4\/105*l**5 + 25*l**2 + 2\/7*l**4 + 1\/630*l**6 + 0 + 0*l + 16\/3*l**3. Let v(p) be the first derivative of i(p). Factor v(g).\nAnswer: 4*(g + 2)*(g + 6)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.7 - -3.7. Let w = 0.1 + -0.1. Let q = -2.6 + 3. What is the closest to w in m, 0.5, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 20 - -13c?\nAnswer: 15c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = 59*a + 127 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 28 + (13 - (35 + -50 - (-15 - -1)) - 19)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2142 and 102?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l**3 - 8*l**2 - 2. Let h be (-48)\/(-15) - (-1)\/(-5). Suppose j = -4*x - 3*j - 44, 42 = -4*x - h*j. Is v(x) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-8)\/b*b*b**(-9))**(-39) assuming b is positive.\nAnswer: b**663","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 142729581.7 to the nearest 10000.\nAnswer: 142730000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6256, -6236, -6216, -6196?\nAnswer: -6176","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the first derivative of 0*n**2 + 4 + n**4 + 0*n + 1\/3*n**3. What is the third derivative of w(t) wrt t?\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7414 + 8342 - 16460)*(0*t**4 - 2*t**4 + 4*t**4) + t**2 - t**2 + 2*t**4.\nAnswer: -1406*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -188.61 != 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 229220202?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*-6*(-2*(sqrt(171) + (sqrt(171) - (sqrt(171) - 2*sqrt(171)*-2))))\/(1*sqrt(81)*-5 - sqrt(81)).\nAnswer: 6*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -14321*q**2*v**3 + 7*q**2*v + 311*q**2 - 2*q*v - 2*q + v**3 wrt v?\nAnswer: -85926*q**2*v + 6*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5640 and 6430728?\nAnswer: 1128","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 277*o - 878 = 92 + 138 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -207 + -94. Let t = 301.000000151 + q. Round t to seven decimal places.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -11.8 + 0.8. Let h be (24\/60)\/(22\/(-10)). What is the smallest value in 4, g, h, -0.2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hhh when three letters picked without replacement from {h: 3, r: 7}?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -7*i**2 - 2*i + 8. Let r(t) = 15*t**2 + 4*t - 15. Let v(m) = 6*r(m) + 11*z(m). Suppose 0 = -5*k + 4 + 1. Does 3 divide v(k)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -58 = 2*v - 26*w, 4*w - 1586 + 1581 = -v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*u**2 - 9*u**2 + 3*u**2.\nAnswer: 5*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 6*g - 1 - 10*g - 30*g. Let q(r) = r**2 - 10*r - 1. Let t be q(10). Is 14 a factor of a(t)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 389480.5ml?\nAnswer: 389.4805","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -239388 divided by -2?\nAnswer: 119694","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -4*j**2 + 1088*j - 67528. Calculate o(176).\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 32 and 260704.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 111*y - 8. What are the prime factors of q(1)?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -12 + 7. Let x(g) = 2*g**3 + 14*g + 6. Let q(z) = 3*z**3 + 15*z + 6. Let y(t) = w*q(t) + 6*x(t). Factor y(o).\nAnswer: -3*(o - 2)*(o + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 67\/8021994 and 103\/6324?\nAnswer: 16043988","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2 - (1 - -11))\/(-2). Suppose 5 - 30 = -z*g. Let v = g - 3. Solve 3*j - 6 = -5*y, 2*j - v*y = -2*j + 8 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -3*q - 3*q + 10 - 2*q + q**2. Suppose -s - 4*z = 20, 2*s - 3*z = -0 + 15. Suppose s = -4*p + 5*m + 38, 5*p - 18 = p - 5*m. Give g(p).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 7) to base 16\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q, 1 v, and 2 f when four letters picked without replacement from fqqfqvvff.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2720944nm in micrometers?\nAnswer: 0.0002720944","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 285259 is divided by 10532.\nAnswer: 895","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -83455*p**2 + 6. Let y(x) = -3*x. What is y(k(o))?\nAnswer: 250365*o**2 - 18","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Let o = 28 - -34. Suppose -5*a = -0*v + v - o, -4*a = -5*v + 339. Let y = v - 40. Calculate the greatest common factor of y and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -893*x**2\/2 + 1496*x - 1206.\nAnswer: -(x - 2)*(893*x - 1206)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 20259 a multiple of 63?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35*t**2 - 37*t**2 - 370255*t**3 + 72*t**2.\nAnswer: -370255*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (3\/7)\/((-3 - 12)\/15). Which is the nearest to q? (a) 4\/5 (b) -6 (c) 2\/21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -22*u**2 - 28*u + 64. Let i be v(6). Let p = i + 1967. What are the prime factors of p?\nAnswer: 3, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1314*z + 199 + 92 + 68 + 129 + 439 wrt z?\nAnswer: 1314","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 4 = -3*t, 6*j - 24 = 4*j + 2*t. Let u(h) = -j - 2 + 13 - 2*h. Suppose -2*g = -g + 5. Let q(k) = 6*k - 8. Determine g*q(i) - 14*u(i).\nAnswer: -2*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 + 5 + -2 - 6) + 2 + -3.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = -5*q - 211720 - 96396, -q = 4. Let g = n + -52869. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 127182 is divided by 12715?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(156)\/(sqrt(24)\/sqrt(2)) + 5.\nAnswer: sqrt(13) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -12397 (base 11) in base 12?\nAnswer: -a350","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0 - 1.5. Let j = h + 1.13. Round j to 1 dp.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 260559 to the power of 1\/2, to the nearest integer?\nAnswer: 510","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 + -6 - (11 + 8 + -17)) + -4.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*v - 8*j - 28 = 6*v + v, 12 = -j + 4*j for v.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1716\/(-1815) + 11 + (8 - (-372)\/(-20))?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b**3 + 6*b**2 + b + 3. Let w be ((-6)\/8)\/(2\/(-16)). Suppose 0 = 2*n - 3*n + 26. Calculate the remainder when n is divided by o(w).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3c3c21 (base 14) to base 4.\nAnswer: 13331003111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 g when two letters picked without replacement from qrrrrrvgvrrrgrrr.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53 = 5*u + 498. Let j = 139 + u. Let r(v) = 18*v**2 + 2*v + 1. Calculate the remainder when j is divided by r(-1).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1466.3005 - -1466. Let h = -0.079 - u. Let w = h - 0.22. Round w to 3 decimal places.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6805650 divided by -1361130.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = 2*r + 40. Let i(f) = -f - 11. Give i(r).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (48\/18)\/((-46)\/(-207)). Solve -976*a + x = -974*a for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13675 = -3*b - 13705 for b.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -7397a9 (base 11) to base 8\nAnswer: -4410741","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -298*k + 52855 = -977*k - 282*k for k.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 39\/4820 and 81\/14?\nAnswer: 33740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 1, i: 3, l: 4, q: 2, r: 2, a: 8}. What is prob of picking 1 q, 1 a, 1 r, and 1 i?\nAnswer: 32\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-nine quarters of a litre in millilitres?\nAnswer: 12250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 0, 5, -1165, 55, -2, 2 in descending order.\nAnswer: 55, 5, 2, 0, -1, -2, -1165","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.087*1.\nAnswer: -0.087","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1 (b) -2 (c) 1319 (d) -0.2 (e) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (6 - 6) + (19 - 1 - 13)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bfrsjbcf. Give prob of sequence sjb.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -5 times -62819219\nAnswer: 314096095","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(432) - (3 + sqrt(432)*1)) + sqrt(432) - sqrt(432))**2 - (sqrt(9)\/(-3*sqrt(3)) + 4))*3.\nAnswer: sqrt(3) + 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 34 + 26 - (-131022)\/(-2175)?\nAnswer: -6\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*m - 36*m - 2*g = -122, 7*m + g - 178 = 0. What is the smallest common multiple of (2\/3)\/((-1)\/(-9)) and m?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 362 a factor of 10136?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:39 PM and 7:38 PM?\nAnswer: 359","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -18, -4, 11, 5, 253.\nAnswer: -18, -4, 5, 11, 253","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q**3 - 5*q**2 + q + 4. Suppose -3*v + 28 = 4*h, 0 = -4*v - 0*v - h + 20. Determine j(v).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5, -1038727, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -0.17, 0, -2 in descending order.\nAnswer: 0, -0.17, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 17*c + 3. What is the units digit of t(2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 5*p + 18 = 67, p + 35 = 5*r. What are the prime factors of ((-16)\/r)\/(2\/(-18))?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the second derivative of 1\/2*f**2 - 9*f - 1\/6*f**3 + 0. Give r(-4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*r - 2 + 0 + 5)*(-1 + 0 + 0).\nAnswer: 2*r - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4586261?\nAnswer: 37, 123953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wwaa when four letters picked without replacement from {w: 2, a: 4}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1106 + 116 = -10*l. What is the greatest common factor of l and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c**2 - c - 1. Let d(y) = -6*y**2 - 4*y - 4. Let p(i) = d(i) - 4*l(i). Let v(n) = n - 14. Determine v(p(a)).\nAnswer: -2*a**2 - 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = -4*b - 3, 4*z + 2 = 5*b - 1. Suppose -g = z - 8. Solve f = g*f + 12 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -28, -32, -36, -40, -44, -48?\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-1)\/(8\/(-95190)) + ((-6258)\/(-168) - 36).\nAnswer: 2, 5, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 54136 + -36682. What are the prime factors of t?\nAnswer: 2, 3, 2909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b and 1 v when three letters picked without replacement from {v: 1, b: 3}.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -f7a + e?\nAnswer: -f6c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 60\/150 - (-86)\/10. Let d be 96\/p*18\/12. Calculate the greatest common divisor of 224 and d.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y - 25*d + 23*d - 37 = 0, y + d + 8 = 0 for y.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 3031 (base 5) to base 16\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*p - p**2 - 1399 - 1402 + 4198 - 1397.\nAnswer: -p**2 - 19*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 259755?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of 42 and 1.\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1.4 in -0.3, 0.04, -5\/2, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1709 - 729 = -189*a - 910 for a.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 283 - 186. Suppose -4*d + b = 9. What is the units digit of (d - -24)\/(2*2\/12)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t*t\/t**(-16)*t))\/t**(-3\/5))\/((t*t**(-29)\/t)\/(t*t**(25\/2)*t)) assuming t is positive.\nAnswer: t**(261\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -9 (base 16) to base 4\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 6*m**2. Let x(n) = 78*n - 268. Determine x(c(z)).\nAnswer: 468*z**2 - 268","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -213 + 325. Suppose -h - b = -4*i, -2*i + 2 = -6. What is h rounded to the nearest 10?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*b**2 - 4*b**2 + 21*b**2)*((0 - 3 + 1)*(20*b**2 + 20*b**2 - 16*b**2) + 2*b**2 + 4 - 4).\nAnswer: -1058*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 564009, 1128017, 1692025, 2256033, 2820041, 3384049?\n\"Answer: 564008*g + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 336544 a multiple of 264?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -34 divided by -87.\nAnswer: 34\/87","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*f**3 - 36*f**3 - 15*f + 19*f.\nAnswer: -56*f**3 + 4*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -13 by 11112.\nAnswer: -13\/11112","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 271 is divided by 40.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 129 is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Do -6\/25 and -4216\/19 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v - 5*d + 25, -4 = v + 5*d - 29. Suppose -3*x = -6 - v. Solve -x*j = -0*r - r - 9, -r = -4*j + 17 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*f - 26*f - 13 = 0. Let u(p) = 3*p. Let s(r) = -51*r. Let c(q) = s(q) + 18*u(q). What is c(f)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from {k: 2, a: 2, s: 6, j: 1}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -318, 0, -3 in ascending order.\nAnswer: -318, -3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 26541 a multiple of 47?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h**2 + 3*h. Suppose -5*u + 3*r = 0, 0 = 2*u - 5*u - 4*r + 29. Let i be x(u). Let q(y) = i + 2 - 2 + y. Let w(d) = d. Determine q(w(g)).\nAnswer: g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -16187454 or -16?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from srssqsarssomqssmq. What is prob of sequence mss?\nAnswer: 7\/255","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 2*z**3 - 33*z**2 + 17*z + 4. Suppose -x = -2*r + 14 + 5, x = -3. What is the smallest common multiple of r and n(16)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-3\/2)*r**(-3\/8)*r**(-1\/6)\/(r*(r\/r**(2\/5))\/r*r)*(r\/(r*r**0\/r))**44*(r**(-1\/3))**(2\/21) assuming r is positive.\nAnswer: r**(101623\/2520)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 19 and 91960.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 230*j + 115. What are the prime factors of r(13)?\nAnswer: 3, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 265086113 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -3*k**4 + 2*k**3 + 12*k**2 + 2*k. Let b(d) = d**4 - d**3 - d**2 - d. Let t(o) = -2*b(o) - w(o). What is the third derivative of t(l) wrt l?\nAnswer: 24*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 250*u - 283084 = -141*u. What is the remainder when u is divided by 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 652024 to the nearest integer?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + p = 18, 0 = 4*a - 0*p - 2*p - 20. Suppose -4*n - 3 - 5 = 0. What is the units digit of n + a + (-2)\/(-1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 26 - (2 - (24 - 55))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 8999860 divided by 295\nAnswer: 30508","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/5217 less than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a decade in months?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 20 + -12. Suppose 0 = -5*w - 2*b - 162, u*w - 3*w + 4*b = -164. Let l be 2\/10 - w\/(-10). Sort 5, l, -5 in descending order.\nAnswer: 5, l, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w + 1 = -3*c - 7, -2*c + 13 = 3*w for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 175 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (5 - 0) + (1 - 3). Let w(z) = -z + 19. Let q be w(11). Suppose f - q = -m*f. Solve -f*g = -2*i - 6, 2*i + g + 6 = 5*g for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 268882486 is divided by 1692?\nAnswer: 1690","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1012221210101 - -12?\nAnswer: 1012221210120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = z**2 - z - 5. Let i be c(5). Solve -i = -2*p - p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -7*c + 1. Suppose -a = 4*w + 5 + 5, 5*w + a + 13 = 0. What is the remainder when 65 is divided by q(w)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -3*w**2 - 22*w - 7. What is l(-7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 12.72 - 13. Let h = k - 1.62. Let r = -0.8 - h. What is r rounded to the nearest integer?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 89 minutes after 1:05 PM?\nAnswer: 2:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let 50*k**3\/11 + 43640*k**2\/11 + 34888*k\/11 + 6976\/11 = 0. What is k?\nAnswer: -872, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - (-1 - -1) - 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000022694 rounded to seven dps?\nAnswer: 0.0000023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2a590 - -3?\nAnswer: -2a58c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*o + 30 - 189. Suppose -5*z - 2*g = -37, 0*g - o = -5*z + 2*g. Solve -2*m = n - z, 8*n - 3*n = -3*m + 24 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1826*d + 0*d**2 + 1829*d - 3647*d + 3*d**2 - d**2 - d**2.\nAnswer: d**2 + 8*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -108 + 107. Let u(s) = -2*s + 5. Let f(n) = n - 1. Let i(r) = j*u(r) - 5*f(r). Let b(o) = 30*o**2. What is b(i(d))?\nAnswer: 270*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1 - -2)*(-3 - -6). Let r = 27 + a. Let j = 1430 - 1418. Calculate the greatest common divisor of j and r.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4073 + 19?\nAnswer: -4058","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*x + x + 5*x)*(-3 + 3 + 3*x**3) + 5*x - 5*x + 7*x**4.\nAnswer: 16*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 353 minutes before 7:48 PM?\nAnswer: 1:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1167, -1086, -1015, -960, -927, -922, -951, -1020?\nAnswer: -1135","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 1 - 178*w - 167*w + 346*w.\nAnswer: w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1508 is divided by (-2)\/11 - (11037\/(-22) - (-46)\/92)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 456400 and 192829.\nAnswer: 1141","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((y\/y**(-4))\/y*y)\/y**(-4))**(3\/7))**(-3\/19) assuming y is positive.\nAnswer: y**(-81\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 14.4 (b) 71 (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - (6 - 14) - 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1497 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: Suppose 0 = -5*o - j + 71259, 5*o - 71275 = 4*j - 9*j. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -411, -1701, -3843, -6831, -10659, -15321, -20811, -27123?\n\"Answer: w**3 - 432*w**2 - w + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ibbbibbb. Give prob of sequence bbib.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0 + (8\/6)\/((-12)\/486). Let p = -52 - b. Suppose m - 36 - 107 = -p*l, 0 = 2*l - 5*m - 161. What is the tens digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -588.574 to the nearest 100.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 86 divided by -8\nAnswer: -43\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 8*z - 43. Let n be q(5). Sort n, -1, 6.\nAnswer: n, -1, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1 - 6\/(-28)*-6. Sort 3, 1\/2, 0, d.\nAnswer: d, 0, 1\/2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -172 + 120. Let r be 1605\/(-10)*6\/(-9). Let q = w + r. What is the remainder when q is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -29*i**2 + 3*i. Let n(r) = -86*r**2 + 8*r. Calculate 3*n(z) - 8*x(z).\nAnswer: -26*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put together -317903480.3702 and 0.36.\nAnswer: -317903480.0102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*a + 37979 + 13645 = 0. List the prime factors of a.\nAnswer: 2, 3, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(162) + 6*-1*sqrt(162))**2 + sqrt(162) + -1.\nAnswer: 9*sqrt(2) + 4049","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 140894?\nAnswer: 2, 13, 5419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.4 + -0.1. Let z be -2*(23\/12 - 2). Suppose 12 = -3*t + 5*p, 2*t + 5 + 3 = -4*p. Which is the closest to t? (a) z (b) -1 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 68377 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 204 minutes after 10:14 PM?\nAnswer: 1:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of -338 and -2.\nAnswer: 676","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 2*b - 18 = 0. Let m(h) = -2*h + 2*h**2 + 5*h**2 + 2 - 3*h**2 - 3*h**2. Calculate the remainder when b is divided by m(2).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -8*t + 0*t**2 + 7*t**2 + 3 + 5 + t**3. Let v be g(-8). Solve 2*f - v = -0*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 390125806?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 11*q - 4. Let l(d) be the second derivative of 14*d**3\/3 - 5*d**2 - 80*d. Calculate 5*l(r) - 12*t(r).\nAnswer: 8*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*r**6 - r**5 + 1198*r**4 + 23891*r**2 wrt r.\nAnswer: -240*r**3 - 60*r**2 + 28752*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = z + 2*z + 5*s + 4, -4*s - 2 = 3*z. Let f(m) = -m - m + 3*m**2 + z*m. Let o(c) = 3*c. What is o(f(g))?\nAnswer: 9*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u**2 - 11*u + 16. Let g be c(-12). Suppose 2*s - 28 = -g*f - 2*s, -s + 3 = -f. Solve 0 = f*y - 5*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -50, -70, -112, -182, -286, -430?\nAnswer: -620","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 150624 and 1104576.\nAnswer: 3313728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the third derivative of x**5\/30 + x**4\/2 + 3*x**3 - 5*x**2. Solve f(w) = 0 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 1860*v + 421. Is o(10) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 766111 to the nearest integer?\nAnswer: 875","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kcffckfkfcnkfkc. What is prob of picking 2 c?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 - 7 = 4*v, 8 = u - 4*v. Suppose 16*s - 17*s + 8 = 0. Calculate the least common multiple of u and s.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1393478?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) 2\/9 (b) 3\/5 (c) 320 (d) -2 (e) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-2\/7)\/(y\/(y**(-1)*y*y*y)))**(1\/17)\/(((y**(-2\/11)*y)\/(y**(-2\/25)\/y*y))\/((y\/(y*y**(1\/5)\/y*y))\/(y\/y**(-6)))) assuming y is positive.\nAnswer: y**(-263638\/32725)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h\/h**(3\/8))*h**(4\/3))**(-34) assuming h is positive.\nAnswer: h**(-697\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 11.05 + -0.05. Let f = d + -15. Let t = -0.08 - 0.92. Which is the nearest to -1? (a) -2 (b) f (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 equal to -254\/3377?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 78*p**2*q**2 - p**2 - 2*p - 39*q**2 wrt p?\nAnswer: 156*q**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1166 - -1197.65. What is m rounded to the nearest ten?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -202*d = 853*d + 51626 + 83258 - 27274 for d.\nAnswer: -102","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.6 in -6, 24, 84, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2950116478 to the nearest integer?\nAnswer: 1434","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from crtrcraztr. What is prob of sequence cacr?\nAnswer: 1\/630","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2 + 3)*12\/15. Let q = -6668\/1575 + 38\/9. Let n = q + 197\/1925. Sort 2\/11, n, a in descending order.\nAnswer: a, 2\/11, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 16495 to the nearest integer?\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -59*b - 111350 - 85610 = -2521*b for b.\nAnswer: 80","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 492 and 1800228.\nAnswer: 492","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 37184?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h + 8 = 0, 19*f - 2 + 0 = 18*f + 5*h for f.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 2, w: 4}. What is prob of sequence ww?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.5667 to the nearest integer.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 552?\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -11 - 11b5190?\nAnswer: -11b51a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*f**4 + 589*f**3 + 2*f**2 - 1000*f wrt f?\nAnswer: -60*f**2 + 3534*f + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 1, 3\/7, -2\/7, -3, 737, 6?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 865155.9 millilitres in litres?\nAnswer: 865.1559","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 1213?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12566938.\nAnswer: 2, 619, 10151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i**3 + 9*i**2 - 6*i - 4. Let n be w(8). Let q be (n + 3)\/((-3)\/(-2)). Suppose -4*y - p - 12 = -37, -4*y - 3*p + 27 = 0. Solve y*u + q = 4*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -92019 less than -92?\nAnswer: 91927","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 0 - 61658069?\nAnswer: -61658069","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 19324, 19316, 19316, 19330, 19364, 19424, 19516?\nAnswer: 19646","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5a36 (base 15) in base 11?\nAnswer: 13453","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-20 + 24 - 23) + 48 - (1 - 2)?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 8399 divided by 84\nAnswer: 8399\/84","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 127601\/34629 - 188\/51. Which is greater: 1 or s?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1135820 rounded to the nearest one hundred thousand?\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 59 + -59 + (-5 + -2 - -2) - 12.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u - 9. Let s(y) be the first derivative of y**2 + 26. What is s(k(v))?\nAnswer: 2*v - 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -28 in 18, -2.511, -0.5, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is (442\/(-51))\/(2\/(-27)) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -572 or -0.326?\nAnswer: -0.326","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**2\/5 - 3*x\/5 + 4\/5.\nAnswer: -(x - 1)*(x + 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 6*q**2 - q - 1. Suppose 2*k + 3*k = -145. Let c = k - -40. Suppose -4*b + 16 = 0, 0*z + 3*b - c = -z. Determine n(z).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 - 8324762523973\nAnswer: -8324762523972.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2957 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/382973 equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 + 4*p + 4 - 6*p)*(4*p + 1025 - 1021 + 0*p).\nAnswer: -8*p**2 - 24*p - 16","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 6, y: 4, m: 3}. Give prob of picking 1 l and 2 m.\nAnswer: 9\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 2*x = 108511, -180877 = -5*l - 30*x + 27*x. List the prime factors of l.\nAnswer: 61, 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11 - 103230120230?\nAnswer: -103230120213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = r - y, 80*r - 75*r + y - 24 = 0. Suppose 15 + 33 = 3*n. Calculate the remainder when n is divided by r.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5\/8 of a litre?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -37*q + 185. Let v be s(5). Solve 13*r + 7 + 58 = v for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:50 PM and 9:36 PM?\nAnswer: 526","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3317*u - 3*m + 16 = 3319*u, 3*m = 24 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5365075574?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 15438 = -15730. What is the highest common divisor of w and 29054?\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 385 and 681345.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = -5*f - 2*z, f - 4 + 1 = -z for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 175375*d - 175374*d - 43 = 4*a, -5*d - 16 = a for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3.6 + 3.68. Let g = -0.0799969 + o. What is g rounded to six dps?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -44 + 346*b**2 + 346*b**2 - 38 + 351*b**2 - 1050*b**2 as m*b**2 + f + a*b and give f.\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 + 3 = -6*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = -15*u - 139 + 181, 3*u + 5*p - 42 = 0. Let k = 0.1 - 0.6. Let o be 13\/(-4) - (-1)\/4. What is the closest to o in k, -2\/3, u?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 210266 + -5?\nAnswer: 210261","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eighteen fifths of a litre?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b**3 + 6*b**2 - 2*b - 2. Calculate the remainder when 23 is divided by t(5).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2520 divided by -24?\nAnswer: -105","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 103, 108, 109, 106, 99?\nAnswer: 88","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 11627377 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 670694.44 rounded to the nearest one hundred?\nAnswer: 670700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve g = -m - 78 + 83, 47*m - 133 = 4*g for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2974866862?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -33*p + 1001. Let n be k(30). Let l(q) be the first derivative of -n + 3*q + 1\/2*q**2. Determine l(7).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0017691 rounded to three decimal places?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 41*d - 1383437 + 1383437 - 4*d**2 - 21*d**2 in the form x*d**2 + v*d + r and give x.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sq when two letters picked without replacement from {s: 6, n: 4, o: 1, q: 5}?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.0414? (a) -3 (b) -709 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -270328, -270237, -270146, -270055, -269964, -269873?\nAnswer: -269782","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -17*c**3 - 5*c**2 - 5. Let m(o) = -27*o**3 - 8*o**2 - 13. Let x(k) = -40*k**3 - 12*k**2 - 20. Let g(d) = 8*m(d) - 5*x(d). What is -5*g(f) + 4*i(f)?\nAnswer: 12*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 5*r - 79 = k, 0 = 2*k + 2*r - 26. Suppose 3*g = 5*y + 88, -g + k = -2*y - 13. What are the prime factors of g?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1108080 and 144?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 520631 is divided by 573.\nAnswer: 347","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z + 10. Let b be g(-14). Let i(u) = -22969*u**3 - 3*u**2 - 9*u - 4. Let j be i(b). What is j rounded to the nearest one hundred thousand?\nAnswer: 1500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((4*h - h - 2*h)*(0 + 5 - 3) + 3*h + 0*h - h + 3 + h - 3)*(181296 - 6099*h**2 - 181296) to y + k*h + z*h**3 + v*h**2 and give z.\nAnswer: -30495","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 5, 0.91, -0.0776, 0.4, 2\/15?\nAnswer: -0.0776","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 2*f**2 + 82*f + 485. Let z be t(-7). Solve 7*w + z = -5*g, 5*w - 2 + 12 = 0 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-14)\/(-4) - (-51)\/(-34). Suppose l + 3*h = 0, 24 = l - 2*h - 3*h. Solve p = -j*p - l for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -44 - -36.9. Let w = -28.94 + 21.44. Let g = q - w. Sort -2\/3, g, -4, -3.\nAnswer: -4, -3, -2\/3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -31\/43350 and -121\/1200.\nAnswer: 346800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -52, 3, 8, -3, -4.\nAnswer: -52, -4, -3, 3, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3 - 370792?\nAnswer: -370789","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 96 + -201. Is 34154*(-15)\/l*(-14)\/(-4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g**3 - 14*g**2 + 13*g + 10. Let d(p) = -3*p**3 + 41*p**2 - 38*p - 29. Let s(j) = -j - 37. Let y be s(-20). Let z(o) = y*c(o) - 6*d(o). What is z(6)?\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 14605 - 262955\/18. Find the common denominator of t and 157\/90.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -101010110 - -11?\nAnswer: -101010022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the third derivative of 0*m + 0 + 1\/8*m**4 + 7*m**2 + 0*m**3. Let d(l) = -3*l**2. What is n(d(f))?\nAnswer: -9*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-18)\/(-50))\/((-36)\/6480*-54)?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 13*y + 7. Suppose 40*c + 15 = -2*j + 39*c, j - 5 = 2*c. Let n(d) = -7*d - 4. Calculate j*n(m) - 3*s(m).\nAnswer: -4*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fm when two letters picked without replacement from {y: 1, f: 3, g: 2, m: 2, q: 4}.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 0\/(-3)*-16*6\/(-192)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 277678 is divided by 120.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 2*f + 702 = 0, n + 4*f - 476 - 226 = 0. What is the highest common factor of 24 and n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/(-150) + (-920)\/(-1000)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6239 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3597 is divided by 1193.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0 - (3*(-1)\/(-3) - 4). Suppose -k = 6*m - 7*m. Let p(b) = 2*b - 3. Let a be p(2). Solve -2*i + m*i = -a for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1479*c - 6 = -1481*c + 4*s, 4*c = 13*s + 32 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-5)\/3*6\/30. Let h = -105.3 - -105. Which is the third smallest value? (a) g (b) -1\/8 (c) -0.4 (d) h\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1554 + -779. Suppose -6*p + p = i. Is p\/(-9) - 8\/36 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 3*d - 3. Let b(k) = 139*k**2. Calculate f(b(w)).\nAnswer: 417*w**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence enk when three letters picked without replacement from kenkknkeeke.\nAnswer: 4\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2978.8 + 2978.4. Let w = 0.46 - 0.06. What is the nearest to 0.6 in w, -5, k?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 891552?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 677085 by 15.\nAnswer: 45139","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j**3 + 14*j**2 - 14*j + 23. Determine l(13).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1613679 = 34*z + 1613135 for z.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 11*h**2 - 15*h - 512. Let t(u) = 9*u**2 - 12*u - 513. Determine -4*i(w) + 5*t(w).\nAnswer: w**2 - 517","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00557289 rounded to 5 decimal places?\nAnswer: 0.00557","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 21\/8 + -475\/184. What is the biggest value in 0.3, -2\/11, x?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -65*b**2*m**3*s + 5*b**2*m*s + 2*b*m*s + 33575*m**3*s - 4124*m**2*s + 8*m**2 wrt m.\nAnswer: -390*b**2*s + 201450*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*y - 43*y = 6. What is the common denominator of 31\/18 and (y + 1*134)\/(54 - 48)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47*r = -46*r + 3 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 150711646 to the power of 1\/4, to the nearest integer?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 3123 - 3123 + 769*j as d*j + b and give d.\nAnswer: 769","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 4*h - 7 = 0, -16 - 15 = -3*q - h. Let v(d) = -d**3 + 16*d**2 - 24*d + 2. What is the lowest common multiple of v(2) and q?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/z**1)**31 assuming z is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -671 (base 11) in base 6?\nAnswer: -3420","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 12852 and 8876.\nAnswer: 4074084","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 20*c**3 + c**2 - 4*c - 4. What is j(-1)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*m + 45810 - 153160 = 0. What is m rounded to the nearest 1000?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 575173, 1150349, 1725525, 2300701?\nAnswer: 2875877","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 34 + 70?\nAnswer: a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w, 1 u, and 1 m when three letters picked without replacement from xuuxmwu?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*((sqrt(133) - (-1*sqrt(133) - sqrt(133))) + sqrt(133))*4*-6)\/((sqrt(252)*-2 + sqrt(252))\/(sqrt(9)*2*-6)).\nAnswer: 2880*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5911765161 to the power of 1\/2, to the nearest integer?\nAnswer: 76888","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 15387 and 21631?\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -13 in 105023, -4, 2, 1, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m**2 - 17*m - 59. Give o(-12).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1*84\/4*1. Suppose 4*z + 5*m = 2*z + 47, -42 = -3*z + 2*m. Suppose -q = -z - j. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7916010*o**4 + 20*o**2 - 40*o + 209 wrt o.\nAnswer: 189984240*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -302560 divided by -10\nAnswer: 30256","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 291790 to the power of 1\/2, to the nearest integer?\nAnswer: 540","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1)\/3 + (-1482)\/(-18) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 2*f**3 + 2*f - 6*f**2 + 7 + 7*f**3 - 5*f**3. Let v(u) = u**2 - 6*u + 7. Let w be v(6). Is s(w) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 20 (b) 2\/9 (c) 3 (d) 3\/50\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 0*r + 9 = -3*r, -q - 11 = -r. Let c be 160\/6 - q\/(-9). Let l = -13 + c. Calculate the remainder when 49 is divided by l.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 4*o + 140 = 0, 0*o + 16 = -4*o. What are the prime factors of h?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z**13*z*z*z)\/z*z)\/(z*z**(-3\/22)\/z))\/(z**(-22)\/z**(-14)) assuming z is positive.\nAnswer: z**(531\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5 + 23 + 179*s**2 - 16 - 3*s**2 + 0*s**2 + 2*s**2 + (5*s + 0*s - 3*s)*(s - 3*s + 4*s).\nAnswer: 182*s**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eef when three letters picked without replacement from wzfffzezwiifwifwiw?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 17203?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 o when three letters picked without replacement from ohhhohoh?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 483, 506, 539, 582, 635?\nAnswer: 698","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 56307328 and 2816?\nAnswer: 1408","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bf when two letters picked without replacement from {b: 12, f: 2}.\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: -8.6*-8\nAnswer: 68.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7*m**2*s**3 - 9*m**2*s**2 - 3*m**2 - 3*m*s**3 - 4*m*s**2 - s**5 wrt s?\nAnswer: -42*m**2 - 18*m - 60*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 42585 is divided by 39?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 3\/50 of a meter?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 5*i - 211 = 18, -3*m = -4*i - 687. Suppose -6*q = -m + 79. Calculate the highest common factor of 25 and q.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9\/(-1)*1\/(-3)*(-201)\/(-67)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + 224\/(-16) + (-548)\/(-60)?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 38007 and 1697646?\nAnswer: 5092938","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -1\/8 (b) 13 (c) 2\/3 (d) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 7355 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -1711.3612 to zero dps.\nAnswer: -1711","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3732.\nAnswer: 2, 3, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1325*m**5 + 4 - 8 - 21*m - 22*m - 6 + 4*m wrt m?\nAnswer: 26500*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -92 (base 14) to base 4.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 794147044 a multiple of 61?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 times -48?\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*m + 35*m**2 + 3*m - 32*m**2.\nAnswer: 3*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -14*c**2 + 2919718*c - 834204.\nAnswer: -2*(c - 208551)*(7*c - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the third derivative of -s**5\/30 - 5*s**4\/6 - 25*s**3\/3 - 11*s**2. Factor p(f).\nAnswer: -2*(f + 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*g + 76 - 32. Let i = 3 + -5. Put g, i, 3, 9 in ascending order.\nAnswer: i, 3, g, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -26 + (-14 - (-11 - 18 - -4))\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in -12, 3\/7, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + 2*sqrt(11))*2 + (-6*(sqrt(11) + -1 + sqrt(11)) + sqrt(11))*-6)**2.\nAnswer: -5040*sqrt(11) + 55196","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 82917228 and 18020.\nAnswer: 3604","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h**3 - 12*h**2 - 13*h - 15. Let p be c(-9). Let u = p + 264. What are the prime factors of u?\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*r - 1 + 1)*(2 + 4 - 3) + (-2 + 3 - 2)*(-2*r + 2 - 2 + (4 - r - 4)*(5 - 2 - 1) + 6 - 4*r - 6).\nAnswer: 14*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 7*o**2)*(3 - 3 - 1).\nAnswer: -7*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (15231\/25385)\/(-354*(285\/100 + -3))?\nAnswer: 2\/177","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - -30) + (-11716)\/580 - 5\/15*33.\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 2*u + 3. Let v be p(-2). Let l be (1 + 0)\/(v\/(-4)). Suppose 5*y - 5*y = 6*y. Solve 12 = 4*i, 0 = -3*a - y*a + l*i - 21 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 266 and 1121?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 94362343 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -642 + 663. What is the hundreds digit of (-1 + 14\/q)\/(2\/(-6792))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000828 to 4 decimal places.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 3003078893 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5570763 + 7852642. Let q = x - -4358121. Round q to the nearest one million.\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1acb1b - 23a?\nAnswer: -1b0058","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0*2\/4 - 232\/(-3040). Let p = o + -1\/38. What is the common denominator of p and (-425)\/230 - (-1)\/1?\nAnswer: 460","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (3 + 1 - 3)\/((-2)\/(-8)). Let v be 2\/g + 2 + 45\/(-6). Put v, 1, 5, 4 in descending order.\nAnswer: 5, 4, 1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -852*j**2. Let i(c) = -c**2 - 143*c. What is i(d(a))?\nAnswer: -725904*a**4 + 121836*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h**2 - 6*h - 1. Let y be w(6). Let r be (2 - y)*(-1142)\/30. Let m = r - -115. What is the second biggest value in m, 0.5, 2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1 + (-4 - 588))\/(-1). Let w = -303 + o. Let n = w + -133. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 8*f = -40. Suppose -4*l + 24 - f = 0. Suppose 5*x + 4*g = -59 + 352, 3*x + l*g = 171. What are the prime factors of x?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (5 - -77 - 80)\/((-2)\/(-51)). Let l be (67 + 1)\/(2 - 1). Calculate the greatest common factor of l and h.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.05, 1.8, 3, -3, 0 in ascending order.\nAnswer: -3, 0, 0.05, 1.8, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -12*z - 2 + 14 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 4 = 3*b. Suppose -3*d + 6 = 3*o, -2*o = -0*d + 5*d - 19. Suppose -b*u - d*s + 44 = 0, 0*u + u - s = 15. What is the units digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 17924 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.3, 10\/3, 306822?\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -k + 3 - 3 - k**2 - 152*k as h + o*k**2 + u*k and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4*(-14 - 4050\/(-120)).\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4410660 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 469 - 6564 = -5*r. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 591365 to the nearest integer?\nAnswer: 769","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-205)\/6 - 1\/(-2). Let v(b) = -2*b**2 + 11*b + 6. Let m be v(8). Let f = m - q. Is f less than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*o**5 + 3444*o**4 - 905760*o**3 + 66259600*o**2.\nAnswer: -4*o**2*(o - 370)**2*(o - 121)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-2\/7)\/g**13)\/(g**(-18)\/(g*(g\/(g\/(g**(-2\/21)\/g)))\/g*g*g)) assuming g is positive.\nAnswer: g**(118\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1702842 + 26506152 = 127*b - 63027806. Round b to the nearest ten thousand.\nAnswer: 720000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 4*x - 1. Calculate o(-8).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2242651 is divided by 62.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**3*y**(3\/2) assuming y is positive.\nAnswer: y**(9\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 1\/20 of a millimeter?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the first derivative of t**3\/3 + t + 9. What is the units digit of h(7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + (29 - 17 - (6 - 51 - -17))?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 82 and 14391?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3 + -8*2 + 2. Let g(k) = k + 10. Let s be g(t). What is the remainder when 29 is divided by (2 + -5 - s)*-5?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 252 and 147?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 822 and 2673966?\nAnswer: 822","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dy when two letters picked without replacement from {u: 1, j: 1, d: 1, y: 2}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*b**3 + 3*b**3 - 4*b**3 + (-7*b + 8*b + 42*b)*(2*b**2 + 0*b**2 - 4*b**2).\nAnswer: -83*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 9827823 to the power of 1\/7, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 308\/5 - 62. Suppose -3*x + 8 = -x - 5*m, x - 3*m - 5 = 0. Which is bigger: q or x?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -7761, -13131, -27695, -56049, -102789?\n\"Answer: -766*r**3 - r**2 - 5*r - 6989","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 11 = -0*v. Suppose v = n + 7. Let m(j) = -2*j**3 + 10*j**2 - 7*j - 2. Let k be m(4). Solve 0*u + n*u - 8 = w, 0 = -4*w - k*u + 4 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ebevexxbbxxxxx. Give prob of sequence bxx.\nAnswer: 3\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 22 = 14. Suppose -g*p + 31 = l, 3*p + l = -4*l + 36. Is p a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 9930 = 6*s - 2*s, 7970 = 4*y - 2*s. Suppose -f + 6*f = -y. What is the common denominator of -35\/2 and 4\/14 - f\/126?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2 + -1 - -3 - 0) + -1\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the first derivative of -2*z**3\/3 - 52. Let s(u) = -275*u - 330. Let g(x) = x + 5. Let b(j) = 66*g(j) + s(j). What is d(b(v))?\nAnswer: -87362*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 62 is divided by (-96)\/(-15)*5\/2?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -3993 and 0.1.\nAnswer: -3992.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a**3 - 3*a**2 + 4*a - 1. Let z(p) = -3*p**3 + 10*p**2 - 13*p + 2. Let o(j) = 7*y(j) + 2*z(j). Suppose -4*l + 16 = 4*l. What is o(l)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 52146, 52208, 52270, 52332, 52394?\n\"Answer: 62*g + 52084","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -349, 685, 3157, 7067, 12415?\n\"Answer: 719*y**2 - 1123*y + 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3937848*k + 3937824*k - 7875621*k.\nAnswer: 51*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 1. Let m(i) be the first derivative of -7*i**2 + 42*i + 8. Let j(r) = 42*h(r) - m(r). Let y(o) = -2*o. Calculate j(y(x)).\nAnswer: -28*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1522349?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/6 (b) -0.87 (c) 0.072\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 1, i: 1, o: 1, q: 1, e: 2, j: 1}. Give prob of picking 1 q and 2 e.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -161*i = 12323 - 8357 + 10041 for i.\nAnswer: -87","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = -2*u - 4*p, 3*u - 10*p = -15*p - 19. Let o(m) = 5*m + 2. Calculate o(u).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(-6*(sqrt(432) + 1) + (sqrt(432) - sqrt(432)*2*2)) + 3)**2.\nAnswer: 35640*sqrt(3) + 875889","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 10 = 7*d - 2*d, 4*o - 5*d = -12. Solve 0 = 3*c - 2*b - o, 4*c = -c + 5*b + 10 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y\/y**(6\/19)*y)\/(y*y**(-4\/7)\/y*y))\/(y**(1\/18))**(25\/4) assuming y is positive.\nAnswer: y**(18275\/9576)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 628033?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-18)\/(-24)*4 + -1. Solve z = -m + c, 0*z + z - 5*m = 8 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18)\/(22\/(-33)*3*4\/4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -4 - 12*l - 2 - 6 + l**2. Let w be f(13). Let s be (1000\/3)\/w*-12. Round s to the nearest one thousand.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -564125081, -564125079, -564125077, -564125075?\n\"Answer: 2*g - 564125083","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 2 + 495 = 0. Let b = x - -814. Suppose 3*j = b + 252. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 10) to base 14.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4.008 - 9.008. Which is greater: -1\/128 or t?\nAnswer: -1\/128","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve d - 55423*g + 55422*g + 17 = -2*d, 5*d - g = -5*g for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the second derivative of k**4\/12 - k**3\/6 + 8*k. Let a be v(8). Calculate the highest common factor of a and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 4*z**2 - 15*z - 171. Does 9 divide d(13)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 336*k**3 + 576*k. Let i(s) = -21*s**3 - 36*s. Let b(g) = -33*i(g) - 2*u(g). What is the second derivative of b(h) wrt h?\nAnswer: 126*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -594756 + -5?\nAnswer: -59475b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = 8*t - 15, -s - 5*t = -18. Let z(r) = -r**2 + 12*r - 25. Let g be z(10). Let i = -1\/6 - -5\/6. What is the closest to i in g, -1, s?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than or equal to -4758\/375649?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 545*u**3 + 12*u**4 + 1 + 543*u**3)*(4 - 21 - 2).\nAnswer: -228*u**4 + 38*u**3 + 76","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bb when two letters picked without replacement from bbbbbbblbblbblb?\nAnswer: 22\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 v and 1 f when four letters picked without replacement from {v: 4, l: 1, m: 1, o: 2, f: 1}.\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 3a (base 15) to base 11\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -q + 2 - 2 + (-1 + 2 + 0)*(2 + q - 2) - 4*q + q + 0*q + 15*q + 6 + 1 - 5 to the form p*q + c and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 329 and 0.3?\nAnswer: 98.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1770\/(-472))\/((-81)\/12)?\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1039872?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-80)\/9*(-11)\/((-528)\/36).\nAnswer: -20\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 1, v: 2, x: 2, l: 1, f: 1, w: 1}. What is prob of picking 1 w, 1 v, and 1 l?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, -305942, 1.\nAnswer: -305942, -8, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 20013 (base 5) to base 7\nAnswer: 3445","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -46 - -31. Let n be ((-576)\/(-320))\/(-2 + -1). Sort -1\/2, -2\/3, a, n.\nAnswer: a, -2\/3, n, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/(-20))\/((-23)\/(1840\/32)*42\/28)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7, 2, 13, 26, 41, 58?\nAnswer: 77","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-2\/7)\/x)**16*x**(-1)\/x*(x**(-2)*x*x*x)\/x)**(2\/33) assuming x is positive.\nAnswer: x**(-316\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(-3 + (15\/5 - 1))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*k + 6*k + 20. Let w(h) = -h**3 + 9*h**2 + 11*h - 5. Let m be w(k). Let p be 123\/(-210) - (-4)\/m. Does p = -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 325768210 to the power of 1\/6, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -69\/16 and -67\/94?\nAnswer: 752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*l - 9*l**5 - 3*l - 6*l wrt l.\nAnswer: -180*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 - (3 + -4 + 4) - -3\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -19767*o**2 + 105*o + 16836. Let r(s) = -2824*s**2 + 14*s + 2405. Let z(g) = 2*k(g) - 15*r(g). What is the derivative of z(t) wrt t?\nAnswer: 5652*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4.1 - 0.9. Let x = 83.243 - 82.243. What is the second biggest value in k, 2, x, 5\/6?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 271917 is divided by 60?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k + 30*k = 140 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t**2 + 43*t + 95. Determine v(45).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -5*k - k + 2*k + 2*k - 8. Suppose -4*c - 40 = c. List the prime factors of h(c).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the first derivative of -2*l**4 - l**2 - 4 - 7 + 4 - 5. What is the second derivative of k(g) wrt g?\nAnswer: -48*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 315 (base 11) to base 14\nAnswer: 1d1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(77)\/sqrt(700) + 1).\nAnswer: 2*sqrt(11)\/5 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18 - 18 - 1667*y**2.\nAnswer: -1667*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -35734.84657 to the nearest one hundred.\nAnswer: -35700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3.99 + -1.01. Let q = 4.6 + -5. What is the fourth biggest value in q, h, 0, 0.2?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 455*f - 420. Does 35 divide z(11)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1345784 is divided by 1524?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 87136982923 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) -0.2 (b) 25\/6 (c) -202\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = -z + 10. Let r be ((-22)\/4)\/((-418)\/456). Let b(u) = -3*u**2 + 7*u - 6. Let h(i) = -3*i**2 + 6*i - 5. Determine r*h(k) + z*b(k).\nAnswer: -3*k**2 + k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -86.92 rounded to the nearest 10?\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 3 - 1 = 0. Let l = 29.1 - 2.1. Put l, -0.4, v in descending order.\nAnswer: l, -0.4, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/w**(2\/7))**(2\/147))**(39\/5)*w**(-9)*w**(-1\/3)*(w*w**(2\/3)\/w*w)\/(w\/(w\/(w**(-2\/7)*w))) assuming w is positive.\nAnswer: w**(-8546\/1029)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 123511 divided by -109.\nAnswer: -123511\/109","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 23\/3 of a century?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 3*x + 4. Let y = -50 - -54. Determine i(y).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 630 and 516810?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 7*p - 35. What is y(15)?\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-24)\/21 - 25058\/(-19635).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -1, -2, 38, 234.\nAnswer: -3, -2, -1, 38, 234","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 17, j: 2}. What is prob of picking 1 j and 2 f?\nAnswer: 16\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 15*(4 - (-22)\/(-6)). Suppose y*w + 0 = -25. Sort w, 3, -1 in decreasing order.\nAnswer: 3, -1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -67*u + 48 = -63*u - 4*j, 4 = 5*u + 3*j for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x**3 - 2*x**2 + 1. Let u(z) = -21 + 20*z - 108*z**2 + 53*z**2 + 70 + 56*z**2. Let i be u(-3). Calculate b(i).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 168002763707 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1 and 4.5.\nAnswer: 4.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*b = b + 1098. Is b a multiple of 61?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-34 - 1333\/31) + 4 + 7?\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 185*w - 63*w - 94*w = 56 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/93, 25745, 1?\nAnswer: 2\/93","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -43.005 (b) 0.4 (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 61*u + 62. Let m(d) = 20*d + 21. What is 3*g(l) - 8*m(l)?\nAnswer: 23*l + 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 10899645*p**5 - p**4 + 2*p + 150330312?\nAnswer: 217992900*p**3 - 12*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-3\/4))**(-8\/3)\/(j\/(j*j*j\/((j*j*j\/(j*j\/((j\/j**(-1\/3))\/j)*j))\/j*j))*j)**(2\/103) assuming j is positive.\nAnswer: j**(622\/309)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8*z**4 + 2*z**3 + 213*z**2 + 6021*z.\nAnswer: 96*z**2 + 12*z + 426","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*v + 542935 = -3353245. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -9.666? (a) -1 (b) 3 (c) 4\/207\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 99768413 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 16*n + 4. Let q(g) = -3*g - 1. Let l(o) = 11*q(o) + 2*x(o). Let a(p) be the first derivative of p**2 + 4*p - 16. What is -3*a(u) - 4*l(u)?\nAnswer: -2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((sqrt(112) - (sqrt(112) + -1 + sqrt(112) + -2)**2) + -4 + -2).\nAnswer: -2778 + 312*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-9 + 0)*8\/6. Let t = s - -6. Let p(n) = -5*n. Is p(t) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4809 < 37\/8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -178696426 + 249817620479\/1398. Let k = f + 13\/233. Calculate the common denominator of -45\/496 and k.\nAnswer: 1488","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 207375 - 207373 - 1657*a + 6072*a to w*a + g and give w.\nAnswer: 4415","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 26630856 to the nearest integer?\nAnswer: 5161","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7*(2 + 0 + -1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 9680 and 3696?\nAnswer: 203280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of -5 + -2 - ((-10936)\/16)\/(2\/4) and 40?\nAnswer: 1360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -419 - -1189. Does 14 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-2\/47)*k)**(36\/7)\/((k**(-30)*k*k)\/(k*k**(-34)*k)) assuming k is positive.\nAnswer: k**(304\/329)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2.86, 0.4, 1\/6 in decreasing order.\nAnswer: 2.86, 0.4, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 718307484?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -13*j**3 - 90*j**2 + 13*j - 21. Let s(p) = -16*p**3 - 91*p**2 + 14*p - 21. Let k(y) = -3*s(y) + 4*u(y). Find the second derivative of k(z) wrt z.\nAnswer: -24*z - 174","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -31 - 3.595.\nAnswer: -34.595","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 6.14 and 0.07?\nAnswer: 0.4298","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15159\/12 + 9\/((-360)\/370) + 9 is divided by 25.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*c + 70 = -c. Suppose 0*g = -g + 4*v - c, 23 = -4*g + 5*v. Is (-1 + -316 - -3)\/g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 363525?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Do -0.1 and 0.2543229 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -11*b**2 + 18*b + 73. Determine m(-2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 92 = -2*w, -4*x - 210 = 5*w + 19. Let z be (-4)\/12*x + 3. Factor 20*s + 5*s**2 + z*s - 35*s.\nAnswer: 5*s*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 190.199999492 - 190.2. Round d to 7 dps.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -223244 or -223263?\nAnswer: -223244","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4*12\/(-8)*(0 + -60)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -28945747, -57891490, -86837233, -115782976, -144728719, -173674462?\n\"Answer: -28945743*r - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(v*v*v\/v**10))\/(v*v**(1\/2)))**(-30) assuming v is positive.\nAnswer: v**(-195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1796 - -218. What is the highest common divisor of m and 1166?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1731 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 value of 2 + -9 + 0 - (-3 - 0)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1368*r - 99*r - 139*r + 1004*r.\nAnswer: 2134*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u**2 + 2062*u - 2064 = 0. What is u?\nAnswer: -1032, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-l + 4*l - l)*(5*l - 3*l - l) - 4*l**2 + 2*l**2 + 3*l**2 + (4*l + 3*l - 6*l)*(-17*l - 3*l - 2*l).\nAnswer: -19*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cpc when three letters picked without replacement from {p: 1, k: 6, e: 2, t: 4, o: 3, c: 4}.\nAnswer: 1\/570","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y - 1. Let a(v) = -v + 3. Calculate -a(c) + r(c).\nAnswer: 2*c - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/87 and 7\/4878?\nAnswer: 141462","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -69*r - 15 = -72*r. Suppose 5*k + 15 = -5. Put r, -5, k, -22 in increasing order.\nAnswer: -22, -5, k, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 4265, 4274, 4281, 4286, 4289, 4290, 4289?\n\"Answer: -k**2 + 12*k + 4254","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4 - 3. Let i = -5 + 2. Which is greater: i or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m**3 - 6*m**2 - 9*m - 7. Let p be k(7). Let r(o) = -o**3 - 21*o**2 - o - 16. Let z be r(p). Solve 0 = 3*g + 4*w + 13, 3*g - 5*w - 18 = z*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 8930 to the nearest one thousand.\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*c - 14*c = -45. Solve 5*m + l + c = 0, 3*m + 3*l = m - 19 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.09 and 2746756.\nAnswer: 2746755.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1923*v + 49 - 1923*v - v**2.\nAnswer: -v**2 + 49","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -86*t - 100*t = -78*t - 1296 for t.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 minutes before 4:16 AM?\nAnswer: 3:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sum 4 and -312.86.\nAnswer: -308.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -13, -17, -180 in descending order.\nAnswer: 5, -13, -17, -180","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (-4*(-4*-1*sqrt(95)*-2)\/(-6*(sqrt(605) + sqrt(605) + sqrt(605)*1))*-1)**2.\nAnswer: 24466\/9801","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 88 and 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 9306 and 91509.\nAnswer: 549054","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5 + 3. Let s = y + -3. Let c = 8 - s. What is the biggest value in 2, -4, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d**3 - 8*d**2 + 9*d + 3. Calculate the remainder when 50 is divided by t(7).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/15, 111\/91, -0.44 in decreasing order.\nAnswer: 111\/91, 2\/15, -0.44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2 - -2. Suppose 7 = 3*i - t + 6*t, 4*t = -4. Suppose -4*y - 2*k + 350 = 0, y - i*y - u*k + 265 = 0. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*r**2 - 360629*r + 360629*r + 17)*(12 - 12 - 4*r).\nAnswer: -24*r**3 - 68*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14340354 is divided by 818?\nAnswer: 814","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 4032168 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -13\/347745 and 13\/1912.\nAnswer: 2781960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4.048 and 4?\nAnswer: -16.192","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - j = -34. Let w = j + 85. Let v = w - 22. What are the prime factors of v?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5374 to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/24 + 4043\/(-312) + 13?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 6*s - 2*i = 25, 0 = 3*i + 15. Let c(n) be the second derivative of 0*n**5 + 0*n**s - n - 1\/60*n**6 + 0 + 1\/12*n**4 - 1\/4*n**2. Factor c(y).\nAnswer: -(y - 1)**2*(y + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3012 + -3?\nAnswer: 3003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrrryyryyyryyryrry. What is prob of sequence yrr?\nAnswer: 9\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 18807?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 6\/(-11) + (-200)\/(-165). Factor -m*o - 1\/3*o**2 + 0.\nAnswer: -o*(o + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 27300?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 6785774 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: 6\/8*(-13)\/(-78) - (-69)\/24\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2.0796 + 2.1196. Let j = -7 + 2. Which is the closest to 2\/7? (a) 0.3 (b) 3 (c) h (d) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -4\/3, 28.7, -4, 0.4, -0.001011, 5, 3?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1210049769?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 3 + 1 + (-3 + 2 + 2)*(3 - 3 + 1) + 1 - 5 + 2 + (-4 + 0 + 5)*(3 + 2 - 3))*(-3 + o + 3) - 4*o + 3*o + 31*o.\nAnswer: 29*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3, -1064, -4, 0.9?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -260 + 358. Are q and 98 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 155385818*o**2*w + 8921845*o*w - 4*w wrt o.\nAnswer: 310771636*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y**3 + 29*y**2 - 2*y - 48. What is a(29)?\nAnswer: -106","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 3 p when four letters picked without replacement from {c: 7, h: 4, p: 7}?\nAnswer: 49\/612","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 533.047ml?\nAnswer: 0.533047","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 454\/8 + (-11)\/(-44) is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 3 - 1 = 0. Let y be 5*4\/10 + r. Let h(f) = 4*f**3 - 3*f**2 - 5. Is h(y) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2509604656?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 10764 and 666.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -12*u + 1. Is m(-2) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is d6 + -e9899?\nAnswer: -e97c3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 108?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 40\/11 and 47\/18412?\nAnswer: 202532","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j = -4*p + 42, -5*j + 50 - 41 = -6*p + 12 + 52 for p.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - (-2 + (13 - 9)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 77\/30 and 89\/209505.\nAnswer: 419010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/(2\/(-4)) + 225 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -2*y**2 - 18*y - 8. Let k be t(-8). Suppose k = -o + 3*o. What are the prime factors of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 128845?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7564435.\nAnswer: 5, 727, 2081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.241 + -1.141. Which is the closest to 1? (a) 0.3 (b) 1\/4 (c) p (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 2*g**2 - 4*g - 9. What is m(-4)?\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 2 - 1 - 2. Let n(l) = -2*l**2 - 1. Calculate 2*a(w) + n(w).\nAnswer: -2*w**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 10*o**2 + 44*o - 917.\nAnswer: 20*o + 44","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 5 = v, -5*q + 2*v - v + 19 = 0. Suppose 4*u - 2*l - 20 = 0, 0 = 3*u + q*l + 4 + 3. Solve -u*f = -6 - 3 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1667, -3280, -4941, -6674, -8503?\nAnswer: -10452","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1, 34, 77, 136, 217?\n\"Answer: n**3 - n**2 + 29*n - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 3*r = -4, 0 = -6*y + 5*y + 4*r + 13. Solve y*b - 38 = -43 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 3*g**2 + 6*g - 7. Let s = 5157 - 5156. Give o(s).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - n + 2 = 0, 0 = z + 2*z - 5*n + 10. Let c be z\/(4\/(4\/(-2))). Find u such that -2\/9*u**3 + 0 + 0*u - 4\/9*u**4 + c*u**2 = 0.\nAnswer: -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p**2 + 10*p - 17. Let u(v) = -v**2 + 3*v + 2. Let l be u(5). Calculate the least common multiple of (10\/l)\/((-1)\/8) and j(-13).\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -31 - -36. Let m = 2.3 + -8.3. Sort m, t, -3 in ascending order.\nAnswer: m, -3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the second derivative of -h**4\/12 + 11*h**2\/2 + 8*h - 6. Give v(0).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 19*f**4*i**2*z**3 - 4*f*i**2*z + 2*i**2*z**3 - 8*i*z**3 - 9*i*z**2 with respect to f.\nAnswer: 76*f**3*i**2*z**3 - 4*i**2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the first derivative of g**7\/840 + g**6\/60 - g**5\/60 + g**4\/24 - g**3 - 3*g**2 - 55. Let s(o) be the third derivative of d(o). What is s(-6)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 21 = -x, 4*x - 3*x = -3. Let n(u) = u**3 - 4*u**2 - 8*u + 8. Determine n(q).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1130 is divided by 54.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 3\/7, 2\/13, 25, 0.5, -20, -0.09?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*v**3 + 6*v**3 - 6*v**3)*(2 + 0 + 0) - 18*v**3 + 5 - 5.\nAnswer: -6*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (15 + -14)*(1 + 4). Let j(a) be the third derivative of 1\/60*a**s - 5\/24*a**4 + 0*a + 0 + 0*a**3 - 4*a**2. Find the second derivative of j(g) wrt g.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w**3 - 9*w**2 - 9*w + 3. Let r be f(10). Let g be r\/3 + (-2)\/(-3). Let x = g + -8. Which is greater: -2 or x?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 216*p**2 - 42*p + 131. What is the units digit of i(3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.06 * 10.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -24929\/10 - -7032\/5. Let s = 3221\/3 + y. Calculate the common denominator of (-2)\/(-4) + (-42)\/(-8) and s.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -147*r + 6. Let m be z(0). Solve 2*c + m = -4*l, -10*c = -7*c - 3*l for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.1, -1\/4, 1\/5, 27, 3, 26\/19?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 634*f - 56. Let b be g(-6). What is b rounded to the nearest 100?\nAnswer: -3900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 34 + -21.5. Let u = -15.2 + 27.2. Let k = u - v. Put k, -1, 2\/19 in decreasing order.\nAnswer: 2\/19, k, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 156 = -11*s + 13*s, 5*s - 5*a + 385 = 0. Is -549\/7 not equal to s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 10 + -8. Suppose -c*a + a + 2 = 0. Solve -3*s = -x + 8, a*x = 7*x + 5*s for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2845 (base 9) in base 6?\nAnswer: -13535","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 36\/7 greater than or equal to -0.01?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2436 is divided by 401?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 5*v**3 + 2*v**2 + 5*v - 9. Let l be y(2). Is ((-106)\/(-4))\/(l\/7154) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 238005 and 12513?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 942559270?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h**2 - 6*h - 6. Let w be b(7). Solve -3*i - w = 8 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3\/5 (b) 3\/25 (c) -4\/13 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 256*w = -474*w - 376 + 12056 for w.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 1, e: 1, k: 1, f: 1, u: 3}. What is prob of sequence eukf?\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = 4*a, -s + a = 4 - 1. Let g = -12 - s. Let v = 11 + g. What are the prime factors of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y**2 - 2*y - 35. Calculate b(0).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -30054928 * -0.5.\nAnswer: 15027464","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.129 in 0.5, 0.1, 8, 29, -3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r**3 - 3*r**2 - 4*r + 1. Let f(a) = -6*a**3 - 16*a**2 - 21*a + 5. Let x(o) = 2*f(o) - 11*s(o). Is x(-2) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -59*c**2 + 3*c + 2. Let w be p(-1). Let h be (5\/(-4))\/(5\/w). Solve 5*o = 3*a + 2 - 17, 5*o = -h for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(4) - (sqrt(784) - sqrt(16))\/sqrt(4))\/(sqrt(72)*-3))**2 - (6*(sqrt(32)\/sqrt(2))\/sqrt(8) + (sqrt(18) + -1 - sqrt(56)\/sqrt(7)))**2.\nAnswer: -16013\/162 + 14*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the second derivative of z**4\/12 + 17*z**3\/3 + 2483*z**2\/2 + 1648*z. What is the derivative of j(q) wrt q?\nAnswer: 2*q + 34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6008 and 120?\nAnswer: 90120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 10236 to the power of 1\/2, to the nearest integer?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that -2115*q**5 + 670980*q**4 + 13946795*q**3 + 45079160*q**2 - 270912340*q - 23374320 = 0.\nAnswer: -34\/3, -4\/47, 3, 337","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (78\/8)\/(1\/48). Is q\/(-4)*(-2)\/6 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 42 + -43 + -30 + (4 - 14).\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yyp when three letters picked without replacement from ctxytypw.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -11*z**2 - 81*z - 10. Let s(a) = -21*a**2 - 182*a - 20. What is 9*l(d) - 4*s(d)?\nAnswer: -15*d**2 - d - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 134613652?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 + 1. What is the second derivative of -3*l + 0*l**3 + 10*l + 9*l**y + 0*l**3 wrt l?\nAnswer: 108*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) 4 (b) 45 (c) 5\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-11)\/55)\/(36\/6300) - 13.\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 52.38855 centuries to millennia.\nAnswer: 5.238855","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*y**4 + 10395*y - 352587 wrt y.\nAnswer: 12*y**3 + 10395","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*y - 13*y - 3 = 0, -4*y - 142 = 8*z + 46 for z.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1 - -1 - (5 + -5). Suppose -3*y + 50 = 4*x, a*y + 45 = 5*y + 3*x. What is the units digit of y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o + 1. Let v(p) = -22*p - 14. Give v(b) + 12*x(b).\nAnswer: -34*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 5381 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 2*f - 5*q, 0 = -6*f + 7*f - 2*q - 4. Solve s - 2 - 1 = 4*u, -4*s + f = 3*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -12054965*o**2 + 10983739*o.\nAnswer: -24109930","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 2*g**2. Let z be (-3 - -1)\/((-594)\/(-150) + -4). Let s(v) = z*v - 458 + 150 + 152 + 156. What is y(s(j))?\nAnswer: 5000*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2620991*0.1.\nAnswer: -262099.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 700 = -v + 980, v = 2*j - 1115. Is 15 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a micrometer in nanometers?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28 = 13*o - 6*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1343819 to the nearest integer?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -2*r**2 + 113*r - 163. Let u be q(55). Solve t = t + u*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7542 is divided by 2468?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-28)\/(-6) - 31\/(-93).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 88901 and 76?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1757613 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 168\/17 + 440\/(-44). What is the biggest value in i, 22, 1, -5, 0.4?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 5, v: 1, q: 4, z: 1, e: 1, w: 3}. What is prob of sequence qce?\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 512564 plus -0.5?\nAnswer: 512563.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1479065?\nAnswer: 5, 7, 6037","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*z**2\/3 + 544*z\/3 + 182.\nAnswer: -2*(z - 273)*(z + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 (base 10) in base 7?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4.09307 - 0.09307. Which is the closest to 0.1? (a) 2\/59 (b) w (c) -1\/4 (d) 14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1344)\/(-1280) + 6\/5)*440\/33\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 8, o: 3}. Give prob of sequence uuo.\nAnswer: 28\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 40056380 divided by 364.\nAnswer: 110045","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 90*r**5 - 12*r**3 - 1638*r**2.\nAnswer: 5400*r**2 - 72","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 10136?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (24\/66)\/((-14)\/(-385)) - 21?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9054847091 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-4)*v*v**(-4\/7)*v\/(v*v**(-2\/3)*v)*v**(-3\/5) assuming v is positive.\nAnswer: v**(-473\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 798 and 190?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:05 AM and 8:58 AM?\nAnswer: 173","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 19\/97342 and 27\/5520682.\nAnswer: 38644774","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that -3*n**4 - 74*n**3\/5 - 20*n**2 - 38*n\/5 + 3\/5 = 0.\nAnswer: -3, -1, 1\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 108 (base 12) in base 10?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kykyryyrryr. Give prob of picking 4 r.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*i**3 + 9076*i**2 + 5152896*i + 5143824.\nAnswer: 4*(i + 1)*(i + 1134)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2873304 by -17103.\nAnswer: 168","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + w)*(1 - 2 + 3 + (2 - 1 - 2)*(0 + 1 - 2) + 7 - 12 + 17).\nAnswer: 15*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + m = -8, 3*i - 17 + 6 = 2*m. Let y be 6\/(-2*i) + 27\/9. Suppose -n + 1 + 1 = y. Solve -2*c = -3*t - n*t - 2, 0 = -t for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(m\/(m*m**(-3))))\/(m*m**6))**40*((m\/m**1*m)\/(m*m\/(m\/(m\/m**(-1)))))**(-15) assuming m is positive.\nAnswer: m**(-330)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 11, -142, -397, -754?\n\"Answer: -51*u**2 + 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 4*x + 5438 = 47418, b + 3*x - 20980 = 0. Let n be (-5 - -3)*-1 - -3. Suppose n*v - 5486 = -b. What is v rounded to the nearest 1000?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 203566 or 203570?\nAnswer: 203570","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s**2 + s. Let t be f(0). Let u be 2*1702 - -2 - 2 - 4. Suppose r = -t*r + u. Round r to the nearest one thousand.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6 + 8 - 6)*(1 - 3 + 3)*(-3*p + 2*p + 0*p)*(4*p - 3*p - 10*p - 1) + p - p**2 - p + (1 - 1 - p)*(0 + 0 - 2*p) as a*p**2 + b*p + y and give a.\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6264146?\nAnswer: 2, 7, 447439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 13, 22, 51, 112, 217?\nAnswer: 378","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1123 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -38969710*x - 6269228 with respect to x.\nAnswer: -38969710","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven halves of a millennium in years?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 5, -8\/35 in increasing order.\nAnswer: -3, -8\/35, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10 and 782?\nAnswer: 3910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 32270 and 0.3?\nAnswer: 9681","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*u + 175 - 58. Let b be -2 - 1\/(3\/(-9)). Calculate the remainder when (13*4)\/b - 2 is divided by u.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2\/2197 + 94527\/61516. Find the common denominator of u and 10\/7.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 293688?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 251 or 1.6?\nAnswer: 251","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -11960000 to the nearest 1000000.\nAnswer: -12000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that k**3\/6 + 13050901*k**2\/6 + 26101799*k\/6 + 13050899\/6 = 0.\nAnswer: -13050899, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 25075218 divided by -26\nAnswer: -12537609\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -20149 + 0.03\nAnswer: -20148.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Add 1.7533 and 27.854852.\nAnswer: 29.608152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -4*h. Let x(p) be the first derivative of 733*p**2\/2 + 388. What is b(x(r))?\nAnswer: -2932*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + (-48)\/8 - 40\/(-4).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m**3 - 22*m**2 - 154*m - 1844. Let w be b(-19). Let r be (1\/7)\/(2\/(-12)). Let a = 0.24 + 0.06. Sort r, -5, a, w.\nAnswer: -5, w, r, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4165622, -4165620, -4165618, -4165616, -4165614, -4165612?\nAnswer: -4165610","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 103991 is divided by 3058.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -11 (base 10) to base 13\nAnswer: -b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1191 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**3\/2 - 45*p**2\/2 - 84*p - 82.\nAnswer: -(p + 2)**2*(p + 41)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 3*g - 6 + 3 = 0, -u = 4*g + 6. Let n be 1*(u - 0)\/(-2). Solve m - n = 2 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-45550)\/(-2733))\/((-2)\/(-6984)). Round z to the nearest one thousand.\nAnswer: 58000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2779098?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -45 - 59 + 9*p + 60. What is the units digit of g(5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -945 at most -945?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -877*q**3 - 2*q - 2. Is j(-1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3c6c45c - 3?\nAnswer: -3c6c461","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 52 = -36. Let g be (-8 - -10)\/(2\/10). Suppose -4*o + g = -c - o, c - h = -5*o. Solve 12 = c*s + s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = 2*p, -3 = s + 3*p - p for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1941629?\nAnswer: 19, 102191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 76187 and 48269.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.04, 1\/4, -1096, -43.\nAnswer: -1096, -43, -0.04, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1628.12 + 1595. Let j = 34 + s. Let u = 0.12 + j. What is the closest to -0.1 in 4\/3, u, -2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 7576836 and -10?\nAnswer: 7576846","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**3 + s**2 - 15. Let j(t) = t - 15. Let h be j(15). Let i be x(h). What is i rounded to the nearest ten?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21442 is divided by 127.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1*(0\/1 + -1 + -1). Suppose -3*h + 2*y + 14 + 4 = 0, 4*h = q*y + 26. Suppose -h*u + u + 14 = 0. Solve -n + 9 = u*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*1*((-612)\/85)\/36.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + -3*sqrt(1539))*3*-4 + -1.\nAnswer: 35 + 324*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -271659366 to the nearest 1000000.\nAnswer: -272000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/(-8) - 43395\/(-44). List the prime factors of l\/12 + 11\/(-66).\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the second derivative of -c**8\/1344 + c**5\/120 - c**4\/6 + 7*c. Let s(y) be the third derivative of t(y). Differentiate s(w) with respect to w.\nAnswer: -15*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 2730303, 5460612, 8190921?\n\"Answer: 2730309*v - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 2166?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9131 + -9118. Let i(b) = b - 17. What is i(g)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -26 (b) 0 (c) -0.4 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the first derivative of 0*f**3 + 50*f**2 + 0*f - 108\/5*f**5 + 0*f**4 - 51. What is the second derivative of p(s) wrt s?\nAnswer: -1296*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z**2 - 3. What is the remainder when a(-2) is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 + 14 = g. Suppose -6*k - 4*q = -4*k - g, -q + 13 = 2*k. Let u = -33.15 - -32.85. Sort k, u, -3 in ascending order.\nAnswer: -3, u, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4679, -1, -5, 58, 5, -4.\nAnswer: -4679, -5, -4, -1, 5, 58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t, 1 e, and 1 a when three letters picked without replacement from {t: 3, a: 6, l: 2, e: 2}?\nAnswer: 18\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -2*d**2 - 12*d + 23. What is n(-8)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(117)*-2)\/sqrt(9) - (1 + sqrt(52)\/sqrt(4))) + (0 + sqrt(832))*-3 + -1.\nAnswer: -27*sqrt(13) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/7*o**3 + 22\/7*o**2 + 0 - 24\/7*o.\nAnswer: 2*o*(o - 1)*(o + 12)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 110623 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 53*a - 9*a - 79772. What is the units digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 63*z - 285. Let c(w) = 214*w - 857. What is -2*c(p) + 7*s(p)?\nAnswer: 13*p - 281","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 103350730 is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*u - 3*x + 43, -x = -5*u + 3*u - 17. Let s be (-1 + u)\/3 + 2. Does 8 divide -15*(s + 0 + 0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/b**(-2\/9))\/(b**4*b)*b**(-1\/2)\/(b*b**(2\/3)) assuming b is positive.\nAnswer: b**(-107\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that 2*r**3 - 487*r**2\/4 + 6131*r\/4 + 387\/2 = 0.\nAnswer: -1\/8, 18, 43","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 3*d - u - 7, -11 = -2*d - 5*u. Solve q = -5*h - 2*q + 16, -d*h = -4*q + 2 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 minus -34212672?\nAnswer: 34212673","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.01 (b) 1 (c) -1\/4 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f**2 + 7*f + 1. Let l be r(-7). Let j = l - 1. Suppose j = 2*b + a - 0*a - 14, -a = 4*b - 30. What is the units digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (35\/(-7735))\/((-12)\/156)*(-68)\/(-20)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the third derivative of o**8\/21 - 29*o**4\/24 - 12*o**2. Find the second derivative of k(v) wrt v.\nAnswer: 320*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 6473083, 12945502, 19417933, 25890382, 32362855, 38835358?\n\"Answer: y**3 + 6472412*y + 670","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -62 - 0. Let h = 137 + j. Is 15 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 381200 to the nearest 100000.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1060 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = -5*m - 0*f + 2*f, 5*m - 7 = -4*f. Let k(x) = 273338*x**2 - 273337*x**2 + x**3 + 4*x - 3*x. Let h(n) = n**3 - 4*n**2 - 2*n. Give m*h(s) - 2*k(s).\nAnswer: -3*s**3 + 2*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 206956 to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 942, 3748, 8432, 15000, 23458?\n\"Answer: z**3 + 933*z**2 + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*j + 46*j = 1085. Solve 53 = 28*w - j for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 67*u. Let j(k) = -2*k + 3. Let m(d) = 10*d - 16. Let a(r) = -16*j(r) - 3*m(r). Calculate b(a(p)).\nAnswer: 134*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-58) - (-149)\/(-25926)*(-1 + -2035)?\nAnswer: 35\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1117 and 355.\nAnswer: 396535","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 6 + -8 + (-1 - -14). Suppose -s - 11 = 3*x, -3*x + s - 30 = -p. Let o = 0 - x. What are the prime factors of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 49.54 and -0.4?\nAnswer: -19.816","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -96*c = -91*c - 525. Let j(o) = 7*o - 1. What is the remainder when c is divided by j(4)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2 + 2 - (-593)\/(-149). Let x = l - -241\/2831. Let f = 4.7 + -0.7. Which is the closest to x? (a) -6\/7 (b) f (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1438035 divided by -287607.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-28)\/6*(76752\/273)\/(-82)\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 2, i: 1, d: 2, y: 1, l: 1, e: 1}. Give prob of picking 2 d and 1 e.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.39191 rounded to two dps?\nAnswer: 0.39","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 53*h + 2. Suppose 226 = 2*a - 58. Let j = a - 140. List the prime factors of f(j).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-3*sqrt(68)\/sqrt(4) - sqrt(17))**2 + 0)*1 - ((5*(-2*sqrt(85) + sqrt(85)))\/((sqrt(15)*2)\/sqrt(3)))**2) + -1.\nAnswer: 659\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.02 - 0. Let s = 0.12 + v. Let h = -23\/96 - 3\/32. What is the nearest to 1\/3 in s, -5, h?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 100000012212221 (base 3) in base 16?\nAnswer: 490c3c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -141939544 divided by 35484886.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -14 + 11. Is (3 + 6\/h)*59 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 114*o - 119. What is the units digit of u(13)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x**(-4)\/x))\/(((x*x*x\/(x\/x**(-21\/5)))\/x)\/x)*x**(-15\/4)*x*x**13)**28 assuming x is positive.\nAnswer: x**(2863\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3 - 8c7?\nAnswer: -8ca","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*1\/(20\/(-5)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the second derivative of -p**7\/21 + 2*p**6\/15 - 17*p. Factor i(s).\nAnswer: -2*s**4*(s - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 4 + 3*s**2 + 0 - 28*s + 23*s. What is d(3)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 239 and -0.16203511829.\nAnswer: 238.83796488171","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 425488992.\nAnswer: 2, 3, 4432177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*159278766.\nAnswer: 477836298","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16365.2*9.9.\nAnswer: 162015.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y**2 + 10*y - 11. Let a be w(8). Suppose -3*m + g = -707, -4*g = -a*g - 2. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1415611 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38 = 2*u + 3*u - 4*f, -3*u - 5*f + 8 = 0. Let j = -0.36 - 2.64. Let z = -31\/2 + 16. Which is the second smallest value? (a) j (b) u (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 2 r when three letters picked without replacement from {s: 2, r: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.63 less than -788.5?\nAnswer: -782.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the third derivative of -14*m + 1\/2*m**3 + 1\/6*m**4 + 0 - 2*m**2. Calculate r(-2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - g - 2 = 0, -3*d + 0*g + 8 = -4*g. Solve d = -2*n, -2 = k - n - 6 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -18*c - 81*c**2 - 63*c**2 + 148*c**2 + 2*c**3 - 1 in the form q*c**2 + d + z*c + m*c**3 and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 504 is divided by 244?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 11406 - 11406. Let g(c) = -4*c + 4 - 3*c + 6*c. Calculate g(f).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 71\/177 and ((-79)\/(-4))\/((-48)\/(-32)).\nAnswer: 354","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-10\/9)*q)\/q*q*q*q**(2\/17)*q**(-3)\/q**28 assuming q is positive.\nAnswer: q**(-4589\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -7 - (98 + -81 + -12 + 1)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -65701 - -175?\nAnswer: -65504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3897.\nAnswer: 3, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3635 + 12193. What are the prime factors of f?\nAnswer: 2, 3, 1319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 53\/104 and -113\/144?\nAnswer: 1872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 23 - (10 - (-24 + 49))?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qmmmqyq. Give prob of picking 1 q and 1 y.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7 + 11. Suppose -x*t - 6 + 26 = 0. Suppose -149 = -t*s + 36. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d - 3*i = -2 + 6, -4*d - 2*i = 8 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (30\/(-25))\/(4\/(-80)). Solve -5*a = y - 0*y + m, 0 = -4*y + 4 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51 a factor of 154578042?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 572970, 1145972, 1718974, 2291976, 2864978, 3437980?\nAnswer: 4010982","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 63520 divided by -6.\nAnswer: -31760\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vunn when four letters picked without replacement from unvuurrrunr?\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -113 + -342315?\nAnswer: -342428","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 408906 is divided by 204434?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -32, -0.908426 in ascending order.\nAnswer: -32, -0.908426, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - 0) + (2 - (7 + -10))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.2, -8, -0.2, -55, -1812?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 6*u**2 + 8*u + 12. Suppose 2*p = -3*j + 6, -4 = 5*p + j + 7. Let l be a(p). List the prime factors of (-12)\/l + (-5)\/(70\/(-1992)).\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 69*t**2 - 154*t**2 - 200*t**2.\nAnswer: -285*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h**2 - 5*h - 3. Suppose -5*u - 5*d - 20 = -3*u, -5*d = -u + 20. Suppose -4*b + 6 + 18 = u. Determine f(b).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence db when two letters picked without replacement from {p: 1, d: 11, i: 1, b: 2}.\nAnswer: 11\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 52428 and 3927?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + (-3 - -8 - 2 - -3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-11)\/(-264)*114*4.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.1, 41, -3?\nAnswer: 41","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 183 - 199. Let n be (m\/28)\/((16\/28)\/(-2)). Solve 12 = n*c + 2 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 467\/6 + -78. Let r = -0.4 + -0.8. Let n = 0.2 + r. Which is the third smallest value? (a) n (b) m (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -110*(19481\/(-616))\/((-1)\/(-20))?\nAnswer: 5, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1159780 rounded to the nearest one thousand?\nAnswer: 1160000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:47 PM and 12:42 AM?\nAnswer: 535","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 30\/45 - 584\/(-6). Let n = -61 + w. What is the remainder when n is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -12.8 + 0.8. Let y = -11.8 - l. What is the third biggest value in 5, y, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 greater than or equal to -4177?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 + 2 = 5*y + 6*c, -4*y + 2*c = 30 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -149*q - 484 = -14 + 275 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 669 minutes after 6:50 AM?\nAnswer: 5:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2667 = 159*y - 1149 for y.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -50 + 27. Let b = u - -28. Suppose -b*c = -115 - 25. What is the tens digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -h**3 + 9*h**2 - 2*h + 1. Calculate q(9).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 47*v**2 - 5*v - 11. Is j(6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 273069483?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 1 * 0.05397782\nAnswer: 0.05397782","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -744 - -1584. Let q = -826 + h. Solve -8*j = -q*j - 24 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/25 + (306\/75 - -4). Let w(q) = -q**3 + 7*q**2 + 6*q + 3. Determine w(v).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51.70845ug in nanograms?\nAnswer: 51708.45","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -125 - -152. Let r(p) = 2*p**2 - d*p - 34 - 19 - 4. Is r(24) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = 355*h - 356*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -2 - -4*5\/1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by -608495.\nAnswer: 3\/608495","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1956820 a multiple of 42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 131101 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(7) + 1) + sqrt(7))**2 + -4.\nAnswer: 4*sqrt(7) + 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 226 and 678?\nAnswer: 678","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -5 + (1 + 4 - 6)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 85\/10542 and 79\/362946.\nAnswer: 2540622","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n = -a - 7, -19 = -119*n + 114*n + 4*a for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -24 - -27. Suppose -5*o - 67 - 41 = -t*k, 2*k = 4*o + 88. Let d = o - -26. Solve d*h - 16 = -2*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -10*a. Let w(y) = 16596*y. What is w(h(i))?\nAnswer: -165960*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4547.151 tonnes to nanograms.\nAnswer: 4547151000000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -33*f + 18. Let r(t) = -11*t + 6. Let p(y) = -11*r(y) + 4*w(y). What are the prime factors of p(-2)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10010332331 (base 4) to base 10.\nAnswer: 1068989","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 2*r**3 - 49*r**2 - 22*r - 56. Determine h(25).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 3 w when four letters picked without replacement from {a: 1, c: 3, j: 9, w: 5}?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 52 - 40. Put -1, q, 2 in increasing order.\nAnswer: -1, 2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 99.951 - 100. Let m = r - -0.549. Which is the closest to -0.1? (a) -2\/5 (b) -5 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:33 AM and 7:17 AM?\nAnswer: 404","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 539 minutes after 10:26 PM?\nAnswer: 7:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**1\/p)**40)**(-8)*(p**7\/p*p\/(p\/(p\/p**(-2\/11)*p))*p)\/(p**(5\/4)\/(p*p**3*p)) assuming p is positive.\nAnswer: p**(569\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -133241 (base 5) to base 13\nAnswer: -262c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 3*m + 4*m = 0. Let x = 7 + -11. Sort 2, x, m.\nAnswer: x, m, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 78695 take away 5?\nAnswer: 78690","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 54 divide 5184?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 13032 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*g**4 + 540*g**3 - 36450*g**2.\nAnswer: -2*g**2*(g - 135)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1494*c - 617*c - 167482 = 1307*c for c.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/(-4) + 847\/(-1638). Let u = -343\/468 + w. What is the nearest to 0 in 0.1, u, 0.4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -37567 by 133.\nAnswer: -37567\/133","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3)\/2*10\/3. Let z = i - 4. Is (508\/(-6))\/(6\/z + 0) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 144392?\nAnswer: 2, 18049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 10*w**2 - 27*w + 14. Let p be 4\/10 + (-33)\/(-5). Let a(m) = -7*m**2 + 18*m - 9. Let u(x) = p*a(x) + 5*v(x). Let t be ((-2)\/4)\/((-4)\/40). Give u(t).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1624*f**4 - 2754*f - 1 wrt f.\nAnswer: -19488*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -9184, -18367, -27550, -36733, -45916?\n\"Answer: -9183*k - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 8, i: 1, u: 4, k: 3, e: 3}. What is prob of sequence uuu?\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 14698 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 - 0. Let o be r\/(-3) + (-799)\/(-3). Suppose 3*w = 6*w - o. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15\/6*(-36)\/15.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that r**5\/9 - 38*r**4\/9 + 33*r**3 + 1052*r**2\/9 - 2848*r\/9 + 512\/3 = 0.\nAnswer: -4, 1, 16, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -90, 563, 1242, 1959, 2726, 3555, 4458, 5447?\nAnswer: 6534","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 2*sqrt(500) - 2*(sqrt(500) + -1))**2 + 3 + -2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 51234 is divided by 2441.\nAnswer: 2414","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-7)\/q*(q**(-15)*q)\/q assuming q is positive.\nAnswer: q**(-23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 74 + -72. Suppose -f + 6*j - 22 = j, 2*f - 16 = -a*j. Solve -7 + f = d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/(-455)*1*((-630)\/(-54))\/(-5)?\nAnswer: 2\/65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1256518.\nAnswer: 2, 67, 9377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/1665 and -21\/5.\nAnswer: 1665","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o - 2*p + 2 = 0, 0 = 2*o - 2*p - 10 + 14 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -467 + 467. Suppose k = -4*b + 5*q + 537, 4*q - 546 = -4*b + 6*q. Calculate the greatest common factor of 12 and b.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2917 = -b + 5*b - 5*q, b + 3*q - 725 = 0. Suppose -14*n - b = -2576. What is the highest common factor of n and 44?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 2*z - 142 = 2*t, 4*z + 3*t = 117. What is the remainder when z is divided by 12 + 6\/(-3) + -1?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g**3 + 7*g**2 - 5*g - 6. Let v be j(6). Let z = v + 2. Solve 9 = z*p + p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*p + 3*p = 167 - 257. Let w(q) = -25*q + 4. Let u(k) = 13*k - 2. What is p*u(b) + 4*w(b)?\nAnswer: 17*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -0.0037 times -2.63\nAnswer: 0.009731","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -125 (base 7) in base 3?\nAnswer: -2112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13812624 divided by 56.\nAnswer: -246654","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -1.2 (b) 4\/9 (c) -4 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 6927, 13744, 20561, 27378, 34195?\n\"Answer: 6817*b + 110","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 233 (base 16) in base 5?\nAnswer: 4223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 130150077 and 345?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 244 (b) 0 (c) 2\/3 (d) -49496\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4)\/(((-1)\/(-1) - 2) + 3). Sort -1, -3, i, 0 in decreasing order.\nAnswer: 0, -1, i, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = 4*k, -5*t - 5*k = -3*k. Suppose -2*z + t*z = -20. Suppose 28500 = -15*o + z*o. Round o to the nearest 1000.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + 0 + (3 + -5 - 0).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 239292763 a multiple of 4512?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1 + 1 - (-2 + 0). Suppose -4*t = -4*j - 84, -j - 33 = -3*t - l*j. Calculate the remainder when t is divided by 2 + (16\/20)\/(2\/10).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100000010110 + -11001000100?\nAnswer: -111001011010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -26456 - 1608.\nAnswer: -28064","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 544 equal to 1837?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z**2 - 5*z + 4. Let q be x(5). Suppose 5*t = -2*v + 178, 4 = q*t - v - 128. What are the prime factors of t?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*i**2*j*r**3*x - 6*i**2*x**2 - 2*i*j*r**3 - 2*i*x**2 + 18*j*r**3*x**2 + j*x**2 wrt i.\nAnswer: -4*j*r**3*x - 12*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1777 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 410 + -411. Let n(h) = h**2 + h - 2. Let z be n(0). Let k = z + 0. Put k, 4, r, 2 in decreasing order.\nAnswer: 4, 2, r, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 73\/(-5) + (-6)\/15. Let g be 4\/6 - (-76)\/(-6). Let y be (g\/10)\/(3\/k). What is the highest common divisor of 6 and y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a tonne in kilograms?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the first derivative of -h**4\/2 - 2*h**3\/3 - 2*h - 31. Determine z(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -682 + 707. What is the remainder when 74 is divided by b?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 122364?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 175 by 16.\nAnswer: 175\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -6*c + 2. Calculate d(5).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 3*u - 25 = a, -a = -5*u + 20. Suppose 4*v - 3*c = 12388, -8*v - a*c = -3*v - 15520. Round v to the nearest one thousand.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0 (b) -0.7 (c) 4 (d) -35 (e) -3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: ((-910)\/(-441))\/13*1938\/(-1615)\nAnswer: -4\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the second derivative of h**7\/42 - h**3\/3 + 3*h. What is the second derivative of x(g) wrt g?\nAnswer: 20*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2742 - -4179. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 34463 - 30637 = -2*q, 5*q - 65100 = -3*s. What is s rounded to the nearest one thousand?\nAnswer: 22000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 85875284 divided by -42937642.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Add 6.38 and 1406.\nAnswer: 1412.38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 98 = s, 0 = 4*s - 0*r - 2*r + 302. Let p = s - -311. Let k = p + -160. List the prime factors of k.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -25*j - 148. Let t be i(-6). Let p be -2 + 5*2\/2. Suppose p*f + 2*f = -t*s + 107, 5*s - 3*f = 190. What is the tens digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 62.1 - 62. Let y be 460\/(-10) - (-5 - -1). Let q = y + 47. Sort q, w, -4.\nAnswer: -4, w, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w - 4*i - 88 = 0, -282*w - 124 = -286*w - 5*i for w.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 287 and 196?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 204791?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -24*z**3 + 5*z**2 - 5*z + 5. Let r(f) = 19*f**3 - 5*f**2 + 4*f - 4. Let m(v) = -4*a(v) - 5*r(v). Factor m(i).\nAnswer: i**2*(i + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.3 + -1.6. Let x = o - 0. Which is bigger: -1\/3 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -305*d = -189*d - 24062924. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-two fifths of a micrometer in nanometers?\nAnswer: 14400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 98 or 101?\nAnswer: 98","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5\/9074 - 62733\/80912858. Which is greater: b or -1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-50)\/30*(1 + -2)?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 f when two letters picked without replacement from fpilw.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/2*((-32)\/(-132))\/1?\nAnswer: 36\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3885237*c**4 - 2*c**3*r + 6*c**3 + 4*c**2*r - 3*c**2 - 56*c*r - 14*c + r - 37 wrt c?\nAnswer: 93245688*c - 12*r + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 19 + -7. What is the smallest common multiple of w and 4?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 3, e: 2, u: 1, z: 1, y: 3}. Give prob of picking 1 y and 2 c.\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1)\/3*-15 + 4542 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1749)\/8 - (-6)\/(-1). Let c = 225 + n. What is the biggest value in 0, 1, 0.5, c?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0 (b) 2\/7 (c) 2 (d) -0.176\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:44 AM and 2:56 PM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that a**3\/2 + 991*a**2\/2 - 10078*a + 32352 = 0.\nAnswer: -1011, 4, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 5, 99, 251, 449, 681, 935?\n\"Answer: -2*l**3 + 41*l**2 - 15*l - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 525 minutes before 10:51 PM?\nAnswer: 2:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d**3 - 7*d**2 + 5*d - 7. Suppose -3*g - 20 = f - 0, -f = -2*g. Calculate the remainder when 50 is divided by h(f).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 121? (a) 0.037 (b) 7.1 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}