diff --git "a/data/dm_maths/full_data_2/10606_11255.jsonl" "b/data/dm_maths/full_data_2/10606_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_2/10606_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Suppose -3*n + 6*n - g = 113, 5*n + 5*g = 195. Suppose -3*o + 160 = o. Which is smaller: n or o?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t and 1 l when three letters picked without replacement from tglttggtgttgtttggt.\nAnswer: 15\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 771*p + 144960. What is x(-188)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 3, b: 11}. Give prob of picking 1 b and 3 m.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -30*i**3 - 36*i**3 - 2*i + 3*i**2 + 66*i**3 + 2*i**4 in the form z*i**2 + c*i + t + a*i**3 + d*i**4 and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46*s - 348 = 40*s. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -21127439\/5 and -4225487 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 24*a + 75. Let m(k) = 2*k + 2. Let o(w) = 4*c(w) + 4*m(w). Differentiate o(i) with respect to i.\nAnswer: 104","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1971080?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(7) + -4)**2 - sqrt(7) - (sqrt(28)\/sqrt(4) + 1).\nAnswer: -18*sqrt(7) + 43","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/151? (a) -153 (b) 3 (c) 2\/7 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 55*o - 170. Let a be m(8). Suppose -122*p = -131*p - a. Which is greater: -27 or p?\nAnswer: -27","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 194 minutes before 8:47 AM?\nAnswer: 5:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = w + 2, 5*w + 3*y - 4*y = -2. Let s = w + 3. Sort -2, s, -4 in descending order.\nAnswer: s, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (81\/(-2)*21\/735*-14)\/((-21)\/70).\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - (2 + (-4 - -4))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, h: 1, j: 1, z: 1, a: 1}. Give prob of sequence hw.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -98 or -100?\nAnswer: -100","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 98860 is divided by 98851?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z**2 - 8*z + 4. Let n be g(7). Let y be (-122)\/(-2) - (3 + n). Let h be 3\/6*(y + -1). What is the highest common divisor of h and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w - 1. Let d(r) = -2*r**2 - 2*r + 6. Calculate d(a) + 5*q(a).\nAnswer: -2*a**2 + 3*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (0 - 79\/11) + 22\/121\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (10\/4)\/((-1)\/(-2)). Let f be ((-96)\/(-1008))\/(12\/(-21)). Let w = -0.1 + -2.9. What is the nearest to f in 2\/7, o, w?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 2*d**3 - 2*d**2 - 9*d - 1. Let c be w(3). Let i be (-12)\/(0 + 3\/(-2)). Calculate the greatest common factor of c and i.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f**5 + 42*f**4 - 314*f**3 + 1014*f**2 - 1412*f + 672 = 0 for f.\nAnswer: 1, 2, 3, 7, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = 2*z + 32, -5*o + 4*o = -5*z - 86. Is z at most as big as 1\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-21*r - 7*r + 8*r - 2)*(3*r - 4*r - 2*r).\nAnswer: 60*r**2 + 6*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 294 minutes after 4:20 PM?\nAnswer: 9:14 PM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 37160 + -7?\nAnswer: 37151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -11*m + 2*m**2 + 19 - 3*m**2 + 2*m - m**3 + 13*m**2. List the prime factors of c(11).\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-84)\/4)\/3 - 43542\/(-41) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-2)\/1)\/((-12)\/(-108)). Let k be (0 + 12)\/((-3)\/x). Suppose -2*i + 63 - 7 = 3*r, -4*i + k = -4*r. Calculate the remainder when 87 is divided by i.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 + 136 = -5*q. Let d = 49 + q. Let x = 44 - d. What is the tens digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 0*m**2 + m**2 - 5*m**2 - 6*m + 5*m**2 + 3. Let l be f(5). Suppose 2*v = -4*a + 3*v + 10, -4 = -5*a - 3*v. Put -3, a, l in increasing order.\nAnswer: -3, l, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is b1 - -2?\nAnswer: b3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m - 51 = -4*q, 11*m - 7*m - 58 = -2*q for q.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3 - 6. Let m be (2\/3)\/((-4)\/(-42)). Suppose -n + m - 2 = 0. Put o, n, -1 in ascending order.\nAnswer: o, -1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2637.875t to grams.\nAnswer: 2637875000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t - 27 + 3 = 5*g, -62*g + 3*t = -59*g - 78 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1654 is divided by 512?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-20)\/16)\/(426\/(-3976)))\/(5\/9).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m**3 - 9*m**2 - 11*m + 12. Let h be f(10). Suppose -4*v + 2*o - 12 = 0, 3*v = -5*o + h - 11. Does 8 divide (v - 28\/(-20))*-5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3.93 + 0.07. Let s = v + -8. Let w = -1105 + 1103. Which is the fourth smallest value? (a) s (b) 4 (c) w (d) 4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 388926 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 682483 to the nearest integer?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2 (b) -95 (c) 6 (d) -1802\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35825238945*h + 35825238945*h - h**2.\nAnswer: -h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -2*r + 1305483. Suppose 0 = -h - 4*h. Let n be q(h). Suppose 4*d = -1734517 - n. What is d rounded to the nearest 100000?\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*f + 2*f**4 - 12*f**2 - 4*f**3 - 1497 + 1505 + 2*f**4 = 0. What is f?\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the second derivative of i**4\/12 + 5*i**3\/6 - 5*i**2\/2 + 3*i. Let o be q(-6). Let f = -13 + 89\/7. Which is greater: o or f?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r**3 + 13*r**2 - 13*r + 71. Let i be u(-14). Suppose 59*k - 34 = i*k. What is the highest common divisor of k and 187?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26 = -2*u - 2*w, -3*u + 1637*w + 45 = 1642*w for u.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 7\/17 (b) 0.5 (c) 0.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the second derivative of -p**9\/756 - p**6\/180 + p**3\/6 + 3*p. Let a(w) be the second derivative of u(w). Find the third derivative of a(n) wrt n.\nAnswer: -240*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 6\/(-18) - (-74)\/6. Let u = b + -13. Let k(p) = -9*p**2 - p - 1. Determine k(u).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -151*a**3 + 2*a**2 + 2*a + 1. Let l be c(-1). Suppose -10 = -t - t. Suppose l = -m + t*m. What is the remainder when m is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 4*p + 8. Let r(i) = i + 1. Determine -5*r(g) + w(g).\nAnswer: -g + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 23223084?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x**3 - 4*x**2 + x + 7. Let h be l(5). Suppose 5*j - 23 - h = -5*i, -5*i + 4*j = -96. Is 9 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j**3 - 6*j**2 + 5*j + 2. Calculate the least common multiple of r(5) and (-10)\/3*(-3)\/2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 6 - 2*v + 1)*((-2 - 8 + 3)*(5 - 3 + 0)*(112*v - 62*v + 75*v) - 2 + 2 - 2*v) to the form x + w*v**2 + k*v and give w.\nAnswer: 3504","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence az when two letters picked without replacement from {z: 1, t: 4, q: 1, a: 2}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*m + 5, -5*m - 8 = -3*q - 3. Let z(u) = -2*u**2 + 3*u - 2. Let r be z(2). Let b = r - -7. Sort -1, b, q.\nAnswer: -1, q, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 582023*p**2 + 12*p + 582021*p**2 + 2.\nAnswer: -2*p**2 + 12*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve k**3 + 63*k**2 - 66*k - 128 = 0 for k.\nAnswer: -64, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 6196742 to the nearest 100000.\nAnswer: 6200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 306 - 5*o**2 - 128 - 178.\nAnswer: -5*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -98449, -98448, -98447, -98446, -98445?\n\"Answer: o - 98450","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*a + 24 = -5*a. Calculate the highest common factor of a and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 8681 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 666134081 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3138 + c**2 + 9*c**3 - 3134 - 4*c**3 - c**3 + 6*c**3 + 7*c to y*c**2 + f + g*c + q*c**3 and give g.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the third derivative of -j**4\/24 + 10*j**3\/3 - 3*j**2. Is 5 a factor of m(10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3745 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the third derivative of p**6\/120 + p**5\/12 + p**4\/24 - 3*p**3 - 2*p**2 + 1240. What is c(-3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -152*d + 148*d + 72 = 0. What is the least common multiple of d and 99?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*i**2 + 102*i**3 - 249*i**3 + i + 78*i**3 - 281*i**3 - 101*i**3 in the form v*i**2 + c*i + k + r*i**3 and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -766 - -772.03. What is t rounded to zero dps?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 8 + -63150?\nAnswer: -63141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 29 + -57\/2. Let d be ((-2)\/4)\/(2\/20). Let r = 4.86 + -6.86. Which is the third biggest value? (a) d (b) k (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4611*l + 5127*l = -19608 for l.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 15771794 to the power of 1\/4, to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 76 = g - 2*c, -g - 16 = -2*c. Which is bigger: -23 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-1\/4))**28*(j\/(j\/(j**2\/j*j)))\/j**(-3\/8) assuming j is positive.\nAnswer: j**(-37\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -287.3 - -236.3. What is the third smallest value in 0, -7, p?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cnbggcgwccjcwgggggcc. Give prob of sequence cc.\nAnswer: 21\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a millennium in decades?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*q**3 - 5*q**3 - q**4)*(4*q - 5*q + 6*q) + (-2*q**4 + 1699*q**2 - 1699*q**2)*(-2*q + 6*q - 3*q).\nAnswer: -7*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (36\/10)\/((-1)\/(-10)). Suppose -2*n = 2*a + 3*n + p, -3*n + 54 = -3*a. What is the remainder when 17 is divided by (a\/21)\/((-1)\/7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2.2 - 1.9. Which is the biggest value? (a) -2\/7 (b) q (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8767 + 16073 = 138*z. Which is smaller: 191 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (3\/((-60)\/104))\/(8\/(-20)). Suppose -5*b + v - 13 = 0, -2*b = -4*b + 3*v - c. Let i(x) = -x**3 - x - 4. What is i(b)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 5*j**2 + 90*j - 10. Determine k(7).\nAnswer: 865","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h - 10037*f = -10041*f - 42, -4*f - 16 - 23 = -3*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 f when two letters picked without replacement from {d: 2, j: 1, y: 5, t: 1, f: 2, g: 2}?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the second derivative of -y**6\/6 - y**5 - 25*y**4\/12 - 5*y**3\/3 - 16*y. Determine n so that l(n) = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1.9 + -2. Let v = 520\/77 + -46\/7. Let o = -1\/136 - 133\/408. What is the nearest to o in v, c, -3\/2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -107*j**6 - j**2 + 104*j wrt j.\nAnswer: -12840*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -26444440*k + 22486857?\nAnswer: -26444440","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5636040 by -2680.\nAnswer: -2103","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2766 = -28*w - 185*w + 3853 - 16 for w.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 114 and 1539?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 505 minutes after 5:09 PM?\nAnswer: 1:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 41526438?\nAnswer: 2, 3, 19, 364267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o = -2*l - 4*o - 1, 25 = -5*l + 5*o for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1836*v + 878*v = 1428*v + 112142 for v.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v**2 - 3*v + 1. Let d(b) = -2*b + 14. Let f = -38 + 47. Let n be d(f). Determine s(n).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zgzellezzelzzl. What is prob of sequence ge?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2 - 3. Let w = -4293\/68 + 253\/4. Let s be 136\/36 + -4 + 31\/18. Which is the third biggest value? (a) s (b) -2\/5 (c) w (d) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11110010 (base 2) to base 12.\nAnswer: -182","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 275 divided by 76185?\nAnswer: 55\/15237","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4126 - 25?\nAnswer: -4154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -310 (base 7) to base 2\nAnswer: -10011010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 502 minutes after 6:21 AM?\nAnswer: 2:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -3, 3452 in ascending order.\nAnswer: -3, 4, 3452","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is f in 3*f**5\/2 - 48129*f**4\/2 + 22728375*f**3 + 68329527*f**2 + 136755327*f\/2 + 45601155\/2 = 0?\nAnswer: -1, 1011, 15035","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 27 + -16. Let j = 29 - z. Let a = 461 - 427. Calculate the remainder when a is divided by j.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -8*l - 3*l - 1 + 22*l - 9*l. Let m(w) = w. Let v(o) = 2*o. Let y(z) = 3*m(z) - 2*v(z). Determine -r(c) - 3*y(c).\nAnswer: c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 141 divide 5336458?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s**2 + s. Let a(u) = 6*u**2 + 14*u + 8. Suppose 31 = -5*c + 2*c - 4*b, 0 = c - 4*b - 11. Let l(x) = c*j(x) + a(x). What is l(-6)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -19341? (a) -6 (b) -5 (c) 1\/3 (d) 0.3 (e) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 17 = 2*z, z = 4*a - 0*a - 8. Suppose -7*n = -a*n - 136. What is the units digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 681081 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t\/(t*t**(1\/2))))\/((t\/((t*t**(1\/3))\/t)*t)\/t)*t**(-2\/5)\/t*t**5*t)\/(t**5\/(((t\/t**(-2\/7))\/t)\/t*t))**(4\/5) assuming t is positive.\nAnswer: t**(349\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 77\/6724 and 29\/12.\nAnswer: 20172","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -173\/1386 and -197\/40194.\nAnswer: 40194","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/117965 at most 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yayk when four letters picked without replacement from hmuakmy?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 788 + -847. Is -57 not equal to p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 127\/30 - 17\/5. Find the common denominator of n and -13\/30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2800 and 1064.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in three tenths of a micrometer?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - 9 - 3) + 9?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -65*w + 364. Calculate y(9).\nAnswer: -221","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b**4 + 3375*b**3 + 103707*b**2 + 280665*b = 0. Calculate b.\nAnswer: -27, -3, 0, 1155","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (p + 0*p - 2*p)*(2*p + 1 + 2 - 1) to v + y*p**2 + d*p and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 + 0)\/(-9 + 13)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -799*a + 16 = -815*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -10710, -10709, -10708, -10707?\n\"Answer: g - 10711","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 2 r when three letters picked without replacement from trrztruzzrzrrzzfrf.\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((3 - 3)\/(-2))\/(-3). Let v(h) be the third derivative of h**2 + 1\/240*h**5 + f*h**4 + 0*h + 0 + 0*h**3. Factor v(x).\nAnswer: x**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 16 + -11. Suppose 12*f = 43 + j. Suppose f*x = -2*u + 444, -380 = -4*x - 3*u + 66. What is the greatest common factor of x and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 7*j**2 + 6*j - 6. Let a(r) = r**2 + r - 1. Let w(g) = -6*a(g) + i(g). Let b(s) = 12*s**2. Calculate b(w(y)).\nAnswer: 12*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 9*x**3 + 7*x**2 - 7*x. Let d(m) be the third derivative of -7*m**6\/60 - 11*m**5\/60 + 11*m**4\/24 + 393*m**2 - 2*m. Calculate 5*d(n) + 8*u(n).\nAnswer: 2*n**3 + n**2 - n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 7 + 52 + -22 + 7\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 40 = -5*b, -5*b - 3*u - 3 = -2*b. Let z(y) = 8 - 1 - 5 + b*y. What is z(2)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*z - 11*z = 5979 - 7068 for z.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z. Let m be u(3). Let l = m + 1. Let r(n) = -n**3 + 3*n**2 + 4*n + 1. What is the units digit of r(l)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -336980838 + 336980838 + 498*v**3.\nAnswer: 498*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 15*r**3 - 5*r**2 + r - 5. Let a(d) be the first derivative of -2*d**4 + d**3 - d**2\/2 + 3*d - 467. Determine 5*a(f) + 3*t(f).\nAnswer: 5*f**3 - 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vvv when three letters picked without replacement from {u: 4, v: 4, s: 9}.\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c**2 + 7*c + 3. Let r(w) = w - 1. Let i(u) = -j(u) - 2*r(u). What is the units digit of i(-8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 665 minutes before 3:13 PM?\nAnswer: 4:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 79\/80 and -103\/50.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 10, h: 2}. What is prob of picking 2 n?\nAnswer: 15\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 328210*m**3 + 22037*m**2 + 8*m?\nAnswer: 1969260","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 22687528?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 898515 and 85485?\nAnswer: 615","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -245 = -750*g + 745*g. Calculate the remainder when 16217 is divided by g.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) 0.3 (b) -3 (c) 4 (d) -58 (e) -2.36\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the third derivative of 0 - 1\/18*s**4 - 1\/180*s**5 - 2\/9*s**3 + 5*s**2 + 0*s. Determine u so that n(u) = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -141 + 146. What is the third smallest value in -2\/9, 2, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2.197 - -5.72. Round l to the nearest integer.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.7 + 4.4. Let y = 3.3 + j. Which is the biggest value? (a) 0.9 (b) y (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.492269 rounded to two dps?\nAnswer: 0.49","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*w**2 + 5*w**2 + 32 - 44.\nAnswer: 5*w**2 - 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = -6 + 2. Let u be 0*((-1)\/(-2) + -1). Let o = q + u. Calculate the highest common factor of o and 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*p**4 + 2*p**4 + 3 - 1 - p**3 - p**3 to the form n*p + m + t*p**2 + k*p**4 + w*p**3 and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1 + -3 + -1 - -110. Suppose d = 5*r - 10*r. Is r equal to -21?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zzkk when four letters picked without replacement from {k: 5, z: 13}.\nAnswer: 13\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*-414966.\nAnswer: 829932","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 0.02 times -84\nAnswer: -1.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1406776 and 616.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 36*z**3 - z**2 - 16*z - 19. Calculate a(-2).\nAnswer: -279","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -244 - 79*f + 251 + 78*f. Calculate i(9).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k**3 + 27*k**2 + 218*k - 7084. Give p(24).\nAnswer: -124","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 60 a factor of 69653?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -145, -293, -445, -601, -761, -925?\nAnswer: -1093","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 3, -6641, -3, 4 in increasing order.\nAnswer: -6641, -3, -2, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 2, a: 2, e: 1, h: 1, g: 1}. Give prob of sequence rer.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4120481?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 24 = -4*f + 2*j, 0 = 3*j + 6. What is the remainder when 9 is divided by f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -40, 0, -0.2, 11\/7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l**3 - 7*l**2 + l - 2. Let v be g(7). Suppose 3*y + v*j + 14 = 0, -4*j = -y - 0*y + 18. Solve -4 = -0*i + y*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*l - 54 = 6*l. Solve l*r + 5 = -1 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.07 - -5.07. Let u = -144.7 - 7.3. Let z = u - -152.2. Sort s, z, -0.4.\nAnswer: -0.4, z, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 18 + 10 = 0. Let v = 6 + u. Suppose 4*j - r = 69, 6*j = 5*j + 3*r + v. Solve -3*h + 3*m = 2*m - j, m + 13 = 2*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzzgzgz. Give prob of picking 1 g and 1 z.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2 - 0. Suppose -1 + a = -c. Sort 1, c, 3.\nAnswer: c, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*v + 20*v = 0. Suppose -85 = -2*x - 5*q, v = 4*x + 4*q + q - 195. Calculate the highest common divisor of 22 and x.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 630 and 15610.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/15*4560\/144*-3.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 530?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*k + 0*h + 2*h = 25, -3*k - 2*h - 300 + 301 = 0 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:01 AM and 9:41 AM?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (11 - (-6)\/((-42)\/77))\/5. Which is greater: 1\/13699 or a?\nAnswer: 1\/13699","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*s - 3*y + 1 + 2, 5 = -s + 5*y. Suppose s = -2*v + 10, -o - 5*v + 32 = -64. List the prime factors of o.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p**2 + p + 1. Let n(o) be the first derivative of 5*o**3\/3 + 3*o**2\/2 + 17. Give n(u) - 3*w(u).\nAnswer: 2*u**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10636*r = 10641*r + 20. Let j(y) = 5*y - y + 1 + 1. Determine j(r).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the second derivative of -s**5\/20 + s**3\/6 + 9*s**2 - 107*s. Let a(o) = -o**2 + 1. Let c be a(1). What is the remainder when t(c) is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 + 16 - (-2 + 5 + -7)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 306928000 to the nearest one million.\nAnswer: 307000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2070 + 5761. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -5*w - 0. Let z be 1\/((-6)\/(-4) - w). Suppose -z*s = s. Which is the closest to 4? (a) 4 (b) -0.2 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -355 = 180*c + 84*c - 1147 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 296960?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w**3 - 14*w**2 + 41*w + 2. Let s be q(10). Solve 0 = -z + 2*p + 3, -4*z - 224*p + s = -226*p for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - (-13 + 10 + 0) - (-2 - -3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -10*o - 2*o**2 + 13*o**3 - o**2 - 6*o + 27 + 19*o - 2*o**2. What is the units digit of l(4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in u**3 - 31705 - 216*u**2 + 63405 - 31700 - 129*u**2.\nAnswer: u**3 - 345*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 786*j**3 + 8*j**2 + 1. Let h(g) = -1570*g**3 - 20*g**2 - 3. Give -2*h(s) - 5*k(s).\nAnswer: -790*s**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.02 and -329.\nAnswer: -328.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h - 2*h = 12. Let u be (4 - 1) + (h - 1). Solve -s + 24 = -u*i, -4*s - i = -s + 8 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1026433*m**3 - m**2 - 1062365 wrt m.\nAnswer: 6158598","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -36 + 29 - ((5 - 6) + 49 + 8).\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -9028, -8, 16 in decreasing order.\nAnswer: 16, -8, -9028","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 48 = 2*b. Let w = -54 - -92. Suppose n + 5*z = -b + w, 4*n - z = 46. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3 - -7. Let c(p) = -p**2 + 5*p. Let b be c(f). Solve -5*d = -b*d + 5 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 47. Let m(l) = -l**2 - 141. Calculate -7*g(p) - 2*m(p).\nAnswer: 2*p**2 - 47","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-10)\/(-30) - 6) + 6?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4710679 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by -316390503.\nAnswer: -4\/316390503","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 35*w - 109892 - 35393. What is the hundreds digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 228\/(-7581)*154\/418*19\nAnswer: -4\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 11 + -10. Let w = -3 - x. Let q = -5.1 - -5.5. Which is the biggest value? (a) q (b) w (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -851 + 879. What is the least common multiple of 8 and v?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 + 8*m - 4)*(3*m**3 + 0*m**3 + 0*m**3)*(-312 - 1495 + 3985 + 7653) to the form a*m**2 + x*m**3 + q + h*m**4 + n*m and give h.\nAnswer: 235944","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -25.5 + 25. Put h, 3, 0.4 in decreasing order.\nAnswer: 3, 0.4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8501 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -29 by 1.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put together -6 and -3.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 41\/108 - 169\/540. Let w(l) be the third derivative of 0*l**3 + 2\/105*l**7 - 1\/30*l**6 + 0 + 0*l - 27*l**2 + 1\/6*l**4 - z*l**5. Factor w(v).\nAnswer: 4*v*(v - 1)**2*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5*a**4 + 5*a**2 - 6*a - 3.\nAnswer: -60*a**2 + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence twty when four letters picked without replacement from {w: 6, s: 2, g: 2, r: 3, t: 2, y: 2}.\nAnswer: 1\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*a + 8932 = 2*n, -5*n = -3*a + a - 22330. Does 7 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 493 is divided by 55.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - m - 2 = 0. Is (2 - (127 + m))*-1 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 * 23.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63 = -7*n + 14. Let u = -13 + n. Which is the biggest value? (a) -5 (b) -4 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(3\/2)\/(m**(-4)*m*m)*(m**(2\/5)\/m)**(-11))\/((((m*m*m**(1\/4)*m*m)\/m)\/(m\/(m\/m**(-4))))\/(m**(2\/7)\/m)**(-43)) assuming m is positive.\nAnswer: m**(4699\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j\/(j**(-3\/4)\/j))**(1\/10) assuming j is positive.\nAnswer: j**(3\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 5 + -9 + 1 - -1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 284 + -4826\/17. Let q = -0.047 - 3.953. Which is the second biggest value? (a) 3\/2 (b) q (c) g (d) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -237 * 3.5.\nAnswer: -829.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-60)\/16 - (1479\/(-132) - -6)?\nAnswer: 16\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -363 (base 11) in base 10?\nAnswer: -432","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.004973 to 4 decimal places.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4809 - 4669. What is the greatest common divisor of 350 and p?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2\/(-14))\/((-1)\/(35\/(-30))). What is the biggest value in -1, 4\/9, a?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 80586?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 24502, 49010, 73508, 97990, 122450, 146882?\nAnswer: 171280","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 12551 + -1229206\nAnswer: -1216655","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*f - 3*f - 3*f)*(-11 + 30*f + 11)*(-15 - 4 + 0).\nAnswer: 1140*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence trz when three letters picked without replacement from {z: 1, t: 1, r: 12}.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/5 of a millennium in months?\nAnswer: 31200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor k + 15*k**3 - 1 - 17*k**3 + k**4 + 3*k - 2*k.\nAnswer: (k - 1)**3*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-five quarters of a microsecond in nanoseconds?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 29 + -27. Suppose 5*n = -2*f + 474, b*n + 0*f - 2*f = 198. Does 12 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p**2 + 6*p - 1. Let x be m(6). Let i be (-9)\/(-27)*(x + 1). Let a(k) = -k**3 + k - 7. Give a(i).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15 + (-40 + 8 - -20) + 6.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n when two letters picked without replacement from {n: 2, f: 4}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8 + -9. Let n be a + 1\/((-2)\/(-10)). Suppose n*p + 3*v - 162 = p, -3*v - 150 = -3*p. Is p a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13 - 13 + 3*n)*((-1 - 1 + 3)*(2*n - 2*n + n - 2*n + n + 3*n + (0 - 4 + 2)*(0*n + n + n) + 0 - n + 0 - n + 0 + 0) + 4*n + 4*n - 2*n).\nAnswer: 9*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -975*h**5 - 2820*h**2 + 10481217*h wrt h.\nAnswer: -19500*h**3 - 5640","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:09 PM and 6:29 PM?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = 113 + 25. Which is the second smallest value? (a) 5 (b) u (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3235977 is divided by 25682.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48 = 15*r - 17*r. Let i be 10 + -13 - r\/(-2). Suppose i = -o + 4*o. Solve -o = w - 2*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -82 + 85. Suppose -q*b + 18 = 4*w, 0*w = -w + 5*b + 16. Let i(o) = 9*o - 4. Let a(m) = -2*m + 1. Give w*i(y) + 26*a(y).\nAnswer: 2*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x**3 - x - 12. Determine f(0).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 13 = -2*t - 5, 5*t + 2*v = 4. Suppose 2*b = -n + 76, n + 5*b - 42 = 22. Suppose t*i + i = n. Is i a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u**2 + 2*u + 3. Let a be t(7). Suppose 2*c - a = -c. What is the greatest common divisor of 55 and c?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 7*u - 2*u + 191 = 0, -4*s - 2*u = -298. Is 9 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p**3 - 3*p**2 + 2*p + 3. Let g be u(-4). Let m = -6 + g. Suppose 0 = a + m, 0 = -j - 5*a - 6 - 16. Is 2 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -0.6, 7, -1\/5, 3?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1087\/390 - -19\/30. Let u = 349\/156 + y. Let n = 0.34 + 0.06. What is the closest to 1 in 5, u, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4789 divided by -1\nAnswer: -4789","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 14\/9, 2.8, -0.16?\nAnswer: -0.16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(175)\/sqrt(5) + sqrt(35))*-2 - (sqrt(35) - sqrt(350)\/(-2*sqrt(10))))\/(-2*(sqrt(7) + -2*sqrt(1008) + (sqrt(7) - sqrt(21)\/sqrt(3)*-2))).\nAnswer: -11*sqrt(5)\/80","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 1\/11 (b) 2\/9 (c) 7\/194\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/40051 < 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2370 (base 8) to base 7.\nAnswer: 3465","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 116\/(-3) - (-3392)\/1272?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*(sqrt(117) + 2*sqrt(117)*-1 + sqrt(117)))\/(-3*3*sqrt(225))*6)**2*5.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 53 is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 647*v**3 - v**2 - 4*v + 9. Let f be k(3). Let t = f - 279215\/16. Let n = -10291\/34 + 302. Find the common denominator of n and t.\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5803 and 48881.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6, -124, -504, -1260, -2518?\nAnswer: -4404","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 920 and 2920?\nAnswer: 67160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10059 is divided by 19?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yzzyzzyzyz. Give prob of picking 2 z and 2 y.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v**2 - 11*v. Let a be l(-11). Suppose a*q + 8*q = 225000. Let g be 16*(-8)\/(-10)*q. Round g to the nearest one hundred thousand.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10\/3*b**3 + 40\/3*b - 52 - 1\/3*b**4 + 43\/3*b**2 = 0.\nAnswer: -13, -2, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the second derivative of -m**5\/20 + m**3\/2 - m**2\/2 + 77*m + 2. Suppose 5*j - 2*d = -0*d, 4*j - 3*d = -7. Give b(j).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/3468 and 7\/12?\nAnswer: 3468","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2453 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 122*o + 5214. Let f be z(-41). Solve f - 229 = -17*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1572*m**3 + 0 - 1578*m**3 + 10 + m in the form v*m + p*m**3 + o*m**2 + c and give p.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = -4*d - 7*n + 5, 4*d = -4*n. Suppose 8*f - 3*f = 35. Solve -3 = -d*s + 3*y, 2*s + 4*y = f*s - 4 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1584 is divided by 329?\nAnswer: 268","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k + 2. Let s(r) = 14*r**2 + 18*r**2 + 19*r**2 - 66*r**3 - 53*r**2 + 6 - 3*r. Let q(v) = -s(v) + 3*z(v). Find the third derivative of q(y) wrt y.\nAnswer: 396","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j**2 - 2*j + 64. Let p be (1 + (-17)\/(-3))*(-12)\/(-4). Suppose d - 8 = -2*q, d + 5*q = -0*d + p. What is the tens digit of o(d)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -198.700616536 + -223.\nAnswer: -421.700616536","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -78 + 38 + 40 + 144*q**2 to c*q + l + s*q**2 and give s.\nAnswer: 144","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put together 775869716862 and 5.\nAnswer: 775869716867","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 40 and 530.\nAnswer: 2120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 2*i**2 + 4*i - 2. Let u be 5*(1 + 36\/(-20)). Calculate the remainder when 53 is divided by q(u).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -362 + 361.6. What is the third smallest value in 1, -3, b, -3\/7?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2.04 - 2.03999444. Round n to 6 dps.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -203*k**2 + 6*k**3 - 186*k**2 + 433*k**2.\nAnswer: 6*k**3 + 44*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of 8501.14 and 534.\nAnswer: 4539608.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1887333?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -12*x + 8. Let p be l(-4). What are the prime factors of p\/(2 + 2) + 1?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m**3 + 5*m**2 - m - 5. Suppose -4*b = -k - 17, -5*b + k + 19 = -2. Let u be h(b). Differentiate -2*p - 2*p - 3 - u*p + 3*p with respect to p.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 55.98439 years?\nAnswer: 0.5598439","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -14.8 + 8?\nAnswer: -6.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the third derivative of -p**6\/120 - 41*p**4\/24 - 9*p**2. What is the second derivative of c(q) wrt q?\nAnswer: -6*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/((340\/(-580))\/(-17)). Solve -k*i - 3*d - 4 = -27*i, d = -i - 1 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10*2*9\/36*1.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 154 + 777 = r, 0 = -s + 4*r + 628. Is s a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1669, 1, 5, -4.\nAnswer: -4, 1, 5, 1669","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 1032 = 9*n. Calculate the highest common factor of n and 43.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j - 4*p - 5, 2*j - 3*p + 8*p = -55. Let r = 8 + j. Let c = r + 10. Solve 2*q + c = -3 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/((760\/(-84) - -3) + 6). Solve z - 17 = -4*q, 0 = 5*q - 2*z + 3*z - o for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-35 - (2 - 9)) + (-3 - -3)?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 275477280?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -31*v + 5. Let z be q(-3). Suppose -2*b + 4*b = z. Calculate the greatest common divisor of b and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3348 by -36.\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -19*n**3 - 6*n**2 - 5*n - 3. Let h be u(-1). Solve -10*y = -h*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2 - 166960c?\nAnswer: -166960e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:30 AM and 6:58 AM?\nAnswer: 328","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 507426 a multiple of 69?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dndrdddndndddrnd. What is prob of picking 2 n and 2 r?\nAnswer: 3\/910","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 1, -10, 42, 43, 2 in decreasing order.\nAnswer: 43, 42, 2, 1, -3, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 126106?\nAnswer: 2, 17, 3709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2503 + -1210. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 10.5, 0.3, 146, 0.04, -2\/11?\nAnswer: 146","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6 + 4 + 13 + 10)*(d + 7 - 7) as r*d + j and give r.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 6, g: 2, v: 1, s: 1, q: 2}. Give prob of picking 1 g and 2 u.\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 155.86652 to one dp.\nAnswer: 155.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -164585, 2\/5, -1\/9?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 61\/3 (b) -165 (c) 10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4942403 a multiple of 535?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.57 + -0.71. Let c = 0.24 + f. Sort 1\/3, -2\/11, 2\/5, c in decreasing order.\nAnswer: 2\/5, 1\/3, c, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -67\/50 and -61\/510380.\nAnswer: 2551900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -97 - -45. Let z = o + 164. Let b = 753 - z. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 37, 3, 12, 9 in increasing order.\nAnswer: -7, 3, 9, 12, 37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2180203 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0207391286 to four dps.\nAnswer: -0.0207","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -850 - -1194. Let f = p + -241. Let n = 105 - f. What is the third smallest value in -1, 0, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -65855795 and -65855794 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the third derivative of 0*t**3 + 3*t**2 + 0 + 5\/24*t**4 + 0*t. Let w(c) = c. Calculate q(w(g)).\nAnswer: 5*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -2*w**3 - 5*w**2 + 2*w - 21. Suppose 26*z + 77 - 3 + 56 = 0. Let r(o) = -o**3 - 3*o**2 + o - 10. What is z*r(s) + 3*f(s)?\nAnswer: -s**3 + s - 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1155 and -0.15?\nAnswer: 173.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-2*v + 4*v - v)*(4*v - 3*v + v) + 7*v**2 - 2*v**2 - 2*v**2)*(v - 6*v + v) to the form z*v**3 + s*v + m*v**2 + x and give z.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 445*x - 13 = 467*x - 57. Put x, 1\/4, 4, 98 in ascending order.\nAnswer: 1\/4, x, 4, 98","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 82 (base 13) to base 4\nAnswer: 1222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6605?\nAnswer: 5, 1321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 11 - 6. Suppose -q*x - 11 = 4*y - 1, -x - 2 = 5*y. Let m be 4\/x*84\/(-8). What is the highest common divisor of 84 and m?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 168?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 21602899 to the nearest integer?\nAnswer: 4648","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4680878?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -250227, -1000979, -2252255, -4004055?\nAnswer: -6256379","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (196\/5)\/(955\/(-900) - (-160)\/144). Calculate the greatest common divisor of 343 and z.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2 (b) -0.3 (c) 4\/347 (d) -0.4 (e) 8\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 410*b**2 + 69*b - 412*b**2 - 20*b**3 + 134*b.\nAnswer: -20*b**3 - 2*b**2 + 203*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1 - 7\/3)\/((-56)\/252). Suppose 3*v = -k*v + 9. Let z = -20 + 89\/4. Is z at most v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -123 = 3*g - 684. Let q = g - -22. What is the hundreds digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 o when two letters picked without replacement from {h: 4, q: 1, b: 1, l: 1, o: 1}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5419155 and 105.\nAnswer: 5419155","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 74095 and 310300?\nAnswer: 158563300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 563504*b + 560 - 563501*b - 560.\nAnswer: 3*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.09 in -69, 0.5, 0.4, -1\/4, -2\/31?\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1105406, -4421529, -9948404, -17686031, -27634410, -39793541?\n\"Answer: -1105376*a**2 + 5*a - 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(r\/r**1))**(-2\/11)*((r*(r**(-1\/4)\/r)\/r)\/r*r)**44)\/(((r*r**(2\/11))\/r)\/r**(-3\/13))**18 assuming r is positive.\nAnswer: r**(-8953\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 71 - -10236721?\nAnswer: 10237012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 50315220 to the power of 1\/5, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the second derivative of -h**4\/4 - h. Let y(f) be the second derivative of 0*f**3 - 4*f + 0*f**2 + 0 - 1\/6*f**4. What is o(y(n))?\nAnswer: -12*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bs when two letters picked without replacement from lbplsblebglbl?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 440*h**2 - h + 25. Let s be a(5). Suppose 3*y + 4*f = s + 16249, 3*y + f - 27272 = 0. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2737 is divided by 56.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 a factor of 2475?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 0 - 1c5?\nAnswer: -1c5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from twwwgtgggwtxwtwxymwy. Give prob of picking 2 y.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 140*n**3 + 5*n**2 - 5*n + 246. Let f(q) = 141*q**3 + 4*q**2 - 4*q + 243. Let d(y) = 5*f(y) - 4*j(y). Differentiate d(t) wrt t.\nAnswer: 435*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1289824947 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 130149*m**6 + 2*m**4 + 2*m**3 - 81*m**2 + 6119*m?\nAnswer: 15617880*m**3 + 48*m + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a**2 + 22*a - 57 = 0 for a.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -9*f - 117. Determine i(-10).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 264883*z**2 + 430051 wrt z?\nAnswer: 529766*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.65, -1.5, 1\/2, 3?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (35 - 37) + (2 - (8 - 1))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 572, 609, 646, 683, 720, 757?\nAnswer: 794","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4\/5, 68, -0.12?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 741 = 69. What is the hundreds digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 558 minutes after 1:00 PM?\nAnswer: 10:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -241128, -1929072, -6510636, -15432630, -30141864, -52085148, -82709292, -123461106?\n\"Answer: -241135*m**3 + m + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*f**4*r**3 + 8*f**4 - 2631*f**2 + 2373*f*r + 58*r**3 wrt f?\nAnswer: 24*f**2*r**3 + 96*f**2 - 5262","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -0.5+-171172.406764\nAnswer: -171172.906764","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from llyyyll. What is prob of sequence yly?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 113362260 and 5280?\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -304*y + 42480 = -661*y - 1059*y for y.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*q - 5*q**2 - 7*q)*(-2 + 3 - 3).\nAnswer: 10*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -3*k - 14. Let b(d) = -7*d - 5. Let x be b(k). Solve x*t - 10 = 7*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 102041 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -10 + 22. Let u = 50 - -76. Suppose -630 = -d*c - u. Is 85\/2 smaller than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3.4 + -17.4. Let s = -1493 - -1475. Let q = d - s. Which is the nearest to -1\/3? (a) 0 (b) q (c) 1\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*g - 1 - 5. Suppose 10 = -g*c - 8. What is the units digit of ((-20)\/15)\/(c\/117)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 532081 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 111652898 by -2.\nAnswer: -55826449","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is o in -4*o**2\/7 - 64952*o\/7 + 64956\/7 = 0?\nAnswer: -16239, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 63\/13 - 3847\/91. Let x = n - -38. Suppose 0 + x*j**2 - 12\/7*j = 0. Calculate j.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -b**3 + 9*b**2 - 8*b + 3. Let p(x) = x**3 - 5*x**2 + 2*x - 3. Let g be p(5). Does 15 divide r(g)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1, 2, -6, 4?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9*-3*(-1)\/9.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 2, v: 3, u: 1, n: 1}. What is prob of sequence vx?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f**3 + 3*f. Let u be (83 + 9 - 2)*286\/5. Let t(j) = 0*j**2 - 5156*j**3 + 0*j**2 + 28*j + u*j**3. Determine -56*d(r) + 6*t(r).\nAnswer: 8*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the first derivative of -i**3\/3 + 3*i**2 + 7*i - 6. Let u be g(5). Let v be (u\/(-9))\/((-1)\/6). Solve -c = c + v for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 364 + -277. Calculate the lowest common multiple of 3 and b.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*b - b - 10. Suppose -5*g + 5*z - z + 26 = 0, -4*z = -b*g + 20. What are the prime factors of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2058\/(-1617) + (-3857)\/(-1881)\nAnswer: 7\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(40)\/sqrt(8) + 2 + -6*sqrt(405))**2.\nAnswer: -84294 + 1272*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -2 - ((1 - 3) + -1). Let z = o - -7. Solve 2*a - 6*a = -z for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 15980, 1 in descending order.\nAnswer: 15980, 5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*l - 43*l = -174. Solve -13*q + l*q - 40 = 0 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -26\/63 and 73\/714.\nAnswer: 2142","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 40 = -5*y, 0 = -5*y + a - 4*a. Suppose -25 = -y*b - 7. Calculate the least common multiple of b and (-2 - (-1 + -1)) + 8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 <= -592\/11345?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.08 + -0.68. What is the smallest value in 0, -0.4, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -3140, -3146, -3156, -3170, -3188?\n\"Answer: -2*t**2 - 3138","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*k**4\/11 - 94*k**3\/11 - 760*k**2\/11 + 10504*k\/11 + 48672\/11 = 0. Calculate k.\nAnswer: -26, -4, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 3*z - 7. Let m(y) = -7*y + 14. Let d(t) = -6*t**2 + 1. Let g be d(-1). Let p(k) = g*x(k) - 2*m(k). Find the first derivative of p(u) wrt u.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 526 minutes before 1:17 PM?\nAnswer: 4:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 3*t + 1 = 0, 16 + 9 = 5*t. Suppose p*q - 93 = 67. Solve 5*c - q = 5*r, 6 = -4*r + 2*c - 2 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -778, -3089, -6940, -12331, -19262, -27733?\n\"Answer: -770*p**2 - p - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 41090087 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -24 + 26. Suppose -3*s = -y*k - 2, -s - s = -8. Suppose -3*w + 10 = w + 2*b, 0 = -4*b - 20. Solve w*c = -4*z + 16 + 9, 0 = -k*c + z + 25 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1403167584 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((-2*sqrt(4032) + sqrt(63))\/(sqrt(243)*2 + sqrt(243)))\/(2*sqrt(540)\/sqrt(5)).\nAnswer: -5*sqrt(7)\/108 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n + 14. Let t be u(6). Suppose t*h = -h + 54. Solve 0 = -l + 2*p + h, -3*p = 3*l - 2*p - 4 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/(-10) - 168\/(-40). Let j(s) be the third derivative of 0 - 1\/12*s**h - 1\/30*s**5 + 2\/3*s**3 + 2*s**2 + 0*s. Determine i, given that j(i) = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1730012 in 0.2, -1, 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 0.9 * 1.88\nAnswer: 1.692","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - (6 - 5) - -11?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4.2, -0.004, -2, -6, 1?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n**3 + 17*n**2 + 103*n + 1492. What is x(-16)?\nAnswer: 100","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*f**2 - 68*f**3 - 4*f**2.\nAnswer: -68*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h + 2. Let t be l(-1). Suppose 4*w = 5*b + 17, 5*w + b - 13 = t. Calculate the highest common factor of 24 and w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31 - 87 = -2*s. Suppose 5*l - 152 = 3*l. Suppose 4*i - 4*w = 236, i = 2*w + l - 13. What is the remainder when i is divided by s?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(-15))\/(12\/20)?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -76 = 6*y - 172. Suppose 3*s + m - 7 = 0, -3*s + 2*m = -0*m - 4. Suppose -s*j = 3*j - 20. Calculate the highest common divisor of j and y.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bolob. What is prob of picking 2 o and 1 l?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 117*g + 337*g**3 + 0*g**2 + 0*g**2 - 441*g**3 + 2 + 57*g - g**5 wrt g.\nAnswer: -20*g**3 - 624*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aaffaafaavmvv. Give prob of picking 1 v and 3 f.\nAnswer: 3\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2 - (-11)\/(-3))\/(235\/(-846)). Suppose -3*x + 4*t + 203 = -t, 2*t = 5*x - 332. What is the greatest common factor of x and n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 2, v: 7}. Give prob of picking 2 x.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 18*l - 66. Let t(u) = 2*u**2 + 59*u - 19. Let s be t(-30). Is b(s) a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -68 + 70. Suppose 5*v - 3*s - 5600 = 0, -v + 2*v = x*s + 1127. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-20)*(-872)\/654.\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-140)\/(-1)*(-67)\/67*(-1180)\/1652?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*p**3\/7 - 21036*p**2\/7 - 36876108*p\/7 - 21547939108\/7 = 0. What is p?\nAnswer: -1753","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24310 + 24310 - 532*x - 3963*x.\nAnswer: -4495*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of -11 and 30356.\nAnswer: -333916","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s + 2. Let a be o(1). Let k = -10 - -15. Suppose 0 = k*b + 15. Put 2, a, b in ascending order.\nAnswer: b, a, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - 4 - -3) + 1?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10 - -100100110011000111?\nAnswer: 100100110011001001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i - 2. Let k be y(-3). Let n be (-26 + 1 - -2)\/k. Let t = 54 + n. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*q + q + 0*q + (-4 - 2 + 5)*(0 + 1 + 1)*(-2*q - 4*q + 4*q))*(-5*q**4 - 34*q**4 - 225*q**4).\nAnswer: -1848*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 2.6*0.5506\nAnswer: 1.43156","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.4 and -26962.3.\nAnswer: 10784.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(-4 + sqrt(288) + -1 + sqrt(288) + sqrt(288)) + (1 + sqrt(288) + -1 - (1 + sqrt(288))*-5) + 0)**2*-1.\nAnswer: -41497 + 1440*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*f + 3*p - 10, -2*f + 2*p + 3 = -17. What is the units digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -13008061*o**4 + 467*o**2 + 121*o - 60.\nAnswer: -312193464*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 48554243 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -461 + 201. Let s = -172 - w. Is 29 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14430 is divided by 401?\nAnswer: 395","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 10\/(-10)*(-1550)\/(-62)\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1969*q**3 + 4041626*q**2 - 4041626*q**2 - 2191 wrt q.\nAnswer: -5907*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/8 of a litre in millilitres?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ggvfggfqxxfqggqgf. Give prob of picking 2 q and 1 f.\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.28918038 and 0.2.\nAnswer: 0.057836076","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 17\/23 and -99\/10?\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10603 = 418*u - 15754 - 12405 for u.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*t - 3149 + 3123 = 0 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*a - 748*f + 743*f = -70, -8*f + 39 + 69 + 58 = -4*a + 54 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that -3854*m**4\/25 - 354572*m**3\/25 - 1372392*m**2\/25 - 1358032*m\/25 - 1408\/25 = 0.\nAnswer: -88, -2, -2\/1927","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -17*o**2. Let i = 1 + 11. Let n be (4\/(-6))\/(5\/((-450)\/i)). Let h(l) = l - 5. Let w(g) = g - 7. Let t(z) = n*w(z) - 7*h(z). What is t(f(c))?\nAnswer: 34*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - 0 - (14 - (-8 + 21))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -235350790*s**4 + 200393852 wrt s?\nAnswer: -941403160*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5448004 is divided by 321.\nAnswer: 313","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the third derivative of a**9\/126 - 41*a**5\/60 + 41*a**2. Find the third derivative of z(c) wrt c.\nAnswer: 480*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -12, -306, -28.\nAnswer: -306, -28, -12, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s + 2. Let w be f(0). Suppose 4*c = w*c. Solve -u - 2*t + 7 = c, 2*u = 3*u - 5*t + 28 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3625 and 1769?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -78*z = -74*z + 4, 3*i - 1 = z for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 3*j**2 + 26*j - 40. Let b be -7 + 2 + 1 - (3 - -3). Let v be i(b). Let o be 2 + -2 + 1 + 2. Solve -o*d = -3*f + 2*d - 5, v = f - d - 1 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -99774, -99773, -99772, -99771?\nAnswer: -99770","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13774047.\nAnswer: 3, 7, 93701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -586.386 to the nearest 10.\nAnswer: -590","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 203 (b) 1\/5 (c) -6\/13 (d) -18 (e) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 - (3 + (1 - 3))) + -3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -2*n**2 - 215*n - 71. Calculate the remainder when v(-87) is divided by 22.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 times 621?\nAnswer: -5589","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -3, -4, 59, 3.\nAnswer: -4, -3, -2, 3, 59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 - 0. Let u = n + 0. Let p = -0.5 - -2.5. Which is the smallest value? (a) p (b) -2\/13 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 5*p + 17 = -5*x, 3*x = 2*p - 32. Let t = -7 - x. Is ((-4)\/t)\/((-8)\/1988) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32838.\nAnswer: 2, 3, 13, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(128))**2*1.\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the first derivative of v**4\/4 + 10*v**3\/3 + 2*v**2 - 5*v + 1. Is g(-8) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 35029143 and 12465?\nAnswer: 2493","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-6)*-4)\/((-154)\/(-231))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that -3*v**2 + 26376*v - 57974448 = 0.\nAnswer: 4396","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 5*y = -3865, 2*d - 3*y = -505 - 1016. Let u = d + 795. Which is bigger: u or -1\/2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9 - 34 - (-5 + 35)\/(-3)\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 12, 1431, 5, 4, 24, 1 in ascending order.\nAnswer: -1, 1, 4, 5, 12, 24, 1431","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -3*l + 6. Let k(z) = -z**3 + z**2 + 3*z - 2. Let s be k(2). Suppose s*x + 5*g = x - 23, l*g = -12. Is x a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c + 3*x = -2*c + 2, -5*x = 4*c - 26 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 3*o + 3*o + 73*o**2 + 0 - 58*o**2 + 7*o to the form k*o + t*o**2 + q and give t.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the second derivative of 0*r**2 + 251 - 2*r + 0*r**3 - 11\/12*r**4. Let g(a) = 2*a + 0*a - 5*a. What is g(o(w))?\nAnswer: 33*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 381 - 388 - (-1 - -22)?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/(-3) + (-2)\/(-3). Let d(y) = -6*y**2 + 4*y - 12. Let v(f) = f**2 - f + 1. Let h(r) = -d(r) - 5*v(r). Calculate h(b).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-126)\/(-147) - (-6)\/(-7). Solve -4*c + 0*c + 12 = t for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1593763273 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1\/(-1) - (-5 - -1). Suppose g - 54 + 20 = -w*r, 0 = -r. What is the units digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 445.334 litres to millilitres.\nAnswer: 445334","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 330 + 642 = -56*u + 20 for u.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (146*n - 16*n - 19*n)*(-n**2 - 2*n**2 + n**2)*(4 - 3 - 2).\nAnswer: 222*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21893.\nAnswer: 21893","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - (-11 - -14 - 15)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -213451\/344 + 133632\/215. Let d = 1\/344 + g. Find the common denominator of 143\/36 and d.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 7*a + 1. Let m(g) = 3*g**3 + 54*g**2 - 57*g - 3. Let c be m(-19). Calculate k(c).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.2215 * 0.48\nAnswer: -0.10632","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 651309?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3 + 6. Let h be (-1 + (-141)\/(-135))*5. Sort f, h, -0.1 in increasing order.\nAnswer: -0.1, h, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33*g - 23*g + 22*g - 9*g - 23*g.\nAnswer: -66*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -4*s**2 + 9*s + 1. Let l be o(8). Let q = l + 362. Does 13 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0 - 56\/(-6)*(-8 + 11). Suppose -4*o = z - 6 - 6, 4*o + 5*z = p. Calculate the remainder when 179 is divided by (-79)\/(-3) - (-1)\/(-6)*o.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -w**2 + w**5 - 59*w - 11*w**4 + 20*w**4 - 3*w**3 - 9*w**4 wrt w.\nAnswer: 60*w**2 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 + 4*l**2 + 5 - 4.\nAnswer: 4*l**2 + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 12181002?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7 + -3. Let o be w\/(-26) - (-41)\/13. Suppose 0 = -0*l + o*l - 291. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 58\/45 and 13\/475.\nAnswer: 4275","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*f + 4 + 24 = 0 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -204 + 938*b**2 - 918*b**2 - 211 + 415.\nAnswer: 20*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -16 (base 16) to base 7\nAnswer: -31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*(sqrt(726)*-1)\/((sqrt(24) + (sqrt(24) - sqrt(120)\/sqrt(5)))\/sqrt(12)) + -4)*-2)**2.\nAnswer: -704*sqrt(3) + 5872","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 209?\nAnswer: 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 2*q**2 - 4 - q**2 - 2*q**2 - 10*q. Let t be l(-9). Let y be 6*(-6)\/45*5. Sort -2, t, y in ascending order.\nAnswer: y, -2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 98 a factor of 1654?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5 or 166\/29?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -636*j**2 + 380 + 10681*j - 10681*j with respect to j.\nAnswer: -1272*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 153302.9926 - 153282. Let k = 288 + -309. Let v = k + s. What is v rounded to three dps?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 191048203, 382096400, 573144595, 764192788, 955240979, 1146289168?\nAnswer: 1337337355","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 94443545631 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 216512?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*o**3 - 2*o**3 - o**3)*(665 - 220 - 223 - 1412*o - 222).\nAnswer: -1412*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 29\/4 - 637\/196. Let s be 0\/1 + -2 - -1. Let g be (5\/(-1))\/(-1 + s). Which is smaller: g or h?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3 + -2.1. Let c = -0.9 + n. Which is greater: c or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 115590 and 1425610?\nAnswer: 4276830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -4*c**2. Let i(l) = 5*l. Let j(n) = 51*n. Let m(g) = -21*i(g) + 2*j(g). Determine k(m(b)).\nAnswer: -36*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 402 - 402. Suppose 4*y = -12, 3*a + 3*y + y - 933 = d. Is a a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-8)\/12 + (-22)\/(-6))*161 is divided by 44?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1902516?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = -3*m + 3. Suppose -j + 9 = k, -2*k + 7*k - 3*j - 13 = 0. Suppose -6*d - k = -d. Is m > d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -16 (b) 0.1853 (c) 34\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8811 and 15?\nAnswer: 44055","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -56*s. Let j(t) = -115 + 323 - 124 + 5*t - 2*t - 112. Determine j(w(n)).\nAnswer: -168*n - 28","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-16)\/(-6)*387\/(-172). Let l(h) = -h**3 - 13*h**2 + 13*h - 23. Let m be l(-14). Sort d, 3, -2, m in increasing order.\nAnswer: m, d, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -149, -2\/7, -4.\nAnswer: -149, -4, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*o + 3*o + 36. Calculate the smallest common multiple of -24*13\/52 + 46 and o.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 7, 33, 79, 145, 231, 337?\n\"Answer: 10*g**2 - 4*g + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/6*2\/6*-8?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 5*q = -134, 12*q - 11*q = -2. What is the closest to o in 1, 0.4, 0.3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -61\/3015 and -51\/225790?\nAnswer: 2032110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*m + 14 = -7. Let w be (-831)\/(-6) - (-6)\/4. Suppose 3*h = -h + w. Solve -3*c = -5*o - h, -11 = -3*c - m*o + 2*o for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 1\/4, -0.2, 2\/17, 2\/7, 11?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -46*o - 3. Let g be l(-1). Suppose -82 = -u - g. Find the third derivative of u*c**2 - 4*c**3 + 44*c**2 - 87*c**2 wrt c.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 68 - 68.132. Let v = -0.232 - b. Put v, -3, 1\/2, -0.8 in descending order.\nAnswer: 1\/2, v, -0.8, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-490)\/35)\/((-21)\/9)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 divided by 3730.\nAnswer: 3\/1865","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1010101111111011010 + -1001011?\nAnswer: -1010110000000100101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 2*m**2 - 1. Let b be a(-4). Solve -6*j - b + 7 = 0 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 37\/2 of a week?\nAnswer: 3108","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*j + 6*j - 90. Suppose -5 = 5*a - j. Solve -26 = -4*h + 3*i - 2, -2*i = a*h - 7 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -20.67 not equal to 10167?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 3081\/(-351) - -8 - (-1)\/((-9)\/(-4))?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = k - 10. Suppose -5*y + 9*w - 4*w = -75, k*w + 40 = 3*y. Calculate the lowest common multiple of 3 and y.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 263108 is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the first derivative of l**4\/4 + 2*l**3\/3 - 3*l**2\/2 - 6. Find d such that o(d) = 0.\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = g**3 + 30*g**2 - 300*g + 155. Let b be j(-38). Determine f so that 0 - 3\/7*f**b - 108\/7*f - 36\/7*f**2 = 0.\nAnswer: -6, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in one sixth of a hour?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2898378 a multiple of 126?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 38 - 18. Suppose 9*q + 3*m - u = 4*q, 0 = 4*m. What is the second derivative of 2*v + 4*v - 3*v**2 - q*v - v wrt v?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 1632*w + 2809. Give l(-2).\nAnswer: -455","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7 - -9. Let f = q - 16. Let m = 0 + 0.1. Which is the nearest to m? (a) 2\/9 (b) -0.2 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -a - 9*q + 13*q + 542, 2*a - 4*q - 1096 = 0. What is the hundreds digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -4*b**3 + 154*b**2 - 85*b + 227. Determine d(38).\nAnswer: -115","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/3 (b) -9 (c) 1\/10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 188*q - 183*q = -15 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -31*f - 245. Calculate n(-9).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50*m + 28 = 46*m - p, -22 = 5*m - 2*p for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -13 + 14. What are the prime factors of (m\/(-2))\/(6\/(-1080))?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -173 - -177. Suppose -2*f - 1218 = -2*j, -2*j - 6*f + 1214 = -v*f. Does 20 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18155491?\nAnswer: 31, 61, 9601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -6 + -10 + -12 + 10 + -9 + 7\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17 = 3*r + 5*w, -381*w - 11 = 3*r - 382*w for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 2077 divide 370601770?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by 1?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2.01 - 0.01. Let z(f) = -f**3 - 4*f**2 - 4*f. Let j be z(-3). Let m(q) = -q**3 - 5*q**2 - q + 13. Let y be m(-4). What is the closest to 2\/5 in j, k, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -30.13 + 29.13. Which is the fifth biggest value? (a) -0.5 (b) -0.06 (c) -10 (d) t (e) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30 (base 5) in base 12?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the second derivative of -19*d**4\/12 - 22*d. Let g(k) = -k**2. Give g(w(n)).\nAnswer: -361*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1661*v**2 - 756*v**2 + 2*v - 2150*v**2 + 1 to d*v**2 + s + n*v and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = 8, -2*n = -4*x + 2*n + 88. Let v = -2 + x. List the prime factors of v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when -563*(-1 - 1) - (9 - (-70)\/(-5)) is divided by 16.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 504 minutes after 5:31 PM?\nAnswer: 1:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 123 and 631154?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 22051?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 391595584.\nAnswer: 2, 29, 101, 2089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3096290388.\nAnswer: 2, 3, 19, 37, 367033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -2*y - 3. Let l be p(-3). Solve -l*u - u = 0 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -3394 + 3394 + g**2. Let q(f) be the first derivative of f**3\/3 + 1. Give q(p(r)).\nAnswer: r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-1)\/5)\/(3\/2). Let m(z) = -z**3 - 6*z**2 - 6*z - 5. Let n be m(-5). Let d be -1 + -2*(1 - n). What is the closest to 3\/4 in d, -0.2, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 110*n + 14098 = -632*n for n.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8039 is divided by 222.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 36 - 71\/2. Let n = 23.81 - 1.21. Let j = n - 23. Which is the closest to f? (a) -2 (b) 2 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -47\/389038 and 109\/20?\nAnswer: 3890380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 6*k**2 - 4*k - 3. Suppose -84 = 105*r - 126*r. Let s(j) = -6*j**2 + 3*j + 2. What is r*s(o) + 3*a(o)?\nAnswer: -6*o**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 3433857781?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2291 = 3*y - 2578. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1212 (base 5) to base 10\nAnswer: -182","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oywo when four letters picked without replacement from yyyyoowoooooyf.\nAnswer: 5\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 51*a - 51*a + 3*a**2 + (-90*a - 7446 + 7446)*(0*a + 2*a - 3*a) as u*a**2 + b + x*a and give u.\nAnswer: 93","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -400, -402, -404, -406, -408?\n\"Answer: -2*t - 398","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at least as big as -2\/20853?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q + 35 - 38 = 0 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k = -o - 5, -5*k = -k + 4*o + 20 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -101011111111010001010100 (base 2) to base 15\nAnswer: -102ba68","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 10*c**2 - 21*c - 1643. What is the tens digit of l(-40)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2) - (sqrt(32) + -2 - sqrt(2)) - (sqrt(2) + sqrt(8)\/(3*sqrt(4))))**2 - ((sqrt(72)\/(sqrt(12)\/sqrt(3)))**2 - sqrt(18) - (2 + sqrt(162))).\nAnswer: -4*sqrt(2)\/3 + 92\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11320?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p**2 - 5*p + 3. Let n be h(7). Suppose 37 = 2*d + d - q, -3*d - 4*q = -n. Let x = 355 - 349. Calculate the remainder when d is divided by x.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 19053.5 from 16462.\nAnswer: -2591.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6*r**3 + 17*r**3 + 65*r**3)*(-4*r + 2*r + 4*r)*(-58 - 7 + 269) to u + h*r**3 + m*r**2 + o*r**4 + t*r and give o.\nAnswer: 31008","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 535574 to the power of 1\/3, to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 48 = -4*q. Suppose 1518*n = 1516*n + 18. Calculate the lowest common multiple of n and q.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0649 - 0.26.\nAnswer: -0.1951","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11832 divided by 1698.\nAnswer: 1972\/283","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -k**2*u + 2198578*k**2 + 365883*u wrt u.\nAnswer: -k**2 + 365883","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 189\/10? (a) 0.5 (b) 2 (c) -0.1 (d) 12\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 30*k + 28*k + 24*k - 86*k. Let x(w) = -7*w**2. What is x(r(h))?\nAnswer: -112*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 13 - 5. Let t(b) = 3*b - 4. Let u(a) = 6 + 401*a - 203*a - 203*a. Let q be (7 - 1) + 5\/(-5). Determine g*t(r) + q*u(r).\nAnswer: -r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -9*j**2 - 1 + 10*j**2 - 1 - 5*j. Let w = 718 + -713. Give p(w).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-33)\/11*-9 + -9. Solve -t = -2*w - 7*w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b**5\/3 - 13232*b**4\/15 + 352826*b**3\/15 - 406996*b**2\/15 + 22464*b\/5 = 0.\nAnswer: 0, 1\/5, 1, 26, 1296","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -22 (b) -1 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2504 + -4614. Round m to the nearest 100.\nAnswer: -2100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 86545 and 380.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 41\/5 != -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: ((-20)\/6)\/((-3912)\/(-29340))\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 427 and 4514.\nAnswer: 31598","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 29592, 0 in ascending order.\nAnswer: 0, 2, 29592","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 333*o**3 - 5*o**2 - 47*o + 677509 wrt o?\nAnswer: 999*o**2 - 10*o - 47","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by 262091.\nAnswer: -1\/262091","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 98712 - 43912. Round t to the nearest ten thousand.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the first derivative of 3*m**2\/2 + 9. Let d(g) = -g**2. Calculate k(d(o)).\nAnswer: -3*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3659\/5 - -29237\/40. Let c = -0.2 - -0.4. Which is greater: m or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let y be -2 + 2\/(-2) - (-7 - -8). Put 3, -1, 1, y in ascending order.\nAnswer: y, -1, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 172 minutes before 2:35 AM?\nAnswer: 11:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12 (base 14) to base 10.\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/(-56)*-3*(-3)\/9.\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 78\/(-13)*(-21)\/(-12)*((-2600)\/70)\/(-10)\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -142 - -151. Let p = 2 - 2. Suppose p = 3*q - 0*q - 24. Are c and q non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j = 6*j + 9 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d**3 - 2 + 6*d - d**3 + d**3 - 4*d**2 - d. Let l be u(3). Suppose -6 - l = -h. Solve 0*g + 5*g = -h for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 4.054634 years?\nAnswer: 48.655608","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(425)*2*1 - (-2*sqrt(425)*-1)**2)*-4.\nAnswer: -40*sqrt(17) + 6800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 445414907?\nAnswer: 7, 569, 111829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 88 and 56.\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -211 (base 4) to base 6.\nAnswer: -101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*h - h + h)*(4 - 3 + 1).\nAnswer: -4*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*d - 716999 = -141*d + 3033175. What is the tens digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the second derivative of -u**4\/3 - u**3 - u**2\/2 + 4*u. Let w(a) = -a. Let r(x) = -2*o(x) + 10*w(x). Is r(-2) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*n**2 - 3*n**2 + n**3 - 1022*n + 11 + 1018*n + n**4 as q*n**2 + r*n + j*n**3 + u + f*n**4 and give u.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 4*b + 1. Let a be -6 + 13\/(65\/30). Solve -p = -a*p + b for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 171 and 72.\nAnswer: 1368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -588 + -162073?\nAnswer: -162672","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h and 2 y when four letters picked without replacement from yyhhhyhyhh?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 5849 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2 - 1)*(4*d + 0*d - 5*d)*(-1 - 7*d + 1).\nAnswer: 14*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, 4\/3, -1.1, -0.2, 4 in descending order.\nAnswer: 4, 4\/3, -0.1, -0.2, -1.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -698305 + 698305 + 1840*r**2 in the form s + p*r**2 + g*r and give p.\nAnswer: 1840","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d**3 - 6*d**2 + 5*d + 6. Let i be f(5). Let a be 51\/i*(0 + 8). Let w = -22 + a. Does 23 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -v**3 - v**3 + v**3 + (0 + 0 + 2*v**2 + (2 - 1 + 2)*(4*v**2 + 6*v**2 - 22*v**2))*(25*v - 3*v + 0*v) as t*v**3 + k*v**2 + d*v + x and give t.\nAnswer: -749","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express o - o + o + 0*o**2 + 9*o**2 in the form c + q*o**2 + b*o and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*a**3*b + 492*a**2*b**3 + 4*a + b**3 - 73252 wrt a.\nAnswer: -6*a**2*b + 984*a*b**3 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 922880383 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(304) - (sqrt(304) + -1))**2 + ((sqrt(19)*-2 - sqrt(19)) + sqrt(19))*6.\nAnswer: -12*sqrt(19) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f*(f**(-3\/10)*f)\/f*f*f**(-6\/7) assuming f is positive.\nAnswer: f**(59\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5\/4 of a litre?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 11766 + -11765.9992779. Round d to four dps.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(960)*6)\/(sqrt(125)*6*3).\nAnswer: -16*sqrt(3)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -95*(-2)\/70 - (-10)\/35. Solve m*f - 38 = -35 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -356213228 and -1218.\nAnswer: -356214446","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 34204.87 centimeters?\nAnswer: 342048700000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 45 = -5*s. Let l be (-30)\/(-8)*(-8)\/(-1). Calculate the greatest common divisor of l and s.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y**3 - 8*y + 7*y**2 + 18 + 0*y**3 - 7. Let h be (2\/(-6))\/(-2*2\/72). Let a be o(h). Does a = -2\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 5 = -5*w, 8*w - 3*i - 10 = 3*w. Let f = w - 2. Let k be f\/1 - 1 - -2. Which is the biggest value? (a) 0 (b) k (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1.4 (b) 2\/21 (c) -2 (d) -1 (e) -1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 381*y + 2. Let h be z(2). Let d(l) = -l**3 - 3*l**2 + 3. Let b be d(-3). Suppose h = b*p + p. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 64*-0.089\nAnswer: -5.696","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -46997\/18592 + 81\/32. Which is bigger: -1 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 47*l - 67086 - 18002 - 72550. Is l a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3.5 - -3.3. Let h be -1*(-2)\/22*2. What is the nearest to 1 in h, l, -0.1?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5 - 10. Let b = 3.2 - 3.46. Let t = 0.06 + b. Put t, v, -0.1 in decreasing order.\nAnswer: -0.1, t, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10673 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28 + 9*k - 9*k - 15*k**2.\nAnswer: -15*k**2 - 28","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (168\/49)\/(132\/4389).\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 85 - 191. Let y = -80 - l. What is the remainder when 48 is divided by y?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -10*b**3 + 9*b**2 - 9*b + 20. Let r(c) = c**3 - c**2 + c + 1. Give 2*a(q) + 18*r(q).\nAnswer: -2*q**3 + 58","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 476, 1781, 3920, 6893, 10700, 15341, 20816?\n\"Answer: 417*a**2 + 54*a + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.029 - -0.371. Sort 467, p, 0 in ascending order.\nAnswer: 0, p, 467","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 23 and -1.94168.\nAnswer: -44.65864","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 116*x - 109*x = -21 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 53567205?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1\/39 + -29\/117. What is the closest to 2 in 2, o, -1\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6725.\nAnswer: 5, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8139\/3586 - -1\/326. Let k = -4446\/5 - -4417\/5. Find the common denominator of p and k.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.05 + 1.15. Let s = k - 0.1. Let j = s - 1.0000025. Round j to six decimal places.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6485343 is divided by 740.\nAnswer: 723","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1 + -1 + -3 + 7. Suppose -5*j - 2*p + 343 = -0*p, 0 = 2*j + 5*p - 133. Calculate the remainder when j is divided by (1\/v)\/((-2)\/(-72)).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (616 + 1431 + 384)*(3 - 2 - 2)*(-3 + 3 - 2*j) in the form q*j + r and give q.\nAnswer: 4862","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -n - 3*b + 9 - 50, -n - 6 = -4*b. Let z = 38 + n. Solve y + 19 = -5*q - 2*y, 0 = 4*y + z for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 9*s**3 - 3*s**2 - 1. Let x(t) = 5*t**3 - 2*t**2. What is 3*q(z) - 5*x(z)?\nAnswer: 2*z**3 + z**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.070803 meters to kilometers.\nAnswer: 0.001070803","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -4*j**2 - 2*j - 3. Let a be 1268\/(-634) + 1 + (0 - -8). Let p(c) = 3*c**2 + c + 2. Determine a*p(i) + 5*x(i).\nAnswer: i**2 - 3*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6738 by -2.\nAnswer: 3369","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i = 0, 4*l = -l + 3*i + 20 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 6 + d + 2*d**3 - 6*d**2 - 5*d**3 + 4*d**3. Let i(h) = -h**3 + 5*h**2 + 7*h. Let q be i(6). Does 6 divide r(q)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*f**2\/3 + 205565040*f + 7923184813162800.\nAnswer: 4*(f + 77086890)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20370 is divided by 416.\nAnswer: 402","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -20 - -22. Let n be 4\/50*(y - -8). Factor -n*j - 2\/5*j**2 - 2\/5.\nAnswer: -2*(j + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*t - 5*i + 236, -16*i = t - 19*i + i - 98 + 52 for t.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t + 1. Let r be o(11). Let h(b) = -b + 10. Calculate h(r).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -195\/2528 and 1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Are 3351845 and 3351847 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 166 + -129. Suppose 2*h - f = 119. Does 39 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 149 a factor of 115375289?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -24 - -43. Let p = -8 + m. Let u = -10.983 + p. Round u to 2 decimal places.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 505 minutes after 5:12 PM?\nAnswer: 1:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 234593531*a**2*j**2 + 9*a**2 - 291610*a*j + 2*j wrt j.\nAnswer: 469187062*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -50, -42, 34, 184, 414, 730, 1138?\nAnswer: 1644","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(2\/11)*z**(-1\/2)*z**(-6)\/(z*z**(1\/6))*z*z\/z**(3\/2)*z*z*z**(1\/3)\/z*z*z**3\/z**(2\/13) assuming z is positive.\nAnswer: z**(-1549\/858)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 164944, 329881, 494808, 659725, 824632, 989529?\nAnswer: 1154416","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 512 + 1\/2*m**2 + 32*m = 0 for m.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 50442 + -50444. Let b = 1.4 + 4.6. Let u = -4 - b. Which is smaller: z or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38397251 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 16, -2, -0.5, 2\/27, 22?\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7031 is divided by 228?\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5.6 - 0.4. Let l = -1 + r. Let v = -7.000013 - l. Round v to five decimal places.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 45 + (37 - (43 + 34))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0074338992 rounded to 3 dps?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put together 53 and -131374277.\nAnswer: -131374224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*n**2*s**2 + 1103*n**2*s + 3*n**2 - n - 4*s**2 + 2*s - 409 wrt n.\nAnswer: -6*s**2 + 2206*s + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 25605 and 62595.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 55 and 297.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the third derivative of 0*q**4 - 3\/2*q**3 + 1\/60*q**5 + 0*q - 22*q**2 + 0. Is h(-5) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 666358 a multiple of 154?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-29)\/116)\/(13\/104).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 4 + 0)*(-1 + 4 - 4)*(-4*f + f - 2*f)*((0 - 1 - 1)*(-4 + f + 4) - 4 + 4 - f + 0*f - f - f + 58*f + 30 - 30 + 4*f - 3*f - 2*f).\nAnswer: 1040*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve w**3 - 63*w**2 - 478*w - 840 = 0.\nAnswer: -4, -3, 70","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -311, -2\/23, -4, -2\/11 in decreasing order.\nAnswer: -2\/23, -2\/11, -4, -311","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(336))\/(-5*sqrt(7)*2).\nAnswer: 12*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:27 AM and 10:26 PM?\nAnswer: 719","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:49 AM and 2:35 PM?\nAnswer: 406","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 3, z: 2, l: 4}. What is prob of picking 2 t and 1 z?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*(-4)\/(-4)*(-3)\/(36\/(-8)).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the third derivative of 0*m**3 + 39*m**2 - 5\/8*m**4 + 0*m + 0. Let b(h) = 4*h**2. Give b(k(a)).\nAnswer: 900*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-5) + -1)\/((-6)\/(-20)*12\/(-48))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 232 (base 5) to base 14\nAnswer: 4b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4.9619 + -0.0381. Sort -3, c, -1\/252 in ascending order.\nAnswer: c, -3, -1\/252","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = -4*j + 78. Calculate the highest common divisor of j and 26.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 8939279?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = 8*q + 5*q. Calculate the remainder when 99 is divided by -1 + 0 + q\/(6\/81).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 v when four letters picked without replacement from {v: 5}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -4*k - 6, 1 = -3*a - 4*k. Suppose -5*u + 26 = 10*l - 9*l, -5*l - 5*u + 30 = 0. Let o be (259\/266 - l)\/((-1)\/(-4)). Is a less than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 670450766*j**2*u - 25315979*j**2 + 13*j - 1 with respect to u.\nAnswer: 670450766*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 0*x + 2*x + 16 = 0, -5*f = -x - 28. Calculate the remainder when 11 is divided by f.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -83029*r + 2 + 0 + 2. Let k be d(-3). Suppose 2*x + 9950909 = -k. What is x rounded to the nearest 1000000?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = 5*u + 1105, 0 = -2*h - 3*h + u + 1117. List the prime factors of (-9)\/((-18)\/h) - (-20 + 16).\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5142 to the power of 1\/3, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1303412686 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 18 - (-3 - -13) - 3\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 111 or 257?\nAnswer: 257","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the second derivative of -k**4\/12 - 4*k**3\/3 - 9*k**2\/2 + 50*k. Determine v(-8).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 a when two letters picked without replacement from obyafkfok.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9956.1 + -9959.1. Let y = -58\/165 - -1\/55. What is the nearest to y in k, 0.3, -4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u**2 + 5*u + 5. Calculate the remainder when v(6) is divided by 18.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*b + 17 + 3. Let c be b\/(10\/(1 - -1)). Is 2 greater than or equal to c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jc when two letters picked without replacement from ssjjjcqsjjoyjqsyojyy?\nAnswer: 7\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1 (b) 5 (c) -1\/4 (d) 4 (e) -120\/12859\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (44 - 42) + (1 - 10) - 2?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + y + 9 = 0, w - 2*w = 5*y + 29. Find the common denominator of 107\/10 and (279\/(-48))\/((-6)\/w).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w**3 - 32*w**2 + 58*w - 83. Is h(-36) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**3 - 140521*f**2 + 4936467599*f + 4936608121.\nAnswer: (f - 70261)**2*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 2*k + 6*k + 567 = 0, 0 = 5*z - 5*k - 2910. What is the tens digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 4*n**2 + 3*n + 3. Let u(a) = a**2 + a + 1. Let d(v) = -2*q(v) + 6*u(v). Let j = -7 - -18. Let k(i) = -2 - 4*i - j + 13. Determine k(d(l)).\nAnswer: 8*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1066 + 1?\nAnswer: -1065","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 2*z + 13. Give y(-12).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 442412609?\nAnswer: 4789, 92381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2228938?\nAnswer: 2, 17, 65557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.05346 to 2 dps.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 j when two letters picked without replacement from tljppgc?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g - 68 = 2*x - 32, 2*x - 3*g + 20 = 0 for x.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-30 - 29*u + 30)*((1 + 4 - 2)*(u + 4*u + 4*u) + ((-3*u + 4*u + u)*(-3 + 3 + 1) + u - u - u)*(0 + 1 - 2)) in the form h + m*u + k*u**2 and give k.\nAnswer: -754","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 5*b + 25 = 0, -3*b - 14 = -m + 1. Suppose m = 4*j - 4 - 8. Calculate the highest common factor of 24 and j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1725 and 230.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5.87 + -5.9044. Round k to 2 decimal places.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -870, -2\/3, -5\/6, 0, -1\/3, 0.4, -5?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1, -6, -27, -68, -135, -234?\n\"Answer: -t**3 - t**2 + 3*t","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (64\/(-20))\/(8*4\/(-240)). Solve 33*y = 25*y - d for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/((-138)\/(-9)))\/((-48)\/(-224)*7)?\nAnswer: 1\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1488 = -24*p + 20*p. Suppose 3*g - p = -b - 2*g, -5*g = 2*b - 759. Suppose 5*s = 373 + b. What is the tens digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*k + 187*k - 306 = 0 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 84451406?\nAnswer: 2, 13, 3248131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -53472 (base 11) to base 2\nAnswer: -10010111111000001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 3*v = 0, 0*f + 8 = 4*f + 4*v. Solve -10 = -2*h - s, 0 = -h - s + 4 + f for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by -22.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1246 + -1243. Which is the smallest value? (a) x (b) 2\/7 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 30313220 or 151566096\/5?\nAnswer: 30313220","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -3806.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16883722.\nAnswer: 2, 79, 106859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t + 3. Let l be o(-3). Let d be (l\/(-9))\/(2\/(-21)). Suppose 2*f + 2*g - 7 = d, f + 3*g = 15. What is the units digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7769 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 200022000010 (base 3) in base 10?\nAnswer: 360129","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 + 0 = -4*s. Suppose l - s + 1 = 0. List the prime factors of l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 12*c. Let w(s) = 3052*s - 2. Calculate r(w(n)).\nAnswer: 36624*n - 24","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 4, z: 1, b: 8}. Give prob of picking 1 b and 1 z.\nAnswer: 4\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the second derivative of u**3\/6 + 7*u**2\/2 + 4*u + 298. Let n = 1 + 1. Let t(o) = 3. Give n*a(s) - 5*t(s).\nAnswer: 2*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*y**2 + 0*y**2 + y**2)*(3 - 1 - 1)*(-18*y + 14 + 5*y - 15).\nAnswer: 26*y**3 + 2*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*i - 14*i - 57 + 56)*(20005*i**2 - 20010*i**2 - 3*i + 8*i).\nAnswer: 70*i**3 - 65*i**2 - 5*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(16)\/(sqrt(8)*-1) + ((sqrt(40)\/sqrt(5))\/sqrt(4))**2.\nAnswer: -sqrt(2) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 595 minutes before 1:03 AM?\nAnswer: 3:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*w**3 - w**3 + 2*w**3 + (-3*w + 6 - 531*w**2 - 696*w**2 + 1738*w**2 + w**3)*(2 + 1 - 5).\nAnswer: -4*w**3 - 1022*w**2 + 6*w - 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 11 - 7. Let b(z) = p + 0*z - 2*z + z. What is the tens digit of b(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that 5*i**4 + 2190*i**3 + 265360*i**2 + 5454690*i - 5722245 = 0.\nAnswer: -213, -199, -27, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -7*a**3 + 2*a**2 - a - 1. Let x = -14 + 10. Let u be g(x). Suppose 2*p - 5*p = -u. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*y = -7*y - 25 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7*438.0398.\nAnswer: -3066.2786","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1414145 and 3175.\nAnswer: 635","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 58468*c**3 - 10*c**2 + 1183098 wrt c.\nAnswer: 175404*c**2 - 20*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -3233, -6477, -9771, -13115, -16509, -19953, -23447?\n\"Answer: -25*k**2 - 3169*k - 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 6450946391 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4537 + 30814 + 2*v**2 + 23128.\nAnswer: 2*v**2 + 49405","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 34755194*y**3 - 48575441*y wrt y?\nAnswer: 208531164*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 4*v - 32 = 0, -5*x - 2*v - 37 = 2*v. Put 3, x, 2 in decreasing order.\nAnswer: 3, 2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*k = 19*k - 13783. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 29*h**2*n + 87*h**2 - 22703*h - 88713036*n + 6 wrt h.\nAnswer: 58*h*n + 174*h - 22703","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 922936 is divided by 83901?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1022123322200 + 111?\nAnswer: -1022123322023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.19, -0.1, -3, 684, 3\/10, 3?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the second derivative of -c**6\/10 + 9*c**5\/20 - 3*c**4\/4 + c**3\/2 + 218*c. Factor t(p).\nAnswer: -3*p*(p - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = -5*o - 914 + 3689, 0 = -x + 2. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 4*w - 768 = 0, -8*b - 2*w - 768 = -9*b. Is 16 a factor of (1 + -1 + -1)\/((-2)\/b)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = -u + 667, -u + q + 4*q + 652 = 0. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5392 + -5377 - (1 + -1 - -2).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the first derivative of -11*k**4\/2 - k**3\/3 + 3. What is the tens digit of x(-2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3, 31, 19, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -116*s**4 + s**2 - 121*s**4 + 1 - s - 133*s**3 + 236*s**4 - 6*s**3 to the form i*s**4 + j*s**3 + z + y*s**2 + b*s and give j.\nAnswer: -139","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1992)\/11 - 2*1. Let a = -21097\/110 - l. What is the common denominator of a and (3336\/16)\/(28 + 1 + 22\/(-11))?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 69.068 and 0.1.\nAnswer: 6.9068","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -15 - -17. What are the prime factors of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1110 = 29*w + 59*w + 23*w for w.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 0 - 7*t - 8*t**2 + t**3 + t**2 - 3. What is the units digit of a(8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8.8 + -148.2. Let n = s - -288. Let d = n - 131. Sort -1\/13, d, 4 in ascending order.\nAnswer: -1\/13, d, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*r - 24275 + 8042 = 0. Let d = r - 365. List the prime factors of d.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 9035 and 91?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:45 AM and 12:39 PM?\nAnswer: 354","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m + 14 = 4*l - 12, 2*m = 573*l - 601*l + 62 + 46 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49 = -3*c - 5*h, 0 = -h - 1. What is the highest common factor of 48 and c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -3, -157, -192 in decreasing order.\nAnswer: 3, -3, -157, -192","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1308*s - 1355*s + 493*s)*(s - 2 + 2 + (3*s + 0*s - s)*(-2 + 6 - 3) + 3*s + s - 2*s + (1 + 2 - 5)*(-1 - 2*s + 1)) as j*s**2 + v + o*s and give j.\nAnswer: -19530","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -5*k**2 + 5*k**2 + 50 - 118 + 64 + k**3 - 5*k. Calculate u(3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -97\/10 and 1\/196.\nAnswer: 980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 9*t**3 + 2*t**2 - 1. Let m be l(1). Suppose 2*q = -0*q + 56. Suppose 6 = p + 2*w - m, 2*p + 3*w = q. What is the units digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 135 minutes after 11:54 AM?\nAnswer: 2:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1066.\nAnswer: 2, 13, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-40)\/25*10\/(-2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 4.55*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -858 (base 10) to base 16\nAnswer: -35a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -103*y + 49626. Determine c(479).\nAnswer: 289","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, d: 7}. Give prob of picking 3 d.\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-6)\/(-4))\/(3\/6). Suppose 5*q = -25, 3*q = 4*o + 7 - 22. Solve 0 = -5*b + 4*z + 32, o*z = 4*b - k*z - 25 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1591.\nAnswer: 37, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) 1972\/19 (b) -0.2 (c) -2 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -80 + 83. Let q be 10\/30 + 10\/(-18). Which is greater: q or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 21 - 17. Let t be 0 + 3*(-25)\/(-15). Put t, n, 57 in descending order.\nAnswer: 57, t, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1312 divided by -32\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -53*p**3 - p**2 - 2*p - 2. Calculate the remainder when k(-1) is divided by 20.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4950 + 5090. What is the greatest common factor of y and 686?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 123648 and -0.0019?\nAnswer: -234.9312","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i**3 + 156*i**2 - 128*i - 4114. Determine f(155).\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.017627 to the nearest integer.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 85 - -122. What is the greatest common divisor of 23 and n?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1088) + 2 - (sqrt(153)*2 + sqrt(17)))**2.\nAnswer: 4*sqrt(17) + 21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -48 + -34502?\nAnswer: -3454a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*w - 1610686 = -15*w. Let x(z) = 520342*z + 2. Let t be x(2). Let r = w - t. Round r to the nearest 100000.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 12 + -13. Let b = 577\/1528 - 1\/382. Is h at most b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 367 - 28 = 76*i - 41 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o - 1. Let b(y) = 4*y**3 + 3*y**2 - 8*y + 7. Let r(l) = 2*l - 1. Let a be r(2). Suppose -a*v = 2*v - 70. Let i(g) = v*h(g) + 2*b(g). Factor i(x).\nAnswer: 2*x*(x + 1)*(4*x - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (39 - 44)*(-582 + 0).\nAnswer: 2, 3, 5, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 160514926 to the power of 1\/7, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -112*s + 2995 = 2951*s - 6194 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42548*w + 42471*w - 6314 = 0 for w.\nAnswer: -82","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -37, 2\/11, 9\/2, 47, 4\/5?\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 729427739 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v + 8 = 4*v. Suppose -3*u + v*i + 16 = 0, 8*u - 2*i = 3*u + 32. Suppose 2*s + u*s = 260. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1780 divided by -89?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 - 3)*(19*v - 2*v + 2*v)*(-2 + 4 - 1)*(45 + 52 - 33).\nAnswer: -2432*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 1364 to the nearest one hundred.\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 2\/4 + 4\/8 + 293?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -278 + 488*v**2 + 172 + 106.\nAnswer: 488*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -11*m**2. Let l(r) = 11*r - 215559. Determine l(k(c)).\nAnswer: -121*c**2 - 215559","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -9*o**2 - 11. Let d(x) = x**2 + 1. Let t(f) = -22*d(f) - 2*w(f). Let c(l) = 80*l**2. What is c(t(v))?\nAnswer: 1280*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/125, 1095, -4, 1 in ascending order.\nAnswer: -4, -2\/125, 1, 1095","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + p + 11 = c, 0 = -3*c + 3*p - 30. Let j(x) be the second derivative of -x**3\/3 - 3*x**2 - 30*x - 1. Calculate j(c).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = 4*z + 85, 0*z = 5*r - 3*z - 459. What is the greatest common divisor of r and 31?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 54 = 2*a. Let x be ((-24)\/690)\/(a\/(-15)). Suppose -q = j + 2*j - 2, 3*j + 3*q = 6. Is x greater than j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 259880367?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 71207 to the nearest integer?\nAnswer: 267","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -28*t - 136. Let h be a(-5). Suppose -6*y + 2*y = -480. Suppose u + f - 17 = 0, u + h*u - 2*f = y. Is u a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 1081*a + 11. Suppose 5*h - 29 = -9. Let y be m(h). Find the common denominator of -73\/20 and y\/5850 + 1\/(5\/2).\nAnswer: 780","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -147046*l**2. Let m(k) = 2*k. Give m(a(c)).\nAnswer: -294092*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1780163274.\nAnswer: 2, 3, 2659, 111581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(95)*1 + sqrt(95)))\/(-2*sqrt(180)).\nAnswer: -sqrt(19)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n\/(n\/(n**(2\/9)*n)))*(n**(-8)*n)\/n)**(-12\/5)*(n\/(n*n*n\/n**(-2\/3)*n*n*n))**5\/(n**(-4)\/(n**(-6\/5)\/n)) assuming n is positive.\nAnswer: n**(-34\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 69.76191 decades?\nAnswer: 6.976191","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 13 + 8 + 12 + -20 + 91\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*h - 10 - h**4 + 10*h**3 - 2*h**2 - 28*h**3 + 4*h**3 as b*h + j*h**4 + z*h**2 + s*h**3 + y and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-33 - -45)*4\/(-3) - -4?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sp when two letters picked without replacement from spdwssddwds.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 680.907 years in millennia?\nAnswer: 0.680907","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -4*s**2 - 4*s - 17. Let x(t) = -5*t**2 - 3*t - 18. Let z(g) = -4*v(g) + 3*x(g). Let c be z(-4). Solve -c = -5*w + 13 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -90*h**2 + 73*h**2 + 43*h + 84*h - 42*h. Let d(c) = -c. What is -85*d(i) - r(i)?\nAnswer: 17*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12243.\nAnswer: 3, 7, 11, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*a + 108 = -14*a for a.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*b**3 - 3*b**3 + 3*b**3)*(4 - 2 + 0) + 0*b**3 + 2*b**3 - 5*b**3.\nAnswer: b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7295 is divided by 109.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((4 - 5)*1)\/((-2)\/6) is divided by 70\/(-28)*12\/(-10).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (2 + sqrt(847))*-6)**2.\nAnswer: 1320*sqrt(7) + 30592","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 332*t - 32640 = -439*t - 1405*t for t.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - (-5 + (-3 - (-16 + 0)) - 9)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15 - 25*v**2 + 15)*(-2 - 2*v + 2).\nAnswer: 50*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35 - 130 - 15 = 51*s - 78 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2724000224?\nAnswer: 2, 11, 659, 11743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 232658?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -324325, 8, -2 in descending order.\nAnswer: 8, -2, -324325","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b**3 - b**2 - 2*b + 9. What is k(0)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 11 + -10 + 3.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 445 a factor of 57396616?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-1\/11)*(l**(7\/2)\/l)\/l assuming l is positive.\nAnswer: l**(31\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 4, j: 3}. Give prob of sequence jj.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 31 = -3*v, 3*v + 3*n = n - 29. What is the tens digit of ((-102)\/v)\/(4\/12)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2100871?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the third derivative of -1 + 16\/3*c**3 + 2\/15*c**5 - 17*c**2 + 2*c**4 - 2\/105*c**7 - 1\/10*c**6 + 0*c. Factor x(i).\nAnswer: -4*(i - 2)*(i + 1)*(i + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -70*v + 11*v - 176*v - 3995 for v.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*c + 25*c = 0. Suppose c = x + 5*r - 28 - 0, 20 = 4*r. Calculate the lowest common multiple of 1 and x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -13487337 and 0.01.\nAnswer: -134873.37","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(209)*2)\/sqrt(11) + (-1*sqrt(133) - sqrt(133))\/sqrt(7))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16\/(-34)*(65\/52 + -1).\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0.026, 2\/9, -11\/3, 0.5?\nAnswer: 0.026","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 7973 to the power of 1\/2, to the nearest integer?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i**3 + 14*i**2 - 7*i + 1. Is s(-12) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -418, -22, 0.2 in increasing order.\nAnswer: -418, -22, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.09417 - 2?\nAnswer: -1.90583","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 9*s**2 + 25*s - 3. Let v be c(-3). Let o(u) = -99 - 14*u + 89 - v*u**2 + u + 2*u**2. What is o(-12)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -706*g + 586. Does 4 divide z(-8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*z = -3*r + 102, -839*z + 859*z - 185 = r for z.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 10*g - 5*g - 45 = 0, 12 = 3*g. Let m be 455\/3 + k*(-4)\/(-60). Suppose -d + 17 = 5*q - 59, 2*d - 3*q = m. What is the tens digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 65 - 325 = 0. Suppose -3*t + 6*t = b. What is the tens digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 6*n**2 + 35*n - 371. Let v(x) = -11*x**2 - 63*x + 738. Let h(w) = 9*p(w) + 5*v(w). Let b(f) = -5*f. Give h(b(z)).\nAnswer: -25*z**2 + 351","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is z in -8\/3*z - 1\/3*z**3 - 5\/3*z**2 - 4\/3 = 0?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*b**3 - 7*b + 5*b + 630*b**2 - 629*b**2 + 5*b**3 + 26 to i*b**2 + h*b + r*b**3 + l and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -48210 to the nearest 10000.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cci when three letters picked without replacement from {m: 1, i: 4, c: 3, g: 7, w: 2}?\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -205 + -13 + 103 + -5?\nAnswer: -120","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (-4 + 1 + sqrt(1331))**2 + (sqrt(1331) + 1*-2*sqrt(1331))**2.\nAnswer: -66*sqrt(11) + 2673","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 7*y + 70 = 0. Let s(z) = z**2 + 16*z + 34. Let p be s(y). Solve 3*l = t + 10, t + p = 2*l - 0*t for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-5)\/(-3))\/(1\/(-3)). Let p(z) = -8*z**2 + z - 2. Let l(o) = -16*o**2 - 2196 + 2*o - 2187 + 4378. Let g(i) = n*p(i) + 2*l(i). What is g(1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(204)*-6)\/(sqrt(972) - 2*sqrt(972)).\nAnswer: 2*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -136 = -65*p + 63*p. Put 1, p, -3 in decreasing order.\nAnswer: p, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-22)\/6 + (-6)\/(-9). List the prime factors of (5013\/27 - w)*(0 + 3).\nAnswer: 2, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 44 and 3223.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6 - 8. Let w be (3 + -3)\/y + -26. Let z = -13 - w. Is 3 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 4*v**2 + v - 11. Calculate s(6).\nAnswer: 139","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 8 = 0, -14 + 6 = -5*v - 4*w. Suppose -2*t - 6 = -4*b, v*t = b + t - 6. Suppose -p = p + 2*q - 2, -4*p = -5*q - 40. Solve b = -p*z - 7 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 7 - 1 = 0. Let o(u) = -u**2 + 6*u + 3. Let t be o(q). Solve -i = 4*s - 0*s - 16, -27 = -3*s + t*i for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 5*((-212)\/5)\/(-1). Suppose -4*i - 4*h = -h - u, 0 = -5*i + 2*h + 242. Suppose -d - i = -6*d. Is 5 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*p - 11 + 1243 = 0. Let f = p - -164. Does 26 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5 - -3. Let g be 2*3\/m - -19. Solve 4*a - g + 0 = 0 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13102?\nAnswer: 2, 6551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -6*b**2 - 41*b + 10. Let c be (2\/(-2))\/(2 + 52\/(-28)). Let t be l(c). Find q such that 28\/15*q**2 + 2\/5*q + 14\/15*q**t - 8\/15*q**4 + 0 = 0.\nAnswer: -1, -1\/4, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (15\/(-20))\/(1\/131). Let o = -97 - x. Let i = -19\/120 + 1\/30. What is the nearest to -1 in o, 1\/7, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -10 - -4. Let i be x\/21 + 74\/14. Let r(u) = -u - 6. Let y(a) be the third derivative of -a**4\/24 - a**3\/2 - 618*a**2. Calculate i*y(z) - 3*r(z).\nAnswer: -2*z + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -43310112 (base 6) to base 10.\nAnswer: -1284380","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7092 + 790 = 3228*u + 77626 for u.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0002386952 to 7 dps.\nAnswer: 0.0002387","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 15538978?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 7950 a multiple of 53?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the third derivative of -6*z**2 + 0 + 1\/72*z**4 + 1\/315*z**7 + 1\/18*z**3 + 0*z - 1\/60*z**5 - 1\/360*z**6. Determine b, given that j(b) = 0.\nAnswer: -1, -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 121997449?\nAnswer: 7, 3257, 5351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-27)\/15 + (-1)\/5)\/(-4). Let m(z) = z**3 - 5*z**2 - 7*z + 4. Let t be m(6). Is k at most t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 2*c + 21. Let u(h) = -9*h + 99. Let j(d) = 3*d - 33. Let m(z) = 17*j(z) + 6*u(z). Let t be m(14). Let k be l(t). Let g(o) = o**2 - 3. Determine g(k).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2*(-12)\/(-1216))\/(6\/(-32))\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 25*f**2 - 5. Let m(i) = -74*i**2 + 14. Let w(y) = -14*a(y) - 5*m(y). Let n(b) = -b. What is w(n(p))?\nAnswer: 20*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 10 - 6. Suppose -5*m + 4*f = -10, -4*f = -m + 1 + 1. Solve -h + 2 = -o*k, 4*k + 6 = m*k + 3*h for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -3*b. Let t(q) = 21 - 4 + 424*q - 17. Give d(t(c)).\nAnswer: -1272*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -5 + (sqrt(48)\/sqrt(3))\/sqrt(8).\nAnswer: -9 + sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.5 + 0.1. Let u = -0.447 + 0.057. Let d = 2.39 + u. What is the nearest to 0.2 in a, 0, d?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -18*j + 9. Let t(x) = -17*x + 8. Calculate 5*n(k) - 6*t(k).\nAnswer: 12*k - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d**2 - 2. Let h be m(2). Suppose a = -h*g + 612, -2*g + 306 = -g - 5*a. What are the prime factors of g?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1, 7, 0.4, 3\/8?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2156948646 to the power of 1\/3, to the nearest integer?\nAnswer: 1292","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -10*p**2 + 3*p + 3. Let r be b(-4). Let h = r + 169. What is the closest to 5 in h, -0.05, 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -356069 smaller than 2\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1149 and 8.\nAnswer: 9192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1015046711 to the power of 1\/8, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 193 = i + 2*i - 5*b, 4*i + b - 265 = 0. Let m(s) = 27*s + 29*s - i*s. Let g(l) = -l. Determine g(m(a)).\nAnswer: 10*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 377?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8860 and 100.\nAnswer: 44300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oxxxoxx. Give prob of sequence ooxx.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -123\/43232 not equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:49 AM and 11:56 AM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - 0 - (-2 + -3)) + -7\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (1 - 0) + 1 + (22 - (-2 + 6))\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is s in s**2\/5 + 14*s\/5 + 8 = 0?\nAnswer: -10, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*r = -38*r - 6. What are the prime factors of 4 + 344*r\/4?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the second derivative of -5*j**3\/3 - 5*j**2 + 3*j. Let a be d(-9). Let w = -731 + 763. What is the highest common divisor of w and a?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 11 and 132?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -95\/168 and -43\/504.\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3.1 + -3.9. Let i = d - -3.8. Put i, -5\/2, -1 in ascending order.\nAnswer: -5\/2, -1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:45 AM and 9:23 AM?\nAnswer: 158","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 25*c**3 + 677*c**2 + 62*c + 210. Determine a(-27).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 18 = 5*b, -3*f + 2 + 4 = 0. Suppose 15 = z + b*z. Is 5 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*t**2\/7 - 468*t\/7 - 770 = 0. What is t?\nAnswer: -11, 245","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 divided by -20910.\nAnswer: -13\/20910","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -29 - -325. Suppose 0 = f - 2 - 1. Let k(s) = 12*s + 1. Let a be k(f). Calculate the greatest common factor of a and g.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the third derivative of r**7\/1050 - 7*r**6\/600 - 2*r**5\/75 - 101*r**2. Factor p(y).\nAnswer: y**2*(y - 8)*(y + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z. Let r(b) = b**2 + b + 8. Let s be r(0). Let g = s + -5. Let v(f) = 2*f. Calculate g*v(w) - 5*n(w).\nAnswer: w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (60\/585)\/(4\/6). What is the closest to -0.04 in 3, r, 1\/2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 49589817?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((1360\/(-210))\/(-34))\/(8\/6).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2.5 - -9.5. Is i at most as big as -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 330*u - 3023. Give y(9).\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -135, -94, -29, 60, 173, 310, 471?\n\"Answer: 12*l**2 + 5*l - 152","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 424, 328, -416, -2132, -5144, -9776, -16352?\nAnswer: -25196","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -6643 + -44?\nAnswer: -6687","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -221 (base 6) in base 12?\nAnswer: -71","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjujmfffjj. What is prob of picking 2 f?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.140678 rounded to three dps?\nAnswer: 0.141","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(162) + sqrt(108)\/sqrt(150))\/((-2*sqrt(864)*5 - sqrt(864))*-1).\nAnswer: 61*sqrt(3)\/660","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 2847?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -95\/476 and 109\/2380?\nAnswer: 2380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4385420?\nAnswer: 2, 5, 13, 101, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1233, -4534, -10043, -17754, -27661, -39758, -54039?\nAnswer: -70498","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21750?\nAnswer: 2, 3, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -97, -81, -67, -55, -45, -37?\n\"Answer: -i**2 + 19*i - 115","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 44, 87, 130, 173?\n\"Answer: 43*u + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000254 to 6 dps.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 2363*k - 2685. Let t(o) = -2362*o + 2688. Let c(y) = -5*p(y) - 4*t(y). Differentiate c(x) with respect to x.\nAnswer: -2367","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*i - 61 - 91 = -64 for i.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 12267 and 1044?\nAnswer: 261","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 4 - 6)*(n**4 + 2*n**4 - 2*n**4) - 2*n - 51*n**2 + 6666*n**4 - 13278*n**4 - 9 + 6608*n**4 in the form h*n**2 + o*n**3 + l + m*n + c*n**4 and give c.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 0.2, 5\/7, 0.3, -2\/123?\nAnswer: -2\/123","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*g + 1 - 1)*(5*g + 6*g + 4*g - 6*g).\nAnswer: -27*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*w**2 - 2*w**2 + 0 + 2 + 9*w**2 - 467*w.\nAnswer: -w**2 - 467*w + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 62 (base 10) to base 9.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 22 times -79\nAnswer: -1738","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 69 + 0.16\nAnswer: 69.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-5782)\/(-59))\/49)\/((-2)\/27).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 16*z - 1. Let w be x(-4). Let u = w - -114. Calculate the highest common divisor of 7 and u.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7966?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*x**2 - 17781 + 17781 + 3*x**3 + 2*x as z*x**3 + i*x**2 + m*x + t and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 89 is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22 = 10*c - 4*s - 0*s + 100, -3*c = s - 3 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(52) - sqrt(832)*1)\/(sqrt(4) + sqrt(4) + -2*sqrt(4)*5) + sqrt(130)\/((1*sqrt(110))\/sqrt(11))*4.\nAnswer: 35*sqrt(13)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 12810 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**(1\/2))**(6\/13)*i**(-1\/24)*i**(-1\/2)\/i*i assuming i is positive.\nAnswer: i**(47\/312)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-40)*10*4\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 132452448 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -5 != -225\/47?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the first derivative of -q**4\/4 + 2*q**3\/3 + q**2\/2 + 2. Let n be b(2). Let y be n*17399997\/6 + 1. What is y rounded to the nearest one million?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -11\/96 + 71\/480. Which is the nearest to 0.1? (a) 3 (b) y (c) -3 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2720.3280068 minus -0.29?\nAnswer: -2720.0380068","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -294 + 293 + (-6 - -8 - (-1 - 11)).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1 + -451c1?\nAnswer: -451c2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21 = -0*g - 7*g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + b = -36. Solve 2*u + 10 = -3*w - 5, -u = 5*w + b for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5143543 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(120) - sqrt(120)*2 - sqrt(120))\/sqrt(5) - (sqrt(24) - sqrt(96)\/sqrt(4)*2))\/(-2*2*sqrt(768)) + -5.\nAnswer: -5 + sqrt(2)\/32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-44 - 0) + (-843 - -868)\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 31*k**2 - k - 19*k**2 + 17*k**2 as g*k + z + j*k**2 and give j.\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the first derivative of h**6\/360 - h**5\/120 - 2*h**3\/3 + 3. Let c(l) be the third derivative of x(l). Find the second derivative of c(a) wrt a.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7092, 28377, 63854, 113523, 177384?\nAnswer: 255437","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 2*d - 8 = -6*p, -2*d = p + 1. Suppose 0 = -p*r + 4*l + 20, -5*l - 20 = -4*r - l. Solve m - 10 = 2*u + 2*m, r = m for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 + -8 + 7 - -5 - -9) + -14 - -2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 10 + -11. Let q be (-2)\/c - (18\/(-3) + 4). Suppose 846 = q*n + x + 157, -2*x - 871 = -5*n. What are the prime factors of n?\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6 + -4. Let k be 4 + 4 + -2 + -2. Let z be -2 - g\/(k\/(-38)). Solve z - 7 = 5*w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 80*-3.\nAnswer: -240","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1284\/125 or 10?\nAnswer: 1284\/125","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -3 - (-1299 + 1285).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2048 + 5268 = 322*z for z.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 546?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -4*v**2 + 40*v. Let j(k) = -1338*k**2. What is t(j(o))?\nAnswer: -7160976*o**4 - 53520*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k**3 - 5*k**2 + 8*k - 9. Let u be s(6). Let d(b) = 1 - 7 + b + 83*b**2 + u*b**2 + 7. Is d(-2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 4*z**3 + z**2 - 11*z - 20. Let l(s) = -3*s**3 - 4*s**2 + 12*s + 20. Let y(h) = -4*b(h) - 5*l(h). Is 46 a factor of y(14)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 123 divide 39661?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19 + 18 + 52 - 2*l.\nAnswer: -2*l + 89","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11*x + 12*x + 14*x + (-2*x + 2*x - 2*x)*(0 - 3 + 5) + 2 - 2 - 2*x to the form w*x + r and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 99*d + 18*d - 1872. Solve -735*u = -727*u - d for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17783 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37 + 71 = -3*i. What is the remainder when -1*(i - -3) - 0 is divided by 18?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 8 = -0*c, 5*h + 3*c = 13. Suppose -3*j + h = -1. Let q = 408\/5 - 81. Is j less than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1271 divided by -6?\nAnswer: 1271\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the third derivative of -z**7\/120 - z**4\/2 - 2*z**2 + 5. Let j(b) be the second derivative of l(b). Let n(d) = -d. Give n(j(c)).\nAnswer: 21*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1023244444 (base 5) to base 11.\nAnswer: -124a07a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s**3 - 6*s**2 + s + 10. Let z be l(-6). Solve 0*k + z*k = 16 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 378924649 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 7574058053 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 69051 * -0.1\nAnswer: -6905.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(605) + -4)**2 + 0 - (sqrt(605) + (sqrt(605) + sqrt(605) + 3 + sqrt(605) - sqrt(605) - sqrt(605)) + 3)**2) + -6*(-4 + sqrt(605))*-5 + -5.\nAnswer: -1960 - 22*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (266 - 717 - 434)*(4*u - 3*u - 3*u) + 1 - 1 - u + 1 to the form o + p*u and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 2 y when three letters picked without replacement from mmmymy?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a\/a**19*(a\/a**(-5\/6))\/a assuming a is positive.\nAnswer: a**(-103\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 734 at most as big as 38203\/52?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 882 divided by -3419\nAnswer: -882\/3419","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 26622068 by -3.\nAnswer: -26622068\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 23539338?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:42 AM and 9:15 PM?\nAnswer: 573","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 54896522?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - c = 848, -2*c = 2*c. Let x = 215 - y. Calculate the least common multiple of x and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -681 = 73*c - 361*c + 471. Let h(m) = m**3 + 3*m**2 - m - 3. Let s be h(-3). Solve s = 2*i + 2*i + c for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**3 + 30*d**2 - 197*d - 228.\nAnswer: -(d - 19)*(d - 12)*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the second derivative of w**4\/12 - w**2\/2 + 3*w. Suppose -3*y + 1 + 5 = 0. Let f(h) = -2. Calculate y*r(l) - 2*f(l).\nAnswer: 2*l**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -4*w. Let c(x) = -x**3 + 8*x**2 + 6*x - 10. Let m be c(8). Let n(l) = -12*l**2 + m - 15 - 23. Determine j(n(d)).\nAnswer: 48*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -162*n**3 + 198*n**3 - 37*n**3.\nAnswer: -n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d**2 - 2*d + 46. Calculate h(6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in 3, -150, -3\/8, -1, -7?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a**3 - 10*a**2 - 22*a + 13. Let g be j(-8). Which is smaller: g or 60?\nAnswer: 60","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4074626739?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -478.005 rounded to the nearest one hundred?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n - 2. Let s be g(8). Suppose 0*j = -3*j - s. Calculate the lowest common multiple of 2 and (-1)\/(2*j\/8).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -16548*c**2 + 8274*c**2 + 11*c + 8279*c**2 to g + h*c + o*c**2 and give o.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*v + 164 = -106. Let p = 1 + 21. Suppose g = f - 2*g - p, -f - 3*g = 8. What is the remainder when v is divided by f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -105535 divided by -27\nAnswer: 105535\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 264339 is divided by 132106.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((sqrt(112)\/(sqrt(8)\/sqrt(2)))\/(sqrt(16)*3) + 4*(((sqrt(42)\/sqrt(2) + sqrt(21) + sqrt(21) + sqrt(21))\/sqrt(3))**2 + 5)).\nAnswer: -468 - sqrt(7)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the second derivative of -3\/14*k**7 + 0*k**2 + 0*k**4 + 2\/3*k**3 + 0*k**5 + 0 + 9*k + 0*k**6. Find the second derivative of m(h) wrt h.\nAnswer: -180*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 320093 to the power of 1\/2, to the nearest integer?\nAnswer: 566","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 52 = -73. Let b(d) = -d**3 - 6*d**2 + 8*d + 11. Let p be b(v). Suppose -l + 1343 = p*q, -7*q - 4043 = -3*l - 5*q. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-105)\/660)\/(665\/3800).\nAnswer: -10\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-68913)\/(-327294) - (-4)\/(-22))\/(-1 - 6\/9)?\nAnswer: -1\/58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1398*w + 53987 = -38281 for w.\nAnswer: 66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2099097 and 215991?\nAnswer: 2097","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12737 - 11701 - 16949 + 4716)*(2*r**5 - 2*r + 2*r).\nAnswer: -73342*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8139171 and 483?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 21*u + 78. Give t(-3).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 138055 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -20957, -33792, -46627, -59462, -72297?\nAnswer: -85132","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d - 4. Let z be u(4). Suppose 635941 = -3*h + 2*g + 15155949, 3*h - g - 14520004 = z. What is h rounded to the nearest 1000000?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -355.43849 and 59.\nAnswer: -296.43849","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -60 - -95. Let v = -38 + n. What is the biggest value in -4, -2, v?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4\/5 - 6\/5*h + 2\/5*h**2.\nAnswer: 2*(h - 2)*(h - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3045247 - 3045246.94400858. Let u = -0.056 + b. What is u rounded to 6 dps?\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -3, 8, 5, -39, 0 in descending order.\nAnswer: 8, 5, 0, -2, -3, -39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Are -3341091 and -3341091 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y**2 + y. Let n(j) = 2*j**2 - j + 5. Let r(q) = 5*q**2 - 8*q + 19. Let b(s) = 5*n(s) - r(s). Calculate b(f) - 4*k(f).\nAnswer: f**2 - f + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1625462 is divided by 1535?\nAnswer: 1432","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4021\/28 or 144?\nAnswer: 4021\/28","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i - 5 = z, 152*z + 4*i = 150*z - 8 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (r - 3*r + 0*r)*(-r - 1 + 1) + 4*r**2 - 3*r**2 - 2*r**2 - 15 - 3*r**2 + 15 + (-3*r + 2*r + 0*r)*(3*r - 5*r + r) in the form z*r + w*r**2 + m and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 552 and 207.\nAnswer: 1656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -16615 - -33727. List the prime factors of p.\nAnswer: 2, 3, 23, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -25 + 25 + 2*b**2. Let r(o) = -o. Let q(k) = -6*k. Let a(v) = q(v) - 4*r(v). Determine c(a(z)).\nAnswer: 8*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(-4)*(1080\/(-50))\/(-18)?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4\/11 in 0, -0.058, -4, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4 - 4. Let g = 8.2 + o. Let t = g + 0.8. Is 0 smaller than t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -70117, 1\/11, 0.3?\nAnswer: -70117","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -109991740 rounded to the nearest 1000000?\nAnswer: -110000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 390 = -2*l + 2*u, u = -l + 135. What is the highest common factor of l and 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 182 and 260\/2*(252\/(-45) + 6).\nAnswer: 364","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1597 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: List the prime factors of 14621.\nAnswer: 14621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3079*-181768.\nAnswer: 559663672","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 225 and 117.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -94 + 57.3. Let u = -35.7 - o. What is the closest to 0.54 in u, 4, 3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 24 + -22. Let o be 0 + 3 + (34 - 20). Solve o = s + 3*l, -s + 1 = -f*l + l for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3842, 7508, 10806, 13568, 15626?\nAnswer: 16812","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in 25, 2\/9, 0.4, 0.07?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1083.9 less than -46.1765109?\nAnswer: 1037.7234891","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3101*u = -3175*u + 1794500. What is the greatest common factor of u and 194?\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 11*g + 10. Let q be h(-4). Suppose -5*t = -t + 88. Let f = t - q. List the prime factors of f.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3153171?\nAnswer: 3, 7, 150151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mktk when four letters picked without replacement from {o: 8, d: 2, m: 2, t: 1, k: 2}.\nAnswer: 1\/8190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 0.1 (b) -9\/5 (c) 1 (d) -10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -419*r**2 + 572*r**2 - 2*r - 3 + r + r as w*r + g + z*r**2 and give g.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 164175, 1313279, 4432255, 10506039, 20519567, 35457775?\n\"Answer: 164156*h**3 + 12*h + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by 144318.\nAnswer: -5\/144318","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5 + 9. Suppose -2*r + 73 = -5*q, k*r - 2*q - 2*q = 152. Calculate the greatest common factor of r and 156.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -11189 and -11188 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 250 minutes before 9:29 AM?\nAnswer: 5:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2.18 + 0.18. Which is the nearest to l? (a) 2\/37 (b) 3 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -22822, -22792, -22788, -22822, -22906, -23052?\nAnswer: -23272","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.0793 (b) 4 (c) 1 (d) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -2*a, -3*a - 19 = -2*w - 0*w. Solve w*u - 6 = 9 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the third derivative of o**6\/24 + o**5\/15 + o**4\/6 - o**3\/2 + 2751*o**2. What is s(-3)?\nAnswer: -114","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -84*b**2 - 18*b**2 - 5*b**2 + 6*b**2.\nAnswer: -101*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 26505719?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5 + 8. Suppose -15 = 8*z - x*z. Is (2\/4)\/(z\/(-534)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the first derivative of -47\/4*x**4 + 0*x**5 + 1\/2*x**2 - 9*x**3 + 0*x + 70 + 2\/7*x**7 + 0*x**6. Find the third derivative of l(f) wrt f.\nAnswer: 240*f**3 - 282","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -2, -64880.\nAnswer: -64880, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (22 + 30 - 24)*(-22*h + 5*h - 9*h)*(4 - h - 4) + (-h + 0*h + 2*h)*(3*h + 2*h - 3*h) as i*h + b + t*h**2 and give t.\nAnswer: 730","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -43c2a5b - -5?\nAnswer: -43c2a56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 3664\/34808*(-19)\/(-7)\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3305 + -1747. What are the prime factors of g?\nAnswer: 2, 19, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 38295 or 344654\/9?\nAnswer: 344654\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 64550650 a multiple of 1150?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0\/((-23)\/((-299)\/91)). Solve a = -2*s - 206 + 212 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k + 3. Let x be h(3). Is 1 at most x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 157 divide 112366?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -4\/2313, -0.5, -2\/11?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 239 - 234. Suppose -x - 26 - f = -2*c, 3*x - 50 = -5*c. Suppose -5*w + 449 = -3*q, w + q = -0*q + 93. Calculate the highest common factor of w and c.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -6*q. Let d(l) be the third derivative of -l**4\/12 + 9*l**2. What is z(d(h))?\nAnswer: 12*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-5)\/(5\/(-6)) - 1. What is the third derivative of -h*a**3 + 4*a**2 - 2*a**2 + 3*a**3 wrt a?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 297 and 18393111?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -6*k + 5. Calculate w(2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -19*i. Let z(r) be the second derivative of -r**5\/60 + 11*r**2 + 62*r. Let t(v) be the first derivative of z(v). What is t(a(l))?\nAnswer: -361*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/(1\/(-6)*-3). Let y be 11\/22 + 447662\/a. Let f = y - 27916. What is f rounded to the nearest 10000?\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 83808*g - 41944*g - 41935*g - 284 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 15463329?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 divided by -136.\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 3, t: 2, i: 3, o: 4, j: 1, a: 3}. Give prob of sequence ija.\nAnswer: 3\/1120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45*m - 373 + 104 - 514 = 162 for m.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -397\/1144 + -4\/143. Does i = -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 154448704?\nAnswer: 2, 2413261","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-9)\/6 - 102\/72) + 2. Is j at most as big as 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (6*k**2 - 20*k**2 - 13*k + 12*k)*(14 + 19*k - 14) + 4 + k**3 - 4 in the form c*k**3 + u*k + h + r*k**2 and give c.\nAnswer: -265","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -101610 (base 10) to base 16\nAnswer: -18cea","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 116*l + 91*l - 209*l. Let x(t) = -12*t**2. Give x(p(b)).\nAnswer: -48*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 24 - 34001?\nAnswer: -33755","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 866231 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: What is 401 minutes before 9:46 AM?\nAnswer: 3:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 502814092 is divided by 43.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that m**3\/6 - 10587563*m**2\/3 + 42350249*m\/6 - 10587562\/3 = 0.\nAnswer: 1, 21175124","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 204985 a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(-9)*(-40)\/8\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dw when two letters picked without replacement from ybwyzbyzzzyywydz.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m - 3*x - 3*x - 4 + 28 = -57, -3 + 186 = 33*x - 312 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43 = n - 69. Let r(a) be the first derivative of -a**4\/4 + a**3\/3 - a**2 - 2*a + 1. Let d be r(-2). Calculate the highest common divisor of n and d.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.514 (b) 3\/4 (c) 4.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 3\/11 (b) 48 (c) -324\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 405906940?\nAnswer: 2, 5, 359, 56533","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g - 7. Let b(a) = -1293*a + 23. Calculate b(m) + 3*n(m).\nAnswer: -1296*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 431*n**4 + 15*n**2 - 900177*n.\nAnswer: 5172*n**2 + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 6*h**2 + h + 1. Let f be m(-1). Suppose -5*n + 6*n - 5 = 0. Solve n*y - 3*y = -f for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v + 19. Let t be 18*1*(-18)\/18. Determine w(t).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -274 = -4*n - 54. Let k be (-7580)\/(-230) - (-3)\/69. What is the greatest common factor of n and k?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -115 - -84 - 3909\/(-126)?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zyyqqzrcd. What is prob of sequence qy?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 109*a - 12268. Calculate m(115).\nAnswer: 267","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0002741688566 rounded to seven dps?\nAnswer: -0.0002742","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 177\/5 - 35. Which is greater: 1 or m?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -38907 < -155625\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1474 or -1470?\nAnswer: -1474","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 334 is divided by 145.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -650, -2459, -5510, -9833, -15458, -22415, -30734, -40445?\nAnswer: -51578","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -65*s**3 + 25*s + 25. Let m(c) be the third derivative of -c**6\/15 + c**4\/8 + c**3\/2 + 5*c**2 - 2. Give -3*b(i) + 25*m(i).\nAnswer: -5*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -2*y**2 - 3*y + 3. Let z(n) = n**3 + 7*n**2 - 9*n - 11. Let k be z(-8). Let s be i(k). Let m(l) = l**3 + 7*l**2 + 6*l + 6. Give m(s).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 146 divide 5949583?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1885*d**2 - 43335*d - 460.\nAnswer: 5*(d - 23)*(377*d + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = 2*r - 25. List the prime factors of r.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2 - -226?\nAnswer: 228","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 144 - 144. Suppose -r + 4 = q, -3*n + 44 = -5*r + r. Solve -24 = 5*u - b, -5*u = -0*u - 5*b + n for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 16 - 0\/(-1 - 1). Put -5, 4, p in descending order.\nAnswer: p, 4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1900) - (sqrt(1900) + -4 + (sqrt(1900) - (0 + sqrt(1900)))) - ((sqrt(1900) + -3)**2 + 2).\nAnswer: -1907 + 60*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 11\/(11\/(-45))*7\/42*4\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1 + -3 - (3 + 3). Let a be 45\/d*(-4)\/3. List the prime factors of 144\/(-2 + a) - 1.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 6\/(145\/475 + 2\/(-10)). Let v = a + -60. What is the third smallest value in 1\/4, 4, -4, v?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in three fifths of a gram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*h = 4*h - 6 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 5309 divided by -72\nAnswer: -5309\/72","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2301601109 to the power of 1\/2, to the nearest integer?\nAnswer: 47975","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -10718354 divided by -5378\nAnswer: 1993","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(500))*2*-2.\nAnswer: -40*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 14599?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -188*w - 43 = 333 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d\/(d\/(d\/(d**(-2)*d)))))**(-21)*d\/d**(1\/5)*d**(-1\/10) assuming d is positive.\nAnswer: d**(217\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 19, 109, 343, 793, 1531?\nAnswer: 2629","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -13*h + 1194. What is the lowest common multiple of g(90) and 28?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-9 - 1)\/(-11 - -7). Let t = -4 + c. What is the second biggest value in -5, t, -2\/19?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 57 (b) -1 (c) 2 (d) -112 (e) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*z + 77*z - z**2 + 16*z - 102*z - 5*z.\nAnswer: -z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 221121010133 (base 4) in base 11?\nAnswer: 6141234","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = 2*y - 21. Let o(l) = -y + 8 + 5*l + l**3 + 2*l**3 - 2*l**3 - 6*l**2. Let a(v) = 7*v + 33. Let d be a(-4). What is o(d)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 0 - -415424?\nAnswer: 415424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7035 and 686541429.\nAnswer: 1407","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -440.911 * -0.113.\nAnswer: 49.822943","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 197*g*r**4 - 227*g*r**2 wrt r?\nAnswer: 4728*g*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r**3 + 11*r**2 + 6*r + 15. Suppose c + 5 + 5 = 0. What are the prime factors of d(c)?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 2*v + 20. What is the remainder when n(13) is divided by 25?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -14\/5542265 and 5\/24385966.\nAnswer: 121929830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 8 = -2*m, -5*m = -0*m + 5*x. Let q be 18\/(-39*(-2)\/4). Is q at least m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*y - 6*y - 5060. Let l = y + 516. Let j(w) = 2*w**2 + 5*w + 6. Calculate the smallest common multiple of l and j(-4).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ve when two letters picked without replacement from {e: 3, v: 2, q: 4}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 2*i**2 + 5*i + 1. Let q = -20 + 15. What is the tens digit of y(q)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -363 by -33.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 84257930?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.051 - 0.449. Let r = 0.500021 + g. What is r rounded to 5 decimal places?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 175*d + 3101. Calculate r(-18).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*g**2 + 6 + 11 - 22 - 40*g + 5 - 5*g**2.\nAnswer: 6*g**2 - 40*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 3*b + 39. Calculate z(-15).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is (7\/(-14))\/((-2)\/388) a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the first derivative of -6*w**7\/7 - 8*w**3\/3 - 7. Find the third derivative of o(b) wrt b.\nAnswer: -720*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3573 and 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 152 or 19?\nAnswer: 152","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -1158447.73 rounded to the nearest 100000?\nAnswer: -1200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2657 - -2659. Let y(s) be the first derivative of -3 + 1\/9*s**3 - 2\/3*s + 1\/6*s**m. Factor y(b).\nAnswer: (b - 1)*(b + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*u + 231 = -41. Calculate the remainder when 124 is divided by u.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -t**3 - 8*t**2 - 7*t + 1. Suppose 0 - 16 = -4*b. Suppose -q + b = -5*q, 4*x + 2*q = -30. Let f be w(x). Solve -3 = -2*h + f for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*c**3 - 13*c**3 + c - 4 - 2*c**2 + 4*c**3 + 4*c**3 to the form v*c**2 + w*c**3 + t + d*c and give t.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -2*s + 3. Let n = 75 - 59. Suppose 2*z = -3*z. Let b be z - 5\/(20\/n). Give v(b).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kqqa when four letters picked without replacement from {q: 1, a: 2, k: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u**3 + 4*u**2 - 6*u + 6. Determine s(-7).\nAnswer: -99","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 354987.\nAnswer: 3, 39443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -36 by -474.\nAnswer: 6\/79","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -36 + 68 + c**3 - 35 + 25*c as s + z*c**2 + v*c**3 + x*c and give x.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-16)\/(-24) + (-1 - (-1811)\/6). Let y = t - 308. Calculate the common denominator of y and -53\/18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7246403?\nAnswer: 17, 23, 43, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1582 + 2570. What is the least common multiple of 8 and b?\nAnswer: 1976","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 1 + 3)*(-3*b - 2*b + 3*b) - 2 - b + 2 + (103*b - 47*b + 509*b)*(-2 + 2 + 1) in the form m*b + i and give m.\nAnswer: 562","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -33*-10\nAnswer: 330","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*(1 + (3*(0 + sqrt(832)) - -1*sqrt(832)*-3))*-3)**2 + 0)*-3.\nAnswer: -108","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 0*t + 237 = 0. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 16 = -3*j, -11*m + 2*j + 24 = -7*m. Let y = 4 - 3. Suppose -3*g + 19 = y. Solve g = -7*n + m*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -16*i**3 - 223938288*i**2 - 223938276*i - 55984568.\nAnswer: -4*(i + 13996142)*(2*i + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0122117 to 3 decimal places.\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (35 - 31) + (0 - 0) + -11.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j**3 + 9*j**2 + j - 3. What is the tens digit of h(-8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 660 + -397. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1065 or 1066?\nAnswer: 1065","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4521*s + 4451*s + 4449*s - 13421*s + 4*s**2.\nAnswer: 4*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w + 30. What is p(22)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 279814\/61 + -4587. Is l at least -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -1 (b) 1\/3 (c) -43 (d) -0.4 (e) -1.41\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -b**2 + 5*b + 12. Let k be y(7). Is 13 a factor of (1\/2)\/(k\/(-328)) - 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -173\/32760 and -173\/73320?\nAnswer: 1539720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 291 divided by -3?\nAnswer: -97","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6 + -3. Differentiate 2*c**3 - 4 + 3 + v wrt c.\nAnswer: 6*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -58 + 0 - (-4842 - -4738).\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/4791850 > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**10\/a**(-13))**(-28)\/((a**(-5)\/a*a)\/(a**(-3\/5)*a)*a\/a**(-1\/2)*a\/(a*a*a*a**(1\/4))*a) assuming a is positive.\nAnswer: a**(-12777\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 3*k**2 - 11*k - 1. Let r be u(3). Let t(v) = -29*v + 34. List the prime factors of t(r).\nAnswer: 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 q when two letters picked without replacement from {n: 2, z: 2, x: 1, q: 9}.\nAnswer: 18\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 861173 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4262832246?\nAnswer: 2, 3, 17, 59, 708347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 573.6814 milliseconds in microseconds?\nAnswer: 573681.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 14.68 + 0.32. Let g = i + -14.7. Let l be 3 - (-16)\/(1 - 3). What is the smallest value in l, 0.1, g?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.2 - -6.7. Let k = -5 + v. Which is the closest to 1\/3? (a) 2 (b) k (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2428926 a multiple of 1049?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 440225764?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h**2 + 5*h + 2. Let s be r(6). What is the remainder when 2*(0 - 58\/s) is divided by ((-4)\/(-2))\/(-2)*-10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*s**2 + 2*s**2 + 5*s**2)*(-2*s**2 + s**2 + 0*s**2) + 2*s**3 - 2*s**3 - s**4.\nAnswer: -8*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y = 5*c - 4*y + 35, 3*y = -2*c + 7 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 5*c + 2. Suppose -17*s + 1 = 52. What is v(s)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (16\/40)\/(1\/10). Solve s*k = 6 + 10 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1395020723 to the nearest integer?\nAnswer: 1117","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (139 + 2*c**2 - 139)*((c**2 + 0*c + 0*c)*(-1 - 3 - 3) - c**2 - 3 + 3).\nAnswer: -16*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3616 = 7*f + 1068. What is the highest common divisor of f and 3003?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -124\/7 or 506426?\nAnswer: -124\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 50 is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 106.9427 millennia in centuries?\nAnswer: 1069.427","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the third derivative of -h**7\/1890 + 2*h**6\/135 + h**5\/10 - 55*h**4\/24 + 11*h**2 - 2. Let y(j) be the second derivative of n(j). Factor y(p).\nAnswer: -4*(p - 9)*(p + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5 + 21. Suppose f = -3*t + 58. What is the least common multiple of t and 42\/(-9)*(-1)\/(21\/18)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jj when two letters picked without replacement from jffjjf.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -4*w - 3. Determine t(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 476431?\nAnswer: 347, 1373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t\/(t**4\/t)*t)**13)**(1\/64))**(-2\/19) assuming t is positive.\nAnswer: t**(13\/608)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 30 and 5338510.\nAnswer: 16015530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-108471)\/(-114))\/(1 + 1071\/(-1070)) + 5. What is s rounded to the nearest ten thousand?\nAnswer: -1020000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2380\/102*((-17280)\/(-84))\/48.\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 86249173 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = -5*z - o + 7, 3*z + 7 = -o. Let w be z\/4*(8 + -24). Suppose t = -n + 17, 4*n = w*t - 3*t - 121. What is the tens digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -17\/388 less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d**3 - 16*d**2 + 18*d + 19. Is b(16) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 9144?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -543 - -540.32. Round n to zero decimal places.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n + 9. Suppose 20 = -2*j - 0*j. What is the units digit of g(j)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -51727, -413691, -1396141, -3309319, -6463467, -11168827, -17735641, -26474151?\nAnswer: -37694599","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:44 AM and 11:12 AM?\nAnswer: 508","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 76*v**3 - 2*v**2 + 1. Suppose 20 = 2*s + 4*u + 2, 4*u - 14 = 2*s. Let z be g(s). Calculate the highest common factor of z and 30.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 22 - -1. Calculate the lowest common multiple of 7 and j.\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 186 a factor of 1403370?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -2*i - 2. Let s(f) = f + 2. Let v be ((-9)\/15)\/((-5)\/25). Determine v*s(z) + 2*g(z).\nAnswer: -z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -76 + 44. Let o = 34 + d. Let p = 18 + -17. Solve -3*m + 3 = 3*t, o*m = -4*t + p + 3 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 3*o**3 - 512*o**2 - 807*o + 20469. Determine m(172).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/60*20*18\/14.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -2*z**3 + 10*z**2 + 4*z - 11. Determine l(5).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of f**5*q + 2*f**3*q - 895*f**2 + 4*f*q - 4*f - 5*q wrt f?\nAnswer: 20*f**3*q + 12*f*q - 1790","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 16474?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/111 (b) 2 (c) -3 (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-2\/5)*a*a**(-1\/2))\/(a\/(a*a\/((a\/(a*a\/a**5*a))\/a))*a*a**(-24)) assuming a is positive.\nAnswer: a**(221\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + n)*(2 - 2 + n + (-3 + 4 + 0)*(5*n - 2*n - n) + 3*n + 3*n - 4*n + 0*n - 2*n + 0*n + 81 - 6*n - 81).\nAnswer: -3*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2002695?\nAnswer: 3, 5, 19, 7027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = o - 14. Let j be q(7). Let r = -142\/5 + 28. Is j greater than or equal to r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 378 and 21882?\nAnswer: 196938","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -697248 divided by -324\nAnswer: 2152","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -l**2 - 15*l + 405. What is the units digit of s(0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*i**2 - 1367490*i - 93501445005 = 0. Calculate i.\nAnswer: -136749","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -5*r**2 - 727*r - 2866. Determine m(-4).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 5, -0.3, -4\/37, 3, -38, 1\/2?\nAnswer: -4\/37","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/13, -0.1, 8, -2\/9, 2739 in decreasing order.\nAnswer: 2739, 8, 2\/13, -0.1, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*v = -27*v - 36 for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.940448 litres to millilitres.\nAnswer: 1940.448","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 4*-0.041\nAnswer: -0.164","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 220?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 18*q**2 - 36*q - 43. Let d(u) = -10*u**2 + 18*u + 22. Let g(s) = -11*d(s) - 6*m(s). Let g(b) = 0. What is b?\nAnswer: -8, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 + -1. Let u be (w - -2) + (-6)\/8. Let d(j) = -j**2 + 33*j + 34. Let m be d(-1). Is m < u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**10\/s)\/s)**(-11)*s**(-5)*s**(-2\/29) assuming s is positive.\nAnswer: s**(-2699\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 15406*0.158\nAnswer: 2434.148","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -2\/17, -1\/4, -0.4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i**2 - 3*i**2 + i**2 + 7*i**2. Let d(f) = 4*f**2. What is d(o(u))?\nAnswer: 64*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 8 (b) 5 (c) 3 (d) -148.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 8d51 (base 14) in base 9?\nAnswer: 36631","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5952\/1099 - -5489910\/941843. Let g = -3543639\/4285 - q. Let a = g + 831. Are a and 4 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j - 1. Let h(y) = y**2 - 6*y + 5. Let u(k) = 5*g(k) + h(k). Let n(m) = -4*m**2 + 2*m + 2. Let v(b) = n(b) + 5*u(b). Factor v(o).\nAnswer: (o - 2)*(o - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -20004\/5 - -141644\/35. Let y = -368\/7 + v. What is the common denominator of 97\/4 and y?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7060378?\nAnswer: 2, 13, 271553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 take away -0.158?\nAnswer: 0.158","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 694823 and 407.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m**2 - 3*m + 2. Let a be p(3). Let s(z) = z**3 + 35*z**2 + 69*z + 100. Let o be s(-33). What is the second smallest value in -3, a, 0.2, o?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = -2*s - s - 3569980, -15 = -3*k. Round s to the nearest one hundred thousand.\nAnswer: -1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4231374+28\nAnswer: 4231402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 times -26.8?\nAnswer: -26.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1013738*p - 1013579*p - 477 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 361397606?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1216 (base 10) in base 2?\nAnswer: 10011000000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -7*y - 1. Determine b(-12).\nAnswer: 83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**5 + 652*l**4 - 1301*l**3 + 650*l**2.\nAnswer: -l**2*(l - 650)*(l - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -17*u - 40. Let a(r) = -22*r + 45. Let v be a(3). Does 27 divide m(v)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 116170*n - 24744221. What is r(213)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7 - -12) + -28 - (-7 + (-7 - -10)).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = -3*j - 2*j, 0 = -5*j + 3*a. Suppose j = 5*q + 2*b + 206, -5*q + 0*q - 191 = -3*b. Let o be q*((-3)\/(-3) - 18). Round o to the nearest one hundred.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 175 minutes after 2:32 AM?\nAnswer: 5:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 0\/((-4)\/2)*155\/(-155)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 684488 greater than 684488?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4 - -1. What is the units digit of x + (-44)\/(-6)*9\/6?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2 + 632?\nAnswer: 634","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a minute in milliseconds?\nAnswer: 14400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 324551911 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 3*i - 13. Suppose 17 = 3*s - i. What is the greatest common divisor of 63 and s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from reerrrr. Give prob of picking 2 r.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 140 by -4.\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y**2. Let g(f) = -15*f + 2689*f - 8065*f + 2428*f. Give n(g(s)).\nAnswer: -8779369*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence spp when three letters picked without replacement from pppppsppppppss.\nAnswer: 55\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 1 + q - 2 - q**2 - 7. Give o(0).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1.2 and -0.03?\nAnswer: -0.036","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -75*p - 4*f = -76*p + 231, f + 34 = 5*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 22*c**2. Let s(l) = 1029717*l**2. What is j(s(t))?\nAnswer: 23326976201958*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-4)\/p)\/(p*p**1))**(-3\/2)\/((p\/p**(-3\/11))\/(p*p\/((p*p\/(p\/(p\/(p*p*p**8)*p)))\/p)))**9 assuming p is positive.\nAnswer: p**(1959\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3128 by 391.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(((sqrt(104) - (sqrt(104) + -1*sqrt(104)*-2 - sqrt(104)) - sqrt(104))*-5)\/(-4*(sqrt(200) - (1*sqrt(200) + sqrt(200)))))**2.\nAnswer: 65\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -u**3 - u**2 - u - 1. Let i(r) = 7*r**3 + 5*r**2 + 5*r + 10. Let x(d) = 5*f(d) + i(d). What is the first derivative of x(j) wrt j?\nAnswer: 6*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(4235)*2 + sqrt(35) - (sqrt(35) - sqrt(385)\/sqrt(176)))\/(sqrt(320)*-5*1).\nAnswer: -89*sqrt(7)\/160","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the first derivative of 5*t**2\/2 - 4*t - 258. What is o(6)?\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that -5*q**3 + 194760*q**2 - 194745*q - 389510 = 0.\nAnswer: -1, 2, 38951","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the first derivative of -19*k**3\/3 + 254. Let t(o) = 16*o**2. Determine x(t(m)).\nAnswer: -4864*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5143 is divided by 66?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a**2 - 5*a + 4. Calculate k(-6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 892?\nAnswer: 2, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*t - 110 = 25. Suppose -3*g + 0*g + t = 0. What is the lowest common multiple of 2\/(-5) + (-222)\/(-30) and g?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*v - 17253 = 20*v. Let x = -632 - v. Solve 2*g = 4*b - 2, g + 0*g = -4*b - x for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2 - 2)*(59 - 10*y - 59) + 2 - 2 - y.\nAnswer: -21*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1140, 2450, 3920, 5550, 7340, 9290?\nAnswer: 11400","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.69 (b) -2\/3 (c) 1.03 (d) -2 (e) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -28525.01 to the nearest 10.\nAnswer: -28530","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2a66 + 35?\nAnswer: -2a31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1*2*(-2)\/(-14). Suppose 2*d = 6*d - 8. Which is the nearest to 1? (a) -1\/3 (b) d (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 11*o**2 + 316186 + 8*o**3 - 30*o**2 - 36*o**2 - o - 316174 + 90*o.\nAnswer: (o - 4)*(o - 3)*(8*o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 0 - 6 = 0. Which is the closest to -3? (a) f (b) 5 (c) 4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 9448 + -9450. Let v be 7*-1*(0 + 1). Which is the third biggest value? (a) 12 (b) q (c) -2\/7 (d) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -17147*r**4 + 2*r**3 + 5*r**2 - 22*r - 1 wrt r.\nAnswer: -411528*r + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 11 + -2 - (38 + -25 - 33)\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 10*y - 7*y. Calculate the highest common divisor of 1 and y.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*t - 0*t + 186. Let f be (-1)\/(255\/(-129) + 2). Let c = t + f. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 25, 47, 69, 91, 113, 135?\nAnswer: 157","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -65599*o**3 - 5*o**2. Suppose 0 = 2*p + u - 5, -p - 20 = u + 4*u. Let d be l(p). Round d to the nearest one million.\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (a**2 - a**2 - 2*a**2)*(-5*a**2 + 10*a**2 - 2 - 6*a**2).\nAnswer: 2*a**4 + 4*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.69 + 40.31. Let n = -40.7 + y. Put -1\/5, 2\/11, n, 3\/5 in increasing order.\nAnswer: -1\/5, 2\/11, n, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.5 - -0.8. Suppose 3*o + 216 = 123. Let t be ((-6)\/(-4))\/(o + 34). What is the closest to t in q, 1\/3, 4?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 10 = 5*p, 4*p - 2*j = -0*p - 4. What is the biggest value in 0.3, 0.5, p?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11225 rounded to the nearest one hundred?\nAnswer: -11200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-552)\/46 - (5\/3)\/(8\/(-24))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 2 - 1)*(6*o - 18*o + 4*o) + (5*o - 21*o - 14*o)*(-2 + 6 - 3)*(-1 - 2 + 1)*(2 + 2 - 7) as b*o + r and give b.\nAnswer: -196","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*h**3 + 50097*h**2 - 500718*h + 801072.\nAnswer: -3*(h - 16689)*(h - 8)*(h - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 10 = -2*j - 4*o, -3*j + o + 17 = 0. Suppose 0*w + 0 + 5\/4*w**5 - 3*w**j + 9\/4*w**3 - 1\/2*w**2 = 0. What is w?\nAnswer: 0, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -139*f + 169 = 85*f - 55 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 28206\/63 + 2\/7. Suppose -i = p - 15*p. Suppose -f + p = 12*j - 8*j, f = j - 13. What is the greatest common factor of 81 and j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w**2 + 3*w - 78. Let r be g(-5). Which is greater: r or 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that 2*o**2 + 16008068*o + 32032280136578 = 0.\nAnswer: -4002017","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6*(24\/576)\/((-9)\/(-8))?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 7*y - 174. Let m(f) = -3*f. Calculate m(r(l)).\nAnswer: -21*l + 522","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*c**2 - 6*c**2 - 4*c**2.\nAnswer: -7*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(209)*6 - sqrt(209) - -1*(sqrt(209) + (sqrt(209) - (sqrt(209) - 5*sqrt(209) - sqrt(209)))))\/(sqrt(484)\/sqrt(11) - (-4*sqrt(704) - sqrt(11))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -243.7085629 to two decimal places.\nAnswer: -243.71","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 1\/29, -0.0262.\nAnswer: -4, -0.0262, 1\/29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(7\/2)*q**(-5\/4)*(q**(-4\/3)*q*q*q)**(5\/3) assuming q is positive.\nAnswer: q**(181\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n\/n**1)*n\/(((n\/(((n**(-8)\/n)\/n)\/n)*n)\/n)\/n)*n)\/(((n\/n**(1\/3))\/n)\/(((n**(-2\/5)\/n)\/n)\/n)) assuming n is positive.\nAnswer: n**(-166\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of n**3*u**3 + 3*n**3*u**2 - 2*n**2*u*x - 1303*n*u**3*x - 61*n*u**2*x wrt u?\nAnswer: 6*n**3 - 7818*n*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 610 = 5*x, 4*x - 2*x + 2*c = 226. Let j = x + 260. What is the tens digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*s**3 + 2*s**4 - 5*s**3 + 3*s**4 + 0*s**4 - 5*s**4 + (s**3 + 3*s**3 - 5*s**3)*(1 - 1 + s) - 3 - s**4 + 3 - 485*s**4 + 933*s**4 + 561*s**4.\nAnswer: 1007*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(5*(sqrt(99) - 2*sqrt(99)) + sqrt(99) + sqrt(99))\/(sqrt(45)\/sqrt(5)*-3).\nAnswer: 6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(931) - (sqrt(931)*-3*3)**2) + (5 + sqrt(931) + (sqrt(931)*-4 - sqrt(931)))**2)*4*-4.\nAnswer: 4368*sqrt(19) + 967840","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -605*t**2 + 313*t**2 + 1636*t + 289*t**2 + 247*t**2.\nAnswer: 244*t**2 + 1636*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1, 0, -17, -3\/5, -6\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1 + 3. Suppose -x = -2*z + 18, 55 = 4*z + m*x + 3. Let u = 29 + z. Is 20 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t - 29*t = 1525 - 1141 for t.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 109 - 111. Let o be s\/11 + 17\/((-374)\/(-92)). Suppose 0 = -o*t - 4*m + 8, -3*m = 5*t - m - 4. Is t <= -13\/12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 33272000 to the nearest one million.\nAnswer: 33000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the second derivative of 10183*d**3\/6 - 11861*d**2\/2 + d + 328. Find the first derivative of k(h) wrt h.\nAnswer: 10183","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.035711 - -3.\nAnswer: 3.035711","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 742?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1214 is divided by 44.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -324 - -77. Let k = o + 356. What is the tens digit of (-4)\/16 - k\/(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -10*w + 131. Let n(r) = 5*r - 75. Let p(h) = -7*n(h) - 4*y(h). Let z(j) = -j**3 - j - 1. Let o be z(0). Determine p(o).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 4 + 11*h - 2*h + 6 + h**2 - 1. Determine l(-6).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -28*k + 40. What are the prime factors of g(-9)?\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -2*y. Let v(d) = 1384*d**2 - 1789*d + 1. What is v(j(s))?\nAnswer: 5536*s**2 + 3578*s + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -5*((-24)\/10 + 3). Let y be o + 2 + 2 - -1. Suppose -3*n - 5*p + 3*p = -967, -4*n = y*p - 1286. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q**3 - 2*q**2 - 2*q. Let i be z(-2). Let l be ((-1)\/(-4))\/(9\/36). Factor -3*f + i*f + l + 4*f**2 - 5*f**2 - f**3.\nAnswer: -(f - 1)*(f + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 149358 to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*l = -30*l - 62. List the prime factors of l.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 62*q. Let h(y) = -10*y + y + 126*y**2 - 141*y**2 + 9*y. Calculate z(h(n)).\nAnswer: -930*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 25 - 22. Suppose -2*l + w = -23. Suppose v - 9 = l. What is the units digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 = -t + 494*j - 490*j, 2*j = -4 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -8268 (base 9) in base 10?\nAnswer: -6056","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 175 = -5*h, -4*s - 5*h = -9*s + 215. What is the greatest common factor of 52 and s?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 3*t + 2. Let s(b) = -4*b + 80. Give 5*q(i) - s(i).\nAnswer: 19*i - 70","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - -2 - (107 - 99)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -4068, -16232, -36564, -65112, -101924?\n\"Answer: -8*w**3 - 4036*w**2 - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-80)\/140)\/((-4)\/(-14))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -30*f - 1990. Calculate u(-130).\nAnswer: 1910","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12 + -122121120022222010?\nAnswer: -122121120022221221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*j**3 + 13*j**3 + 6*j**3.\nAnswer: 5*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 150966, 152319, 153672, 155025, 156378?\nAnswer: 157731","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 32320020 (base 4) to base 6\nAnswer: 1150040","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -254 > -255?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 2, x: 3, p: 10}. Give prob of picking 1 x and 2 p.\nAnswer: 27\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmmmiimiiimiiimmimmm. Give prob of sequence ii.\nAnswer: 18\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00673508 to 3 dps.\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -474 - -724. Let v = r + -444. What is the common denominator of 33\/14 and 3 + -3 + v\/(-16)?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 32, 112, 242, 422, 652?\n\"Answer: 25*n**2 + 5*n + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.18261 - -738.91739. Let p = 739.25076 - y. Let n = p + -0.15. What is n rounded to four decimal places?\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*k**2 - 392*k - 1860.\nAnswer: -4*(k + 5)*(k + 93)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v**3 - 3*v**2 + 6*v. Let u be 4 - (-2 + 3\/(-2 - -3)). Let b be t(u). Suppose -c + b = 8*c. Sort 1, 4, c, -4.\nAnswer: -4, 1, c, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1913782221?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7788238 or 7788187?\nAnswer: 7788187","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1006749507 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -97274*k**2\/7 - 291818*k\/7 + 12\/7 = 0 for k.\nAnswer: -3, 2\/48637","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*g + 3*g + 2*g**3 + 2*g**3 - g**3.\nAnswer: 3*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kkq when three letters picked without replacement from {q: 1, k: 4, j: 3}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -f**2 + 18*f - 8. Give u(14).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = 13*j - 121. Calculate the remainder when 185 is divided by j.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1252 - 802. Calculate the greatest common divisor of 36 and t.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - 16 - (120 + -103 + 24 + -4).\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 3*o = -2*k + 3, 3*k - 5*o = -5. Suppose 3*m + 53 = -k*m - 2*y, 4*m + 52 = 2*y. Let l = 26 + m. List the prime factors of l.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 2\/17 + (25146\/4743 - 4) and 13\/124?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 560 minutes before 5:21 AM?\nAnswer: 8:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -7278, -12990, -18702?\n\"Answer: -5712*u - 1566","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.16142 * -3.\nAnswer: -0.48426","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + -1 - (-3 + -5 + 13).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.09 in 2, -7, -4, 4.4, 2\/41?\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*c - 141 + 69 = 0. Solve -6*j - c = -0 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -109*x + 896 = 19*x for x.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k - 2. Let i be h(-5). Let d(x) = -11*x**3 + 5*x**2 + i - 16 - 3*x**2 + 0. Let l(u) = u**2 - 5 - 1 + 0*u**3 - 5*u**3. Calculate -4*d(a) + 9*l(a).\nAnswer: -a**3 + a**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 333 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 10.7, -2\/11, -5, 4?\nAnswer: 10.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 + 1 + 25 + (-4 - 9) + 10.\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 54 + -50. Solve -1 = -q*o + 7 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 25 + 6 - 24*p**3.\nAnswer: -24*p**3 + 29","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(-25)*750\/100.\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 210.24399 months in years?\nAnswer: 17.5203325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 77\/2022276 and 7\/192?\nAnswer: 32356416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 4*z = 3*x + 7, 5*z - 8 = -x. Solve 12*u - 60 = -x*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6806.2 - 6806.3. Let b be 1 + (-6 + 0)\/2. What is the nearest to g in 2\/11, 4, b, 8\/3?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that 2*h**2 - 1476696*h + 5906752 = 0.\nAnswer: 4, 738344","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (20\/882)\/(335\/(-3015))*-7.\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 99 is divided by 37.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.3 - 0.5. Let s = 66 + -62. Put 0, s, m in ascending order.\nAnswer: m, 0, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 304\/72 + (-6)\/27. Calculate the highest common divisor of 4 and m.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2.3 in -2, -1\/9, 2\/23, -3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 489 divide 2133507?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 0.3, 3\/23, 0.01, -5, -3, 0.05?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + l + 2*l = 2, -2*u - 5*l = 7. Let o be 1 + -1 + (-1 - u). Is o + -1 - (1 + -10) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-752)\/3760)\/(3\/5)*72\/1\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are -17406966 and -121848771\/7 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.1 and -0.30461430951.\nAnswer: -0.20461430951","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 9 = -10*y + 7*y, -2*n - 4*y = -2. Let s(c) be the first derivative of 11*c + 0*c**2 + n + 10\/3*c**3. Find the first derivative of s(l) wrt l.\nAnswer: 20*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16648?\nAnswer: 2, 2081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4)\/(-5) - (-858)\/165. Solve 5*s - 3*s = r for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -8695253, -17390496, -26085739, -34780982, -43476225, -52171468?\n\"Answer: -8695243*w - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -a + 4*f, 4*a - 2*f - 18 = 36. Let n be (-24)\/10*(1 + a). Let i be (-1)\/(-2) + n\/(-8). Solve p = 6*p + i for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 325 minutes after 12:32 PM?\nAnswer: 5:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the first derivative of 29 - 10\/3*i**3 - 29\/4*i**4 - i + 0*i**2. Find the third derivative of l(j) wrt j.\nAnswer: -174","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 13 - -54. Suppose -4*i + 0*n = n - 55, 5*n = -4*i + r. Suppose -w + 2*t + 1 = 2, 0 = -2*w - t + i. Is w a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 251 minutes after 7:54 PM?\nAnswer: 12:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -304330 + 55?\nAnswer: -304231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-7))\/(5*(-2)\/(-10))?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 85869809 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -11 + 16. Let f(p) = -10*p + 5*p**2 + p**3 + 7*p + 0 + z. Is f(-5) a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qrn when three letters picked without replacement from {q: 2, r: 4, n: 6}.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (176\/(-220))\/((-24)\/750).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 11 = -3*f. Suppose 5*o + 5 = 0, -m + 8 - f = o. Solve -4*a = 2*z + 14, m*a + 0*z = z for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1064645?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 558 - 357. What is the tens digit of d*((-28)\/(-6) - (-12 - -13))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-19 - -7) + (9 - 5) + 1 + -1\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 312.05 + -304. Let h = -0.05 + u. Let y = h + -6. What is the nearest to 2 in 0.4, y, -5?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**6\/x**(1\/3))\/(x*(x\/(x**(-3)*x))\/x*x**(-6\/7)) assuming x is positive.\nAnswer: x**(74\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k**4\/11 + 172*k**3\/11 - 4178*k**2\/11 + 20640*k\/11 - 28800\/11 = 0.\nAnswer: 3, 40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j + 1 + j**2 + 9*j**2 - 18*j**2. Let u be p(-1). Round u to zero dps.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8707 - -68610. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/(-10) - (-11)\/(-5). Suppose -2*n = 2*n - 3*j - 39, -5*j - 25 = 0. What is the units digit of n\/(l + 0) + 15?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 + 17 + 2 - (-27 - 1) - 5?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4650 - -4685. Which is greater: 41 or f?\nAnswer: 41","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 4007174, 11 in increasing order.\nAnswer: -1, 11, 4007174","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that -18*a**5\/5 + 16554*a**4\/5 + 292558*a**3\/5 - 200554*a**2\/5 + 33732*a\/5 = 0.\nAnswer: -18, 0, 1\/3, 937","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 121269 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the second derivative of -i**5\/10 - i**4\/3 + i**3\/3 - 4*i**2 + 69*i. Let h be r(-3). Solve 0 = 9*m - h*m + 15 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2021 - 1382 + 8309 + 7232)*(-w + 1 - 1).\nAnswer: -12138*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 29383 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 m = 1827 - 947. What is the tens digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/((-12)\/(-8)))\/(1*-2).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 14 and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 369 - 35. What are the prime factors of r?\nAnswer: 2, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -58065, -58010, -57955?\nAnswer: -57900","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 354517348, 709034697, 1063552046, 1418069395, 1772586744?\nAnswer: 2127104093","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.4? (a) -20 (b) 4 (c) 3 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -160 + 245. Is 7 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 563182743 to the nearest integer?\nAnswer: 826","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:11 PM and 3:26 PM?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 62 + 18?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 8\/(-14) - -1 - 6\/42. Factor 4\/7 - 2\/7*g**2 + u*g.\nAnswer: -2*(g - 2)*(g + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the second derivative of z**8\/1120 + 2*z**4 - 25*z. Let h(n) be the third derivative of c(n). What is the units digit of h(1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 123321513 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-28)\/21)\/(3 - 1)*3\/(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4\/14 - (-20)\/(-70). Suppose -4*i + m + 153 = n, -4*i + 5*m = -157 - 16. What is the units digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -0.3, 0.3, -3, 4\/5, -1\/4, -264?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -53? (a) 0.05 (b) -0.2 (c) 0.48\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -6*y**2. Let u(f) be the third derivative of -f**5\/60 - 5*f**2. What is u(s(n))?\nAnswer: -36*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.03217 - -0.00217. Let k = -4 + 3. Let s = 1.4 + k. Sort t, 0, s in decreasing order.\nAnswer: s, 0, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.33 (b) -1\/9 (c) -8\/83 (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 1\/2, -4.491 in increasing order.\nAnswer: -4.491, -2, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine halves of a year in months?\nAnswer: 174","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 2*b**2 + b - 1. Let d be a(-2). What is the second derivative of 0*p**5 + 4*p**5 + 2*p - p - 2*p**d wrt p?\nAnswer: 40*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the second derivative of -p**6\/30 - p**5\/20 + p**4\/6 + 4*p + 13. Factor s(m).\nAnswer: -m**2*(m - 1)*(m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-8 + 4)\/(((-40)\/22)\/2). Solve -8\/5*g**5 - 18\/5*g**3 - s*g**4 + 0 - 2\/5*g**2 + 2\/5*g = 0 for g.\nAnswer: -1, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.261 and 0.1121?\nAnswer: 0.0292581","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 614 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 324155 is divided by 476.\nAnswer: 475","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 756, 3028, 6808, 12090, 18868?\n\"Answer: -b**3 + 760*b**2 - b - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-660)\/5)\/6*(-1)\/(-2). Let t be w\/((-66)\/(-73200))*10\/1. Round t to the nearest 10000.\nAnswer: -120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 351449300 and 300.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let 0 - 1\/8*n**3 - 791\/8*n - 99*n**2 = 0. Calculate n.\nAnswer: -791, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (796*v**2 - 1386*v**2 + 801*v**2)*(23 - 4*v**2 - 21 - 5*v**2).\nAnswer: -1899*v**4 + 422*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 783 divide 12867039?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 5\/(-15)*-18*2\/8\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -462 (base 10) to base 5.\nAnswer: -3322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = 2*y + 22, -3*r - 2*y + 26 + 0 = 0. Suppose 0 = -r*t + 10*t - 1166. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -69, 1.3, -4, 0.5, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19690 = -445944*y + 445765*y for y.\nAnswer: -110","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -53 - (129 + -204) - (82 - 2)?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0249378773 rounded to six decimal places?\nAnswer: 0.024938","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the first derivative of 3*k**2\/2 - 14*k - 10. Let m be r(9). Solve -7 - m = -5*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -76 - -79. Let x(p) = p**3 + 3*p**2 + p + 3. Let b(d) = 2*d**2 + 2. Calculate m*b(o) - 2*x(o).\nAnswer: -2*o**3 - 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 168.6562g in nanograms?\nAnswer: 168656200000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/((-3)\/(-3)*15\/5)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 3 o when four letters picked without replacement from eeoeoeeoeeooe.\nAnswer: 16\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24*i**3 - 21*i**3 + 5*i**3.\nAnswer: -40*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jf when two letters picked without replacement from {c: 6, g: 6, f: 5, j: 1}?\nAnswer: 5\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*a**3 + 0*a**3 + a**3 + (3 - a - 3)*(1 - 2*a**2 - 1) + 2*a**3 - 4*a**3 + 4*a**3)*((3 + 2*a - 3)*(-2 + 3 + 0) - 16*a - 101*a - 30*a)*(-a - a + 3*a).\nAnswer: -1015*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/(-9) - ((-29372)\/18 + 2). Let p = l + -464. Suppose 0 = 5*n + 2*x - 1281, p - 392 = 3*n + 3*x. List the prime factors of n.\nAnswer: 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x. Let a be l(7). Suppose -4*s + 4*j = -12, -2 = -s + a*j - 5*j. Solve 5*c - c + s = 0 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2299 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: What is the value of (860\/60)\/(-43) + (-10)\/78?\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence akm when three letters picked without replacement from mkkakkkaaaa.\nAnswer: 5\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6 + 21. Calculate the remainder when 51 is divided by t.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 18 - 19. Let z(x) = -22*x + 1. What is the remainder when z(r) is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - c**3 - 4)*(2*c - 4*c + c) + (16846*c + 4198*c + 9714*c - 6206*c)*(4 - 2*c**3 - 4).\nAnswer: -49103*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5, -4, 9, -0.5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7058 by -1.\nAnswer: -7058","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 720 = -w, 2*u + 5*w = 6*u - 597. Calculate the greatest common factor of u and 26.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 95494 and 2470.\nAnswer: 6207110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 118196 and 86646760.\nAnswer: 9092","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1156720238 to the nearest integer?\nAnswer: 1050","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1685 a factor of 95851225?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 884503003?\nAnswer: 227, 3896489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.804 - 0.114. Let j = 0.33 - n. Let t = 0.36 + j. Is t bigger than 2\/15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8, -34, -72, -116, -160?\nAnswer: -198","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-10)\/(-4)*(-24)\/(-10). Suppose f*z + 4*d = z + 80, 4*z - 4*d = 28. Suppose z*q = 7*q + 1030. What are the prime factors of q?\nAnswer: 2, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u - 8. Let l be m(6). Let b = l - -5. Find the third derivative of c**3 + 0*c**3 - 2*c**2 - 2*c**b wrt c.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -14\/351 or -1?\nAnswer: -14\/351","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 4, g: 5, q: 10}. What is prob of picking 2 q and 1 g?\nAnswer: 75\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23\/14 and -23\/6894.\nAnswer: 48258","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -i + 1. Let y(s) = -10*s**3 + 3*s - 3. What is -3*c(u) - y(u)?\nAnswer: 10*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1350401, 1350354, 1350307?\nAnswer: 1350260","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -15 - -23. Suppose -3*z + 1 = -2. Let g be -2*(-7 - (z + -2)). Calculate the highest common factor of g and w.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 70 = 3*y, 2*y + a - 21 - 19 = 0. What is the smallest common multiple of y and 66\/(-9)*6\/(-2)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eo when two letters picked without replacement from ooeooeo?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 3*f**2 + 52*f + 213. Determine z(-7).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 0.0435 times -499590\nAnswer: -21732.165","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 520 and 2596880?\nAnswer: 2596880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -124528 divided by -172.\nAnswer: 724","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 35105 and 5369?\nAnswer: 413","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(847) + 1.\nAnswer: 11*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3400362 or -3400345?\nAnswer: -3400345","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 55855 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1794149, -3588299, -5382449, -7176599, -8970749, -10764899?\n\"Answer: -1794150*l + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 238a3 (base 13) to base 2\nAnswer: 1111111010101110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 25.88614ml to litres.\nAnswer: 0.02588614","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -30 + -2. Let y be a\/10*(-20)\/4. Suppose y = 2*z - 86. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 339*v + v**2 + 8*v**2 - 6*v**2 - 4*v**2.\nAnswer: -v**2 + 339*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = -0*j + 20. Let g(y) = -7*y - 3 + 0 + 10*y - 3 - 6*y**2. Let f(z) = 1 - z**2 + 6 - 4*z + 8*z**2. Calculate j*g(n) + 4*f(n).\nAnswer: -2*n**2 - n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -635 + 634.4504. Let w = r + 0.55. Round w to three dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 280591*v + 1683627. Give k(-6).\nAnswer: 81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 193.17651 + -53755?\nAnswer: -53561.82349","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1225263 a multiple of 89?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2\/101 + -4517\/1414. What is the common denominator of z and 89\/16?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*r + 3*s - 7, 20 = -2846*r + 2841*r + 5*s for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, -2\/123, 0.5 in descending order.\nAnswer: 0.5, 0.1, -2\/123","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -1151398 divided by -575699?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the first derivative of -2\/65*m**5 + 3\/26*m**4 + 0*m**3 - 49 + 0*m + 0*m**2. Factor b(y).\nAnswer: -2*y**3*(y - 3)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from akkcekfacakxeeeafekf. What is prob of sequence kaak?\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 2*b**2 - 2*b + 1. Let v be y(2). Let w be (-12)\/v - 0 - -2. Which is greater: w or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -180490\/4809 or -37?\nAnswer: -180490\/4809","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q**3 - 22*q**2 - 47*q - 9. Suppose 3*b + 10*b = 312. Let i be j(b). Solve -2*r + 5*r + i = 0 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 48756 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -62121*k + 62126*k = -5*w + 50, 3*k + 10 = 2*w for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 697971390 to the power of 1\/3, to the nearest integer?\nAnswer: 887","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 5089, 10029, 14969, 19909?\n\"Answer: 4940*a + 149","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) 6\/11 (b) -0.6 (c) 1 (d) 5 (e) -36 (f) 1\/11 (g) -0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 97*u - 84*u - 5525. What is the greatest common divisor of 75 and u?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1024*d - 46800 = 1012*d. What is the units digit of d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 17*x + 699. Determine t(-36).\nAnswer: 87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -10*a - 56. Let x be n(-6). Suppose -x*j - 454 + 2622 = 0. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-12)*o**(2\/7) assuming o is positive.\nAnswer: o**(-82\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -2200221 (base 4) to base 5\nAnswer: -312111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 154344?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (31\/62)\/((-6)\/84)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.048 and 7.389?\nAnswer: -0.354672","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -s**3 + 8*s**2 - 6*s - 6. Let m be b(7). Let i = m + 1. Suppose l = -2*l. Solve l = -i*x + 15 - 5 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1980*n = -1664*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than or equal to -63\/38017717?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 73, 15, -81, -215?\nAnswer: -387","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2935591 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -1161, 566, -5, 2\/21 in descending order.\nAnswer: 566, 2\/21, -5, -1161","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4900 divided by 14.\nAnswer: -350","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j*j\/((j*j**(-6))\/j*j)*j*j*j*j*j**6*j)**21*((j**(2\/9)\/j)\/j)**(1\/19)*(j\/(j**(-4\/11)\/j))\/(j*j**(1\/12)) assuming j is positive.\nAnswer: j**(3011005\/7524)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -23314*l**3*u - 8*l**2*u**3 - 828*l*u**2 + 17*u**3 + 3*u**2 wrt l?\nAnswer: -139884*l*u - 16*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (7*1\/1)\/(-1)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(((-570016)\/7755)\/(-32) + 3\/45)?\nAnswer: -11\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 minutes before 2:40 AM?\nAnswer: 2:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -32, -63, -94, -125, -156?\nAnswer: -187","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -705, -325, 57, 441, 827?\n\"Answer: s**2 + 377*s - 1083","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*i + 14*i - 8 = -2*q, 4*i + 3*q - 15 = 0 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2 - 1327649?\nAnswer: -1327650","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -228, 1, -2\/1805?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-10)\/3)\/((-14)\/21).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - j + 6 = 0, -3*k - 3*j = 2*k + 14. Let q = 86 - 275. Let g = 189.02 + q. Which is the closest to g? (a) 1\/4 (b) -3 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 325, 104, -725, -2222, -4447, -7460?\nAnswer: -11321","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 19*j + 75. Let u be f(-3). Solve -u*d + 24 = -30 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 35 + (-102 - -35 - -31)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 237127 + -65556. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 436?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12537*g = 12904*g + 1468 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 96 a factor of 77745585?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s**2 + 43*s + 30. Let p = 33 - 1. Does 12 divide f(p)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 100.66713 - 0.19713. Let u = p + -103. Round u to one decimal place.\nAnswer: -2.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*r - 39 = 34*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1 + 2. Suppose -14 = -i + 5*c + 7, 83 = 5*i - b*c. Let v = 36 - 20. Calculate the greatest common factor of i and v.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1260713 to the power of 1\/2, to the nearest integer?\nAnswer: 1123","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 3446834 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r**2 + 18*r + 29. What is k(15)?\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*l**3*m + 3*l**3 - 2*l**2*m + 3*l - 341*m**3 + 130 wrt m?\nAnswer: -2*l**3 - 2*l**2 - 1023*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*o + 15*o = -6. Let i = -851 - -849. Sort 10, o, 5, i.\nAnswer: o, i, 5, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2535*g**2 - 355*g - 45 wrt g.\nAnswer: 5070","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 3*t - 3. Let b(r) = 20*r - 2. Let i(m) = -7*m + 1. Let c(f) = b(f) + 3*i(f). Give 21*c(p) + 6*d(p).\nAnswer: -3*p + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2 - -7. Suppose -2*i + 14 = -a*m, 4*m - 56 = -4*i - 0*i. Calculate the remainder when 0 + 105\/(1 - -2) is divided by i.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2551826 is divided by 713.\nAnswer: 712","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the second derivative of -3*s**8\/56 - 3*s**5\/5 - s**4\/6 + 11*s**2\/2 + 2*s + 15. What is the third derivative of x(k) wrt k?\nAnswer: -360*k**3 - 72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50 = 8*x - 46. Suppose x = p - 86. List the prime factors of p.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 323*1957598.\nAnswer: 632304154","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 507 minutes after 9:05 PM?\nAnswer: 5:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 22 = o + 2, -3*f - 2*o = -20. Suppose 5*v = 2*y - f*y + 39, -5*y = v + 6. Let d = v + 3. Calculate the highest common divisor of d and 60.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 25, 36, 47, 58?\nAnswer: 69","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 - 5 + 2)*(1 - 5 + 5) + 1 + 0 + 0 - 1 - 1 - 1 + 31 + 13 + 171)*(-3*q**2 + 3*q**2 + q**2).\nAnswer: 211*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = -2*w + 12. Suppose -5*o - y = -0*y, 0 = 5*o - w*y. Suppose o*l + 42 = l. What is the units digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 37 - 23 = 0. Suppose -s - 5*o = -49, o + k = 6*o. What are the prime factors of s?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o**3 - 5*o**2 + 6*o - 8. Let z be t(4). Suppose -7*h + 112 = -z*h. What is the remainder when 61 is divided by h?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -3, -8\/503 in descending order.\nAnswer: 4, -8\/503, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4629776.\nAnswer: 2, 289361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 3590*r + 63. Let y(p) = 1197*p + 18. Give -2*j(b) + 7*y(b).\nAnswer: 1199*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 4057*w - 1393. Let q(u) = 1352*u - 467. Let i(n) = -8*q(n) + 3*t(n). Differentiate i(r) with respect to r.\nAnswer: 1355","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2689 times -0.404\nAnswer: -1086.356","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 3487871 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(500) + sqrt(500)*-5) + 1)*5.\nAnswer: -800*sqrt(5) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 - 9 + 15 = -47*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 412712224 to the nearest integer?\nAnswer: 20315","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 17137?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 225783584 divided by 7055737?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 186*t**2. Let w(o) = 7*o**2 + 5. Determine w(j(b)).\nAnswer: 242172*b**4 + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -4*c**2 - 499*c - 618. What is p(-124)?\nAnswer: -246","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-10*h - 30 + 30)*(-11 - 4*h + 4 + 6) - h + h - h**2 + (-5*h + 2*h + 2*h)*(-h + 4*h - 2*h) in the form y*h**2 + m + j*h and give y.\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -1 + 5*i + 0 + 0 + 2. Let p be m(2). Let u(r) = -4*r + 42 + 50 - 78 + 3*r. What is u(p)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 84565351 - 84565351 - 13*s**2 - 2*s**2.\nAnswer: -15*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1 - 3)*21\/14. Let x(c) = -17*c - 2. What are the prime factors of x(b)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13161 a multiple of 68?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s**2 + 10*s. Let n(w) = w**2 + 11*w. Let o(j) = 4*n(j) - 5*v(j). Calculate o(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 5 + 5 + 10)*(-97*q + 177*q + 371*q).\nAnswer: 6765*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 30 + 14*t**3 - 35 + 34 wrt t.\nAnswer: 42*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3389133 is divided by 70.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + j - 45 = -6, -b + j = 15. Let o be ((-82)\/(-4))\/((-1)\/b). Suppose -o = 18*u - 24*u. List the prime factors of u.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 8 (b) -6 (c) -10\/9 (d) -4\/3 (e) 0.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k = k - 12. Let d(l) = l**2 - 12*l + 2. Let f be d(k). What is the greatest common factor of f and 16?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 253169299 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 4*f - 2 = 0, -5 = -3*a + f - 1. Suppose -3*b + 3*r = 81, -a*b + 5*r - 35 = 10. Let l = b - -69. What is the remainder when l is divided by 20?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40499344 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f + 0*a = 9*a - 6*a + 30, 23 = 73*f - 5*a + 285 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 391*m - 75*m - 89 + 501*m + 89 as o + j*m and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11858 = p + 11848 for p.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 s when two letters picked without replacement from fyyfhszi?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 16 and 22.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 154?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve b**4\/2 - 29249*b**3 + 14619491*b**2\/2 + 14736491*b = 0 for b.\nAnswer: -2, 0, 253, 58247","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the second derivative of -c**5\/20 + 11*c**4\/12 + 8*c**2 + 49*c. Let f be a(11). Which is smaller: f or 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3.758 * 0.2.\nAnswer: 0.7516","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Total of 2.6706 and 252755.\nAnswer: 252757.6706","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*q**4\/4 + 1905*q**3 + 404199*q**2\/4 + 99144*q = 0. What is q?\nAnswer: -51, -1, 0, 2592","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.37 in -5, -3, 1, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x = -447 + 347 for x.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 477 - -1a6?\nAnswer: 62d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.3, -1202, 323?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 27*l**3 - 5*l**4 - 27*l**3 + (-2 - 1 + 4)*(-l**4 + 5*l**4 - 3*l**4) + 0*l**4 - 7*l**4 + l**4 as i*l**3 + t + p*l**2 + s*l**4 + o*l and give s.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.1 and 0.10591757?\nAnswer: 0.20591757","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 124 - 124. Which is the closest to -0.1? (a) -0.4 (b) i (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -86662, -173267, -259872?\n\"Answer: -86605*y - 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*k + k + k + (4 - 3 - 5)*(-80*k + 7*k - 33*k) to f*k + c and give f.\nAnswer: 423","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2 + -100223?\nAnswer: -100221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2.6 - -19823.\nAnswer: 19820.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = -4*v + 96, 13*v - 9*v = -r + 96. Suppose -337 = -4*w - c, 3*c + c = -2*w + 172. What is the greatest common factor of w and v?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19081737 to the power of 1\/2, to the nearest integer?\nAnswer: 4368","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 74 + -2 + (0 - -4). Let s = b - 41. List the prime factors of s.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3302301 (base 5) to base 3\nAnswer: -2212121102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 296291 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a second in milliseconds?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40*f**2 - 14*f**2 - 27*f**2.\nAnswer: -f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6.03 - 0.03. Let v = -5 + g. Let t be (-23)\/(-56) + (-4)\/14. Which is the third smallest value? (a) t (b) 2 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 9*r + 67. Let q be w(-7). Solve 0*p - 5*h + 41 = -q*p, p + 9 = h for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.010862 to four dps.\nAnswer: -0.0109","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*h - 3*h**2 + 3*h + 0*h.\nAnswer: -3*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mc when two letters picked without replacement from {c: 1, d: 1, h: 2, m: 3, x: 1, l: 3}.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g - 7. Suppose -2*j - 5*r - 10 = 0, 4*j - 2*j = 3*r + 6. What is a(j)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -115*u**2 - 58*u**2 + 165*u**2.\nAnswer: -8*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 3371, -2067, -11139, -23851, -40209, -60219, -83887, -111219?\n\"Answer: -n**3 - 1811*n**2 + 2*n + 5181","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a litre in millilitres?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v**2 - 7*v + 3. Let n be u(-7). Calculate the smallest common multiple of n\/((-45)\/(-12) - 3) and 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(3\/10)*y\/(y**(-5)*y))**(-39) assuming y is positive.\nAnswer: y**(-2067\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 20, 83, 198, 371, 608?\n\"Answer: w**3 + 20*w**2 - 4*w + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -480 and 42.2.\nAnswer: -20256","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1738570062?\nAnswer: 2, 3, 163, 877, 2027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -288478*x + 9808217. Calculate r(34).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -80*q**3 + 1238*q**3 - 65*q**3.\nAnswer: 1093*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**2\/6 + 8*r.\nAnswer: r*(r + 48)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 4*(4\/1*(-10)\/4 + 12876\/1276)\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -67\/306375 and -41\/4275?\nAnswer: 919125","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5 + 5.4. Let t = -0.8 + q. Let l be -2 - (1\/(-2))\/(-1). What is the nearest to 0.1 in t, l, 4?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2003400442 (base 5) to base 8\nAnswer: -17101463","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-8 + (4 - 1))\/(-1). Let a(z) = s*z + 60 - 2 - 30. Let h be a(-5). Solve -6 = -3*i - n, -2*i + 1 = -3*n - h for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 5*g**2 + g. Let c be z(1). Let m(n) = n**3 - 5*n**2 - 7*n - 2. Let a be m(c). What is the tens digit of -2*(-1 - 0) - a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 390*c + 3266 = 385*c, -5*c + 2467 = -3*p. Which is smaller: -815 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10768942 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 21607?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11 + 633*n**2 - 9*n - 27 - 630*n**2 + 16.\nAnswer: 3*n**2 - 9*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 624 and 2184.\nAnswer: 4368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -p**2 - 106*p. Let m(w) = -57*w - 21. Let y(c) = 11*c + 4. Let l(d) = -4*m(d) - 21*y(d). Determine l(o(a)).\nAnswer: 3*a**2 + 318*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 2, g: 1, m: 1, q: 1}. Give prob of picking 2 q.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3 + -3a?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3228 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2281?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that -b**3\/8 - 9347*b**2\/4 - 87329009*b\/8 + 87403801\/2 = 0.\nAnswer: -9349, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = 4*o + 6*u - u, 3*u = o + 17. Let p be o\/9 - (-235)\/45. What is the second derivative of 3*z - 4*z**p + z + 9*z**5 wrt z?\nAnswer: 100*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the third derivative of v**4\/12 - 31*v**3\/6 - 31*v**2. Let g be n(19). Let t = -1 + 1. Solve t = 5*c - 22 + g for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(84)*4 + (sqrt(252) + sqrt(252)*-1 + sqrt(252))\/sqrt(12))\/(sqrt(108) - 5*(sqrt(108) - (sqrt(108)*3 - sqrt(108)))) + 3.\nAnswer: sqrt(7)\/4 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2268*x = 2488*x - 3960 for x.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15665.\nAnswer: 5, 13, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*f + 3*f - 5*f + 2*f - 3*f + 3*f + 4 - 2*f - 4 + (-f - 3*f + 3*f)*(-2 + 1 + 2) - f - f + f)*(1 - 1 - 1 - f).\nAnswer: 4*f**2 + 4*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n - 3 = -4*i + 3, 3*i - 2 = 2*n for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c**3 - 8*c**2 + 13*c + 13. Let d be f(-10). Let t = d - 75. Calculate the least common multiple of t and 22.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 5, j: 4, z: 3, d: 4, t: 1, o: 1}. What is prob of picking 1 d and 1 t?\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 10*r**2. Let f(p) = -5519*p. Give o(f(z)).\nAnswer: 304593610*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4363453 is divided by 245.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.000744331 + -29.000744791. Let b = w - -28. Round b to 7 decimal places.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - -10) + (-3 + (13 - 9) - 37).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -3*x**2 + 23*x - 12. Let m be i(7). Solve m*y + 8 = 10 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 11*y**2 - 8*y + 19. Let g(j) = -5*j**2 + 3*j - 9. Let f(a) = 9*g(a) + 4*x(a). Let k(i) = 1. What is -f(t) - 5*k(t)?\nAnswer: t**2 + 5*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:13 AM and 5:28 AM?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 178156 is divided by 17813?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u + 120 = 5*x + 161, -7 = -x + 3*u for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 156 and 18363.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the third derivative of -m**7\/11340 - m**6\/1080 - m**5\/270 + 7*m**4\/24 + 10*m**2. Let i(f) be the second derivative of s(f). Factor i(h).\nAnswer: -2*(h + 1)*(h + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.467 - 3.571. Let b = k - -0.104. Is b greater than 98?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2.5 - -0.5. Let s(r) = r**2 + 26*r - 53. Let p be s(-28). Let u = 4.6 - -0.4. Which is the third biggest value? (a) u (b) p (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 6 = 4*u + 3*q, -2*u - q = -13. Suppose -2*f - 5*n + 91 = 0, u*f = 2*f - 4*n + 86. Is 11 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:51 PM and 12:06 AM?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 408 minutes before 8:42 AM?\nAnswer: 1:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*a**2 + 2*a - 2*a)*(-3 + 114853*a**2 - 2 - 114856*a**2) in the form d + v*a**3 + i*a**4 + f*a + q*a**2 and give i.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m**3 - 5*m**2 - 4*m. Let x(y) = -9*y + 14. Let d be x(6). Let h = -43 - d. Give l(h).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-9)\/((-45)\/2) - 2826\/(-10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 108 and 972?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.08716005 rounded to 2 decimal places?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w**2 + 12*w + 15. Let n be g(-11). Is (635 - n) + (0 - 0) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6709 - 6708. Which is the closest to -4\/21? (a) r (b) -2 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 73994\/11 or 6726?\nAnswer: 6726","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(((sqrt(12) + sqrt(3))*-2 - (sqrt(75) - (sqrt(75) + -1))) + 4)**2.\nAnswer: -180*sqrt(3) + 585","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3137\/240 + -207\/16. Let b(t) be the first derivative of 4\/45*t**3 - p*t + 1\/45*t**6 + 5 + 1\/15*t**2 - 2\/75*t**5 - 1\/15*t**4. Factor b(s).\nAnswer: 2*(s - 1)**3*(s + 1)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10000111000101100000011000 + -1101?\nAnswer: 10000111000101100000001011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000822381 rounded to 5 decimal places?\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -239.71 - -3.71. Let x = s - -225. Which is the nearest to 1? (a) -2 (b) 5 (c) x (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*x**3 + 18*x**4 + 6*x**3 + x**4 - x**4 + x**4 + (2*x + 1 - 1)*(0 + 0 - 3*x**3) + 2*x**4 - 4*x**3 + 4*x**3 + 9*x**4 - 8*x**4 - 3*x**4.\nAnswer: 13*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -8*z + 1. Let c(r) = -235*r + 20. Let s(j) = -c(j) + 30*u(j). Let m(o) = o - 1. What is -10*m(v) - s(v)?\nAnswer: -5*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 532 and 39354966?\nAnswer: 78709932","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b + 3247 = 5*j + 3*b, -2*j + 2*b = -1302. List the prime factors of j.\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21 + 0 + 7 - (-6 - (12 - 0)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -99.29 - 1.71. Let z = -15874.79753 + 15773.798. Let l = z - f. What is l rounded to four decimal places?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 90153b7 + 3?\nAnswer: 90153ba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2103322 (base 4) to base 10.\nAnswer: -9466","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -c**3 - 10*c**2 + 9*c**2 + 7*c + c**2 to x*c**2 + d*c + p*c**3 + b and give d.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 49*n**2 - n. Let u(j) = 97*j**2 - 3*j - 1. What is 5*p(o) - 2*u(o)?\nAnswer: 51*o**2 + o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q - 1605 + 1596 = 0 for q.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*l**4 - 45450*l**3 + 272811*l**2 + 45450*l - 272808 = 0. Calculate l.\nAnswer: -15156, -1, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -49272, -49573, -49876, -50181, -50488?\nAnswer: -50797","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) -11 (b) -1 (c) 278 (d) -95\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 7, g: 4, s: 6}. What is prob of picking 2 g?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (r + r - r + (-3 - 1 + 5)*(-6 + 6 + 3*r) + 0*r - r - r)*(8 - 6 - 6).\nAnswer: -8*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1.6, -1.3, 1?\nAnswer: -1.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in -266\/9, -18, 0.2, -7, 0, 13\/4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 4*-0.301103\nAnswer: -1.204412","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(((i*i**(2\/3)\/i)\/i)\/i))\/i**12)**(-39) assuming i is positive.\nAnswer: i**377","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 1734*x**2. Let z(n) = -2*n - 9. What is u(z(m))?\nAnswer: 6936*m**2 + 62424*m + 140454","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -144422243 (base 5) to base 8.\nAnswer: -2762662","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 258 and 60?\nAnswer: 2580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 84343, 168941, 253549, 338173, 422819, 507493, 592201?\n\"Answer: w**3 - w**2 + 84594*w - 251","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -18*o + 110 + 16. What is the nearest to 0.2 in -1\/7, o, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 104533030.\nAnswer: 2, 5, 7, 1493329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 8205 = -4*l, 2*l - 5*d + 3957 = -128. Is -8241\/4 bigger than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16425 divided by 1095?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.33 + -4.23. Let o = n - -4.3. Which is the closest to -3? (a) 0.2 (b) o (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b**4\/4 - 3*b**3\/2 + 15*b**2\/4 - 2*b = 0.\nAnswer: -8, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 3502*z**2 + 11*z - 14. Let k(d) = -1168*d**2 - 3*d + 4. Calculate -2*a(m) - 7*k(m).\nAnswer: 1172*m**2 - m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*n = 2*n + n. What are the prime factors of 0 + (n - 4) + 86?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*p**2 - 404*p**3 + 1 + 402*p**3 + 3*p**2 + 7*p as o*p**3 + w*p**2 + l*p + g and give l.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the second derivative of -p**5\/120 + p**4\/3 - 4*p**3 + 4*p + 3. Determine z, given that b(z) = 0.\nAnswer: 0, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000218672 to six dps.\nAnswer: -0.000022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4664 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 420 minutes after 11:08 AM?\nAnswer: 6:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g - v - 6 = 0, 78*g - 4*v = 80*g + 32 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 5 + 1 + sqrt(28) - ((sqrt(847) + 2)*-5 - -1*(sqrt(847) - (sqrt(847) + -2))))**2.\nAnswer: 1140*sqrt(7) + 22843","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 12821 - 230861\/18. Find the common denominator of y and (248\/132)\/((-12)\/(-9)).\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 124? (a) -0.91 (b) -12 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -20660*x - 4061. What is the ten thousands digit of r(-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in seven eighths of a day?\nAnswer: 75600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6762*o**2 - 20185*o**2 + 6746*o**2 + 6692*o**2.\nAnswer: 15*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9115145 by 8.\nAnswer: -9115145\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -174 and 0.014181.\nAnswer: -2.467494","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -3*w**2. Let g(x) = 27200215*x**2. Give g(j(l)).\nAnswer: 244801935*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = -2*t + 6, 0 = -3*l + 2*t - 138 + 132. Suppose 2\/7*c**2 + 0*c**3 - 2\/7*c**4 + 0*c + l = 0. What is c?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5, 1.6, -630?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 155 - 71403?\nAnswer: -7126a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - n - 1877 = -2*n, 5*o = 4*n + 2362. Suppose 4*y = -5*v + o, 112 = 3*v + 5*y - 183. What is the least common multiple of 10 and v?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.34 * -3.\nAnswer: 1.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*b*k*s**2 + 2*b*k*s - 34*b*k + 3*k*s**2 - 33*s wrt s?\nAnswer: -4*b*k + 6*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 166 = -18*y + 220. Solve y*i - 2*a - 10 = -2, -4*i - a = -18 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5829 and 273789.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by -1128982?\nAnswer: -2\/564491","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2 + 1*(0 - -3 - 0). Find the second derivative of -3*h**4 + q*h + 2*h - 16*h wrt h.\nAnswer: -36*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-1*(4 + -2 + sqrt(72)) + -5).\nAnswer: 21 + 18*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.016 and 322.23.\nAnswer: 5.15568","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9 + -42. Let n = z + 33.96. Let b = 0.04 + n. Which is smaller: -0.1 or b?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 2*z = -6. Suppose 2*a + z = -3*v - 1, -2*a + 37 = -5*v. Solve -a*w + 3*w = 15 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 12\/(-5) - (-8)\/20. Suppose 14 = 2*v + 44. Let w be 3\/(-30)*v\/(-12). Which is the closest to m? (a) w (b) -5 (c) 5\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (28*p**2 + 219 - 218 + 7*p**2)*(p**2 - p**2 - 2*p**2) as l*p**3 + m + a*p**2 + c*p + w*p**4 and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r**3 + 17*r**2 - 9*r + 23. Let l be k(11). Let s be 3 + 52 - (11 - 6). What is the greatest common divisor of l and s?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -9 or -98898\/10217?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 11 + -5. Let z = 32 + -21. Let v(h) = 7*h**2 - h + 1. Let f(l) = -13*l**2 + 2*l - 2. Give q*f(p) + z*v(p).\nAnswer: -p**2 + p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1 - 38476582641\/600)*(-28)\/(-22). Let v = 81616986 + g. Let i = v - -1\/275. Which is smaller: i or -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u**3 - 5*u**2 + 1. What is the remainder when k(7) is divided by 42?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t**2 + 2*t - 3. Let j be b(3). Let c be (2 + (-20)\/15)\/(j\/(-27)). Solve -v = c*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -75152 - -293078161\nAnswer: 293003009","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q - v - 1269, -11*q + 9*q = 5*v - 2524. What is the hundreds digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w - 2*w = 4*w, 5*w = 2*r + 2*w - 6 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 34, -2, -5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w**(-1))**(4\/13))**(6\/7)*(w**(-4)\/(w\/((w**(-3\/8)\/w)\/w)))**5 assuming w is positive.\nAnswer: w**(-295\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in fourty-eight fifths of a week?\nAnswer: 96768","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n**4\/3 + 334636*n**3 - 334632*n**2 - 2007808*n\/3 = 0. Calculate n.\nAnswer: -1, 0, 2, 250976","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 105 + -98. Calculate the least common multiple of (54 - 49) + 2*3 and v.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 1934 = 4*z, 0 = -3*a + 29*z - 24*z + 5853. What is the thousands digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o**4 + 2*o**3 - 2*o**3)*(5*o - 3*o + 0*o) + (-2 + 2*o**2 + 2)*(-2*o**3 + o**3 - o**3).\nAnswer: -6*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3794891221.00000034 - 3794891189. Let s = -21.07 + 53.07. Let u = s - f. What is u rounded to 7 decimal places?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 201 = -3*f, -5*f - r + 61 = -251. Let c = -24 + f. Does 12 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 90\/(-20) + (-121)\/(-11) + -6.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14*h**2 + 19 - 21 + 0*h**3 - 2*h**3)*(h + 2 - 2) + (-4*h**4 + 6*h**4 - 4*h**4)*(4 + 3 - 3).\nAnswer: -10*h**4 + 14*h**3 - 2*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -3*d**2. Let r be 1\/(1 + 5\/(-10)). Let o(v) = -3*v + 6*v**r - 3*v + 6*v. Give o(s(x)).\nAnswer: 54*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3 (b) 2\/61 (c) 201\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 14) to base 13.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 13*k**2 - 3*k - 2. Let d be c(-1). Suppose -27*a + 34*a = -d. What is the closest to 0.04 in 1\/4, a, 2?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -7318, -7316, -7314, -7312, -7310, -7308?\n\"Answer: 2*z - 7320","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 79, -5, 348, 6, -22 in ascending order.\nAnswer: -22, -5, 6, 79, 348","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - (0 + 3)) + (0 - -1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwwwwwlwwwwwwwwwlw. Give prob of sequence lww.\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 8486 = -2*u + 432, -4*t = 4*u - 8920. What is the thousands digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 6663908538?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z**2 + z - 1. Let g(u) = -u**3 + 3*u**2 - 2*u + 7. Let a(y) = -g(y) - 2*r(y). Give a(0).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the first derivative of -13\/4*w**4 + 3 - 5*w + 0*w**3 + 0*w**2. What is the first derivative of g(q) wrt q?\nAnswer: -39*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 129 is divided by 15?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -34 - -36. Suppose 0 = -q*b - 4*b. Suppose -6 = -c + 4*c - 3*n, 5*c + 4*n = -37. Sort -2, b, c in descending order.\nAnswer: b, -2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -5 (b) -2 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1343?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 724*w - 723*w = u + 13, -5*u = 55 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (91*r - 71*r - 283*r)*(0 + 2*r**4 + 0) + 2*r**5 - 4*r + 4*r + (5*r**2 - 5*r**2 - 2*r**3)*(-2*r**2 - r + r) - 4*r**5 - 3*r**5 + 3*r**5 - 2*r + r**5 + 2*r.\nAnswer: -523*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - 2) + (0 - -10).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/3 of a decade in months?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6\/7? (a) -0.02859 (b) 0.12 (c) 0.5 (d) 3 (e) -0.1 (f) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -74 (b) 5 (c) -4.8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 487867 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) -1\/7 (b) -172 (c) -0.2 (d) -5 (e) -1 (f) -2\/5 (g) -1636.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 18645 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1\/3)\/((-8)\/1416). Let s = a - -29. Let q be 50\/(-30)*2\/s. Is 1 < q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (sqrt(3969) - 1*sqrt(3969) - (sqrt(7056) + sqrt(7056)*-2))\/(sqrt(84)\/(sqrt(12) - sqrt(300)*4)))**2.\nAnswer: -1368*sqrt(7) + 363897","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18197 is divided by 45.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/20)\/((-3)\/54*18)?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m**5 + 123456*m**4 + 48*m**3 - 1481536*m**2 + 1975296*m = 0 for m.\nAnswer: -4, 0, 2, 30864","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pppsppsp. Give prob of picking 1 s and 1 p.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*b - 5*b - 7*b)*(5*b - 5*b + 3*b**3) + 0 - 4*b**4 + 0 + 4*b - 4*b + b**4 + (b**3 - 2*b**3 + 3*b**3)*(-2 + b + 2) + (b**3 + 1 - 1)*(4*b - 3*b - 3*b).\nAnswer: -51*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + 3 + 3 + 21 + -25?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8034?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = -3*w + 428. Let q be (-10)\/35 + w\/(-14). Solve 0 = -3*y - 0 + q for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1051 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p + 8. Let s be o(0). Let r(q) = 0 + 10*q**2 - s*q**2 + 0. Let y(t) be the second derivative of t**3\/3 + 2*t. Give y(r(v)).\nAnswer: 4*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 71307499 and 8471.\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 55716 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -65930 + 65930 + 2132*n**2 - 2155*n**2.\nAnswer: -23*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101101 - -101000101011011000?\nAnswer: 101000101100000101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -59*y**2 - 2*y - 4. Calculate n(1).\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 392 - 197 = -15*l. Let h(n) = 0*n**2 + 2 + 12*n + 2*n**2 + 10. Is h(l) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-60)\/8)\/15)\/(5\/(-14)).\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1 + -6624?\nAnswer: -6625","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z*z**(2\/3)*z*z)\/z)**(7\/6)*(z\/(z**(-7)\/z))**11)**(-38\/7) assuming z is positive.\nAnswer: z**(-34922\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 40 and 12360.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -0.29, 0.3, 0.4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.00828 - -0.08172. Which is the biggest value? (a) s (b) 0.2 (c) -4 (d) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-3)\/(-77))\/((-2160)\/(-756)). Is d less than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(1331)*1)**2 + sqrt(1331).\nAnswer: -55*sqrt(11) + 1340","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + sqrt(162)*2 + (-1*sqrt(2)*-3*2)**2 + 4.\nAnswer: 18*sqrt(2) + 72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 194890 is divided by 254.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7899\/8 - 7751\/8. Let z(t) be the second derivative of 14\/15*t**6 + 0*t**4 + 0*t**3 + 0 + 11*t + 0*t**5 + v*t**2. Differentiate z(y) with respect to y.\nAnswer: 112*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - x = -0*w - 11, 5*w = x - 15. Let l = w - -11\/3. Which is the second biggest value? (a) 1\/3 (b) l (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the second derivative of 1\/12*i**3 + 0 - 50*i - 3\/16*i**4 + 0*i**2. Solve c(h) = 0 for h.\nAnswer: 0, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:18 PM and 4:04 AM?\nAnswer: 286","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -85\/522 and (16\/(-24))\/(588\/(-413))?\nAnswer: 3654","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 2*q**3 + 32*q**2 - 33*q + 22. Let z be -16 + (-6 - -10*(-5)\/(-10)). Let r be a(z). Solve 4*o = 2*t - 22, -2 = -r*t + 3*t for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -233747 or -233748?\nAnswer: -233748","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000038942 to 6 decimal places.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-380)\/(-1995))\/((-2)\/3).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -h**2 - 3*h + 1. Let r(k) = k**2. Calculate p(y) + 2*r(y).\nAnswer: y**2 - 3*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1806 a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -42941*z**3 - 938556*z + 938556*z.\nAnswer: -42941*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-15)\/65)\/((-24)\/16*-14*(-100)\/6825).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 24*s**3 + 8*s**2 - 175*s. Let g(b) = -8*b**3 - 3*b**2 + 59*b. Determine -8*g(n) - 3*x(n).\nAnswer: -8*n**3 + 53*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6 + -3. Solve 2*k - g*j = 6 + 4, -5*k = 5*j for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-21 - 19 - 27 + 8)*(-2 + 2 - 2*u + (-18 + 0 + 3)*(0*u - 3*u + 4*u) - 4*u + 0*u - u).\nAnswer: 1298*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 3 + 4)*(16 - 24 - 19)*(-k + k + 15*k).\nAnswer: -405*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w**3 + 8*w**2 - 2*w + 10. Suppose 64*a + 40 = 69*a. Calculate s(a).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*r + 7329 = 12*r - 3763. What is the remainder when r is divided by 112?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 520 and 25870.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c**2 + 30*c + 226. Calculate r(-17).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 110*g**4 + 506 + 508 + 0*g + 0*g - g**2 - 1012 to the form u + p*g + z*g**2 + k*g**4 + w*g**3 and give k.\nAnswer: 110","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -34 - -107. Let x = a + -66. Suppose x*u - 3180 = -13*u. What is the tens digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 12, 3425, 5, -2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -146 < -9446\/65?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 1832*w + 3663*w - 4 - 1835*w.\nAnswer: -4*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 496463 + 5?\nAnswer: 496468","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 198\/1023*217 + -57?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*r - r**2 + 4*r + (2*r - 4*r + 3*r)*(-r + 7*r + 2*r) + 5*r**2 + 5*r**2 - 6*r**2.\nAnswer: 11*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1b (base 12) in base 9?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -130, 1, 5, 3 in increasing order.\nAnswer: -130, 1, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (14 + -11)*(5 - (-17)\/(-3)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -40, -53, -72, -97?\n\"Answer: -3*o**2 - 4*o - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-1\/6))**28*(a*a*a**(-3)*a)\/a*a*a\/(a**5\/a)*a assuming a is positive.\nAnswer: a**(-20\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n\/(n\/(n**(-3)\/n))*n))\/(n\/(n*n\/(n\/(n\/n**(-2\/61)*n))*n))*(n\/(n*n*n*n\/(n*n\/(n**7\/n*n*n))*n))\/n**(-1\/13) assuming n is positive.\nAnswer: n**(-2292\/793)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3494 - 3491.811. Let k = o - 1.7998. Let z = -0.38 + k. Round z to 3 decimal places.\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the first derivative of n**8\/1260 + n**7\/420 - n**5\/180 + 23*n**3\/3 + 16. Let a(u) be the third derivative of h(u). Factor a(v).\nAnswer: 2*v*(v + 1)**2*(2*v - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1928*w = -426*w + 1173*w - 1976*w - 69454 for w.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-16*z - 5*z**2 + 16*z)*(1 - 3 + 3) + (1732 + 2174 + 1119 - 430 - 1110)*(2*z**2 + z**2 + 0*z**2) to the form y*z**2 + i + f*z and give y.\nAnswer: 10450","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 93312, 186624, 279938, 373254, 466572, 559892?\nAnswer: 653214","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tott when four letters picked without replacement from ttktttotto.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:54 AM and 11:33 AM?\nAnswer: 639","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*v + 1352 - 13021. What is the tens digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -a57a (base 12) to base 14.\nAnswer: -6846","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -2. Let n(h) = -h + 6. Let d(y) = -3*l(y) - n(y). Let r(j) = -20*j**2. Calculate d(r(z)).\nAnswer: -20*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -2854\/163 <= 40?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -28928 or -29134?\nAnswer: -28928","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z**2 - 5542*z + 27728. Calculate q(5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 171 + -101. Let o = z + -68. Which is the nearest to -3? (a) -2 (b) o (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3 + -31817?\nAnswer: -31814","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = 2*m - 4, 0 = 3*i - 5*i - 5*m + 10. Let s be (18\/4 + -4)*i. Let p be s\/3 - (-25 + 1). Calculate the greatest common divisor of 168 and p.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4)\/(-12) + 11\/3. Let w(o) = -o**2 + 6*o + 4. What is the tens digit of w(p)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12b74 (base 12) to base 14.\nAnswer: 95d6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 74*a*u**3 - 12*a*u - 5*a + u**5 wrt u?\nAnswer: 444*a*u + 20*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2103 is divided by 18?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 - 72 = -5*c. Let l be (126\/2175)\/(1\/c). Let v = -2\/29 + l. Is 1 not equal to v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31945 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 45119 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -2*l**3 - 147*l**2 + 13*l - 550. Let i be r(-74). What is the greatest common factor of 4 and i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.3 + -0.6. Let w = 30 + -208\/7. Let h = 26.8315 - 22.8315. What is the nearest to w in 0, q, h?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q**2 + 6*q - 14. Suppose -30 = -4*i - 6. Let z be k(i). Let c = -14 - z. Are -1 and c unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t**3 + 71*t**2 - 50*t + 3682. What is h(-72)?\nAnswer: 2098","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1*(-4 + (7 - 1)). Let g = r - -9. Suppose 522 = g*q - 17. List the prime factors of q.\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 672670, 1345336, 2018002?\n\"Answer: 672666*a + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1901990 is divided by 475462?\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -50 + 139. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.2 and -18104397?\nAnswer: 18104397.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that -20*o + 68*o**2 - 70*o**2 + 54*o = 0.\nAnswer: 0, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 947799 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1 - 0. Let j be (139 + -159 + (-1 - -32))*(-40)\/2. Do x and j have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 4}. What is prob of picking 2 b?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = 3*z + 55, 2*z = 4*s + 5*z - 44. Suppose -3*j - s = 1. Calculate the common denominator of -35\/9 and (-6)\/j - (-14)\/4.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*w + 26*w + 287 = 0 for w.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -31\/13824063 and 29\/98043?\nAnswer: 13824063","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 times -0.16?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -71\/96 and 85\/8.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -19 - -3?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in five quarters of a week?\nAnswer: 12600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -207*b**2 - 2*b + 3. Let y be m(1). Let d be (-2 + 6)*y\/(-2). Let s = d + 339. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4 and 3474.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = -4*c - 28, -3*c + 0*c + 4*y = -10. Let w(o) be the third derivative of -5*o**4\/24 - o**3\/6 + 71*o**2. Determine w(c).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 5*y = -2 - 17, 4*y + 22 = 3*r. What are the prime factors of ((-10)\/r)\/(8\/(-120))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -441547\/33 - -13379. Let i = -260\/127771523 - -21034655443081\/6352289037468. Let n = 8\/1381 - i. Calculate the common denominator of n and p.\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the third derivative of p**5\/450 + 599*p**4\/90 + 358801*p**3\/45 - p**2 - 858. Solve j(m) = 0.\nAnswer: -599","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -57 + 64. Solve -4*l - 3 = 4*d + 9, d = -5*l - o for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -17*y - 7. Is p(-6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/(-16)*6)\/((-9)\/(9\/2))?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x - 7. Let t be n(5). Let c be ((-6)\/(-4))\/(195\/(-2600)). Let i = t - c. Calculate the remainder when 35 is divided by i.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -2, -4, 3, -17, 49 in decreasing order.\nAnswer: 49, 3, 1, -2, -4, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**3 - 5877*m**2 + 8142243*m + 1467412121.\nAnswer: (m - 3019)**2*(m + 161)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 89\/7124240 and -121\/340080.\nAnswer: 277845360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1606408?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*z + 28 - 13 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o**3 - 12*o**2 - 732*o - 3379. Give v(-5).\nAnswer: 106","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*l + 11*l = -10. Let m be ((-112)\/(-20))\/((-1)\/l). Suppose d - 7 = m. List the prime factors of d.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by -688975.\nAnswer: -3\/688975","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m\/m**(-29))\/(m**(2\/21)\/m))**45 assuming m is positive.\nAnswer: m**(10050\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1a7 + -3?\nAnswer: -1aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3 + -58?\nAnswer: -5b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.16? (a) -8 (b) -2\/7 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express ((2 + 2 - 6)*(-199*i - 280 + 122 + 153) - 2 + 2 - i)*(11 + 6*i - 11) as l*i + x + y*i**2 and give y.\nAnswer: 2382","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -20*s**3 + 6*s**2 - 6*s - 6. Let d(k) = 119*k**3 - 35*k**2 + 35*k + 35. Suppose -26*j - 114 = -270. Determine j*d(y) + 35*a(y).\nAnswer: 14*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 88, 3, -9, -4 in increasing order.\nAnswer: -9, -4, 3, 88","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 5821778801 to the power of 1\/8, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 177990330?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x - 13 = 2*q, -382*x + 6*q = -383*x + 1 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -12*n*s*w**2 - 9*n*s*w - 78*n*s - 44*n*w**2 - 7*s*w**2 + 7*w wrt w.\nAnswer: -24*n*s - 88*n - 14*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -203, -204, -205?\nAnswer: -206","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.1 or 289?\nAnswer: 289","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 10518481*w**5 + 2*w**3 + 68278096*w.\nAnswer: 210369620*w**3 + 12*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by 3555.\nAnswer: -1\/1185","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 0*y = 0. Solve y = -3*t - 3*o - 12, -2*o = 2*t + 3*t + 11 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from msemmemsesemms. Give prob of picking 2 e.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 16669 = 2*l + 1686, 0 = 5*l - 5*b - 37455. What is the thousands digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(27) + sqrt(243)\/sqrt(9))\/sqrt(9) + sqrt(3) + -2*sqrt(3) + 2)**2.\nAnswer: 4*sqrt(3) + 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*h**3 + 21*h**2 - h**4 + 17 - 22*h**2 - 15 - 2*h as r + b*h**3 + t*h + i*h**2 + p*h**4 and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -190, -1340, -4408, -10354, -20138, -34720, -55060, -82118?\nAnswer: -116854","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2225969 to the nearest integer?\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 250436937?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -8*s**2 - 2*s + 2. Suppose 21*t + 168 = 35*t. Suppose -103*j = -107*j + t, w = j - 5. Let p(c) = -c**2 - c + 1. Give w*p(g) + b(g).\nAnswer: -6*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 20 and 15000?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 577125 is divided by 67?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 4*w + 13. Let v(l) = 16*l + 52. Let i(p) = -9*h(p) + 2*v(p). Suppose 0 = 6*k - 3*k + 36. Does 7 divide i(k)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j - 5. Let g(r) = r. Let o(q) = 6*g(q) + z(q). Let i be o(-5). Let a be i\/14 + (1 - -2). Which is smaller: a or 1\/5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 + 2*w**3 + 2*w**3 - w**3 + w + 3*w**4 + 2 to the form t + q*w**2 + u*w**3 + a*w + z*w**4 and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*a - 271 = 4*v, -9 = 4*a - 4*v - 64 - 29 for a.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -1641*z - 1681. Give u(-1).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and -1\/258029 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -76349 - -1?\nAnswer: -76348","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/(l*l**2*l*l))\/l)**(-50)*l**5*l*(l\/(l\/(l*l**15\/l*l)*l))\/l assuming l is positive.\nAnswer: l**270","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -p**3 + 8*p**2 + 13*p - 20. Let y be o(9). Suppose y*m = 15*m + 198. What are the prime factors of m?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4632 by -4.\nAnswer: 1158","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -394593.29 rounded to the nearest 10000?\nAnswer: -390000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + -3*sqrt(1584) + -3)**2 - (5 + (sqrt(11) + -2 + 0 - (sqrt(1584)*1)**2)).\nAnswer: 575*sqrt(11) + 15901","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 599 minutes after 3:13 PM?\nAnswer: 1:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.03? (a) -1 (b) -9\/4 (c) 8 (d) -659\/4 (e) -0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10 + 2 + 9)*(18 - 4 - 1)*(0*q + 2*q - 6*q)*(-3*q + 0*q + 4*q).\nAnswer: -52*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*w**2 + 1 + 0*w**2 - 3*w**2 + 3*w**2 - 2*w**3 to the form u*w**3 + n + l*w + m*w**2 and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 - 8 + 6*b**2.\nAnswer: 6*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2 + -3. Let r = -85 + 87. Let n be (-4)\/r - (-32)\/15. Which is the third smallest value? (a) 8 (b) n (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 19*z + 259. Let w be i(-13). Let t be 10\/3*18\/4. Let m = t - w. Which is bigger: m or 2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.22*5369.\nAnswer: 1181.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*k**5 - 48*k**4 + 44*k**3 = 0. Calculate k.\nAnswer: 0, 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2, 20\/11, 0.7, -1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in eleven eighths of a tonne?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -12\/10979?\nAnswer: -12\/10979","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*y**6 + 22*y**4 + 103151*y**3 - 70*y**2 + 12*y - 1963 wrt y.\nAnswer: 240*y**3 + 528*y + 618906","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.52 - -0.92. Which is the nearest to -2? (a) 5 (b) -4\/5 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = 416 + 679. Sort 1, 2, u in increasing order.\nAnswer: 1, 2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 7\/2 of a meter?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 2650*w + 100. Let r be m(6). What is r rounded to the nearest 10000?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 5134005.45 minutes?\nAnswer: 509.3259375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*g**4 - 150*g**2 + 11*g + 40.\nAnswer: 36*g**2 - 300","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = -l - 7, -4*o + l + 12 = -3*l. Let w be o + (-5 - -2)\/(-3). Is (-1)\/(w\/117) - -2 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 3*g - 34 = 0, -g + 49 = 4*n + 19. Suppose -n*x + 7209 = -13910. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 10134 (b) -5 (c) 119 (d) 0.3 (e) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + (-14 - -4) + (-12 - -32).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.06 + 415.\nAnswer: 415.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -3038418 to the nearest 1000.\nAnswer: -3038000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(0 + (sqrt(448) - (sqrt(448) - (sqrt(448) - (-4 + sqrt(448)*1))))**2 + ((sqrt(70) - (sqrt(70) + sqrt(70)*1))*3)\/(-1*sqrt(1440))).\nAnswer: 3*sqrt(7)\/4 + 48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1323) + (sqrt(1323) - (sqrt(1323)*2 + sqrt(1323))) - -2*sqrt(108))\/((sqrt(144) + 3*sqrt(144))*3 - sqrt(144) - sqrt(144)) + -4.\nAnswer: -4 - 3*sqrt(3)\/40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 656 + 80aa0?\nAnswer: 81646","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 36909, 73819, 110729, 147639?\nAnswer: 184549","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-340)\/(-45) - 48\/(-108)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 1001 divided by 2\nAnswer: 1001\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Total of 14.837 and -4.\nAnswer: 10.837","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 505 to the power of 1\/2, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 3\/217624 and -139\/144.\nAnswer: 3917232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 354*x**2 + 111*x - 834*x + 2*x**3 - 136*x**2 - 1704*x wrt x?\nAnswer: 12*x + 436","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 greater than 9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3093*g**3 + 6181*g**3 - 3089*g**3.\nAnswer: -g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wt when two letters picked without replacement from welwwtwwvwtwwvevw?\nAnswer: 9\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 50*d**4 + 10 - 96*d**4 + 47*d**4 - 17*d**3 - 2 to the form z*d + b*d**4 + p*d**2 + t*d**3 + n and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 45 + -403\/9. Let p be (-2 - -11) + 1 + 2. Suppose 7*x - p*x = 0. What is the biggest value in x, 3, z?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -22307768 * 0.3.\nAnswer: -6692330.4","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 534, 350, -204, -1314, -3166, -5946?\n\"Answer: -31*f**3 + f**2 + 30*f + 534","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v + 3. Let p be f(-6). Let l be (p\/4)\/((-3)\/60). Suppose 4*s = -s + l. Solve 2*m + 3*a + a = 10, s*m - 15 = 2*a for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*h - 612 - 631 = 0. What is the units digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2608 + 2603. Let l(s) = 2*s + 1. Let w(i) = -4*i - 2. Give r*l(f) - 2*w(f).\nAnswer: -2*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-154)\/(-12) - (1 - -1) and 19\/(-8) + (-4 - (-4 + 1))?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5194, -5193, -5192, -5191?\nAnswer: -5190","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 445*c**2*j**2*z**3 - 2*c**2*j**2*z**2 + 2*c*j**2 - c*j*z**2 + 4*j**2*z**3 + 6*j**2*z**2 wrt c.\nAnswer: 890*j**2*z**3 - 4*j**2*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -b**2 + 18*b - 34. Let a be g(16). Find the common denominator of 5\/6 and (44\/8)\/(a\/(-14)*-2).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -2*i**2 - 59*i - 29. Calculate x(-30).\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43 + 17 + 14 + 12 + 53*x - 56*x.\nAnswer: -3*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 18\/(2 - -1)*1. Suppose y = o + o. What is the units digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8500 to the nearest integer?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 5 = -5*k, 5*j - 3*k - 6 = 22. Let c(b) = -b**3 + 4*b**2 - b + 1. Determine c(j).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -9 in -611, 4, -13\/3, 5?\nAnswer: -13\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1814 minus 0?\nAnswer: -1814","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3754*n - q = 3753*n - 5, 4*q + 17 + 4 = 13*q - 33 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 55 - 55.013. Let m = i + -1.587. What is m rounded to zero decimal places?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 + 0)*(-5*r + 3*r + 0*r) + 3*r - 2*r - 4*r.\nAnswer: -r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -46222403 - -46222332.00000156. Let l = -71 - t. Round l to 7 dps.\nAnswer: -0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 566 by 15.\nAnswer: 566\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + f**2 + 4 + (-2 + 0 - 1)*(2 - 2 - 2*f**2))*(-25 + 54*f - 24*f - 28*f).\nAnswer: 14*f**3 - 175*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 105065?\nAnswer: 5, 21013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 4*b + 8 = 0, -4*j - 2*b + 0*b = -10. Let a(w) = -804*w - 3*w**j + 804*w. Let p(x) = -18*x. Give p(a(l)).\nAnswer: 54*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 953.2157 millennia in centuries?\nAnswer: 9532.157","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:12 PM and 10:37 PM?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 21 - -184. Suppose 15*i + 25 = h. Find the second derivative of -13*v + 24*v**5 - i*v + 16*v wrt v.\nAnswer: 480*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y*y*y*y*y\/((y\/y**(-12\/5))\/y)*(y\/y**(-7))\/y*y**(-21\/5)*(y**25*y)\/y*y assuming y is positive.\nAnswer: y**(157\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1871513 + -3?\nAnswer: -1871516","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -109\/104 - -12\/13. Let i = -5 - -6. Let q = i + 1. What is the nearest to -1 in q, o, 0?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-100)\/(((-2)\/18)\/(8\/(-48))). Let l = q - -255. Does 15 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3\/(0 - 3\/4). Let l be 1*(1 - d) + 0. Suppose q = l*q - 120. Does 15 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1416b (base 12) in base 5?\nAnswer: 1343000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, 2\/11, -0.1 in decreasing order.\nAnswer: 2\/11, -0.1, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -5 + 260\/44 + 2\/22\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 737 + -485. Is i a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0 + (1 - 3) - -2. Let u be -2 + a + 1*5. Suppose -o = -3*v - 1, v = u*o - 3 - 0. What is the units digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 9 = s, -s - 40 = -5*s + 3*b. Let q(n) = s - 2*n - 7. Let i(a) be the third derivative of -a**5\/6 - 15*a**2 + 47. Determine q(i(o)).\nAnswer: 20*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 2*f - 10 = 0, 2*f = 2 + 8. Suppose -40 = 5*m + j*y, 2*y = 9*m - 4*m + 12. Let i(z) = 4*z**2 - 3*z + z**3 + 0*z**3 - 4 + 0*z**3. Calculate i(m).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 851\/5 + -4263\/25. Let q = t + 124\/75. Factor 1\/3*g**3 + 4\/3*g**2 + 0 + q*g.\nAnswer: g*(g + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/8*-3)\/(-93*(-28)\/604128)?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 + -8 - 0 - (3 - 0 - (139 + -75))?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 12) in base 8?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 43813 and 77?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/(-8) + -1 - (20 - (-14526)\/(-720))?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 137? (a) -1 (b) -0.77 (c) 18\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + l**2)*(-316*l + 316*l + 41*l**2) + l**4 + 4*l**4 - 3*l**4.\nAnswer: 43*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 622808 = 2*u, -67931 + 483127 = 2*c - u. Round c to the nearest 10000.\nAnswer: 210000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 6 - 3 + i - 17. Calculate q(0).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence borc when four letters picked without replacement from cgxbocor.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -7\/2, 2, -3\/4, 3\/4, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -60.6 - -62. Put -0.4, q, -4 in increasing order.\nAnswer: -4, -0.4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 66 and 506.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2565890 by 4.\nAnswer: 1282945\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 25 - 15. Let c be 2344\/k - 4\/10. Let y be 1\/1 - -27 - 2. What is the greatest common factor of y and c?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - f + 25 = 152, r + f = 23. Suppose 0 = 2*i - 2, 2*i = b + 2*b - r. Let s = 8 - b. Let z(y) = 4*y. Calculate z(s).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3\/((-26)\/(-20) - 6\/(-30)). Suppose 14*d = -m*d + 192. Solve -d = 3*g - 3*o, -3*o + 0 = 2*g - 12 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from uuuuduuuuuuuuuuuuu.\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1904188 and 121.\nAnswer: 20946068","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 7598631367 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (492\/(-861))\/((-44)\/14)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 574 divided by -4?\nAnswer: -287\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from btbllbbblsbs. Give prob of picking 1 s, 1 t, and 2 l.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -2, 1, -1 in decreasing order.\nAnswer: 1, -1, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 490536 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + ((-520)\/25)\/(-4)?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2 + 4)\/(-8)*-16. Suppose -m*x + 30 = -6. Calculate the remainder when 14 is divided by x.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*q**2*w**2 + 30468*q**2*w + q**2 + 53*w**2 + 24*w - 4 with respect to q.\nAnswer: -4*q*w**2 + 60936*q*w + 2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(104)*6)\/sqrt(2) + 6*3*(sqrt(13) + 0).\nAnswer: 30*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 79 divide 41494402?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1 (b) 8\/7 (c) 1\/4 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -4 - 9.8213\nAnswer: -13.8213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n**3 + 6*n**2 - 7*n - 2. Let m be y(4). Let 2\/7*q + 0 - 6\/7*q**m + 6\/7*q**3 - 2\/7*q**4 = 0. Calculate q.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -156 + 158. Find the third derivative of 124*m**k + 97*m - 126*m**4 - 49*m - 48*m wrt m.\nAnswer: -3024*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the second derivative of 13*m**6\/15 - 14*m**2 + 34*m + 2. Find the first derivative of k(h) wrt h.\nAnswer: 104*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*g = n + 20*g - 11763, -2*n = -g - 23562. List the prime factors of n.\nAnswer: 11779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 75.26462 nanoseconds to microseconds.\nAnswer: 0.07526462","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put together -5007 and -47.1.\nAnswer: -5054.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -43 - -92. Suppose q + 12 = p. Suppose a - 37 - q = 0. What are the prime factors of a?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -l**3 + 2*l**2 - 3*l + 3. Let y be s(2). Is (6*24)\/4 + y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -448671, -898763, -1348855?\nAnswer: -1798947","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 5 = 15. Suppose 2*d + 2*r - 12 + 0 = 0, -r - c = -3*d. Let x be (d - 2 - -10)\/1. Solve k - u - 2 + 0 = 0, -2*k + 5*u + x = 0 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**(2\/3))**(-2\/27)*(z\/(z\/((z*z**(1\/3))\/z)))**(-10\/19) assuming z is positive.\nAnswer: z**(-460\/1539)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -83 + (23 - (-4 + -21))?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -4*y + 1. Let h(l) be the second derivative of l**3\/3 - l. Calculate -2*f(z) - 5*h(z).\nAnswer: -2*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = 272 - 274, 10 = -2*r - 2*n. Let s(x) = x**2 - 9*x + 8. Let w be s(7). Let f = w + 4. Which is the nearest to r? (a) -4 (b) -3 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the second derivative of -m**4\/6 - 308*m + 1. Let h(j) = -4*j + 42. Determine h(f(l)).\nAnswer: 8*l**2 + 42","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -211 - -23631?\nAnswer: 23420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 6 = 2. Let i(s) = s**2 + h*s**2 - 2*s + 0*s**2 - 2. List the prime factors of i(2).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -5*w**3 - 41*w**2 - 28*w + 5. Let a be o(-9). What is the greatest common divisor of 14 and a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 43\/30 and -71\/150.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*n*s**3 + 5198*n*s**2 - 8*n*s - 7*n + 244*s**3 + 49*s**2 + s - 32 wrt n.\nAnswer: -2*s**3 + 5198*s**2 - 8*s - 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 3*c = 4*o - 22, -4*c + 12 = 0. Suppose -u = u - o. Suppose -2*r = u*n - 24, 3*n + r - 24 = 4*r. List the prime factors of n.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pjaj when four letters picked without replacement from jpaapjpa.\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 c when three letters picked without replacement from cfcfffcf.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1241?\nAnswer: 17, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f + 11. Let k be z(7). Let l(t) be the second derivative of 2*t**2 - 1\/3*t**4 + 0 - 3*t + 0*t**3 + 1\/20*t**5. Calculate l(k).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7039 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -1403*i + 184. Let v(r) be the third derivative of -23*r**4\/24 + r**3\/2 + 635*r**2. Determine 3*f(h) - 184*v(h).\nAnswer: 23*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 281.42 rounded to the nearest integer?\nAnswer: 281","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -485\/102633 at least -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -43\/303954 or -1?\nAnswer: -43\/303954","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -b**2 - 1. Let x(a) = 5*a**2 + 5*a - 2. Let c(d) = 4*r(d) + x(d). Calculate c(-6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1073\/12 + 403\/4. What is the third biggest value in w, -4\/9, -3, -2\/5?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -12.6 + 13. Which is the closest to -0.1? (a) 2 (b) h (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/18*(-3)\/(-8))\/(((-1806)\/280)\/43).\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 7*m**3 + 2*m**2 - 2. Let s(z) = 15*z**3 + 5*z**2 - 4. Determine -5*n(p) + 2*s(p).\nAnswer: -5*p**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.4 and -37152.\nAnswer: -37151.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = 3*z + 2*t - 34, 0 = -2*z - 5*t + 1. Suppose 2*r - 12 = -2*i, 2*r - 3*i - i = 0. Let n = z - r. What is the remainder when 6 is divided by n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*l**3 + 4*l**2 - 2*l**2 + 2*l**3)*(-3 + 0 + 1) in the form m*l**3 + s + f*l + h*l**2 and give h.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s**2 + 93*s + 3060 = 0 for s.\nAnswer: -20, 51","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1622, 6000, 13196, 23216, 36066?\n\"Answer: z**3 + 1403*z**2 + 162*z + 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (79 - (-3 + 16)) + -11 - (21 - 12)?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.24 - -18.34. Let w = 44843.00171 + -44861.1. Let f = n + w. Round f to four dps.\nAnswer: 0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 83.564 decades in millennia?\nAnswer: 0.83564","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -211*j + 2*x - 9 = -212*j, 0 = 3*j - 11*x + 7 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*b - 25*b = -5496. Let z = b + 104. List the prime factors of z.\nAnswer: 2, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + i**2)*(i + i - 3*i)*(27 - 2 - 109*i**2 - 27*i**2).\nAnswer: 136*i**5 - 25*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 451*b - 256 = 536*b + 169 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 158 is divided by 35?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*k - 4263 = -154*k + 4469 for k.\nAnswer: 74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 2172?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 101 (base 2) to base 4\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 82820 and 5330.\nAnswer: 410","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(52) - sqrt(52)*5 - sqrt(52)) + sqrt(104)\/(sqrt(2) + sqrt(128)))\/((sqrt(16)\/(sqrt(20)\/sqrt(5)) + (sqrt(96)\/sqrt(2))\/sqrt(12))*1).\nAnswer: 91*sqrt(13)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-2\/17)\/(m**5*m))**(-31) assuming m is positive.\nAnswer: m**(3224\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p + 2*c - 37 + 14 = 0, 3*p - 10 = -5*c for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45*p - 949426 = -951136 for p.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5 + 3. Let s = 1 - p. Let a = s + -3.0000032. Round a to 6 decimal places.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14214883?\nAnswer: 251, 56633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((0 - 3) + 5)\/(1\/10). Calculate the highest common divisor of 80 and p.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -138*j - 103. Calculate v(-5).\nAnswer: 587","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.27 + 0.27. What is the smallest value in 1\/2, -1, q?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 397 a factor of 232258418?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 69780 and 96.\nAnswer: 558240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*o - 8263 = 2505. What is the tens digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -37 - (1 - 6\/2). Let d = 23 + f. Let o be (8\/d)\/(4\/(-162)). Solve -3*q + 10 - o = -4*v, 27 = 2*q + 5*v for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the second derivative of -k**5\/20 + k**4\/4 + k**3 - 7*k**2\/2 + 6*k. Let u be v(6). Let g = -54 - u. What is the units digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-5 - -15)\/(2\/(-3)). Let p = 25 + u. What is the greatest common divisor of p and 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3 + 0. Suppose 3*d + 2*d = 2*x + 14, d - 5*x - 12 = 0. Let w(g) = 2 + 5*g + d + g**3 - 3*g + 4*g**2. What is w(i)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1637 - -1934. Calculate the remainder when t is divided by 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 35, -30, -117, -238, -405, -630, -925?\nAnswer: -1302","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 683364 divided by -501\nAnswer: -1364","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4)\/(-10) + (-648)\/(-30). Let o be (0 - -1)*k\/(-1). Let j = -14 - o. Is 8 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1100395?\nAnswer: 5, 101, 2179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 87316, 698478, 2357332, 5587726, 10913508, 18858526, 29946628?\nAnswer: 44701662","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/2 or 116\/3?\nAnswer: 116\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 51700 = 6*k. Round k to the nearest one thousand.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6505879.\nAnswer: 1303, 4993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -158 (base 13) in base 4?\nAnswer: -3302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3417*w + 3433*w + 26*w**3 + 17*w**3 - w**3 + w**3 - 6848*w.\nAnswer: 43*w**3 + 2*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 2*y**2 - 16*y + 4. Let p be u(8). Let v be (-20)\/(-15)*-3 + p. Solve 0 = 3*l + 3*n - 27, 5 = 5*l - v*n - 5*n for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i and 1 f when three letters picked without replacement from {f: 6, s: 1, o: 1, i: 2, b: 2, a: 3}.\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 3 = 7. What is the smallest common multiple of 20 and c?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 108 - 103. Suppose 304 = -o*l + 1979. Suppose z - l = 203. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w**3 + 6*w**2 + 3*w + 3. Let j be h(6). Suppose 0 = -a - 3*b + 281 - 50, 462 = 2*a - 4*b. What is the highest common factor of j and a?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 19\/681744 and 59\/766962.\nAnswer: 6135696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 52.93471 nanometers in millimeters?\nAnswer: 0.00005293471","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2886 - -2885.5. What is the biggest value in -5, -2\/21, o?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = r**2 - 12*r. Let n be q(12). What is the closest to n in 8, -2\/3, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -201 = -3*m - 1140. Let d = -33 - m. Is 14 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-2))\/(4*(-35)\/10).\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -27 - -38. Let n = 12 - r. Find the second derivative of -n - 5*x + 2 - 6*x**5 - 1 wrt x.\nAnswer: -120*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(-2*sqrt(170) + sqrt(170) + sqrt(170)))\/(sqrt(10) + (sqrt(160) - -2*sqrt(160)) + sqrt(160)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-45)\/18 - 1*-1. Let t = 5\/6 + a. What is the nearest to -2\/5 in t, 0.4, -3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -58 (b) 9\/7 (c) -11 (d) 6 (e) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -451242 divided by -225621.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -19221 + 39814. What is the tens digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 167998337?\nAnswer: 13, 994073","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -6*u**3 + u - 1. Let x be z(1). Let y = 8 + x. Solve -81*h**5 + 18*h**3 - 9*h + 17*h**y - 65*h**2 + 9*h**3 - 3*h + 162*h**4 = 0 for h.\nAnswer: -1\/3, 0, 2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/8)\/((175\/42)\/(-25))?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1013934, -4055703, -9125310, -16222755, -25348038, -36501159, -49682118?\nAnswer: -64890915","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4 + -37. Let p = z - -32.848. What is p rounded to 2 dps?\nAnswer: -0.15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*q + 3*r - 3761 + 3753 = 11*q, 0 = 7*q - 4*r + 16 - 2 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the first derivative of -b**4\/5 + 136*b**3\/15 - 728*b**2\/5 + 4704*b\/5 + 301. Find y, given that s(y) = 0.\nAnswer: 6, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1374 divided by 687?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -2*j - 8. Let p(y) = -2*y - 8. What is 5*d(r) - 4*p(r)?\nAnswer: -2*r - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 166 to the power of 1\/7, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 9482, 39, 4, 10, -3 in decreasing order.\nAnswer: 9482, 39, 10, 4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 50 and 170250?\nAnswer: 170250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in twenty-one halves of a day?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -33 divided by 42\nAnswer: -11\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l**2\/8 - 7015*l\/8 + 1510377\/4 = 0. What is l?\nAnswer: -7422, 407","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-15)\/2*32\/(-48). Solve -q*g = 18 + 7 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.369 and -442580.\nAnswer: 163312.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -4617 divided by -3?\nAnswer: 1539","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 2*v - 2. Let k(l) = l**3 - l**2 + l + 18. Let i be k(0). What is the remainder when v is divided by 2\/(-8) + i\/8?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*s - 501 = -2*s + 2403. What is the greatest common divisor of s and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1304 or 9126\/7?\nAnswer: 1304","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**3\/19 - 16*i**2\/19 - 14*i\/19.\nAnswer: -2*i*(i + 1)*(i + 7)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 378?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 558 minutes after 10:04 AM?\nAnswer: 7:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that -3*g**3\/7 + 11568*g**2\/7 + 127611*g\/7 = 0.\nAnswer: -11, 0, 3867","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 15, k: 2}. Give prob of sequence kkp.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4360?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*c - 7392 = c. What is the tens digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*m + 4*m**2 + 9*m - 12*m**2.\nAnswer: -8*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one quarter of a year?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 6 = 5*a - 4*i, a - 18 = -4*i. Suppose a*c = 7*c. Solve b + 0 + 3 = c for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -169*q**3 - 5*q**2 - 22*q - 89. Is s(-6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p**2 - 6. Let z = 16 - 14. Let o(j) = -z + 14 + 2*j**2 - 3 - 2. What is 3*o(u) + 4*w(u)?\nAnswer: 2*u**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*j - 6 - 4. Suppose -3*t = -z + 23, -j*z = 2*z - 20. Which is bigger: t or -7?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.639756 times 0.19?\nAnswer: -0.50155364","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the first derivative of 5*h**2\/2 + 15*h - 393. Let l(t) = 3*t + 8. Calculate 11*l(i) - 6*s(i).\nAnswer: 3*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -53 (b) -2\/3 (c) 1 (d) -0.4 (e) 4 (f) -889 (g) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -125*g - 25*g - 78*g - 38*g as r + q*g and give q.\nAnswer: -266","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -129 - -147. What is the remainder when 125 is divided by v?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 4, s: 4, z: 1, j: 8, q: 2}. What is prob of picking 1 a and 1 q?\nAnswer: 8\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*g**3 - 10*g + 23*g - 3*g**4 - 11*g - g**2 as y*g**4 + p*g**3 + d*g + n*g**2 + m and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 649?\nAnswer: 11, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(33)*3 + sqrt(33))\/sqrt(3).\nAnswer: 7*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-20)\/(-25))\/(6\/45). Solve -w*m + 2*m = 4 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r**3 - 21*r**2 - 2596*r + 52275. Determine i(20).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1146 and 485394?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*l**2 + 2*l + 1 - l**2 - 3*l + 30*l**2 + 0*l**2 in the form j*l + a*l**2 + m and give a.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -57 + 23. Let l = -0.54 + -33.86. Let k = l - g. What is the third biggest value in k, -4, -2\/43?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35\/759 equal to 2\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 193*v + 9072 = -23*v - 102*v - 18*v for v.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9246441, -9246440, -9246439, -9246438, -9246437, -9246436?\nAnswer: -9246435","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 238729, 239587, 240445, 241303, 242161?\nAnswer: 243019","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2579261?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Are -3\/45574472 and -1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 443 minutes before 5:15 PM?\nAnswer: 9:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -77*z + 12. Let m be j(11). Let h = m - -1532. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.3346 rounded to 1 decimal place?\nAnswer: -2.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m**2 + 15*m + 6. Calculate f(-14).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 278 is divided by 20.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -1 + (0 + 0 + 0 - -1)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 993.\nAnswer: 3, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 18 = -2*u, 0 = -320*u + 319*u - 5*w - 19. Which is smaller: -156 or u?\nAnswer: -156","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -48 - -53. Suppose 0 = -5*m - d*x, 4*x + 11 - 3 = -2*m. Solve 0 = m*k - k - 15, -5*h = -k + 5 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0747762nm to kilometers.\nAnswer: 0.0000000000000747762","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -4*m + 59 + 0*m - 31 - 28. Let n(i) = -i**2 + 2*i - 2*i. Give n(y(u)).\nAnswer: -16*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = 4*f + 12, -5*a + 3*f + f + 17 = 0. Suppose -28 + 148 = a*c. Calculate the remainder when c is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -5, 9, 45, 115, 231, 405, 649?\n\"Answer: 2*r**3 - r**2 + 3*r - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*d**2 + 41 - 37 - 57*d + 2 - 25*d + 82*d - 4.\nAnswer: 9*d**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 18\/7 of a week?\nAnswer: 18","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 31713?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*c**2 - 6400*c - 5120000 = 0. What is c?\nAnswer: -1600","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*l - 2*l - l)*(2*l + 0*l + 0*l)*(7975*l**2 - 53984 + 53984) to the form w + a*l + c*l**4 + i*l**3 + o*l**2 and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/4 of a litre in millilitres?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4)\/12 + 1834\/21. Let q = 87 - j. Suppose 13*i - 10*i - 324 = q. What are the prime factors of i?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.8 + -9.8. Let i = v - -12. Let l = i - 3.8. Is -3\/4 at least l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -371774, -371808, -371842, -371876, -371910?\n\"Answer: -34*q - 371740","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 18 = 33. Suppose 4234 = s*p + 4*n, -20*n - 5636 = -4*p - 16*n. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -708*a**2 + 6 + 720*a**2 - 6.\nAnswer: 12*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 844404?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a**3 - 16*a**2 - 12*a - 84. Let q be y(17). Solve -4 = -4*n - 3*m - 22, 4*m - q = 3*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t - 10. Let y(i) = i**2 + 14*i + 20. Let h be y(-11). Let n be z(h). Let b(j) = 3*j**2 - 3*j + 2. Give b(n).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 14875285414 - 166097437102099\/11166. Let v = -4\/1861 - s. Find the common denominator of v and 71\/4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 24 (b) -35\/8 (c) 106\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4)\/(-18) - (696\/702 + -1). Suppose -y - y = 0. Which is smaller: s or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5 + 6. Let l be (27\/6*-2)\/(-1). Let o(h) = -h**3 + 8*h**2 + 13*h - 14. Let a be o(l). Calculate the greatest common factor of p and a.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7639289 bigger than 7639288?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(1\/2))**24)**(5\/7) assuming m is positive.\nAnswer: m**(60\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a**2 - a. Let z(n) = 40*n**2 - 36*n. Calculate -144*d(r) + 4*z(r).\nAnswer: 16*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -564237 divided by 9.\nAnswer: -62693","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7767, 7933, 8161, 8475, 8899, 9457, 10173, 11071?\nAnswer: 12175","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -4. Let r(k) = -k + 1. Let u = 16 + -15. What is u*l(b) + 4*r(b)?\nAnswer: -4*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 55 - 57.04. Let w = 0.04 + f. Let t = 0.0745051 + -0.0745051. Which is the second smallest value? (a) 1\/3 (b) 4 (c) w (d) t\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1 - 172\/16) + 4\/(-16). Let r be (3\/(-9))\/(1\/o) + -2. Solve -2 = -r*b - 4 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pgpgppg. What is prob of sequence ppp?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/238, -10275, 1, 0.01 in descending order.\nAnswer: 1, 0.01, 1\/238, -10275","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 21*x. Let k(a) be the second derivative of 6*a**3 - 486*a. Calculate t(k(h)).\nAnswer: 756*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1674*c - 1514*c - 1120 = 0. Let x(w) = w**2 + 4*w - 4. Let y be x(-5). Solve 3*l = -c + y for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -23306.04 to the nearest one hundred.\nAnswer: -23300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.6146 times 0.1?\nAnswer: -0.26146","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4647 is divided by 93?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c = -v, 4*v + 0*v = 5*c - 2 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3.962 + -0.038. Which is the nearest to 0.1? (a) 0.04 (b) p (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, f: 2, u: 1, n: 3, o: 3}. Give prob of picking 1 o and 1 n.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -530 + 532. Let k = -2 - -5. Factor n*c**4 + 2*c - 7*c + 5*c + 2*c**k.\nAnswer: 2*c**3*(c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -318, -317, -316?\nAnswer: -315","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the first derivative of -j**9\/432 - j**5\/120 + 2*j**3 - 5. Let d(u) be the third derivative of c(u). What is the second derivative of d(s) wrt s?\nAnswer: -140*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1513*d + 5940 = 1117*d for d.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n**3 - 23*n. Let h(l) = 612*l**3 - 253*l + 950. Let z(v) = 2*h(v) - 22*m(v). What is the derivative of z(a) wrt a?\nAnswer: 3738*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 70\/20*8\/7. Suppose -v = -s - 4*v + 19, 51 = 5*s + u*v. Is s even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 4595 = -1445. What is the common denominator of 2\/3 - (h\/576 + 5) and -149\/12?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -526 + 483. Is n at least as big as -377\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v**3 - 4*v**2 - 6*v + 7. Let i be r(5). Let l = -2 - -1.99. Let m = -1.99 + l. Which is the closest to i? (a) m (b) 0 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -1471*i. Let b(r) = -5*r + 8. Let z(t) = -27*t + 44. Let q(d) = -11*b(d) + 2*z(d). What is q(n(u))?\nAnswer: -1471*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -2\/17959?\nAnswer: -2\/17959","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 265 a factor of 758430?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 885224 and 46?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**5\/i)\/i)\/i**(-5)*(((i**(-30)\/i)\/i)\/i)\/(i*i**18) assuming i is positive.\nAnswer: i**(-44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1032 is divided by 129.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -2*s - 16 - 28*s**2 + 53*s**2 - 24*s**2. Let l be j(8). Let y = -22 + l. What is the smallest common multiple of 9 and y?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 44345 + 25?\nAnswer: 44414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 449901406?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5356062 divided by 6.\nAnswer: -892677","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 51*f - 3002 - 3118. Suppose 3*m - 93 = 2*m + a, -2*m + 165 = 5*a. Calculate the smallest common multiple of f and m.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 8 + 0)*(-316*m**2 - 209*m**2 - 142*m**2).\nAnswer: -3335*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2882 + 4649. Calculate the remainder when s is divided by 104.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4.7 - 5. Let h = 151\/35 - 23\/5. Let l = 2.1 - 7.1. Which is the nearest to z? (a) l (b) h (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -145 times 1297.2\nAnswer: -188094","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hhihihjkhzihii. Give prob of picking 1 k, 2 i, and 1 j.\nAnswer: 10\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the second derivative of x**4\/12 + x**3\/2 - 2*x**2 + 28*x. Let u be -3*(-5)\/(30\/14). Suppose u*s - 10*s - 18 = 0. Calculate i(s).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/7, 0.4, -3\/5, 8 in increasing order.\nAnswer: -3\/5, 1\/7, 0.4, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 2 = -2. Suppose -5*a = -3*b + 2 - 3, 3*a = i*b. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35 is divided by 13.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -7*m**3 - 6*m**2 - 5. Let h(c) = -6*c**3 - 7*c**2 - 6. Calculate 5*h(u) - 6*t(u).\nAnswer: 12*u**3 + u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/(1\/3 + 0). Suppose 0 = -2*r - 8, i*p = -5*r + 1 - 21. List the prime factors of (-29)\/((p - -1)*-1).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (80\/360)\/((-5)\/9) - 248\/5.\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -3*y**3 - 7*y**2 + 5*y - 1. Let f(c) = -4*c**3 - 8*c**2 + 5*c. Let x(n) = -3*b(n) + 2*f(n). What is x(-6)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 101803027 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -57422, -114515, -171270, -227687, -283766, -339507, -394910?\n\"Answer: 169*h**2 - 57600*h + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c**2 + 7*c - 2. Let g be j(4). Suppose 0 = -2*s - 2 + g. Let a(k) = 22*k**2 + 6*k + 3. Is a(s) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 66432209 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 1, n: 1, l: 2, b: 2}. Give prob of sequence bbn.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -127074 != -635374\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (6 - 6)\/(2\/(-2)). Let m be 2 - 7\/7*(-10)\/(-2). Put -1, i, -4, m in ascending order.\nAnswer: -4, m, -1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 156 + 95 - 6*c + 3*c. Is r(0) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -239453.4 to the nearest 1000.\nAnswer: -239000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 234708 = 39*k - 30310 - 92885. List the prime factors of k.\nAnswer: 3, 7, 19, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1*(2 + 2 + -1). Let z(w) = -2*w**2 - 28*w + 956. Let l be z(-30). Put l, 5, 100, k in descending order.\nAnswer: 100, 5, k, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-22 - -17)\/(-5) - (0 + 1). Suppose 10*q = 17 + 3. Solve 3*f - 3 = 3*h, t + 2 = -4*f - q*h for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5 - 2. Suppose -2*o + 0*o = -b*q + 2, 3*q + 5 = -5*o. Calculate the remainder when 7 is divided by q - (-2 + 1 + -2).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -4*y**3 - 1. Let g be u(-1). Is 2\/(g*6\/261) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p**2. Let k(u) = -u + 5. Let j be k(2). Let c(v) = v**2 + j*v**2 - 2*v**2. What is h(c(d))?\nAnswer: -4*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 47676 + 9*k - 47676 - 8*k.\nAnswer: k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4167, -8334, -12503, -16674, -20847?\nAnswer: -25022","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 58283312963 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -4870756 (base 9) in base 10?\nAnswer: -2644701","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 16353 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6775140.\nAnswer: 2, 3, 5, 112919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 12326?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + k + 13 = -21, k - 8 = -m. Suppose -3*i = -5*i + 102. Suppose -5*o = -v - 2*v + i, -o = -4*v + 51. What is the remainder when v is divided by m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15072 is divided by 83?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/10 of a tonne in kilograms?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 4 = -4*d + 21, 4*d - 4*c = 32. Find the third derivative of -7*y**5 + 2*y**4 - 7*y**5 + 2*y**5 + 3*y**d - 3*y**4 - 132*y**2 wrt y.\nAnswer: -540*y**2 - 24*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 (base 15) in base 11?\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(88)\/(sqrt(8) + sqrt(32))*5 + (-1 + sqrt(1100))**2 + 3.\nAnswer: -55*sqrt(11)\/3 + 1104","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 97\/4792 and 125\/28752.\nAnswer: 28752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 937625?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3 - ((3 - 2) + -1). Suppose -j*i + 2*n = -2725, 1057 = 2*i + 3*n - 751. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -32, -13, 32, 115, 248, 443, 712, 1067?\nAnswer: 1520","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/79 greater than or equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1164 and 1552.\nAnswer: 4656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/3, -3\/86, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 64 = 4*s, 4*o = -2*s + 7*s - 44. Solve 15*z = 18*z - s for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*l - 24220 + 91571 - 4*l - l**2 + 3*l**2.\nAnswer: 2*l**2 - 2*l + 67351","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 489803?\nAnswer: 489803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 23 + -20.72. Let r = 2.28 - w. What is the nearest to r in 2\/13, -20, 2\/9?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (6 - 3937)\/(6*(-9)\/108).\nAnswer: 2, 3931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 73 - 90. Let p = w - -17.3. Which is the second biggest value? (a) -1\/3 (b) 0 (c) p (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (4\/280)\/(2\/132) - 1. Sort 0.3, -5, v in decreasing order.\nAnswer: 0.3, v, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 107191.3254 - 107201. Round k to one dp.\nAnswer: -9.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 13 + -22. Let y(k) = -k**2 - 9*k + 3. Let t be y(r). Find the third derivative of f**3 + 4*f**3 - f**2 - 2*f**3 - f**t wrt f.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2 (b) -3 (c) 0.1 (d) 0.0071 (e) -1 (f) -0.09\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 200 + -195. Let x(k) = -16*k + 96. Let m be x(u). Calculate the greatest common divisor of m and 72.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 73*k - 59*k = 293 - 55 for k.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from spaippaapaispk. Give prob of sequence aipp.\nAnswer: 20\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1348090229 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -68*o**3 - 2*o**2 - 3*o - 2. Let q(x) = 0*x + 2*x - 6*x**2 - 3*x + 2*x - x**3 + 5. Let y be q(-6). Is j(y) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1490834?\nAnswer: 2, 137, 5441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.118 - -0.068. Let s = -0.59 + -31.41. Let a = -32.1 - s. Put g, 2\/19, a in decreasing order.\nAnswer: 2\/19, g, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, 0.1, 7\/4, -5 in decreasing order.\nAnswer: 7\/4, 0.1, -0.4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - 2 - (4 - (-3 + 6)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 47 - 31. Suppose -31 = -p + z. Let v = p + -13. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 88 a factor of 2904?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -2 - ((-20 - -9) + 4)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -672 - 678 - 671 + 2021 + 18927*k**2.\nAnswer: 18927*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 68.67119 * -0.4\nAnswer: -27.468476","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 2 - 2)*(-714 + 22*q + 714) - 2*q - 2*q + 0*q in the form v + d*q and give d.\nAnswer: -92","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 94 a factor of 41795220?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4 + 4. Let j = 253 - 62. Let z = 195 - j. Solve -4*f - z = -m for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/((221\/85 - 1)*10).\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8358428237 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-63 - -120)*(-3)\/(-57). Let i(l) be the first derivative of -7\/2*l**2 + 0*l + 0*l**h + 36 + 7\/2*l**4. Find the second derivative of i(g) wrt g.\nAnswer: 84*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 2, a: 10}. Give prob of sequence nan.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10 + 22 + 5)*(-10*d - 1 + 12*d - 9*d).\nAnswer: -119*d - 17","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -22, -35, -64, -115, -194, -307, -460?\n\"Answer: -y**3 - 2*y**2 - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -108273992 divided by 4?\nAnswer: -27068498","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 12 and 12\/14*42\/9.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.025 take away 25025667?\nAnswer: -25025667.025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 10 - 8. Let j be 3 + 13 + -3 + d. Let x = -61 - -66. Solve 10 = x*n, 5*i - 3*n - j = 2*n for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 122258662*h**3 - 87707321*h**2 wrt h.\nAnswer: 733551972","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5298 to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.08 and 0.389.\nAnswer: 0.309","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -350*o**3 - 103 + 347*o**3 - 37*o**2 + 107 + o to the form c*o**2 + w*o**3 + l*o + v and give v.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -142, -293, -446, -601, -758, -917?\nAnswer: -1078","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2684.1 + 166.3. What is r rounded to the nearest 10?\nAnswer: -2520","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2 - 1)*(35*s**3 - 20*s**4 - 35*s**3) + ((-2 + 5 - 2)*(s + s - 3*s) + (-3 + 4 + 1)*(-4*s + 0*s + 3*s))*(-2*s**3 + 2*s - 2*s).\nAnswer: -54*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -6 + 137b8?\nAnswer: 137b2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:22 PM and 9:02 PM?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -6*l + 32. Let q be t(3). Let g = 15 - q. Let v(u) = -3*u**2 + 2*u - 1. What is v(g)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 32*f**3 + f**2 + 14*f - 24. Give q(2).\nAnswer: 264","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (a + 2*a - 5*a)*(-2*a - 2*a + 2*a) + 0*a + 0*a + a**2 - 4*a**2 + 3*a**2 + 3*a**2 - 36*a + 36*a - 4*a**2.\nAnswer: 3*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q + 5*q - 7*q + 45 = 0 for q.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7377253310?\nAnswer: 2, 5, 7, 19, 83, 9547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 41\/2 of a litre?\nAnswer: 20500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -7*h - 4. Let q(i) = -20*i - 12. Let b(k) = -14*g(k) + 5*q(k). Let o be (-76)\/(-18) - (-80)\/(-360). Let y be ((-115)\/20 - (0 - 5))*o. Determine b(y).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -41917*u + 83798*u - 41879*u.\nAnswer: 2*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 784 times -12\nAnswer: -9408","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate f**3*o*x**3 + 159447*f**3*o + 1395*f**3*x**2 + 66*x**3 wrt o.\nAnswer: f**3*x**3 + 159447*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*w - w**2 + 12*w + 2*w**2 in the form k*w**2 + n*w + z and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 18*x**2 + 7*x + 103. Let z(y) = 18*y**2 + 6*y + 131. Calculate 6*w(s) - 7*z(s).\nAnswer: -18*s**2 - 299","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:28 AM and 7:44 PM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-7)\/(-13 - 996\/(-72) - 2). Sort 4, 5, -2, h, -5.\nAnswer: -5, -2, 4, 5, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 545273 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1413403.\nAnswer: 109, 12967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 9570?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4129?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - -5) + 9 - 22.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -47, 6, 0, 2 in decreasing order.\nAnswer: 6, 2, 0, -4, -47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 996 + 840 = 4*r. List the prime factors of r.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 99688179?\nAnswer: 3, 41, 810473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 32642 and 57?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2014 + -263853\/131. Let c = k - 7427\/1179. What is the common denominator of c and 28\/5?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 2*p**2 - 9*p - 2. Let k be z(-2). Let u be 16\/k - (2 - 426\/9). Suppose -2*j = -j - 46. Is j not equal to u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10072944 divided by -179874.\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10885364?\nAnswer: 2, 7, 43, 9041","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1520*g**6*k - 13*g**2*k + 25*g**2 wrt g?\nAnswer: 182400*g**3*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 242 - 203. Let t = n + -38.999655. Round t to four decimal places.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3219, -3266, -3313, -3360, -3407, -3454?\nAnswer: -3501","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = 3*f - 234, 5*v = v - 5*f + 182. Calculate the greatest common factor of v and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 11\/(55\/(-70)) + 2. What is the tens digit of ((-78)\/(-4))\/((-6)\/g)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50474*y + 240 = -50489*y for y.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(130)*-1)\/sqrt(10) - (sqrt(117) + 3).\nAnswer: -4*sqrt(13) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 106.5 - 52. Let o = i - 12.5. Is -1 >= o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1101011011010 (base 2) to base 7\nAnswer: 26020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o**3 + 3*o**2 - 8*o - 5. Let s be p(-5). Let a be (-1325)\/s - 2\/6. Suppose a = -f + 5*f. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fppf. Give prob of sequence fpfp.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 2*u. Suppose 2*z - 32 = -2*z. Let i(c) = 6*c**2 + 8*c. Let a(s) = s**2 + s. Let h(k) = z*a(k) - i(k). Determine h(w(d)).\nAnswer: 8*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26 = -4*c + h, c = -980425*h + 980426*h - 14 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 8704202 less than -0.048391?\nAnswer: -8704202.048391","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 2*r. Let w(q) = -5*q - 164. Let i(j) = -2*j - 83. Let n(z) = 9*i(z) - 4*w(z). Calculate f(n(h)).\nAnswer: 4*h - 182","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 2319161600 to the nearest one million.\nAnswer: 2319000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 95 is divided by 74?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 12 - 5. Let s(x) be the third derivative of x**5\/60 - 7*x**4\/24 + x**3\/2 - x**2. What is the units digit of s(g)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -7, 5, 14, -6 in ascending order.\nAnswer: -7, -6, 5, 7, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5 - 5. Let f(i) = i**2 + 6*i - 88. Let q be f(0). Let x be (-10 - -7)\/(q\/12). Is p less than x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 29, 41, 75, 143, 257, 429, 671?\n\"Answer: 2*b**3 - b**2 + b + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 771 - 505. Let t = b + -187. What is the remainder when t is divided by 20?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4863955777\/36 - -135138752. Let g = 28867 - x. What is the common denominator of g and 37\/12?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i and 2 p when four letters picked without replacement from {i: 2, m: 4, p: 3, b: 2, z: 6}.\nAnswer: 3\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 62265083 to the power of 1\/3, to the nearest integer?\nAnswer: 396","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 59*a**2 + 46*a - 8. Let g(s) = -32*s**2 - 23*s + 4. Let d(k) = -11*g(k) - 6*n(k). Let b(m) = 2*m**2 + 24*m - 5. What is -4*b(y) - 5*d(y)?\nAnswer: 2*y**2 + 19*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = -0*i + 33. Let q(p) = -16*p**3 - 11*p**2 - 11*p. Let d be (1*(-1 - -2))\/1*-2. Let n(v) = -3*v**3 - 2*v**2 - 2*v. Determine d*q(y) + i*n(y).\nAnswer: -y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -532, -644, -830, -1090, -1424, -1832, -2314?\nAnswer: -2870","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 79 a factor of 58223?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 2*t**3 - t**2 - 7*t + 2. Let a be w(-4). What is the units digit of a\/76 - 1098\/(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that -5*o**4 - 13995*o**3 - 9813970*o**2 - 29344020*o - 19544040 = 0.\nAnswer: -1398, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*d**2 - 3*d**2 + 4*d**2.\nAnswer: d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 242 = -581. List the prime factors of a.\nAnswer: 3, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the third derivative of v**5\/20 + v**2. Let p be i(2). What is the greatest common divisor of 24 and p?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 125216?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h = 5*r + 45, 4*r = -2*h - 0 - 10 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 0 - 214?\nAnswer: -214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15, 15, -1, 1, 37, -43 in increasing order.\nAnswer: -43, -15, -1, 1, 15, 37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8304416*y - 4152209*y - 4152215*y.\nAnswer: -8*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1234005 times -10?\nAnswer: 1.234005","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 44766\/2241 + (5\/(-1) - 15).\nAnswer: -2\/83","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*l - 99*l - 609805 = -2920995. What are the prime factors of l?\nAnswer: 2, 5, 7, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -54*m - 312. What is the remainder when 250 is divided by v(-7)?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -11*r + 4. Let d(u) = 6 - 5 - 10*u - u + 4. Let y(m) = 5*b(m) - 4*d(m). Let o(v) be the first derivative of -2*v**3\/3 - 4. Give o(y(l)).\nAnswer: -242*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*v**3 + 54509509*v**2 - 54509509*v**2 + 12.\nAnswer: 23*v**3 + 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -88*n**5 - 3*n**4*p - n**3 + 3*n**2*p + 78*p wrt n?\nAnswer: -5280*n**2 - 72*n*p - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rd when two letters picked without replacement from tttatrtttdttqttqtrtg.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 27979933 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - s + 0*s - s + (2*s - 3*s - s)*(2 - 5 + 2) + s - 3*s + 3*s to the form h*s + n and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (4\/(-36))\/(4\/12)\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -761*k + 929*k + 1045*k in the form l + z*k and give z.\nAnswer: 1213","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(52)\/sqrt(4)*-6 - (-2*sqrt(65))\/sqrt(5) - sqrt(117)\/(sqrt(36)\/sqrt(4))*-6.\nAnswer: 2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 9221453 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -65959925 or -65959930?\nAnswer: -65959930","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2.2 + 2. Let m = -0.173 - -0.073. Which is the closest to m? (a) -0.3 (b) -5 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7.207 - 0.007. Let y = 7 - m. Which is the second biggest value? (a) 7 (b) y (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 8*x + 47 = 3*y, 0 = -x + 1. Suppose y = 7*l - 105. Solve 4*q - l + 21 = 0 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c - 9*t + 61 = -6*t, 6*t + 32 = 4*c for c.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -195, -575, -1213, -2109, -3263?\nAnswer: -4675","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000246696811 to 6 decimal places.\nAnswer: -0.000025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*z + 24*z - 44*z.\nAnswer: 3*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 12*m**2 + 2*m. Let q be l(-3). Let f = 105 - q. Suppose 53 = 4*w + 5*k, 8 = f*w - 3*k - 25. What is the remainder when 35 is divided by w?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -96*f - 1935. Give y(-30).\nAnswer: 945","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.02 - -3.52. Let m = s + -4. Which is the third smallest value? (a) 0.4 (b) -0.3 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -72*c**3 + 121*c**3 + 37*c**3 + 280*c**3.\nAnswer: 366*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 504253?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -21\/19, -70, 3\/20?\nAnswer: -21\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(a*a\/a**(-2\/11)))**(2\/39))**(1\/4) assuming a is positive.\nAnswer: a**(-1\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -16*i**2 - 11*i - 4. Let p(b) = 14*b**2 + 18*b + 3. Calculate 8*o(n) + 9*p(n).\nAnswer: -2*n**2 + 74*n - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/n**5)**30\/(n\/n**(4\/15)*n*n*(n**(2\/3)*n)\/n) assuming n is positive.\nAnswer: n**(-617\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 43250 to the nearest one thousand.\nAnswer: 43000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:49 AM and 7:46 AM?\nAnswer: 237","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sum 139.9 and 111.\nAnswer: 250.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 292*v**2 - 11*v**3 + 15705 - 94*v**2 - 15705 - 7*v**4 wrt v?\nAnswer: -168*v - 66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 339867?\nAnswer: 3, 11, 3433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of n**3*o - 296368050*n**3 + 46992*n*o - 530*o wrt o?\nAnswer: n**3 + 46992*n - 530","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*z + 17 + 7. Let o = -6 + z. Suppose -2*v - 8 = 2*v, -3*r = 5*v + 19. Which is the smallest value? (a) 1\/7 (b) o (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m**(-10))\/(m\/(m*m**(-18)*m))*(m*m\/m**(13\/2))\/m**16)**(14\/15) assuming m is positive.\nAnswer: m**(-217\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (7\/357*-6 + 174\/2346)*1\nAnswer: -1\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 62 + -2623989140519\nAnswer: -2623989140457","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 687 minutes after 4:15 PM?\nAnswer: 3:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -32856 by -6.\nAnswer: 5476","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r**2 - 25*r - 27. Let b be z(12). What are the prime factors of 4\/8*(1 - b)?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5071 >= 4743?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4 + 11. Let o = 8795 + -8788. What is the lowest common multiple of y and o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -31660.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.02, 0.2, 68, -2\/5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -282.936 + 283. Sort h, -1, 0.16 in increasing order.\nAnswer: -1, h, 0.16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 121\/3 != 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 4*m + 10 = -4*r, -3*m + 6 = -2*r. Let v be (-1 + -3)*1\/(-2). Differentiate -m*w + v - w + 1 + 5*w with respect to w.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -3*t + 4. Let y(b) = -6*b + 85. Let s be y(14). Let d = s - -3. Determine w(d).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 937074 is divided by 93705?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -74*m - 910. Let n(f) = 3*f**2. Calculate o(n(t)).\nAnswer: -222*t**2 - 910","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1a00568a4 + -4?\nAnswer: -1a00568a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j + 4*j = o - 24, 0 = 5*j + 5*o + 30. Let a be j\/(-9)*-3 + 4. Solve -2*b + a + 2 = -l, 2*b = 6 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 5 = -5*j, -7*q + 13 = -3*q + 5*j. Suppose -4*w = -6*w - q. Let r be (1 + 0)*(-3 - w). Let p(z) = -5*z - 2. What is p(r)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -378, -2805, -9256, -21699, -42102?\n\"Answer: -328*o**3 - 44*o**2 + o - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -8831755.7 rounded to the nearest 1000000?\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 128\/(-240) - 1\/(-3). Let d = -2950.4 - -2951. Do d and i have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 3*d - 3*h, 0 = 2*d - 4*d - 2*h + 8. Suppose -d*p + 5 = -5. What is the units digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.052 - -0.075. Let i = 60.957 + -61. Let r = i + y. Which is smaller: r or 6?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z + 4*t = 3*t + 20, -4*z = 4*t + 20 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -10*g**3 + 7*g**2 + 7*g - 7. Let w = -21 - -17. Let p(q) = 5*q**3 - 4*q**2 - 4*q + 4. Suppose -6*l = 19*l + 175. What is l*p(k) + w*u(k)?\nAnswer: 5*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 257\/5200 + 3\/5200. Let j(r) be the first derivative of y*r**4 + 1\/5*r**2 + 30 + 0*r + 1\/5*r**3. Factor j(c).\nAnswer: c*(c + 1)*(c + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 852?\nAnswer: 2, 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:46 AM and 7:18 PM?\nAnswer: 572","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -34 in 0, 8, 22?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -35\/57 + -1\/19. Let p = 2 + -0.8. What is the nearest to -0.1 in t, p, 0.5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x + 4*a = -3, 3*x - a = 3*a + 11 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 23917 to the nearest integer?\nAnswer: 155","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25579294?\nAnswer: 2, 13, 983819","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 237294249, 237294249, 237294247, 237294243, 237294237, 237294229?\nAnswer: 237294219","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -58, 4, -727, 5, 13?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + -5*6*(0 + sqrt(110)\/(sqrt(90) + sqrt(10))))**2.\nAnswer: 60*sqrt(11) + 2539\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -217.0310916 minus 21?\nAnswer: -238.0310916","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 120 minutes after 8:39 PM?\nAnswer: 10:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 363*o**2 + 599?\nAnswer: 726*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 20 + -9. Let m be (p + -9)*4\/2. Let q be (-1)\/(10\/88)*-5. Calculate the greatest common factor of q and m.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4686*r - 350079 + 350079)*(-3*r**2 + 3 + 4*r**2 - 1).\nAnswer: 4686*r**3 + 9372*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**10*(f**(2\/11)*f)\/f)\/(f\/(f\/f**(2\/25)))**(-25) assuming f is positive.\nAnswer: f**(134\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 3*u**2 + 60*u - 5. Let k be q(-20). Let p = 0.13 - 2.13. Which is the nearest to -0.2? (a) k (b) p (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -11017766 and -5.\nAnswer: -11017771","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(o*o*o**(3\/2)))\/(o\/o**34))\/(o*o\/(o*o**(-2))*o**(4\/13)) assuming o is positive.\nAnswer: o**(707\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of 251.6422 and 0.004.\nAnswer: 1.0065688","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wxw when three letters picked without replacement from {x: 2, w: 9}.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 2840, -20144, -43128?\n\"Answer: -22984*x + 25824","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert a (base 15) to base 3.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = -x + 4*i, -3*i = x - 4*x - 6. Let m = -4.1 - 0.9. What is the third biggest value in 0.5, m, x?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 - -13. Let g = o + -13.1. Do g and -19 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 + 0. Let a = q - -5. Let s be 423\/a + (-6)\/8. What is the greatest common factor of 15 and s?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/189 equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -34151 + 1?\nAnswer: -34150","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -2 - -4 - 6 - (-2 + -5)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**2\/10 - 171*x\/5 + 341\/10.\nAnswer: (x - 341)*(x - 1)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 20661477.9 hours?\nAnswer: 122984.9875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 at most as big as 2.74944?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((((sqrt(800) + -2 + sqrt(800) + sqrt(800))*-5 - (5 + (sqrt(800) + 0 - sqrt(800)))) + -5)*-5)**2*-2.\nAnswer: 27000000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1167 + -18?\nAnswer: 114b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 748453 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a minute in milliseconds?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -10*l - 26. Let z be (-1)\/(2\/224*7). Let d(o) = o. Let i(w) = 3*w - 5. Let j(h) = -5*d(h) + i(h). Give z*j(a) + 3*u(a).\nAnswer: 2*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Add -193 and -4878.\nAnswer: -5071","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r + p = 13, 3*p - 18 + 3 = 0 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/112 in 0.01, -10\/17, 0.22?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is x in 4*x**3\/5 + 76*x**2\/5 - 368*x\/5 = 0?\nAnswer: -23, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*g + g + 0*g)*(30*g**2 + 6*g**2 - 6*g**2) + 3*g**3 - 5*g**3 + 0*g**3 to n*g + o + y*g**2 + j*g**3 and give j.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1\/(-3))\/((-7)\/(-147)). Let v be (-2)\/(-4) - i\/(-10). Which is the second biggest value? (a) 5 (b) -5\/6 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 13 - 62 - (-19 + 7) - -7.\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/18*-3 + 68\/(-276)\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -673529 to the nearest ten thousand.\nAnswer: -670000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 9, g: 5}. What is prob of picking 3 g?\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 6\/(-8)*(-48)\/(-72)*(0 + -238772) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the second derivative of -13*h**6\/360 + h**4\/8 + 7*h**3\/3 + 10*h. Let g(q) be the second derivative of z(q). Differentiate g(k) with respect to k.\nAnswer: -26*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*f - 2*f - f)*(-15 - 27 + 32) + f - 4*f + 2*f + 2 - 2 + 3*f.\nAnswer: -18*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -4*a**3 + a**2 - a + 1. Suppose 0 = 5*l + 15, 3*l = -5*f + 2*l + 2. Let h be -1*(-2 - (0 - f)). Calculate q(h).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that 4*c**3 + 2244*c**2 - 11584*c - 149424 = 0.\nAnswer: -566, -6, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wa when two letters picked without replacement from awaa?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1*5\/(15\/(-6)). Suppose -g*y + 6*y = 2*w - 2, -5*y - 2*w = -20. List the prime factors of y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3\/4, -4, 1\/14, 1\/3, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p**3 - 14*p**2 - 141*p - 47. What is g(-6)?\nAnswer: 79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 1, x: 1, y: 2, q: 1, i: 2}. What is prob of sequence iqyi?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 9\/((-225)\/80) - (-8)\/2. Which is the nearest to 2? (a) 3 (b) v (c) -1\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.2 (b) 2\/29 (c) -81 (d) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i*i**(-2\/13))\/i**(3\/8)*(i**2\/i)\/(i**(-2\/23)*i)*((i*i*i*i*(i**0\/i)\/i*i)\/(i**(-3\/4)*i))**32 assuming i is positive.\nAnswer: i**(214223\/2392)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2912812*h**3 + 2912816*h**3 + 2912813*h**3 - 8738457*h**3 + 0*h**2 + 0*h**2.\nAnswer: -16*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g = -3*u - 14, 5*u + 17 = -0*g + 2*g for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10\/((-11880)\/(-11))*3?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v + 30 = -5*g, 7*v + 2*g + 23 = 4*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 1437*s**3 - 10*s**2 + s + 8. Is n(2) a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + 1 - 44\/(-28)?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -4.47 times 0.142\nAnswer: -0.63474","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(304)\/(sqrt(8)*4 - sqrt(8)))\/sqrt(2).\nAnswer: -sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/1 + (210 - -5). Suppose 126 = 4*w - u. Suppose 2*n - 60 = -5*t + t, 4*n = -t + w. Calculate the highest common factor of n and 30.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 45816442?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 26\/17 and 77\/5850?\nAnswer: 99450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -0.136 (b) -4 (c) 1 (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -72 - -72.06. Let i = h + -0.05472. Round i to three decimal places.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 43, 80, 149, 256, 407, 608, 865, 1184?\nAnswer: 1571","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*s**5\/5 + 572*s**4\/5 - 6216*s**3 + 154840*s**2 - 1612100*s + 3601500.\nAnswer: -4*(s - 35)**4*(s - 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q**3 - 2*q**2 - 26*q + 80. What is the hundreds digit of k(13)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 117 and 1521.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -26*x + 967. Give p(39).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 459213.5l?\nAnswer: 459213500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 59\/24 and -22\/201?\nAnswer: 1608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-95)\/20*8\/(-2). Suppose -5*w + 76 = 3*q - 4*q, -w + 4*q = -b. List the prime factors of w.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - (0 + 3 - 5).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 127.076453 rounded to 2 decimal places?\nAnswer: 127.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.02 - -2.98. Suppose -8*k = -3679 + 479. Let a = -402 + k. What is the smallest value in a, -1\/3, m, 1?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -43199 + -292?\nAnswer: -43491","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 6 - 1 = 0. Put 4, 5, r in decreasing order.\nAnswer: 5, 4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*b + 1 + 3. Solve -b*w = g - 13, g + 0*w - 17 = -3*w for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 27702*q**4 - 4*q**2 - 39*q + 11?\nAnswer: 664848*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y + c - 24 = 0, -120*c = 5*y - 123*c - 49 for y.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*m**4 + 3*m**4 - m**4 - 3*m**4 + 2*m**4 - m**4 + (m**2 + 2*m**4 - m**2)*(0 + 1 - 2) - 191*m**4 + 33586*m**2 - 33586*m**2.\nAnswer: -197*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in fourty-three halves of a millennium?\nAnswer: 21500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 1626*f**2 - 17*f + 66. Let i be d(-14). Round i to the nearest one hundred thousand.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -24653, -47338, -70023, -92708?\nAnswer: -115393","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hchc when four letters picked without replacement from {h: 3, d: 9, c: 4}?\nAnswer: 3\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 26 = -27. Solve 26 = 3*s - 4*g, i = -2*s - 2*g + g for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 331*a + 14*a = 69000. What is the highest common divisor of 3320 and a?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 36901975 and 12100?\nAnswer: 3025","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1156.4 - -977. Let g = t - -200. Round g to zero dps.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((14 - 5*w - 14)*(-6*w**2 + 3*w**2 + 2*w**2) + 0*w - 2*w**3 + 0*w)*((0 - 2 + 0)*(-4 - 4 + 3) + 0 - 2 + 0).\nAnswer: 24*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -17\/324 and 101\/17064?\nAnswer: 51192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (8 + -1 + -7)*2\/(-4). Suppose x*n - r = -4*n + 1881, 4*n + 5*r - 1875 = 0. List the prime factors of n.\nAnswer: 2, 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 2.8 and 5444.67198?\nAnswer: 5441.87198","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1850, -1839, -1814, -1769, -1698, -1595, -1454?\nAnswer: -1269","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -770 divided by 5\nAnswer: -154","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 254322815, 254322810, 254322801, 254322788, 254322771?\nAnswer: 254322750","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3327 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -9*h**2 + 828*h. Let l(y) = -8*y**2 + 827*y. Calculate -7*l(x) + 6*z(x).\nAnswer: 2*x**2 - 821*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1526 is divided by 1526.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2402 - 2397. What is the nearest to 5 in -3, 0.08, k, 0.4?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 152751, 152753, 152757, 152763?\nAnswer: 152771","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9*2\/(-28)*-105*38\/(-3420).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i**2 + 7*i + 9. Let z be h(-7). Calculate the highest common divisor of 3 and z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -48 times 4\nAnswer: -192","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -5188801 minus 0.453?\nAnswer: -5188801.453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 38039722 and 364.\nAnswer: 989032772","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*z**4 - 181*z**3 + 308*z**2 - 124*z.\nAnswer: -z*(z - 1)*(z + 62)*(3*z - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 + a - 2 - 3 + 247*a + 696*a - 500*a + (-2*a - a + 2*a)*(1 + 0 + 1) - 5*a + 0*a + 3*a + 0 + 2*a + 0 to m + k*a and give k.\nAnswer: 442","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/((d\/(d\/(d**(-4)\/d)))\/d*d*d*d)*d*d)**31 assuming d is positive.\nAnswer: d**186","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 235122, 470248, 705374, 940500, 1175626?\nAnswer: 1410752","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.094? (a) 2 (b) -19\/3 (c) 4481\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b**2 - 4*b + 10. Let x be f(4). Solve 2*u = 4*y - x, 6*y - 26 = -2*u + y for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -77.43768 + 0.10768. Let t = -77 - m. Let r = t - 0.3287. Round r to three dps.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**20\/z)\/z**(6\/17) assuming z is positive.\nAnswer: z**(317\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 1. Let s(l) = 21*l - 28. Let b(j) = 42*j - 48. Let x(o) = 4*b(o) - 7*s(o). Calculate -4*q(w) + x(w).\nAnswer: 21*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5584 + 5583. Which is bigger: 2\/3641 or z?\nAnswer: 2\/3641","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 1174 - 3*q**3 + 6*q**2 - 4*q - 7*q + 4*q**3 - 1196. Calculate the remainder when w(-4) is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 105 and 60.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 2*g**3 + 408*g**2 - 4*g - 653. Calculate v(-204).\nAnswer: 163","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z**3 + 148*z**2 + 1396*z + 183613. Determine u(-147).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 46*y + 4 - 31*y - 4.\nAnswer: 15*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -3, 22, -1, -0.1?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f - 12. Suppose 0 = 5*y + 4*c - 62, -2*y = -5*y + 4*c + 18. Give m(y).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 18193732, 18193733, 18193734, 18193735, 18193736?\n\"Answer: o + 18193731","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3)\/5 - (-7)\/((-35)\/(-18)). Let m = -3 - 2. Let d be (-20)\/(-50) + -4*12\/m. Solve a = -h*s + d, -a - 1 = -s + 1 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34565753 is divided by 33.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 229219975?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -58.59 in 5\/12, 1, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 633?\nAnswer: 3, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r when two letters picked without replacement from rrirrrrrrririrr.\nAnswer: 22\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -5, -13789, -41 in ascending order.\nAnswer: -13789, -41, -5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -43*h + 387. Let t be v(9). Solve -7*c + 8*c + 3*w + 4 = 0, t = -2*c - 4*w - 4 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 1, m: 2, n: 1}. What is prob of picking 4 w?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 113?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 2, f: 2, g: 3, k: 3, v: 3, o: 1}. Give prob of picking 2 v and 1 g.\nAnswer: 9\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 164*d**3 - 4*d**2 - 29*d + 108. Is f(5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (24 - 15 + 61)*(-6*g**4 + 6*g**4 + 13*g**4) + g**4 - g**4 + g**4 to the form k*g**3 + b + f*g**2 + x*g**4 + t*g and give x.\nAnswer: 911","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 441627*z**2 - 443241*z**2 - 3*z + 3*z.\nAnswer: -1614*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + i - 45 = 14, -67 = -p - 3*i. Let g be (-13636)\/(-22) - (-10)\/p. What is g rounded to the nearest 100?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -4*m, -4*m - 60 = 2*k - 102. Suppose k*h = 26278 + 59589. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.1, 4.4, 0, 1.9, -0.4, -14, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of (-273)\/(-3) + (2 - 4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1419 and 99201?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.09 times -1061765?\nAnswer: -95558.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1216 in -15, 22, -2\/17?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 2*u + 3. Calculate s(-10).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-63)\/(-2) + -2)*-2. Let d = -231 + 322. Let t = n + d. What is the tens digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 2*u. Let o(s) be the first derivative of 0*s**2 - 8 + 1\/3*s**3 + 0*s. What is y(o(h))?\nAnswer: 2*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*m**4 - 5*m**4 + 4*m**4)*(-15*m - 6*m + m).\nAnswer: -20*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*q - 4*t - 123588, 12*t - 8*t + 92698 = 3*q. What is the ten thousands digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide (-103 + 100)\/((-3)\/28654)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/2 + 1\/2. Suppose m = 3*x - 12, 216 = 5*q + 2*x - 187. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 983025698?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.2 + 0.2. Let h be 2\/(-2)*-1*1. Let m be (1 + 0)\/(3 + h). Sort m, -0.2, j in ascending order.\nAnswer: j, -0.2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 4\/(-2)*(-115)\/(-24) and 402\/(-40)*(-6)\/(-18).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 136 to the power of 1\/3, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -726 = -36*v + 40900 + 77174. Calculate the greatest common divisor of 24 and v.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1555\/456 + 27\/8. Let h = 11635 - 11635. Is g > h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 181, 312, 423, 508, 561, 576?\n\"Answer: -y**3 - 4*y**2 + 150*y + 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 5, 22, 49, 86, 133, 190?\n\"Answer: 5*a**2 + 2*a - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.004620030575 rounded to 5 dps?\nAnswer: 0.00462","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 119 and -1.9?\nAnswer: -226.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zwnwddwoznnzzw. Give prob of sequence zw.\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2\/2027 + 245279\/12162. Let x = 119\/2 + -70. Find the common denominator of r and x.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4874447 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 24, 36, 62, 108, 180?\nAnswer: 284","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 63486?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: ((-320)\/(-6))\/20*9\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*r + 4*c - 196, 3*r + 0*c - 349 = 5*c. Suppose 3*i - 3*w + 15 = 1494, -2 = -w. Does 18 divide ((i\/10)\/9)\/(3\/r)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -3*y - 49. Give g(-21).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:21 AM and 7:43 AM?\nAnswer: 322","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -101\/72 and 59\/144.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(255)\/(sqrt(10)\/sqrt(2)) - (sqrt(306)*2)\/sqrt(6))\/(sqrt(9)\/sqrt(3)*-6 + (sqrt(12)*-2)\/sqrt(4))*-5.\nAnswer: -5*sqrt(17)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 78.71165 nanometers in kilometers?\nAnswer: 0.00000000007871165","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 1953?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -122101 + 2?\nAnswer: -122022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -14.32311994 to two dps.\nAnswer: -14.32","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 - 21 - (1 + 1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2 + -1. Let m(z) = 1 + 4 - 13*z - 6. Let w(h) = -27*h - 2. Let o(j) = 5*m(j) - 2*w(j). What is o(c)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -336, -396, -456, -516?\nAnswer: -576","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4 + 0. Suppose 5*q + 24 = -4*i, -q + t*q = -4*i - 24. What is the units digit of i*1*3\/(-9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5 - -16. Let a = 32 - o. Sort a, 0, 1 in decreasing order.\nAnswer: a, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -36 (base 16) to base 7\nAnswer: -105","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(140))\/((sqrt(210)\/sqrt(6))\/sqrt(5)) + -3)**2.\nAnswer: -24*sqrt(5) + 89","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = 4*c - d, -4*d + 914 = 918 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 7*q**3 + 2*q**2. Let i(x) = -x**3. Suppose 2*k + 2*a + 3*a = -24, -k + 6 = -2*a. Give k*i(t) - c(t).\nAnswer: -5*t**3 - 2*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 38794690 and 70.\nAnswer: 271562830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*y**2 + 2*y**2 - 2*y**2)*(-7*y**2 + 3*y**2 - 9*y**2)*((y - 4*y + 2*y)*(3 - 4 - 2) + 0 + 0 + 2*y).\nAnswer: -130*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -377 - -390. Calculate the remainder when 83 is divided by a.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3542 and 300794.\nAnswer: 23161138","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5235\/(-5933)*(-68)\/4?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 233 times 9\nAnswer: 2097","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 47562 and 60?\nAnswer: 475620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = -v - 117*t + 114*t, t = 0 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.3 - -0.2. Suppose 0 = -2*y - k - 1, 4*y + 26 = 4*k + 6. Let n = 1 + y. Put 5, p, n in ascending order.\nAnswer: n, p, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -44853484.1 - -436.3\nAnswer: -44853047.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5543033?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((1 + 2 - 1)*(-26 - 4 - 24)*(255 - 113 - 76) + (0 + 2 - 3)*(1 - 2 + 0))*(4*f - 3*f - 1 - 2*f) to n*f + l and give n.\nAnswer: 7127","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2046 + -2038. Solve 8 - i = -7*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4\/(-22) - (-22725)\/2475. Put y, 3, -1, 4 in decreasing order.\nAnswer: y, 4, 3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the first derivative of 173*n**5\/20 - 92*n**3\/3 - 119*n + 94. Let p(u) be the first derivative of g(u). What is the second derivative of p(k) wrt k?\nAnswer: 1038*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (50\/15)\/5*3\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of ((-240)\/25)\/(609\/(-300) + 2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -126.55 + -0.05. Round y to the nearest integer.\nAnswer: -127","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -0.5, 0.4, 0, 1, -1\/9, 24963?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -27*l + 17*l + 12*l + 0*l - l + 3*l + (0*l + l + l)*(-2 + 3 + 1) + l - 4*l + 2*l as d + h*l and give h.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4, 0, 4\/3, -207?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 16.67715l in millilitres?\nAnswer: 16677.15","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.4 + 1.37. Round j to one decimal place.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 + 7 + 5 + 1 - -1?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1601726 is divided by 234?\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 55\/124257 and 79\/63.\nAnswer: 372771","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 90013939, 180027877, 270041815, 360055753?\n\"Answer: 90013938*x + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((96\/(-30))\/8)\/((-7)\/5)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 52?\nAnswer: 52","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o - 25 = -v - 24, 2*o + 13*v - 58 = 0 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 17847 and 106816278?\nAnswer: 1983","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.2*-6.876.\nAnswer: 8.2512","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i**2 + 104*i - 2195. Let n be g(-122). Suppose -4*f + 6*f = 10. Let k be 12\/(-10) - (-1)\/f. Sort n, 0, k, -4 in ascending order.\nAnswer: -4, k, 0, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the first derivative of 81\/4*a + 39\/4*a**2 - 1\/4*a**3 - 30. Factor k(p).\nAnswer: -3*(p - 27)*(p + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -26 + 26 - 119*v to w*v + f and give w.\nAnswer: -119","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d**2 - d + 1. Let j be n(2). Suppose 5*y = t + 153, -j*y + 8*y - 5*t - 145 = 0. What is the tens digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 647 - (32\/14 + 14\/(-49)). Let l = -643 + c. Sort l, -10, 6 in decreasing order.\nAnswer: 6, l, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 47224*t**3 - 142205*t**3 + 47481*t**3 + 47498*t**3.\nAnswer: -2*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 + -11 + -8 - (1 + 27)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u - 19 = 2*z, -4*z + 433*u = 438*u + 13 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1331) + 1 + sqrt(1331) - sqrt(11))**2 - sqrt(11)) + (sqrt(99)\/(sqrt(36)\/sqrt(4)))**2.\nAnswer: 41*sqrt(11) + 4863","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.1 and 6.34.\nAnswer: 0.634","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 6 (b) 0.5 (c) 54616\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:51 AM and 1:11 PM?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the first derivative of 3\/20*k**2 + 1\/5*k + 1\/30*k**3 + 12. Factor f(j).\nAnswer: (j + 1)*(j + 2)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 595075 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**2\/4 - 2505*x\/2 - 6275025\/4.\nAnswer: -(x + 2505)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 52 - 75. Let b = g - -23. Let c = 1.145 - 0.145. What is the third biggest value in c, -2, b?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 10712 + -10709. Put p, 7, 110 in descending order.\nAnswer: 110, 7, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1425.17 and 2.\nAnswer: 2850.34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -12*b - 3. Let v be c(5). Is 164\/6*v\/(-14) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7 + 21 - (-18)\/((-162)\/(-9))*0\/2\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(2057)*-1*5 + -5)**2.\nAnswer: 1100*sqrt(17) + 205725","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (13 + 1)*(-2)\/(-4). Let z = c - 3. Solve -r - z = r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(((sqrt(600)\/(sqrt(50)\/sqrt(5)))\/(6*(sqrt(12) - sqrt(12)*-2)) + -1)*4)**2.\nAnswer: -64*sqrt(5)\/9 + 5264\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3 - -56. Suppose -25*i + 0 = -350. Calculate the remainder when j is divided by i.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the first derivative of 389*z**5\/5 - 1297*z**2 + 1638. What is the second derivative of a(x) wrt x?\nAnswer: 4668*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g - 23. What is w(-25)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 134?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 249\/9 - (-3)\/9. Let h = -4\/29 + 49\/145. What is the biggest value in g, h, 0.5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -78 = 2*i - 98. Let k be i*(-2 - 15\/(-6)). Suppose -k*o = 2023 - 44118. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3\/(-1)*(-3)\/(-1). Let d(l) = -3*l**2 + 17*l - 4. Let f be d(5). Which is the biggest value? (a) f (b) -5 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00001291569403 to 7 decimal places.\nAnswer: 0.0000129","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 541 and 8.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 1 = 71. Suppose -4*c - 5*a + u = -1, 3*c = a. Let n(b) = b - 1. Let j be n(c). Solve j*x = 2*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -2*i**2 - 5*i - 5. Let w(g) = 6*g**2 + 16*g + 16. Let f = 37 + -34. Let r be (16\/(-6))\/(f\/(-18)). Calculate r*o(u) + 5*w(u).\nAnswer: -2*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -5, -13, -237367 in decreasing order.\nAnswer: -4, -5, -13, -237367","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**0)**(-1\/83) assuming q is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 - 1. Let n be y - ((-708)\/(-9) - 0). Let d = n + 76. Sort d, 1\/5, 0.\nAnswer: d, 0, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -84.47?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*z + 3*z + 3*z + (-3*z + 0 + 0)*(1 + 3 - 7) + (0*z - 2*z + z)*(-1 + 2 - 2).\nAnswer: 12*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/4*(-20)\/(-5). Solve -y = -1, -2*f - 4*y + r = -6 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 333875\/58 or 5756?\nAnswer: 333875\/58","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 16*p**2 + 11*p + 11. Let x(n) = -3*n**2 - 2*n - 2. Let l(c) = 11*x(c) + 2*y(c). Let r(f) = 15*f**2. What is l(r(j))?\nAnswer: -225*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 25 and 145075.\nAnswer: 145075","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g**2 + 10*g - 3. Calculate the remainder when z(5) is divided by -9*6\/(-9) - -2.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11111 + 111101101001011?\nAnswer: 111101101101010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -320402 + 4?\nAnswer: -320398","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o**2 + o + 4. Let x be a(0). Let q(z) = 3 + z**3 + 0*z**3 - 6*z - 2*z**3 + 5*z**2. Calculate q(x).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 + 0)*(-766*q**2 + 20*q**5 + 766*q**2 + (-q**4 - 6*q**4 + 5*q**4)*(4*q + 0*q - 6*q) + q**5 - q**3 + q**3 - q**5 - q**5 + 5*q**5).\nAnswer: 56*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 354 minutes before 7:41 AM?\nAnswer: 1:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w**3 - 2*w**2 - 4*w - 2. Let n be h(-1). Let z = 8 - 9. What is the closest to n in 0.04, 3, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2*((-10)\/(-6) - 34\/51). Put 1, 0, m, 4 in descending order.\nAnswer: 4, m, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (10*g - 55 + 4*g - 17*g)*(0 + 0 + 2*g)*(-2 + 2 - 1) - 2*g**2 + 3*g**2 - 3*g**2 as d + m*g + r*g**2 and give m.\nAnswer: 110","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2 + 3\/2)*-4. Let n = 184 - 163. Suppose k*a - 5*v + 21 = 4*a, 0 = -5*a - 2*v + n. Solve a*c - d + 5 - 4 = 0, 0 = -5*d - 25 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(180) - (sqrt(180) - sqrt(180)*2)*-3)\/(sqrt(192)*2))\/((-2*sqrt(4000) + sqrt(4000))\/(sqrt(80)\/(sqrt(30)\/sqrt(3)))).\nAnswer: sqrt(3)\/40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 171, -66, -271, 0 in ascending order.\nAnswer: -271, -66, 0, 171","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -14 + 9 - ((15 - 52) + 8)\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -12, -2, 4 in increasing order.\nAnswer: -12, -3, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 8\/(-5) - 18\/45. Let k be (-1)\/2 - 1\/v. Suppose 0 = -k*y - y + 3. List the prime factors of y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28583726251 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -43602224 (base 7) in base 6?\nAnswer: -212203215","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1008 divided by -252\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s + f + 16 = 0, 126*s - 131*s = -f + 24 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 115880447 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m**3 - 148*m**2 + 8440*m - 1504. Calculate x(-192).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = c**3 + 42*c**2 - 455*c - 26. Let q be t(9). Suppose -3*l + 5 + 1 = 0. What is the greatest common factor of l and q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 474395?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 111*h - 1. Let a be m(2). Suppose -108*k + 104*k + 2*r + 58 = 0, 0 = -12*k + 3*r + 189. What is the highest common factor of k and a?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -13*o - 1. Let a(h) = -5*h - h + 3*h. Let d(w) = -w**3 - 2*w**2 - 2*w - 5. Let k be d(-2). Let t be 0 - ((-4 - -3) + k). Calculate t*i(l) - 9*a(l).\nAnswer: l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 9129\/14 or 652?\nAnswer: 652","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 + 1045\/(-50) - 1?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2315519 is divided by 121?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 6 - 2 = 0, 2*r - 4 = -4*u. Let q(l) = -10*l**2 - l. Let n(j) = j**2. Give r*n(g) + q(g).\nAnswer: -4*g**2 - g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x - 110 = 20*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2561473 + -74289968\/29. Let m = i + 250. Let c = -92\/145 - m. Put c, 5, -1.8 in descending order.\nAnswer: 5, c, -1.8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 58090\/6105 + (-22)\/3\nAnswer: 24\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1299547 and 160.274?\nAnswer: 1299707.274","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -993 divided by 140?\nAnswer: -993\/140","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-c - 1 + 1)*(-c**3 - 2*c**3 - 2*c**3)*(-4 + 2 + 3) to the form a + f*c**3 + s*c**2 + x*c**4 + n*c and give x.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2330 is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 355269 to the nearest integer?\nAnswer: 596","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -585932\/117 - -5008. Suppose -5 = -21*v + 3 - 8. Is u greater than v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -51105 divided by -3\nAnswer: 17035","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (r**4 - 4*r**3 + 4*r**3)*(-11 - 414 + 50)*(-4 - 3 + 5) to the form m*r + x + u*r**2 + y*r**4 + o*r**3 and give y.\nAnswer: 750","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2555546501 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-108)\/(-54))\/(2*(-1)\/(-3)). Let p(a) = 27*a**3 + 4. What is the hundreds digit of p(d)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2165096?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 259850356 is divided by 379.\nAnswer: 376","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 1178 = 5*p + 7904, p = 3. Which is bigger: -6740 or o?\nAnswer: -6740","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.124284 + 1284.\nAnswer: 1283.875716","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 0 + 112002021102121?\nAnswer: 112002021102121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 5*o - 10. Let k be b(2). Let r be (k + -1)*(-4)\/(-12)*-15. Let p(l) = 4*l - 3 + 2*l - 5*l. Determine p(r).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*y + y + 3*f + 26 + 1 = 0, y = f + 1 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(3\/(-2) - 84\/(-48)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -13*x + 6. Let u(m) = -1820*m + 1225. Let q(j) = 21*j - 14. Let v(p) = -175*q(p) - 2*u(p). Give v(c(n)).\nAnswer: 455*n - 210","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5433232579.\nAnswer: 97, 56012707","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -54, -118, -190, -276, -382?\nAnswer: -514","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 31\/522 and -85\/4566.\nAnswer: 397242","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = 3*r - 6. Suppose -r*g - 12 = 2*p - p, 3*p - g = 4. Suppose -2*n + o + 260401 = p, 5*n - 4*o = -o + 651003. What is n rounded to the nearest 10000?\nAnswer: 130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and -3\/8008 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.1 - 0.1. Let f = -50 - -48. Let y = 53.6 - 54. Which is the closest to f? (a) -1 (b) y (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (24 - 0) + (27 - 52) + 24.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -226 + (23 - -210) + (33 - 1)?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e, 2 n, and 1 u when four letters picked without replacement from uuneuuuunuenuuftu?\nAnswer: 3\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20274 is divided by 137.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2912 + 2915. Put -5, a, -2, 20 in descending order.\nAnswer: 20, a, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*k = -17*k. Suppose k = y - 5*i - 73, -2*y - 2*i + 137 = -3*i. Round y to the nearest ten.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the third derivative of o**6\/120 + o**5\/6 + o**4\/3 + o**3\/6 - 3*o**2. Let u be s(-9). Let d be (-4)\/1*(-2)\/u. Sort -6, 5\/3, d.\nAnswer: -6, d, 5\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 1107*y**3 - 15*y**2 + 10. Let m(j) = 326565*j**3 - 4428*j**2 + 2952. Give -1476*g(n) + 5*m(n).\nAnswer: -1107*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -25 + 26. Which is the nearest to i? (a) 2 (b) 0.3 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 13311252514 + -1?\nAnswer: 13311252513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*k**2 - 43 - 5*k + 43 + (0 + 6*k + 0)*(-2*k + k - k).\nAnswer: -9*k**2 - 5*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j and 2 i when four letters picked without replacement from {h: 2, j: 9, d: 5, i: 3}?\nAnswer: 9\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = 3 - 5. What is the units digit of h\/(3\/9)*2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1390028*v + 1390031*v + 39*n = 60, -4*v - 16 = 4*n for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -577, -2218, -4947, -8758, -13645, -19602, -26623, -34702?\n\"Answer: r**3 - 550*r**2 + 2*r - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6\/9*(-1254)\/9. Let x = k + 93. What is the nearest to -0.2 in -0.5, x, -0.6?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) 3 (b) -23.614 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 23 = -4*l + 57, 3*l + g - 60 = 0. Solve -2*x + 2*h = -l, -26 = -5*x - h - 6 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = -t + 6068. Let n = t + 60767\/10. Let c = -1060\/11 - -19619\/198. Find the common denominator of c and n.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5*(-7)\/(-175))\/((-21)\/14)?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13098692 divided by -3274673?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/(-13) - (-212)\/(-26) - -5. Which is the nearest to 1? (a) p (b) -2\/43 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 10629 = 2*x, -5*x - 2*s = 2*s - 26555. Let m = x + -2036. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 97?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -345*b**3 - 437*b**2*f + 63*b**2 - 116*b*f - b - 49*f + 41 wrt b?\nAnswer: -2070*b - 874*f + 126","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-126 - -126)*(-1 + 0).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1121202 - 22110110?\nAnswer: -101002012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -74537*y - 74536. Determine l(-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x**3 + 3*x**2 - 3*x - 1. Let h be p(-2). Let c = -17 - -19. Let v be -16*(0 + -1)\/c. Which is smaller: v or h?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + (-7 - -17) - (-9 + 0 + 1).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 12182?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n = 18 - 58 for n.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -6, -127, -448, -1065, -2074, -3571?\n\"Answer: -16*y**3 - 4*y**2 + 3*y + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 24 - 71\/3. What is the nearest to 2\/5 in 0.4, x, 3\/7?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 2, j: 1, e: 2, v: 1, s: 1, n: 1}. Give prob of sequence eve.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6030 = 17*w - 532. Suppose 1704 + w = 5*n. What is the highest common divisor of 38 and n?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ppp when three letters picked without replacement from wpd?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 19939415 to the nearest integer?\nAnswer: 271","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -3*(-3 + 20\/(-6)). Calculate the greatest common divisor of 76 and b.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(520) + -4*sqrt(520))\/sqrt(10) - sqrt(52))\/sqrt(4) + 2 + -1.\nAnswer: -4*sqrt(13) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -1. Let p(c) = 31*c + 1. Calculate 2*j(r) + p(r).\nAnswer: 31*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-174)\/9)\/((-4)\/6) is divided by 2\/(-8) + 147\/12 + -2?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**2\/2 - 4611*c\/2 - 4613.\nAnswer: (c - 4613)*(c + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b**2 - 11*b - 10. Let j be v(-11). Let s = j + 32. What is the units digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 62.029 + -0.029. Let a = w + -58.67. Round a to one dp.\nAnswer: 3.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2 + 6592?\nAnswer: 6590","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 76, -45, -168, -293, -420?\n\"Answer: -o**2 - 118*o + 195","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 + 18)\/3 + (-3)\/3.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -92236*x**2*y**4 - 616*x**2 + 3*x*y**2 - 3*x - 25 wrt y.\nAnswer: -368944*x**2*y**3 + 6*x*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = -333 + 128. Let y be 0 + 4 + (-3)\/3. Suppose 0 = -y*x - 4*r + 30, 4*r = -5*x + 19 + 39. What is the remainder when n is divided by x?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (0 + -2)\/((-4)\/2). Let o be (-2)\/(-44)*(g - 2). Let z be 0*(1 + -1 + 1). Is o < z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = 5*b, -3*p = 2*b + 6 + 37 for p.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.2 - 0. Suppose -6*t + 4*t = 2, -3*d = 4*t + 4. Sort 0.4, s, d in ascending order.\nAnswer: d, s, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 2 = 3*j, 4*r = 2*j + 12. Is (-8)\/16 + 50\/r a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3\/(-18)*-10*3. Suppose h = -3*t - 1. Let f = 5 - t. Is 4 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by -360?\nAnswer: -1\/72","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36 = 12*p - 24 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -105 + (-108 + -56 - -376).\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -115\/150304 and 119\/24288.\nAnswer: 10370976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 106464?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k - 3. Let r be b(-6). Let v(y) = -2*y**2 + 2*y + 3. Give v(r).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4.35 - -0.75. Let i = -22 + u. What is i rounded to 0 decimal places?\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11669 (base 10) to base 15\nAnswer: 36ce","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*g - 12*g = 455764. Let t = g + -1641. What is t rounded to the nearest ten thousand?\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 4*u + 34 = 0, -n + 0*n + 6 = 3*u. Is n equal to -6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 978, 698, 232, -420, -1258, -2282?\n\"Answer: -93*t**2 - t + 1072","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -18 + 22. Suppose -t*z - 143 = -23. What is the units digit of 7713\/135 + 4\/z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 978 + -1009 - (-81 - -6)?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0 and 214?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 80*u**4 - 7906*u**3\/3 + 14406*u**2 + 2548*u\/3 = 0 for u.\nAnswer: -7\/120, 0, 7, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 492, 5, 3, -24, 283 in ascending order.\nAnswer: -24, -5, 3, 5, 283, 492","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -202 - -307. Does 13 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 8034 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1186 - -2045. What are the prime factors of r?\nAnswer: 859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 25533?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 8332 less than or equal to 8332?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/8 + (-707)\/(-28). Suppose 2*a = -2*v + 20, a - 4*v + p = 2*a. Suppose -a*o - 15 = -10*o. Solve 0*g - o*g + 9 = 0 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 60*m**3 - 2*m**2 + 8*m**2 - 72*m**3.\nAnswer: -12*m**3 + 6*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -42 + 5?\nAnswer: -3a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4)\/3 + (49959\/1358)\/13. Let b = 1\/291 + k. Factor b*i + 1 + 1\/2*i**2.\nAnswer: (i + 1)*(i + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 25039.1km?\nAnswer: 25039100000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -37\/216 and 85\/1376028.\nAnswer: 2752056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 224840 a multiple of 280?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 18812574 and 24174.\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9869.6 - 9870. Put -25, -0.07, s, -2 in decreasing order.\nAnswer: -0.07, s, -2, -25","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 10 + -5. Let m = 9 - t. Let a**3 + 0*a + 1\/2*a**2 + 0 + 1\/2*a**m = 0. Calculate a.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 57 divided by -1790?\nAnswer: -57\/1790","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-15)\/(-55))\/((-2110)\/(-32494))?\nAnswer: 21\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jrrjr. Give prob of picking 2 j.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 924?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -55764 take away 0.090281?\nAnswer: -55764.090281","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 v when two letters picked without replacement from {v: 1, n: 2}?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -49*v + 5930. Calculate the remainder when 838 is divided by w(104).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-39)\/v*v**41*((v*v**(-28))\/v)\/((v\/(v*v\/v**17))\/v) assuming v is positive.\nAnswer: v**(-42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -18599*s**3 + 1000*s**2 + 6.\nAnswer: -111594","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -4*h + 1. Let v be m(-1). Suppose 5*b + x = 2*x + 77, x - 58 = -4*b. Let g = b + -13. Solve -2*d + v*k + 20 = 0, 2*d - g*k - 13 = 1 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1973\/39 - 131\/13. Let t = -61 - y. Which is the biggest value? (a) t (b) -1 (c) 12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.078, -0.06, 3319 in ascending order.\nAnswer: -0.06, 0.078, 3319","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 675 divided by 199\nAnswer: 675\/199","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the second derivative of 5*k**3\/6 - k**2 - 217*k. Let t(x) = 14*x - 6. Give -2*t(y) + 7*u(y).\nAnswer: 7*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at most as big as 10\/54789?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 30 and 36?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -3, 1, -0.4, 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the first derivative of -2*d**3 - 98. Let a(f) = f**2. What is r(a(v))?\nAnswer: -6*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2957250 + 1037335. Suppose -3*t = 805415 + b. Round t to the nearest 1000000.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -1626698*p - 14640288. Give x(-9).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b**3 + 0*b - 5*b**2 - 3 + 4 + 0*b. What is w(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the second derivative of -k**7\/1260 - k**4\/3 - 3*k. Let u(i) be the third derivative of r(i). Let h(f) = f. Give h(u(t)).\nAnswer: -2*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve s - 63 = 5*c, -1073*c + 75 = 5*s - 1078*c for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f**2 - 1. Let t = -42 - -44. Suppose 2*d = 3*d - t. Let o be w(d). Solve 0*c - 6 = 2*c - 4*x, o = -c - 4*x for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 147872.\nAnswer: 2, 4621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -63 - -144. Let h = c + -73. Sort 5, h, 1 in ascending order.\nAnswer: 1, 5, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 144*d - 173*d - 245 + 13 = 0 for d.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 107 + -107.00048. What is c rounded to 3 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*u**2 + 2*u - 379 - u**3 + 379 in the form t*u + o + w*u**3 + f*u**2 and give f.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -268.8 to the nearest ten.\nAnswer: -270","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 12161983 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 10 - 6. Suppose k*b - 12 = -0*b. Let v(d) = 0 + d**2 - 3*d + 0*d**2 - 2 + b. What is v(2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 68 + -65.3. Let l = v + -2.7000031. What is l rounded to six dps?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 29*y - 160. Let f be x(6). Suppose -126 = -f*p + 210. Let w = 323 - 59. Calculate the highest common divisor of w and p.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.442*10188.\nAnswer: 4503.096","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1358728337 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4\/(-14) + (-14)\/(-49). Let m = 3 - n. Suppose 0 = 2*d - 3*j - 23, -5*d - m*j + 0*j = -5. Calculate the remainder when d is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*q**2*x**2 + 12717*q**2 - 91797*q*x**2 - 86*q*x - 3*x**3 wrt x?\nAnswer: -8*q**2 - 183594*q - 18*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*o + 2*o. Suppose o = -3*s - s - 72. Let z be (-3 + (-52)\/s)*-6. Which is the second smallest value? (a) 0.4 (b) z (c) 2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1552 + 2405. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*q**2 + 0 - 34*q**2 + 0.\nAnswer: -37*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 97*k = -231554 + 229905 for k.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -39519, -39679, -39949, -40335, -40843, -41479?\n\"Answer: -q**3 - 49*q**2 - 6*q - 39463","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the first derivative of 147*d**4\/4 + 133*d**3 + 588. Find the third derivative of b(n) wrt n.\nAnswer: 882","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25435660 a multiple of 2897?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2039.06 - -2039. What is the fourth smallest value in 0.1, -3\/40, 1\/9, v?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 108*y + 103*y + 118*y + 144*y - 700*y + 123*y + 103*y.\nAnswer: -y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the third derivative of -r**8\/13440 - r**7\/3360 - r**5\/15 + r**2. Let u(j) be the third derivative of m(j). Suppose u(s) = 0. Calculate s.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 - 5 = -4*w. Let l be 4*(-2 + w)\/(-1). Suppose -l*j + 1 = -3. Which is smaller: -1\/5 or j?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 155\/397956 and 41\/1716?\nAnswer: 4377516","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -43.02 times 2?\nAnswer: -86.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*w = -0*w + 48. Calculate the remainder when 39 is divided by w.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 316 + -315.33. Let d = 0.57 - l. Which is the third biggest value? (a) 1 (b) 1\/5 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -15*w + 168. Let z be q(9). Solve -36*k + z*k = -6 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 5*f - 8. Let y be h(4). Suppose -3*r + y = 0, 0 = -w - r - 0*r + 32. What is the units digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -885*u**2 - 878*u**2 - 878*u**2 + 2636*u**2.\nAnswer: -5*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*o + b + 22, -14 = -3*o - 3*b + 10. Let x be o + -2 - 2\/(-2). What is the first derivative of -1 - 5*a**x + 4*a**4 + 2 + 4*a**4 wrt a?\nAnswer: 12*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -304*d**2. Let x(q) = 4*q**2. Let y(m) = -g(m) - 152*x(m). Let l(c) = c**2. Calculate l(y(f)).\nAnswer: 92416*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 80*i - 1. Suppose 4*h - 6 = 10. Suppose h*g - 3*g - 1 = 0. Is o(g) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*o - 8*o + 36 = 0. Let p be -14 - -12 - (o + 0 + -1). Suppose 1 = 2*a + p*q - 13, -4*q = -4*a + 84. Solve -6*t - i = -t - a, 0 = 2*t - i - 4 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 169377 to the nearest integer?\nAnswer: 412","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -2*c - 1. Let x(v) = -1981*v**2 + 3*v + 17. Let j(h) = -4*m(h) - x(h). Is j(2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 minutes after 5:42 AM?\nAnswer: 5:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by 57\nAnswer: -2\/57","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 3 + 5 + (sqrt(539) - (sqrt(539) - (sqrt(539) + -2*sqrt(539)))).\nAnswer: -7*sqrt(11) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (3 + -2663 + -1)*(-10)\/30. Let o = 887 - c. Is -6 >= o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 times 28012567\nAnswer: -168075402","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -3.25*-18\nAnswer: 58.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 136 and 128656.\nAnswer: 128656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 32.74 - -12.26. What is the nearest to 2\/3 in 3\/5, 3, r?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d**2 + 9*d - 6. Let q be b(9). Let i(r) = -6*r - 1. Calculate the remainder when i(q) is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 102 and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -508 + 507.48. Let p = c + 0.59. Do -19 and p have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**4)\/t**(8\/5) assuming t is positive.\nAnswer: t**(17\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.2 - -0.4. Let l(t) = -2*t**2 - 2*t + 1. Let i be l(-4). Let o = -91\/4 - i. What is the second smallest value in m, 4, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 76, 3, 0, 4, -1.\nAnswer: -1, 0, 3, 4, 76","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y**2 - 29*y + 21. Let x be f(28). Let u(b) = b**3 + 7*b**2 + 5*b + 2. What is u(x)?\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*m**3 + 31*m**2 - 31*m**2 + 8*m**3.\nAnswer: -m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.0322 (b) 0.03 (c) 17 (d) -1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -33*w + 5. Let u(k) = 67*k - 9. Calculate 5*h(y) + 3*u(y).\nAnswer: 36*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 12\/(-4) - -15*1. Let k = -10 + m. Suppose 0 = -q + 38 + k. Is q a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -4*k**3 - k**2 + k + 1. Let f be r(-1). Let u(t) = t**3 + t**2 - 26*t - 12. Let c be u(5). Solve y + c = g + f*y, -4*g + 26 = 5*y for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.6*-3\nAnswer: -1.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/4591815 and -97\/5510178.\nAnswer: 27550890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**11\/(j**(1\/4)*j))\/(j**(-8)*j*j**(-7)) assuming j is positive.\nAnswer: j**(95\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -155119715306693 + 155119715306693 + 3*q.\nAnswer: 3*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -5*l - 28. Let v be j(-7). Suppose -2*y - 27 = v. Let o(f) = -215*f + 4. Is o(y) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, e: 5, h: 2, s: 6, n: 1, u: 1}. Give prob of picking 3 e.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c - 12479*a - 4 = -12484*a, -2*a = -c - 1 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vllvvvhvhlhl. What is prob of sequence vvl?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -5*y**2 - 2*y + 2. Let w(r) = r**3 - 5*r**2 - 3*r + 3. Suppose -18*p - 43 = 11. What is p*v(z) + 2*w(z)?\nAnswer: 2*z**3 + 5*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 39 = -5*s, -4*s + 2*t + 17 = -s. Let w be (-17)\/3 + s\/(-21). What is the units digit of 3\/3*3 - w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the third derivative of -w**4\/24 - 51*w**2. Let g be (15\/12)\/((-1)\/(-4)). Let h(y) = 4*y**2 + g*y**2 - 6*y**2 - 4*y**2. Calculate m(h(j)).\nAnswer: j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 2\/7, -73, 6, -3\/8, 1\/3, -2, 1\/2502?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -108, -175, -288, -447, -652?\n\"Answer: -23*f**2 + 2*f - 87","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7*p**5 - 7*p**2 + 118*p - 2 wrt p?\nAnswer: 140*p**3 - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (234\/15 - 17)\/((-6)\/(31 - 1)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -18899*a**3 - 8*a + 1964.\nAnswer: -113394*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 20754?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 11 (b) 1 (c) -0.4 (d) -16 (e) -3\/4 (f) -254 (g) -2\/17\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(448) - (sqrt(448) - 5*(sqrt(448) + 1)) - (-4 + sqrt(63)\/(-1*sqrt(9))))*-5)**2.\nAnswer: 18450*sqrt(7) + 296200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 4*m**3 + 4*m**2 - m + 8. Let h(n) = -6*n**3 - 7*n**2 + 2*n - 14. Let r(v) = -7*c(v) - 4*h(v). Let q = -12 + 11. Determine r(q).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 413649 or 413650?\nAnswer: 413650","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*d**3 + 1863*d**2 + 314352*d + 7622592.\nAnswer: 3*(d + 29)*(d + 296)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - w = 3*w - 18, -3*x + 4*w = 6. Calculate the common denominator of (-5 + (-54)\/12)*x\/5 and (-48)\/9*3\/(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let a = -2042 - -2017. What is the third smallest value in 2, 2\/5, a, -0.2?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o**3 + o**2 - o + 2. Let m be l(0). Suppose 6*x = m*x - 84. Let p = -6 - x. Calculate the remainder when 29 is divided by p.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3736?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 764 divide 385599204?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -28*m*n**2 - 105*m*n - 38859*m + 3*n**2 with respect to n.\nAnswer: -56*m*n - 105*m + 6*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*p**4 + 0*p**4 + 0*p**4)*(-976 - 98 - 1399 - 172).\nAnswer: 7935*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (189\/(-2835))\/((-4)\/(-10))*-7.\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 224616 to the nearest integer?\nAnswer: 474","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -3*c + 15. Suppose -d + 9 = -2*k, -2*d = 5*k - 0*k - 9. Let u be f(d). What are the prime factors of (u\/(-5))\/(12\/40)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1\/5 (b) -47 (c) 6 (d) 31\/116 (e) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 112618 less than 0.007?\nAnswer: -112617.993","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.1124 and -0.5.\nAnswer: -0.0562","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7 + 10. Let j(p) = p + p**3 - b*p**2 + 4 + 4*p**2 - 3. Let o = 3 + -4. What is j(o)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 3014 = x + 5*g, 11999 = 4*x - g. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ytktihiz. Give prob of picking 1 z, 1 y, and 1 k.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:46 PM and 6:04 AM?\nAnswer: 558","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 70416, 138322, 206228, 274134, 342040?\nAnswer: 409946","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 * 10.6.\nAnswer: 21.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Total of 97 and 8.\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 14*j**3 + 8*j**2 - 30*j + 8. Let l(o) = -35*o - 1117. Let r be l(-32). Let f(m) = -5*m**3 - 3*m**2 + 10*m - 3. Determine r*d(t) + 8*f(t).\nAnswer: 2*t**3 - 10*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6 - (-33)\/6)\/(-7*2\/(-12))?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - -1 - (4 + 5 + -5).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by -178618706\nAnswer: -5\/178618706","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -4*x**2 - 197*x + 546. Give b(-52).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 44981?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8 - 6 + 19 + 11 + 6 - 13*b.\nAnswer: -13*b + 22","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1040426 * 4.\nAnswer: 4161704","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -205*n + 177 + 474 = -169 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1170*x = 1186 + 1323 + 2171 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uujk when four letters picked without replacement from ijukuuiiuk?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 497*f + 8930. Determine t(-18).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 - (-11 + 14) - -7?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((sqrt(208)\/(6*sqrt(36)))\/((4*sqrt(196)*2 - sqrt(196)) + sqrt(196)))**2.\nAnswer: 13\/254016","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 83 (base 10) to base 8.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 6 + -4?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (5 - (7 + -2)) + -9 - -17\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-1 + (sqrt(17) - (sqrt(17) + -3)*-5)) + 1.\nAnswer: -6*sqrt(17) + 17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2083 a multiple of 75?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-50)\/(-125))\/((-541)\/(-270) - 2). Let v = g + -104. Factor -8\/3 + 2*i**2 - 2\/3*i**v - 4\/3*i**3 + 8\/3*i.\nAnswer: -2*(i - 1)**2*(i + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 45574632?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 55 and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -645*f + 633*f + 23844. What is the tens digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5 and -40.\nAnswer: -200","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -10*f + f**2 + 19*f - 9*f. Let z(m) be the third derivative of -1\/6*m**4 + 0 + 0*m + 0*m**3 + 3*m**2. Calculate z(j(y)).\nAnswer: -4*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 55*k**2 - 19*k + 9. Let i be z(1). Calculate the greatest common factor of i and 35.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -72 divided by -1\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 15723047 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 8 = 4*g - o, -2*g - 8 = 3*o. Let s be 5\/(1\/2*2). Let v(t) = -2*t**3 + 5*t**3 - 2*t**3 + 4*t**2 - 2*t - s. Determine v(g).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1725.1938 seconds?\nAnswer: 28.75323","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = d - 41 + 5, -32 = -2*d - 2*o. Suppose w + 4*w - d = 0. Determine g, given that -7*g + 0*g + 7*g - w*g**2 = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.006223529209 to three decimal places.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 32 and 3176.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hqhphhnqhpyhqhhpph. Give prob of sequence ynh.\nAnswer: 1\/544","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 284 is divided by 57?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2443061 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 16*q**2 + 8*q + 208. Let l be v(-19). Suppose -2*b = 8, 2*o - 6*o = b - l. What is the hundreds digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oxrr. What is prob of picking 2 r?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 21 - 2*k + k - 4*k. Let o(q) = -2*q + 7. Let j(a) = -7*o(a) + 2*s(a). Let w(y) = -3*y + 6. Suppose 259*l = 255*l - 16. What is l*j(g) - 5*w(g)?\nAnswer: -g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1130?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1269084, 2538177, 3807270, 5076363, 6345456?\nAnswer: 7614549","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*u - 120 = 46*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26 = m - 2*q, -17*q + 59*q + 444 = -5*m - 50 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -12 - (-88 + 61 - -44)\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4, 5, 2\/17, 14, 0.5?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 140 and 45115?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -512\/3 + 4\/3*q**3 - 496\/3*q - 112\/3*q**2.\nAnswer: 4*(q - 32)*(q + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 7572 and 7571 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*l**4 + 842*l**3 + 26*l**2 + 17*l.\nAnswer: 96*l + 5052","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 100 = -5*j, 2*j + 0*x + 2*x = 40. Let w be (192\/(-40))\/((-6)\/j). Solve -4*h + 3*k = -w, 3*k = 4*h + 2*k - 16 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27428.\nAnswer: 2, 6857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m**2 - m**2 - m**2)*(-1 + 3 - 4) + 5*m + 0*m - 8*m + 20*m**2.\nAnswer: 26*m**2 - 3*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 8070\/689 or 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 270 and 37317060.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 130 = 16*o + 34 for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57*r = 557 - 842. Solve 0 = 2*f - 3*y + 2, -7*f - r*y + 0*y = -55 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6993 = 27*l + 10584 for l.\nAnswer: -133","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 424099 + 455801. Round o to the nearest one hundred thousand.\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -79 - -115. Let t(g) = 2*g + 35. Let a be t(-15). Suppose 0 = a*l + i - 95, 30 = l - 0*l - 2*i. What is the remainder when n is divided by l?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-24*j + 71 - 71)*(2 - 4 + 1).\nAnswer: 24*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 4*k + 2. Let s(b) be the third derivative of 0 + 0*b + 7\/8*b**4 + 11\/6*b**3 + 5*b**2. Determine -11*d(f) + 2*s(f).\nAnswer: -2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 97*h = 66*h + 91109. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 75.19608ml?\nAnswer: 0.07519608","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -132 - -137. What is the nearest to 2\/9 in r, -4, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5316865?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-17)\/17*-1*6?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -102*p**2 - 22. Let v(q) = -17*q + 69*q - 31*q - 10*q - 8*q. Determine m(v(c)).\nAnswer: -918*c**2 - 22","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/587 in 3, 7, 8, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -40873 divided by -981.\nAnswer: 40873\/981","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**4\/3 - 319*t**3\/3 + 3*t**2 + 957*t.\nAnswer: -t*(t - 3)*(t + 3)*(t + 319)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*o = 806 - 4491. What is the tens digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 x when two letters picked without replacement from {v: 4, j: 8, x: 2}.\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 5.1264892 to 3 decimal places.\nAnswer: 5.126","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d**3 + 9*d**2 - 8*d + 8. Suppose 0 = g - 7 - 1. Let o be r(g). Solve -24 = 4*s - o for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange q + 2*q - 6*q - 10771*q + 4435*q + 2774*q + q - 3*q + 3*q - 2*q - 2*q + 2*q + (-1 + 2 - 3)*(-3*q - 2*q + 6*q) to the form h + f*q and give f.\nAnswer: -3568","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - c + 177 = 5*f, 0 = 5*c. Suppose 5*g - 2*r - 195 + 51 = 0, 0 = 4*r - 12. Calculate the remainder when f is divided by g.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cnn when three letters picked without replacement from {r: 2, c: 1, j: 1, n: 2}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2915 - 1544. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y**2 - 3*y + 4. Let t be (-2 - -2) + -1*3. What are the prime factors of j(t)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.53 less than -26.97?\nAnswer: -27.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*k + 0*k - 4*k)*(6*k + 3372*k**2 - 30*k + 24*k + 623*k**2).\nAnswer: -3995*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*x**5\/19 - 682*x**4\/19 - 864*x**3\/19 + 4144*x**2\/19 + 160*x - 5664\/19 = 0. What is x?\nAnswer: -2, 1, 2, 354\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -1872 (base 9) in base 2?\nAnswer: -10110100010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f + 5*y + 11 = -9, -5*y = 5*f + 20 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.3 and -293379.\nAnswer: -88013.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2285\/7 - 327. Suppose -5*d - u = 2*u - 28, -4*u = -4. Which is the closest to -1? (a) 0.01 (b) r (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-22)\/(-99) - 900109\/(-36). Let i = -24845 + t. Let c = -159 + i. Calculate the common denominator of c and -49\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -3, -10, -2, 5.\nAnswer: -10, -4, -3, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 15253 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1 + -120102?\nAnswer: -120101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5164 or -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52*i = -47*i + 20. Let n be i\/((-8)\/(-6)) + -413. Let u = -248 - n. Is 20 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in ten thirds of a hour?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 16.31119 micrometers in nanometers?\nAnswer: 16311.19","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1846, -1860, -1884, -1918, -1962?\n\"Answer: -5*s**2 + s - 1842","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3810 in -4, 0.1, -1\/9, -0.3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6314 and 98?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-7)\/(-14)*44\/2*(2\/(-3))\/(-2)\nAnswer: 11\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3\/2, -0.5, 7.207, -218?\nAnswer: -218","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1 - -3) + (2 - 0). Let o = -1035 - -1045. Solve b + o = -l*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -85338 + 5?\nAnswer: -85333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -12, -13, -14?\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 4 = 3*l + 9*q, -3 = 3*l - 3*q. Suppose -6*r + 342 = -l*r. What is the remainder when r is divided by 17?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*v + 3129 + 182 = 0. Let b be (8\/(-10))\/(-1*(-1)\/(-10)). Suppose b*t + v = 1481. What is the highest common divisor of 28 and t?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 162 = -0*z. Suppose -c = 2*c - z. Is c a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 102\/(-7) + 17\/42 + (-169)\/(-1014)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*r - 4020 = -10*r - 31*r. Calculate the remainder when 933 is divided by r.\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c + 29. Let u(f) = 13*f**2 - 93*f. Determine h(u(o)).\nAnswer: -13*o**2 + 93*o + 29","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 94, 185, 276, 367?\nAnswer: 458","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 78, -0.26, 3, -0.3?\nAnswer: -0.26","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x**2 + x + 1. Let d(b) = -10*b**2 - 7*b + 6. Let f(g) = -5*g**2 - 3*g + 3. Let k(c) = 6*d(c) - 13*f(c). What is -k(y) - 4*o(y)?\nAnswer: -y**2 - y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f when two letters picked without replacement from ftfl.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = 2*p - 3*j, -6*p - j + 39 = -4*p. Suppose -5*s - 5*o + p + 7 = 0, -2*s + 7 = -o. Factor 0*a**3 + 3*a - 3*a + a**s - 2*a**3 + a**2.\nAnswer: a**2*(a - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -2. Let z(s) = -1 - 3*s**2 + 2 + 4*s**2. Let j = 3 - 5. Let t(n) = j*z(n) - r(n). Let x(l) = -2*l. Calculate t(x(k)).\nAnswer: -8*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x**2 + 40*x. Let a(l) = -68*l - 69*l + 141*l. Calculate a(r(w)).\nAnswer: 4*w**2 + 160*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the first derivative of -d**2\/2 + 1. Let n(u) = 56*u**2 + 569182*u + 6 - 30*u**2 - 20*u**2 - 569182*u. Calculate n(z(k)).\nAnswer: 6*k**2 + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c**2 - 2*c + 2. Let y be j(0). Suppose y*m - 7*m + 17 = -3*w, 3*w = -3*m + 15. Put 0, 2, m, -12 in increasing order.\nAnswer: -12, 0, 2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.02068 millennia in years?\nAnswer: 5020.68","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39 + 33 = -2*q. Suppose q*k = 0, 0 = -x - 4*x + k + 195. Find the third derivative of -25*s**5 + 355*s**3 - 355*s**3 + x*s**2 wrt s.\nAnswer: -1500*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 140*a + 120*a - 555*a + 120*a + 162*a.\nAnswer: -13*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2430200852?\nAnswer: 2, 19, 31976327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5822 + 5942. What is the least common multiple of 960 and j?\nAnswer: 960","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*b + 2*b - 6*b)*(-2 - 1 - 4)*(0*b**2 + 4*b**2 + 2*b**2).\nAnswer: 84*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 1223 = -294. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -26*x + 344. Let d be i(13). Solve -6*r + 9*r = -d for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-96)\/(-10))\/(3\/15). Suppose 7*c = 5*c + u. Calculate the remainder when c is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 6 - 8)*(4 - 6 + 1)*(5*s - s - 2*s).\nAnswer: 10*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 147*l - 1135 wrt l?\nAnswer: 147","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -18*l + 8*l + 3*l + 5*l + 3*l**2 - 1. Let j be (-10)\/6 - 4\/(-6). Give p(j).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-4)\/(-3))\/(2\/(-6)). Let d = -5 - s. Let t = d - -2. What is the highest common factor of t and 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 577, 575, 573, 571?\nAnswer: 569","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -31530 divided by 5?\nAnswer: -6306","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 33852.11ml?\nAnswer: 33.85211","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-870)\/40)\/(-3) - 7.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*a - 35 = -12*a. Suppose 5*m = -a*m + 384. List the prime factors of m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*l - 40 = -l. Suppose 2*t = 3*a + 4, 9 = -4*a + l*t - 1. Let h(d) = -d - 1. Let r be h(-6). Solve 2*q + 3*v - 7 = a, 2*q = v - 0*v - r for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 15 = 2*y + 4, -z + 13 = 4*y. Suppose -8*p = -49 - 15. Suppose -24 = -p*m + 2*m. Calculate the remainder when y is divided by m.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 594 - 590. Solve 2*a + 11 = 4*c + a, 2*c = 2*a + l for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -6*k - 125. Let t be n(-20). Let q(b) = 6*b + 1. Let o(w) = 3*w. Let z(f) = 5*o(f) - 3*q(f). Calculate z(t).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0 (b) -19 (c) -18 (d) -10388 (e) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-5236)\/1666*(315\/72)\/5\nAnswer: -11\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 3 and -0.1498447?\nAnswer: 3.1498447","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/29 (b) -1076 (c) -2\/149\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -1.1, 34\/21, 108, -1 in increasing order.\nAnswer: -1.1, -1, 34\/21, 108","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 155847, 155384, 154931, 154494, 154079, 153692, 153339?\nAnswer: 153026","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -6*l - 11. Suppose 8 = -89*f + 85*f. Let b be j(f). Solve -4*i + 3*z = 6, z - b = -3*i + 1 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 502904?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2926*q**3 - 2931*q**3 - 3*q - 2942*q**3 + 3*q + 8796*q**3.\nAnswer: -3*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Let l = -4 - 1. Let m = l + 10. Suppose 2 = 3*n + m. Which is greater: n or -2\/21?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 188 divide 348364?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f + 3*d + 17 = 0, 8*d = -2*f + 7*d + 1 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u + 282 - 276 = 0 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5499 and 180.\nAnswer: 109980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 13 - 0. Suppose -x - 9 = -3*r, 0 = 4*r + 3*x - 4*x - f. What is the third derivative of k**2 - 4*k**r - 5*k**2 + 9*k**4 wrt k?\nAnswer: 120*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 486, 1904, 4268, 7578, 11834, 17036?\n\"Answer: 473*o**2 - o + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 5 = b. Let t be -4 - (8 + -1 + -13). Suppose 3*l - 2 = -u, t = -b*l - 4*u - 4. Solve -l*r = -3 + 7 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - r = -15 - 29, 0 = 3*g - 5*r - 4. Suppose -2*q - q = -2*h + g, -q = 0. Suppose -k = f - 42, -10 = -6*k + h*k. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p**3 + 7*p**2 - 9*p - 68. Let r be i(-5). Solve 30 - r = -w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 169461193?\nAnswer: 11, 53, 290671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 12*d - 1219 - 7352*d**2 + 7353*d**2 + 155*d**6 - 14*d + 84*d**6 + 3*d**3 + 4*d**4 wrt d?\nAnswer: 28680*d**3 + 96*d + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14263625 divided by 570545\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g**3 - 6*g**2 - 2*g + 3. Let k be d(-5). Let y = 3 + k. Let r be y\/(-21) - 6\/(10 + -4). Sort -0.4, -56, r in descending order.\nAnswer: -0.4, r, -56","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10143\/(-115920) + (-2)\/32?\nAnswer: -3\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -150, 32374 in increasing order.\nAnswer: -150, -3, 32374","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:35 PM and 1:31 AM?\nAnswer: 296","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 67\/4 of a litre?\nAnswer: 16750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4 + 6. What is the closest to f in -0.4, 1\/3, -5?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9540\/216*(-4212)\/(-1755).\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 206729*a + 510. Let q be p(10). Round q to the nearest 10000.\nAnswer: 2070000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.1, 9, -2, 0.2, -0.5?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3 - 4 + 6)*(-4 - 3 + 5) + 2 - 1 + 0 + 18 + 59 - 19 + 62)*(68*m**5 + 18*m**5 + 41*m**5).\nAnswer: 15621*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 4) to base 2.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 30 = k. Let r(a) = -a**3 + 2*a**2 + 3*a + 3. Let w be r(3). Solve u**3 + 2 + 6*u + u**3 + k*u**2 + 0*u**w = 0 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -19, -4 in descending order.\nAnswer: -1, -4, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 116854.\nAnswer: 2, 58427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -4\/375 and -38\/5705?\nAnswer: 427875","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(d\/(d\/((d**(3\/10)*d)\/d)))*d)**(-41)\/(d**18)**(-48))**(-37) assuming d is positive.\nAnswer: d**(-293891\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 3*h - 5273 - 1021 = 0, -25125 = -4*p + 5*h. What is the units digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -17469 - -30259. List the prime factors of r.\nAnswer: 2, 5, 1279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 128705 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 5 = -75. Is i at least as big as -12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n + 5*r = 140, n - 5*r - 201 = -359 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-16)\/(-72))\/(4\/18)*1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 145137 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 a be 4\/6 + 4\/(-6). Suppose 2*u + 2*u = a. Suppose u = 4*c - m - 2*m - 25, 4*c - 2*m = 30. What is the units digit of c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 612\/24*(16\/(-14))\/(1134\/1323).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -5, -31, 1\/2, 0.1, -7 in descending order.\nAnswer: 4, 1\/2, 0.1, -5, -7, -31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -151\/1830 and -99\/40.\nAnswer: 7320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -7*c. Let d(v) = -4 - 6467*v + 4 + 6416*v. What is d(r(i))?\nAnswer: 357*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(17) + ((2*sqrt(272))**2 - sqrt(272)).\nAnswer: -3*sqrt(17) + 1088","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -589*l + 1166 = -567*l for l.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the third derivative of u**6\/120 - u**5\/6 - u**3 - 188*u**2. Calculate k(10).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1428 (base 14) to base 9.\nAnswer: 4800","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x + 17 = 3*v + 2*v, 4*v + 4*x = -8 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3 - 224a?\nAnswer: -2252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -8\/5071 equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 947964 and 191484?\nAnswer: 76785084","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2 - -23b37329?\nAnswer: 23b3732b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 351889815 to the nearest integer?\nAnswer: 706","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 3172.69 rounded to the nearest 10?\nAnswer: 3170","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = 5*j - 17, -3*z + 3*j - 13 = -2*z. Suppose -n + 4*d - 53 = 0, -3*d - d - 127 = 3*n. Let o = -41 - n. Solve 0 = -z*q + o*q + 4 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2 - -36. Let i = 26 - 56. Let t = f + i. What is the fourth smallest value in t, 0, -7, 1?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 3*c + 25 = -2*c, -25 = -3*r + c. Let x = -3 - -16. Let z = x - 8. Solve 10 = z*u - r*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 4763396?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w**3 - 4*w**2 - 6*w + 6. Let g(d) = d**3 - 3*d**2 - 6*d + 7. Let t(k) = 3*g(k) - 4*p(k). Give t(8).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 61714 - 61731. Let a = -1 - 3. What is the fourth smallest value in 2\/3, a, 4\/7, h?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = 0, 2*o - 4*s = -3*s + 2754. Let c = o + -913. What is the hundreds digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*j**5*m + 4120*j**3*m - j**2*m + 150*j*m + 132*j wrt j?\nAnswer: 80*j**3*m + 24720*j*m - 2*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -f + 0*f + 3*f - 28*f**3 + 31*f**2 - 31*f**2 to the form r + k*f + t*f**2 + w*f**3 and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11102242, -11102241, -11102240, -11102239, -11102238?\nAnswer: -11102237","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uiui when four letters picked without replacement from {i: 3, u: 9}.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 2*z**2 + 4*z + 5. Let r be f(-4). Suppose -23*n - 6 = -r*n. Sort n, -4, 2, -2 in ascending order.\nAnswer: -4, n, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 491280?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 4*t + 3 = 6, 3 = t. Let c = q - 2. Calculate the greatest common divisor of 1 and c.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 33780?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 23654117?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-23)\/(n*n**14))**(-45) assuming n is positive.\nAnswer: n**1710","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6144605 is divided by 7898?\nAnswer: 7859","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zej when three letters picked without replacement from {z: 1, j: 1, h: 2, d: 2, a: 2, e: 1}?\nAnswer: 1\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h**2 + 12*h - 4. Determine s(-12).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 20673230 to the power of 1\/2, to the nearest integer?\nAnswer: 4547","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.05 (b) 6071 (c) 4\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 667 minutes after 11:01 AM?\nAnswer: 10:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 10271 a multiple of 135?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 15.4 (b) -0.8 (c) 4\/9 (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -51, -256, -809, -1884, -3655, -6296?\nAnswer: -9981","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*w**2 + 2 - 5 - 70*w**2 - 65*w**3 - 78*w**2.\nAnswer: -65*w**3 - 153*w**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 23, 82, 189, 350, 571, 858?\n\"Answer: w**3 + 18*w**2 - 2*w + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2.7867848 - -0.0186452. Let w = o + -1.8054. Let s = w + -1. Round s to 5 decimal places.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -6 + 4410?\nAnswer: 4403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 - (-1 - (-3 - -2))) + -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10378*m = 149170 + 618802 for m.\nAnswer: -74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3a (base 12) in base 7?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 424162399 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 11, 27, 59, 113, 195, 311, 467, 669?\n\"Answer: x**3 + 2*x**2 + 3*x + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*m**3 + 2*m**3 + 779*m**2 + 14 - 1567*m**2 + 788*m**2.\nAnswer: -2*m**3 + 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = l**3 + 5*l**2 - 12*l + 19. Let n be r(5). Let x = n - 102. Calculate the remainder when x is divided by 54.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -44 - 2619*d**4 + d + 1305*d**4 + 23 - 4*d**2 + 5*d**3 + 1311*d**4 as n*d + w*d**2 + s*d**4 + y + z*d**3 and give z.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = f**2 - 16*f**2 + 0*f**2 + 10*f**2 + 2*f**2. Let t(n) = -834*n**2. What is b(t(o))?\nAnswer: -2086668*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 97 divided by 596\nAnswer: 97\/596","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-22)\/(-110))\/((-3)\/(-5)). Which is the closest to 1? (a) g (b) -0.53 (c) -1 (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -1, -29 in decreasing order.\nAnswer: -1, -3, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q**2 - 347*q + 3707. Let x be k(11). Solve 0 = -20*y - 7*y - x*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -3036, -6117, -9258, -12459, -15720?\n\"Answer: -30*w**2 - 2991*w - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7434.853 meters to nanometers.\nAnswer: 7434853000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 16*q**2 - 3. Let u(l) = -5*l**2. Calculate u(b(j)).\nAnswer: -1280*j**4 + 480*j**2 - 45","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2701803*t**4\/8 - 2519595*t**3\/4 + 1985259*t**2\/8 + 42480*t + 1536.\nAnswer: 3*(t - 1)**2*(949*t + 64)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (x - 6*x + 3*x)*(0 - 2 + 1)*(x + 2*x - 4*x) + (3*x + x - 2*x)*(-4*x - 25*x - 2*x).\nAnswer: -64*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -39 - -89. Suppose -h = -5*u + 5*o, 2*u + 6 = 4*o + 22. Calculate the common denominator of u and 29\/20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13 + 17 - (8 - -36)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (319393*o - 10*o**2 - 2*o**3 + 1 - 28*o**2 - 319387*o)*(-2*o - 4*o + 3*o) to v*o**3 + k*o**2 + c*o**4 + u*o + x and give c.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -71 (base 14) to base 7\nAnswer: -201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 4*c + 38 = 0, -i + c + 8 = -c. Calculate the lowest common multiple of i and 12.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -969893 rounded to the nearest 1000?\nAnswer: -970000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -23 + -15 + 38 - -7 - 28\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -26 in 5, 0, -3\/25?\nAnswer: -3\/25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r - 30*k - 815 = -220, 55 = -9*r - 5*k for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 7952a + -61?\nAnswer: 79489","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g - 58 = 103*q - 102*q, 5*g = 8*q - 91 for g.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 25, -3, 18, 3 in increasing order.\nAnswer: -3, 3, 18, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the first derivative of d**4\/4 + 4*d**3 + d**2 + 11*d + 1680. Calculate n(-12).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -5*q**3 + 632*q**2 - 258*q + 769. Give i(126).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 134751 = -2*o - 4*l + 134785, -l = -5*o - 25 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -10\/19, 0, -3\/5, 5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvsyuuyssutututvuv. Give prob of picking 2 u and 1 t.\nAnswer: 15\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 57 + -37. Let i be -2*(-4)\/m + (-96)\/(-10). Is 15 + (-7 - -1)\/((-15)\/i) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 432691 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23676309 is divided by 263.\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = c**2 + 3 - 6 - 13*c + 4. Let l be z(13). Do 1 and l have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - 2 - (-2024)\/644?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p - 34 = 5*r, -2*p - 2*r = -0 + 4 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -0.1 (b) 0.2 (c) 0 (d) -9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-338 - -356) + -81 + 2 - (-5 + -3 + 16).\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-16)\/(-6)*4590\/104040.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8571, -17129, -25677, -34215, -42743, -51261?\nAnswer: -59769","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*r**2 - r**2 + r**2)*(-1 - 1 + 4) - 7*r**2 - 6 + 6 + (2*r + 0*r - r)*(0*r - 2*r + 3*r).\nAnswer: -10*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2118612.\nAnswer: 2, 3, 176551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -34689.338 + 34686.33800017. Let a = k - -3. Round a to 7 decimal places.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 21066 and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 10.555 to 1 decimal place.\nAnswer: 10.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2590\/(-5439)*28\/30?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 644 minutes after 2:04 AM?\nAnswer: 12:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 191 + -148. Does 19 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*l + 315 + 47. What are the prime factors of l?\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*f**4 + 2*f**2 - 3*f**2 + 289*f + 2*f**3 - 141*f - 146*f - 3 to x*f**4 + m + y*f + z*f**3 + g*f**2 and give m.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*l**3 - 5*l**3 + 3*l**3 + (l - 6*l + 0*l)*(l**2 - 3*l**2 - l**2) + l**2 + l**3 - l**2.\nAnswer: 17*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1619092 divided by 21.\nAnswer: 1619092\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 0 - (-46 + -11 + (44 - 11))?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that 3*h**3 + 3*h**2 - 9\/2*h**4 + 3\/2*h**5 - 9\/2*h + 3\/2 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4, -23, -64, -133, -236?\nAnswer: -379","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(((2*sqrt(99) + -3 - (-1 + sqrt(99) + 4))*-3*-4)**2 + 2 + 0).\nAnswer: -15552*sqrt(11) + 58326","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 3*g = -5, -2*w - 4*g + 6 + 2 = 0. Suppose 32 = t + 4*t - 4*a, 4*t - 36 = -w*a. What is the highest common divisor of t and 20?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1296.115917 and 5.\nAnswer: 1301.115917","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -2049971, -4099947, -6149913, -8199869, -10249815?\n\"Answer: 5*v**2 - 2049991*v + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h - h - 3*f - 823 = 0, 5*f + 815 = 5*h. Suppose -174*y + 364 = -h*y. Is 13 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 10\/((-1 + -3)\/(-4)). Solve i = 5*h - g, 6*h - 19 = 3*h - 2*g for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2160 and 96?\nAnswer: 4320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -155 + 596. Suppose -330 = -3*n + 3*s, 5*n - n - 3*s = v. Let h = -56 + n. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2765789149 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.5 - -1.41. Which is the smallest value? (a) 5 (b) 0 (c) z (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/11 in -5, 0.2, 330?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*s - 14*s + 11*s + 6)*(2*s - 4*s + 0*s) - 2*s**2 + 5*s**2 - s**2.\nAnswer: 12*s**2 - 12*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2885 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 4516*d**2 + 8*d + 123. Let f(z) = 4518*z**2 + 10*z + 121. Let h(y) = -3*f(y) + 4*q(y). Find the second derivative of h(n) wrt n.\nAnswer: 9020","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 6, j: 7}. What is prob of sequence jj?\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7400568.\nAnswer: 2, 3, 7, 29, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/3, 4, 1.\nAnswer: 1\/3, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -345286 - -642683. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oaeoa. What is prob of picking 3 a?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o - 14 = 1 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1105680 divided by 368560?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/(3 + -1) - 5\/(-5). Solve u = -m + 3*x + 1, x = 3*m - m - 7 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4551297 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 48\/5 of a millimeter?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the first derivative of -5*t**7\/42 + t**5 - 5*t**4\/6 - 5*t**3\/2 + 5*t**2 - 6*t - 9. Let i(l) be the first derivative of r(l). Factor i(w).\nAnswer: -5*(w - 1)**3*(w + 1)*(w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by -8043948\nAnswer: 5\/8043948","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 41606523.\nAnswer: 3, 7, 19, 34759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-660)\/99)\/(-3 - (-28)\/6 - 2). Calculate the greatest common factor of 68 and l.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 75\/4 of a milligram?\nAnswer: 18750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1 + -2034?\nAnswer: -2035","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2957478 at most 2957478?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -2*s**2 - 4*s - 2. What is i(-3)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3611?\nAnswer: 23, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 706121.8 litres to millilitres.\nAnswer: 706121800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 15640 and 469591.\nAnswer: 391","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*z**3 + 200 + 210 - 410 + 11*z**3.\nAnswer: 19*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 274988496.\nAnswer: 2, 3, 307, 18661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = 4 + 5. Let l(m) = 3*m**2 - 13*m + 1. Is l(h) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -174354 + 87175 + 87178. Let u(k) = -13*k**2 + 2*k - 7. What is -6*q(x) + u(x)?\nAnswer: -13*x**2 + 2*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 28946207 to the nearest integer?\nAnswer: 5380","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 223*q - 49. What are the prime factors of w(4)?\nAnswer: 3, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -121\/930 and 39\/122?\nAnswer: 56730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 55 divide 44044715?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aacecaececca. Give prob of picking 3 c.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 535391 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -59*y**3 + 117*y**3 - 56*y**3.\nAnswer: 2*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 11*n**2 - 1. What is h(-1)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13022 (base 4) to base 16.\nAnswer: 1ca","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*s - 8*s + 2*w = -4, 2 = 2*s - w for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 6890469526?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-1)\/(-4))\/(2*1\/(-334)). Which is smaller: -41 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the first derivative of 7*x**4\/20 + 3*x**3\/5 - x**2 + 4207. Factor v(n).\nAnswer: n*(n + 2)*(7*n - 5)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 389228010?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 617 minutes before 11:56 PM?\nAnswer: 1:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 2 + (3 + -3*(sqrt(425) - (1 + sqrt(425))**2*4))*1.\nAnswer: 105*sqrt(17) + 5117","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 1 = -16. Suppose m*r - p - 723 = 0, 3*r - p - 255 = 178. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = t - 9. Put t, 2, 12 in ascending order.\nAnswer: 2, t, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:31 PM and 1:13 AM?\nAnswer: 582","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**2\/6 - 7*h\/6.\nAnswer: h*(h - 7)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 32 and 1053120.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 48, 1, 0, 5, -44 in increasing order.\nAnswer: -44, 0, 1, 4, 5, 48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1.24980660191 and -0.5.\nAnswer: -1.74980660191","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3 and -197.\nAnswer: 591","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 847 or -7081?\nAnswer: -7081","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the third derivative of 0*q**3 + 0 - 1\/40*q**6 - 1\/8*q**4 + 0*q**5 - 3*q**2 + 0*q. What is the second derivative of t(g) wrt g?\nAnswer: -18*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -5*z**3 + 27*z**2 + 5*z + 8. Let k(c) = 2*c**3 - 9*c**2 - 2*c - 3. Let w(r) = 3*i(r) + 8*k(r). Let j be w(-9). Factor -3*h**2 + 4 - 1 + j*h - 9*h.\nAnswer: -3*(h - 1)*(h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 116 and 29.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6 - -14. Let u(x) = x - 1. Let v(w) = -3*w + 6. Let a(t) = 5*u(t) + v(t). Does 9 divide a(h)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(156) + ((sqrt(156) + sqrt(156)*3 + sqrt(156) - sqrt(156) - sqrt(156))*-5 - sqrt(156)))\/sqrt(12).\nAnswer: -15*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/g**(2\/15))\/g)**11\/((g*g**(-8\/3))\/g**(6\/5)) assuming g is positive.\nAnswer: g**(7\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 206*t**2 - 255*t**3 - 263*t**3 + 516*t**3 as i + h*t**3 + k*t**2 + j*t and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -84*n**3 - 35*n - 35. Let o(d) = 277*d + 4951. Let w be o(-18). Let g(v) = 5*v**3 + 2*v + 2. Calculate w*g(a) - 2*k(a).\nAnswer: -7*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -299\/126 + -85\/14. What is the common denominator of n and 93\/628?\nAnswer: 5652","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h**3 + 9*h**2 - 3*h - 11. Let d be x(-8). Suppose 10 = 3*u - d. Calculate the smallest common multiple of 1\/(-1)*(-20 + 13) and u.\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (3 - -17)\/1 + -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 73\/25588 and -18\/7.\nAnswer: 179116","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40*w - 3*g = -20*g + 3*g + 10*g + 452, 3*g = 5*w - 46 for w.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-51 - (14 - -4 - 26)) + -17?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0 (b) -1\/17 (c) -0.4 (d) -0.3 (e) 0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1938883 to 3 decimal places.\nAnswer: 0.194","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 444 or 23008?\nAnswer: 444","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -3 (b) 6 (c) 1 (d) -120 (e) 1.39\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.1606 + -0.4606. What is the closest to -2\/3 in -7, 2, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -29 - -42. Suppose 0*b + 57 = 3*b. Let d = b - g. What are the prime factors of d?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -91683*o**2 + 91637*o**2 - 52*o + 52*o.\nAnswer: -46*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nvnnnxvnnnxnnn. Give prob of picking 1 x and 1 n.\nAnswer: 20\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eyzsysszzyss. What is prob of sequence syzz?\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 65658403813 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1473, -12080, -40967, -97272, -190133?\n\"Answer: -1523*s**3 - 2*s**2 + 60*s - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 131640?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n**2 + 161*n + 482. Give g(164).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 0 - 27 = -v, 0 = 4*x - 20. List the prime factors of 13*2\/(v\/1).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t and 1 z when three letters picked without replacement from {t: 2, c: 4, z: 1}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -6*z - 12 + 0*z - 5*z + 1. Is b(-6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l - 4. Let s be z(3). Let y = s + 5. Solve m - 2*m = r, -2*m + 2*r = -y for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2.8 + 2.5. Let l = -0.01 - -0.41. Which is the third biggest value? (a) f (b) l (c) 0.2 (d) 2\/21\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26561?\nAnswer: 26561","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 5939972011 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 40 = 7*t. Let i be (4 - t)\/((-6)\/4). Suppose 0 = 4*x - 4*w + 8, -i*w + 13 = x - 10. What is the remainder when 7 is divided by x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 62358048?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -31355 + 10?\nAnswer: -31345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-733 - -829 - (3 + 5)) + (-4 - (2 - 1)).\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -482699*m**2*v**2 + 328625*m**2*v - 4*m**2 + m*v**3 + 2*m*v wrt v.\nAnswer: -965398*m**2 + 6*m*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence le when two letters picked without replacement from {l: 1, z: 1, e: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/6*(20 + 1). Let d be 542*1*s\/28. Are d and -136 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1541 + -1540.9998847. Round i to six decimal places.\nAnswer: 0.000115","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/66*1*-1)\/((-23)\/2254*7)?\nAnswer: 14\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r**2 - 845*r + 846 = 0. Calculate r.\nAnswer: -846, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (39*o + 7 - 2 - 5)*(-2 + 16 + 1).\nAnswer: 585*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -140, -332, -524?\n\"Answer: -192*q + 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (4\/8)\/((-2)\/92). Let v = -23 - k. Solve v*l - l + 7 = g, -4*l + 33 = 5*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -183.6 + 184. Which is the second smallest value? (a) -1\/3 (b) -1\/6 (c) -1 (d) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*(-5*sqrt(288) + sqrt(288)) - (3 + sqrt(288) + sqrt(288))*5) + -4)**2.\nAnswer: -6384*sqrt(2) + 56809","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = x + 15, 4*x + 20 + 0 = 0. Sort -5, h, 3, -4 in decreasing order.\nAnswer: 3, h, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 948314.3ug to kilograms.\nAnswer: 0.0009483143","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the second derivative of d**5\/4 - d**4\/6 + 6*d. What is the third derivative of z(b) wrt b?\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1856538834?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 3*b + 300 = 0. Let v = b - -16. Let k = -46 + v. What is the greatest common divisor of 10 and k?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.2, -207, 0.5, -5?\nAnswer: -207","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16941*r - 10257*r + 8253*r.\nAnswer: -18945*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that 49*k**3\/4 + 231*k**2\/4 - 69*k\/4 + 5\/4 = 0.\nAnswer: -5, 1\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 divided by -30026552?\nAnswer: 9\/15013276","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 41*g**3 + 217*g - 102*g - 89*g to the form i*g**2 + m*g + q*g**3 + w and give q.\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1890985 is divided by 610?\nAnswer: 595","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3870233*r**2 + 2750*r?\nAnswer: 7740466","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -304 - 9*d**3 + 308 - 6*d**3 + 0*d**3 to the form g*d**2 + v*d**3 + q + k*d and give v.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 27372 + 0.1364.\nAnswer: 27372.1364","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 76 - 70. Let x(n) = 4*n**2 + 6*n. Let k(s) = s**2 + s + 2. Let h(c) = c**2 + c + 1. Let l(v) = 2*h(v) - k(v). What is z*l(j) - x(j)?\nAnswer: 2*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5.9446 + 0.0554. Which is bigger: n or 5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve x = -2*u + 4, -4 = -2*u - 5*x + x for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*y**4 + 0*y + 0*y)*(-80 - 14 - 17).\nAnswer: 444*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*s - 1 - 6 + 1 - 19*s**4 - 6*s**3 + 20*s**4 + 4 as v + m*s**4 + x*s**3 + k*s + q*s**2 and give x.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 36\/11 (b) 5\/6 (c) -2\/9 (d) 1\/3 (e) 1\/106\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 12707, 25577, 38613, 51815, 65183, 78717?\nAnswer: 92417","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -21*x + 50. Let b be z(2). Calculate the greatest common factor of 64 and b.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**2\/5 - 49078274*u\/5 + 602169244704769\/5.\nAnswer: (u - 24539137)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 10762 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -313*h + 219*h + 3*h**2 + h**4 - 6*h**2 + 3*h**3 + 157*h + 5*h**2 as o + r*h + c*h**4 + n*h**2 + w*h**3 and give r.\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 48027533?\nAnswer: 17, 2825149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 6\/4 - (-6)\/12. What is the biggest value in t, -11, -1\/3, -4?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -83 - 3008458.55279\nAnswer: -3008541.55279","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2b661 + 54?\nAnswer: 2b6b5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*((4*sqrt(175)\/sqrt(63))\/((sqrt(15) - (sqrt(1815) + (sqrt(1815) - (sqrt(1815) + (1*sqrt(1815) + sqrt(1815) - sqrt(1815))))))\/sqrt(3)) + -5))**2.\nAnswer: -480*sqrt(5) + 1220","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -6115938*j + 2 + 705657*j - 540401*j - 1049316*j. Let c be n(-1). Round c to the nearest one million.\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 5*c**2 + 121*c + 2201. What are the prime factors of z(100)?\nAnswer: 64301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -4*s**2 + s + 1. Let y be c(-1). Let k(h) = h**2 - 2*h - 1 - 3*h**2 + 3*h**2. Let i be k(3). Put y, i, 3 in decreasing order.\nAnswer: 3, i, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 7*c = -5*y + 39, -c = -2*y + 15. Suppose 3*j = y*j. Suppose 2*x - 16 = -2*r + 30, j = 5*r. What is the remainder when 90 is divided by x?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 226 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-13756)\/(-1267) - 2\/(-14)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 138*h**4 + 114*h wrt h?\nAnswer: 1656*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 345 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 16\/8 + -1*30. Let a = g + -8. Let r = -11 - a. What is the remainder when r is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -158*d + 1 + 322*d - 155*d - 6. Give w(1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-10)\/(-15) - (-152)\/6. Let r = q - 25. Let s be 4\/18 - 175\/(-63) - r. Solve -5 = -o + s*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Put 0, 720, -0.3, 4, 60, -1 in increasing order.\nAnswer: -1, -0.3, 0, 4, 60, 720","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p and 1 k when three letters picked without replacement from pkvkvipkkkk?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 3*q + 27 = -0*a, -3*a + 5*q - 35 = 0. Let n(h) = -13*h - 17. What are the prime factors of n(a)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r + z = 547 - 596, -92 = -9*r - 2*z for r.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7\/10, -1128, 0.5, 0.2 in descending order.\nAnswer: 7\/10, 0.5, 0.2, -1128","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((sqrt(78)\/(sqrt(9)\/sqrt(3)))\/(sqrt(242)*2) - (sqrt(13) + (sqrt(468)*-3)**2 + -1 + sqrt(1300))).\nAnswer: -4213 - 241*sqrt(13)\/22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -29502490 to the nearest one hundred thousand.\nAnswer: -29500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 41664521\/210 - 198403. Find the common denominator of p and -43\/135.\nAnswer: 1890","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the first derivative of k**5\/20 - k**4\/6 - 4*k**3\/3 + 2. Let h(m) be the third derivative of r(m). What is the first derivative of h(g) wrt g?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 114 and 19?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -7 + 2*x + 1 + 6. Let d(o) = -70*o + 21. Let w(u) = 17*u - 5. Let a(c) = -5*d(c) - 21*w(c). What is r(a(h))?\nAnswer: -14*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -321520, -320814, -320096, -319360, -318600, -317810, -316984, -316116?\n\"Answer: g**3 + 699*g - 322220","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u**3 - 5*u**2 + 2*u - 5. Let f be h(5). Suppose 0 = -v + f - 1. Solve 5*b + 8 = -v*l, 0 = -2*b - 2*b - 5*l - 1 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -3*t**2. Suppose -12 = -0*m - 3*m. Let l(q) = 0*q - m*q + q. What is l(i(h))?\nAnswer: 9*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 12\/25 of a microsecond?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1386 - 916*b + 1386.\nAnswer: -916*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by -1420.\nAnswer: -1\/284","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -4*f + 41 + 19*f**3 + 37 - 173 + 45 + 47. What is n(-1)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*q - 22 = 16*q. Let l = -2 - -9. Suppose l*d = q*d. Solve -r - 4*r = -20, d = -2*o + 3*r - 8 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 104 - 101. What is the remainder when 16 is divided by z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*d**4\/5 + 13*d**3\/5 + 4*d**2 - 4*d\/5 = 0.\nAnswer: -1, 0, 2\/11, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -22.2 - -321.2. Let n = -299 + s. Which is the nearest to 3\/5? (a) n (b) 1 (c) -2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that 2*x**3 + 54*x**2 - 56*x = 0.\nAnswer: -28, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((l*l**2\/l)\/l)\/(l\/l**(-3\/4)))**(-42))**(-16\/9))**(-33) assuming l is positive.\nAnswer: l**1848","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k + 5*d + 587 = 532, -k = 8*d - 23 for k.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b**3 - 9*b**2 - 8*b + 7. Suppose g - 2*c = -0*c, -2*c + 50 = 4*g. Suppose 2*u + 6 = -g. Let w be s(u). What is w rounded to the nearest ten?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the second derivative of -x**8\/80 + 11*x**4\/12 - 2*x**3\/3 - 16*x. Let q(d) be the second derivative of t(d). Differentiate q(a) with respect to a.\nAnswer: -84*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yyoo when four letters picked without replacement from oeooyyyooyyeyoeeeoyo.\nAnswer: 98\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fk when two letters picked without replacement from fkajuvf?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 2.0962 and 11.473699546?\nAnswer: 9.377499546","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 70663*f**3*m**3 + 6773*f**3*m + 5*f*m**2 wrt m?\nAnswer: 423978*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a**3 - 15*a**2 + 10. Let r be w(15). Suppose -30 = 5*t - r*t. Factor -t*g + 1\/2*g**4 - 3*g**3 + 2 + 13\/2*g**2.\nAnswer: (g - 2)**2*(g - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence frfi when four letters picked without replacement from {m: 1, z: 1, r: 2, f: 3, i: 6}.\nAnswer: 3\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.1 (b) 0.5 (c) -91 (d) 1\/21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -113*z + 221*z = 112*z + 52 for z.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 496252 and 30696.\nAnswer: 2977512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gr when two letters picked without replacement from {g: 1, r: 2}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 36.5986 litres in millilitres?\nAnswer: 36598.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2 - -1)\/(-12 + 13). Suppose 6*c - 5787 = u*c + 5*b, 3883 = 2*c + 5*b. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4418 is divided by 56?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 822900?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*z + 2*z = -i - 24, 5*z + 3*i - 28 = 0. Solve 0 = 4*r + z + 3 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -59576, -59639, -59744, -59891, -60080, -60311, -60584?\n\"Answer: -21*r**2 - 59555","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -23\/8? (a) 3 (b) -4 (c) 86 (d) -1558\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 941*i**3 + 1393*i**3 + 852*i**3.\nAnswer: 3186*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3 + 6515?\nAnswer: 6512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (-1 + sqrt(10)\/sqrt(2) + sqrt(5) - (3 + sqrt(45)))**2.\nAnswer: 16 + 8*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 163951*g - 40636*g + 135434*g + 552924*g.\nAnswer: 811673*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3)\/(-6) + (-15)\/(-18)*3. Let j be ((-6)\/t)\/((-20)\/50). Suppose -j*y + 8*y - 3*v = 2031, 0 = 4*y + 3*v - 2708. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (486\/72)\/(35*36\/11760)?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3773053?\nAnswer: 3773053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1 from -1685913412.\nAnswer: -1685913411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 400 minutes after 11:33 PM?\nAnswer: 6:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 7\/4 + (-2)\/(-8). Let x = 6 + -2. Differentiate -o - o - x + s wrt o.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/f**(16\/5))\/(f\/(f\/((f\/(f*f**3*f)*f)\/f))) assuming f is positive.\nAnswer: f**(9\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the third derivative of 5981*h**7\/210 - 11*h**5\/12 + h**4\/6 - h**3\/6 - 1352*h**2. Find the third derivative of y(z) wrt z.\nAnswer: 143544*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 25015496?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (9 + -4 - 0 - -4) + -16?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -743*j**2 + 972*j wrt j.\nAnswer: -1486","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6502116924?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3 + 2. Let s = 19 + -20.1. Let g = l - s. Which is the closest to 1? (a) -2 (b) g (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g**2 - 2*g - 4. Let w be f(5). Let l(j) = -16*j - 2*j - 3*j. Let q be l(-1). Solve -3*x + q = 3*v, 5*x - 4*v - w = -3*v for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -52823*d**3 - 281623?\nAnswer: -158469*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2.204 - 2.274. Put -3\/7, 1\/2, d, -2\/5 in decreasing order.\nAnswer: 1\/2, d, -2\/5, -3\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 123\/280 and -9\/10720?\nAnswer: 75040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r\/r**(-3))\/(r*r**0))\/((r*r**(-3\/2))\/r*(r*r\/r**0)\/r) assuming r is positive.\nAnswer: r**(9\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 28, 33, 62, 127, 240?\n\"Answer: 2*s**3 - 9*s + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*g + 2 + 7*g + 3*g + 4*g**2)*(-4*g + 5*g + 0*g).\nAnswer: 4*g**3 + 4*g**2 + 2*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -80 + 83. Solve n = -2*a + 3*r - 6*r, -5*r = 5*a + 5 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a decade in months?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 171*s - 16. Let v(q) = -34*q + 3. Let u(c) = 2*h(c) + 11*v(c). List the prime factors of u(-19).\nAnswer: 3, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*b + 38*b**2 - 8*b + 0*b + 14*b - 8*b.\nAnswer: 38*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 25*f - 5*f - 60. Find the third derivative of -59 + 65 + 2*j**f + 2*j**4 + 2*j**2 - 23*j**4 wrt j.\nAnswer: -504*j + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 - 28087741\nAnswer: -28087740.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -15, -2843, 491 in decreasing order.\nAnswer: 491, 3, -15, -2843","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -41*t*u**4 - 493*t*u + 5678*u**4 - 5*u**2 wrt u.\nAnswer: -984*t*u + 136272*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -1 (b) 2\/19 (c) -0.2 (d) -0.15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1657 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zle when three letters picked without replacement from {c: 1, l: 1, m: 1, e: 2, z: 1, d: 1}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 194?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 169080 a multiple of 60?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 383261852 is divided by 131.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t + 126 = -24*k + 5*t, 64*t + 2478 - 2656 = -25*t for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 52 - 34. Suppose 5*j + c = 4697, 0*j - 2811 = -3*j - 3*c. Calculate the remainder when j\/18 + (-4)\/18 is divided by w.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5079756 and 2452296?\nAnswer: 71116584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -197, 827955.\nAnswer: -197, 3, 827955","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (1782\/(-27))\/((34\/459*-9)\/((-2)\/6))\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 329314509.\nAnswer: 3, 36590501","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(-2)*108\/(-18) - -5.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + -19 + (5 - (-18 + 19 - (-8 + 1))).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 2*l - 3. Let h(c) = 7294*c**2. What is r(h(w))?\nAnswer: 14588*w**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 25\/(373275\/7574) - (-3)\/(-6) and -43\/36.\nAnswer: 8532","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h + 1. Let u(x) = 3*x + 3. Suppose -2*j + 4*g = -7 - 9, -3*g = -2*j + 14. Let i(y) = j*w(y) - u(y). Let q be 1*12*(7 - -2)\/(-18). What is i(q)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5370 and 3222.\nAnswer: 16110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = -5*l + 26, 0*l - 2 = -2*k + l. What is the derivative of 9 + 2*f**3 + 9*f**4 + f**4 - 2*f**k wrt f?\nAnswer: 40*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 2*u + 5. Let w(n) = n**2 + 5*n + 0 + 2*n - 8*n - 10. Let b be w(3). Give s(b).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 62 + -43. Let y = g - 19. Suppose y = -2*q - q + 6. Solve -q*o + 18 = 4*k, 0*o + 2*o - 14 = -3*k for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (34*x - 20*x + 2*x**3 + 30*x)*(-3 - 2*x + 3) as k*x + z*x**4 + g*x**2 + j + h*x**3 and give g.\nAnswer: -88","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the second derivative of -304*z**3\/3 - 48*z**2 + 873*z. Differentiate v(t) wrt t.\nAnswer: -608","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -p + 7 - 4, -3*q = -4*p - 3 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + w**2)*(5 + 2*w**3 - 2 - 2).\nAnswer: 2*w**5 + w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 999577723 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 12290 to the power of 1\/2, to the nearest integer?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8967996 divided by 166074.\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -24*p**2 + 4*p. Suppose 10*r = 15*r - 10. Let j(x) = -12 - r*x**2 + 7*x**2 - x + 12. Let n be (-10)\/(-15) - (-44)\/(-3). Determine n*j(g) - 3*w(g).\nAnswer: 2*g**2 + 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -50 + 52. What is the smallest value in d, 0.07, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that 4*b**4 - 236*b**3 - 7016*b**2 - 13776*b + 381024 = 0.\nAnswer: -14, 6, 81","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -24566, -603, -5 in ascending order.\nAnswer: -24566, -603, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3523864 is divided by 55?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 30 = -0*g. Suppose 3*v = 2*v + g. Find the third derivative of 7*x**2 - x**2 + 3*x**2 - 6*x**v + 2*x**6 wrt x.\nAnswer: -480*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the third derivative of -i**8\/2352 + i**6\/840 - 10*i**2. Factor r(c).\nAnswer: -c**3*(c - 1)*(c + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bbb when three letters picked without replacement from {b: 10}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 6*z - 6 + 6. Let m(k) = 52*k**2 - 23*k**2 - 26*k**2. Give v(m(p)).\nAnswer: 18*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of -29.4 and -1743111.\nAnswer: 51247463.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -94372 or -94375?\nAnswer: -94372","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 93*w**2 - 4*w - 47*w**2 - 45*w**2 - 3. Determine f(7).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3456665*o**2 - 3458757*o**2 + o - o + 0*o**2 + 6*o**2 - 4*o**2 + (1 - 1 - o**2)*(1 - 3 + 3) to the form n*o**2 + x*o + f and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the first derivative of 5*s**3\/3 + 365*s**2 + 26645*s + 7342. Factor g(z).\nAnswer: 5*(z + 73)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ce when two letters picked without replacement from {c: 6, e: 13}?\nAnswer: 13\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 53 divide 17066?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5 or 3252113?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 74 a factor of 58016?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 7 - 1640206?\nAnswer: -1640199","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e, 1 x, and 1 h when three letters picked without replacement from nxxhoce.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-x - 3*x + 3*x)*(-1 - 4 + 3 + 3*x).\nAnswer: -3*x**2 + 2*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*v - 133*v + 62*v - 112*v - 43*v.\nAnswer: -215*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -9*f. Let c(v) = 27*v**2 - 74. Calculate c(z(h)).\nAnswer: 2187*h**2 - 74","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ypvyvkkp. What is prob of sequence yky?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 68 - 37 - 31 + 2*w. Let t be (6\/5)\/((-3)\/(-10)). Let k(o) = -3*o**3 - t*o + 5*o + 4*o**3. Give 2*k(h) - s(h).\nAnswer: 2*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1124?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1 (b) 2.62 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 30 + 664635?\nAnswer: 664665","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3105462?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3900 = 265*k - 5*k for k.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = 2*p - 125, 5*w = 6*p - 5*p + 191. What is the remainder when 270 is divided by w?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = 5*z - 0*w - 35, 5*w = -2*z. Suppose -z*a + 220 = -9*a. Is -55 > a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 4279009*d - 9. Let g be a(1). What is g rounded to the nearest 100000?\nAnswer: 4300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 102\/(-136) - 76\/(-12)*12\/(-112)?\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -17.2 - 1.8. Let t = 19.5 + j. Which is the second biggest value? (a) t (b) -2.4 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (14\/(-210))\/(((-4)\/9)\/(-4)).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 131 - 43. What is the greatest common factor of q and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5367.\nAnswer: 3, 1789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7.99 - -8. Let z = l + -5.01. Which is greater: z or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1235512 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(-5) + (-4)\/(-20).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -35*b**3 + 125*b**2 - 45*b - 45.\nAnswer: -5*(b - 3)*(b - 1)*(7*b + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by 369?\nAnswer: -2\/369","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 34 + -20215b0?\nAnswer: -2021578","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 99*b**2 + 8 - b + b - 95*b**2 as i + x*b + p*b**2 and give i.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7140\/(-765)*1\/(21\/(-90)))\/2.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 64.90245 centimeters in micrometers?\nAnswer: 649024.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3170087 minus 4?\nAnswer: 3170083","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -106 + 104. Let w(r) = 3350005*r + 1. Let o(v) = 3350004*v + 2. Let u(x) = 3*o(x) - 2*w(x). Let c be u(n). Round c to the nearest 1000000.\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6 + -3. Suppose 0 = -s*c + 3*i - 6 + 33, -5*i = 5*c + 5. Suppose 0 = c*v + v - 20. Solve -v*g + 15 = k, -3*k - 2*g = 3*g - 17 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -2*x - 12. Is a(-11) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4*(9\/(-48))\/1. Let w = -7.9 + 5. Let m = 3 + w. Which is the closest to m? (a) g (b) 4 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 12, -0.31, 1\/4, -1?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(475) - (sqrt(475) - (-4 + 4 + sqrt(475))))**2 + sqrt(475).\nAnswer: 5*sqrt(19) + 475","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:29 AM and 3:31 PM?\nAnswer: 302","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.35 - -0.05. Let m = -0.2 - -0.3. Sort 0.3, q, m.\nAnswer: m, 0.3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by 96044\nAnswer: 3\/96044","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 155 - 916?\nAnswer: -761","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 - 5 = -3*a, 0 = 4*k - 3*a + 7. Suppose 0 = -3*i + 2*b + 71, -5*b = 5*i - k*b - 150. What is the common denominator of (-30)\/i*(-12)\/(-2) and -34\/11?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3885*m**2*p**2*w - 38*m**2*p**2 - 2*p**2*w + 1837626*p + w - 1 wrt m?\nAnswer: -7770*m*p**2*w - 76*m*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p + 3*p = -3 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 528?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sum -60874.21 and 0.1.\nAnswer: -60874.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-340)\/(-6)*6\/5. Suppose -65 = 2*f + g, 3*f + 25 = -3*g - v. Let o = f - -37. Solve o*y = -0*y - 15 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 289 is divided by 29.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 5*z - 543 = 0, -23*i = -17*i + 3*z - 1593. What is the smallest common multiple of i and 8?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x - v - 21 = 0, 4*x + 4*v - 512 = -548 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 55 = 5*y, 2*h = -0*h - 3*y + 37. Let g = -13 + h. Is (63\/6 - g)*26 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:39 AM and 3:14 AM?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/((-3*(-2)\/(-15))\/2).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 165 and 5235.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*a**3 - 2*a**4 + 2*a**3 + (1 - 1 - a)*(-2*a + 2*a + 2*a**3).\nAnswer: -4*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 228900 to the nearest one hundred thousand.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*w - 19*w + 885 = 0. Let s be (-1*(1 - -58))\/(8\/(-16)). Calculate the highest common factor of s and w.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.49, 33, -18 in descending order.\nAnswer: 33, 0.49, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, q: 1, z: 1}. Give prob of picking 1 z and 1 f.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 4*n - 25 = -o, 2*n + 10 = 0. Calculate the remainder when 29 is divided by (-77)\/o - 18\/(-30).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 68 and 14.\nAnswer: 476","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 (base 13) in base 3?\nAnswer: -222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-4)\/2)\/((-1)\/5). Solve -3*f + 2*o + h = -2, 4*o - 12 = -3*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 528450 by -10569.\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 56, 0, 1, 5 in decreasing order.\nAnswer: 56, 5, 1, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w**3 + 12*w**2 + 23*w + 19. Give a(-10).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -3*r + 6. Let z(y) be the third derivative of r + 1\/3*y**3 + 1\/12*y**4 - 5*y**2 + 0*y. Differentiate z(q) with respect to q.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*g - 3*s - 69, -25 = 4*g + 4*s - 73. Suppose -g = -4*w + 5. What is the third derivative of 0*h**2 + h**5 + h**2 + 0*h**w wrt h?\nAnswer: 60*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2011022200 - 1112?\nAnswer: -2011101012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5669355527 to the nearest integer?\nAnswer: 75295","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 55343 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 367*g + 371. Let y(s) = -367*s - 370. Let n(o) = -5*u(o) - 6*y(o). Differentiate n(m) with respect to m.\nAnswer: 367","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3550 and 1090134?\nAnswer: 27253350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (1*1*sqrt(720) - sqrt(720)) + (1*sqrt(720)*-3 - sqrt(720)) + -4 + 0)**2.\nAnswer: -96*sqrt(5) + 11521","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 11\/244865 bigger than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:12 AM and 10:20 AM?\nAnswer: 488","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 35 + 520?\nAnswer: 555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3948628154?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -261 or -2353\/9?\nAnswer: -2353\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n**3 - 232*n**2 + 277*n - 10642. Calculate c(231).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the third derivative of -m**9\/128520 + m**7\/21420 - 11*m**4\/6 + 2*m**2 - m. Let c(f) be the second derivative of g(f). Let c(u) = 0. What is u?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(264)\/(sqrt(44)*3))\/(sqrt(12) + sqrt(144)\/sqrt(108) + sqrt(12) + 2*sqrt(108))*6.\nAnswer: 3*sqrt(2)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(1*(-1)\/(-5)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2364499457\/322330 + -243\/128932. Let j = z - -7333. Calculate the common denominator of j and 113\/42.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -7*y**4 + 2*y**3 + 28*y**2 - 8*y = 0. What is y?\nAnswer: -2, 0, 2\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8842.704ml to litres.\nAnswer: 8.842704","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*l + 99515 = 98585 for l.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1922152 divided by -4?\nAnswer: 480538","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w\/w**(-3\/2))\/w)\/(w*w\/(w**(3\/2)\/w)*w))**(-31)\/(((w\/(w\/(w\/w**(1\/4))))\/w*w*w*w)**(2\/49)\/(w\/(w*((w**(2\/5)\/w*w)\/w)\/w))**(-24)) assuming w is positive.\nAnswer: w**(-3681\/490)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 g when three letters picked without replacement from gigigggggigg?\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -10010011 (base 2) in base 6?\nAnswer: -403","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3\/8, 2, 274, -10\/9, -2?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18294?\nAnswer: 2, 3, 3049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 17145920 and 86240?\nAnswer: 1760","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4717 and 89.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -17 + -8 + 45 + (6 - -1).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = 3*g - 27. Let w be (12 - 9)*(g - 0). Solve t = -2 - w for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 146 bigger than 17690\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l = -4*j - 10, 11*j + 4*l + 8 = -2*j + 12*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 4*s - 4*g, -4*s - 4*g - 6 = 10. Let n = 2 + s. Let p = -65\/3 + 22. Are n and p nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l + 90 = 5*r, l + 3942*r - 6 = 3947*r for l.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 7182178?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -129 - -1162\/9. Let c(p) be the first derivative of b*p**2 + 0*p - 1 - 4\/27*p**3 + 1\/18*p**4. Determine r, given that c(r) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o**2 + 8*o + 52. Let k be a(12). Suppose -4*m + 5*q = -1843, -6*q = -k*q - 10. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of -10 - (-30)\/5 - (-152 - 2) and 1650?\nAnswer: 1650","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15403 is divided by 610?\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 2*d**2 - 14*d - 38. Let v be l(9). What is the nearest to -1 in 456, v, 1?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (92\/(-4))\/(4\/(-8)).\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -45\/11 and 7\/91324748?\nAnswer: 1004572228","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 48\/100*(-17 - 1580\/(-90))?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1, 2\/3, 4910?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, w: 2, q: 4, s: 3, u: 2, t: 2}. What is prob of sequence ut?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.59663534 rounded to 4 decimal places?\nAnswer: 0.5966","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -2311132 (base 4) in base 3?\nAnswer: -120221011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ppdqnqzqq. Give prob of picking 1 d and 2 q.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19 + 19 - 22*j**2 - 305*j**2 - 15.\nAnswer: -327*j**2 + 23","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -13 + 8. Let p be (m\/15)\/(2\/(-12)). Solve -p*q - 10 = 2*q - l, 2*q = -2*l for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3569 is divided by 1158.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 1, -16, -3276, 3 in ascending order.\nAnswer: -3276, -16, -5, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that -464\/9*f + 70*f**2 - 18*f**3 + 32\/3 = 0.\nAnswer: 4\/9, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 10 = -2*q. Let i = 8.86 - 8.46. Which is the closest to -0.15? (a) q (b) i (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r**3 + 45*r**2 + 45*r + 50. Let o be b(-44). Solve o*f - 18 = -3*y + y, -f = -3 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 7 + 1780?\nAnswer: 1787","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fjtt when four letters picked without replacement from {t: 2, j: 2, f: 1}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 655 minutes after 6:54 AM?\nAnswer: 5:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (428\/(-84) - -5) + 172\/42. Solve x*t = 6*t - 6 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 624 and 48.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 72431727.44797 plus 0?\nAnswer: 72431727.44797","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4.2 + 8.5. Let x = -0.07 + -0.23. Let q = n + x. What is the second smallest value in -5, q, -2\/17?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 19 + -17 + 16 + -7 - 34?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 216 + -215.7. What is the smallest value in -10, -2\/17, o?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2 + 2. Suppose 12 + 0 = s*u. Suppose 0 = -2*r + 5*l + 18, -20 = -2*r + u*l + l. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n, 1 b, and 1 o when three letters picked without replacement from {g: 2, r: 1, l: 3, o: 6, n: 4, b: 3}.\nAnswer: 24\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s, 1 n, and 1 y when four letters picked without replacement from {y: 3, s: 3, q: 6, r: 4, n: 3}.\nAnswer: 9\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2750, 5727, 9278, 13691, 19254, 26255, 34982, 45723?\nAnswer: 58766","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -8501900 to the nearest one hundred thousand.\nAnswer: -8500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -282 - -546. Suppose -a = -95*u + 89*u. What is the greatest common factor of 154 and u?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3702 to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 67 + -80.7. Let m = -13.8 - h. What is the nearest to m in 5, -2\/7, -2?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e when two letters picked without replacement from {e: 2, x: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*y = 8*y - 2106. Suppose -6*f + y = -3192. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 3*k - 225 = -2*n, -n - 5*k = -105. What is the least common multiple of n and 16?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8042 to the power of 1\/3, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -42203, -84323, -126443, -168563, -210683, -252803?\n\"Answer: -42120*p - 83","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*y - j = -30*y + 3620, 0 = -2*j + 10. Sort 5, 4, y.\nAnswer: y, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 65 and 455.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2322101333 (base 4) to base 2.\nAnswer: -10111010010001111111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (0\/((-2)\/(-2)))\/1. Suppose g = v - 7 - 8. Solve -t = -4*t - v for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 368 divide 321614337?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -74095 rounded to the nearest 100?\nAnswer: -74100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 55098128 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 152.517 + -152.417. Let l = -1 + 1.5. Which is the second biggest value? (a) -1 (b) l (c) r (d) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1193?\nAnswer: 1193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 5*d - 30 = 0. Let t(g) be the second derivative of 0*g**3 + 2*g + 0 + 0*g**4 + 0*g**d + 1\/2*g**2 - 1\/30*g**6. Differentiate t(o) with respect to o.\nAnswer: -4*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -11442221201 - 10?\nAnswer: -11442221211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2*-1*(-6 + 4). What is the first derivative of -k*c**4 + 2 - 8 + 0*c**4 - 7*c**4 wrt c?\nAnswer: -44*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 17855*p**4 - 107*p**3 - 41990*p**2 + 9*p wrt p?\nAnswer: 428520*p - 642","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mff when three letters picked without replacement from {f: 7, m: 6}?\nAnswer: 21\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 43\/33900 and 133\/2334450?\nAnswer: 527585700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 603396458?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 101295?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -41777 <= -41776?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2245\/10 - (-6)\/(-12). Suppose -115*z + t = -114*z. Is z a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 153503 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:07 AM and 6:53 PM?\nAnswer: 466","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the second derivative of q**4\/6 + 52*q**3\/3 + 676*q**2 + q - 10. Factor l(i).\nAnswer: 2*(i + 26)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5 and 148162.3.\nAnswer: -740811.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 342 (base 6) in base 9?\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8 - 3. Let z = -0.066 + 0.043. Let h = -1.023 - z. Which is the third biggest value? (a) -2\/7 (b) 4 (c) u (d) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a decade in years?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5262659 and 10324?\nAnswer: 2581","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 11*f**2 - 11*f - 6*f + 3*f + 9*f as t*f + i*f**2 + b and give i.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5 - -124544433?\nAnswer: 124544442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 360431 (base 10) to base 12.\nAnswer: 1546bb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(1700) + sqrt(1700)*5 - sqrt(1700))**2*2.\nAnswer: 85000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7\/5, 1, -1.745, 1\/3, -0.3, 2 in ascending order.\nAnswer: -1.745, -0.3, 1\/3, 1, 7\/5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s**2 - 15*s - 29. Suppose -5*q = 3*l - 115, -3*q - 2*q + 10 = 0. Calculate the least common multiple of l and o(-10).\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d + 47. Let m(c) = 3*c + 79. Let i(s) = -3*m(s) + 5*u(s). Let j(w) = 15*w + 9. Give 9*i(f) + 2*j(f).\nAnswer: -6*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -66 + 1 - 6*t - 50. Let j be h(-19). Let o(z) = -20*z. What is o(j)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49 a factor of 1977786?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 4 = -3. Let w be 23 - (-2 + b)*1. Suppose 142263*i - 142245*i - 864 = 0. What is the greatest common divisor of w and i?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1\/2 and -5 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1032308085 a multiple of 60?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -176*r + 23104 = -100*r. Calculate the least common multiple of 5092 and r.\nAnswer: 20368","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7976, 31935, 71878, 127805?\nAnswer: 199716","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 6433 to the power of 1\/2, to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 424 minutes after 7:38 AM?\nAnswer: 2:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -253?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wrrr when four letters picked without replacement from wwwfwrwrrwwrw?\nAnswer: 8\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.6106 to 2 decimal places.\nAnswer: -1.61","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 384 - 112. Suppose 5*s = -h - 243. What is s rounded to the nearest one hundred?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -102714637\/8 or -12839329?\nAnswer: -12839329","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0 - 2 - (-242 - -243). What is the nearest to -1 in j, 5, 4, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 1, j: 1, m: 7, f: 9}. Give prob of picking 1 k, 1 f, and 1 m.\nAnswer: 21\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the third derivative of j**5\/100 - j**4\/40 - 14*j**2. Factor n(u).\nAnswer: 3*u*(u - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 2*q + 1 = -11, 6 = 3*z - 4*q. Let y be 3*(-1 - z)\/1. Let s be (y\/(-2))\/((-9)\/12). Solve g - 1 = -s for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 367 + -1 + (3 - 10).\nAnswer: 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 822238, 1644473, 2466708?\nAnswer: 3288943","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 93136?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 0 + 4 + 4 - 2 + d**2 + 4*d. Let q = 28 - 12. Let a be (q\/4)\/((-1)\/1). Calculate k(a).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 84\/13 at least as big as 7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 381 divide 196282437?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*x - 31*x - 4*a = -24, 4*x + 11 = 3*a. Let j be 3 - (-1 + (-2 - -2)). Put j, x, 2, -4 in increasing order.\nAnswer: -4, x, 2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 40 + -51346?\nAnswer: -51306","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*b - 92*b + 2482 = 17*b for b.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 73896674?\nAnswer: 2, 59, 431, 1453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2 - -4. Let m(g) = -g**3 - g**2 - g. Let i be m(0). Factor -k**3 + 2*k**x + 0*k**3 + i*k**2 - k.\nAnswer: -k*(k - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = g. Let x(v) = 2*v + 7*v + 7*v - 4*v. What is x(j(y))?\nAnswer: 12*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 p when two letters picked without replacement from {x: 1, t: 4, k: 10, p: 2}.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*t**3 - 9*t**3 - 11*t**3.\nAnswer: -3*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-587 + 847 + 542)*(-3*r**2 + 7*r**2 - r**2).\nAnswer: 2406*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1.6 - 71.4. Let n = -72.99982 - b. Round n to four decimal places.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + 18 + -12 - -7 - (-1 - -14)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 250\/(-75)*-3*1\/(-2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9276 is divided by 310.\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 255*s**5 - 14*s + 7 wrt s?\nAnswer: 5100*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -6 (b) -115 (c) -5\/3 (d) 3\/2 (e) 0.13 (f) 25\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.61 and -14658?\nAnswer: 8941.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is a + 4d2f8b?\nAnswer: 4d2f95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (5*4*(sqrt(612) + 0))**2.\nAnswer: 244800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -125 - -190. Suppose 31 = 3*z - 8. Calculate the greatest common divisor of z and a.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 329253 is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -19? (a) 0.5 (b) -1 (c) 0.011 (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5837 is divided by ((-13344)\/(-192))\/(2\/4).\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 4 = 2*g, -f + 1 = 2*g - 4*f. Suppose -5*z = -3*q + 16, -7*z = -3*z + g. Solve -24 = 4*a - q*i, 0 = -2*a + 3*a - 4*i + 13 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 1630243 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 91601507 divided by 6?\nAnswer: 91601507\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 61 and 305?\nAnswer: 305","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s**3 - s**2. Let c be g(1). Let h(i) be the second derivative of 0*i**2 + 0*i**3 - i + c + 1\/6*i**4. Let u(b) = -2*b**2. Calculate h(u(w)).\nAnswer: 8*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -143 - ((11 - ((33 - -2) + -9)) + 4) - -15?\nAnswer: -117","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1515010 to the nearest integer?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 6, g: 3, r: 5, v: 1}. What is prob of picking 2 n?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (7\/2 - (-32)\/64) + 2. Let k(z) = -2*z. Let u be k(-3). Let f(j) = 7*j - b*j - 13 + j**2 + 6*j - u*j. What is f(0)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*q - 23 = -17*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -818*l - 7302. Determine c(-9).\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13 = z - 2*b, 536850 = z + 3*b + 536838 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 128029 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3)\/(-4) - (-22)\/(-8). Is (-3 - -4) + (25904 - w) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 7*(2 - 56\/49). Solve 0 = -j*a - 159 + 141 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 10 = 2. Suppose -7*r + 522 = -2*r + 2*j, -g*r + j = -207. Suppose -r = -2*d + 2*s, 0 = 5*d + 4*s - s - 260. Is d a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g**2. Let b(n) = -711*n - 19673. Give b(v(c)).\nAnswer: -711*c**2 - 19673","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -16*v - 69. Let l be g(-4). Is l != -6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -59 and -936018.\nAnswer: 55225062","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -17 + 19. What is the tens digit of (-168)\/(-10) + v\/10?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = w**3 - w**2 + w - 2. Let c(k) = 6*k**2 + 8*k + 1. Let m(d) = c(d) - z(d). Determine m(8).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 11347 + 25228. Is -4 - -8 - k\/(-5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d**3 + 17*d**2 - 21*d + 42. Let p be x(14). Suppose -s + 38 = i - 2*i, 0 = 4*s + i - 172. What is the greatest common divisor of s and p?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 58*o + 2875. Calculate g(-49).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 5 (b) 111.23 (c) -1\/4 (d) -5 (e) 4\/45 (f) 1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -7702654*h**2 + 4002980 wrt h?\nAnswer: -15405308*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 5, m: 5}. Give prob of sequence mrr.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4\/3 in 5, 0, 0.0496?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 84*u**3 - 77*u**3 + 0.\nAnswer: 7*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 2*g**2 - 23*g + 51. Let y be c(9). Solve y*s = 14 + 4 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b**3 - 50*b**2 - 488*b + 26. Calculate t(-8).\nAnswer: 218","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.2 (b) 101 (c) -2\/13 (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -93486.9 + 89297. Let x = -4217.8495 - a. Let w = x + 28. What is w rounded to two dps?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-28)\/(-4)*288\/84. Calculate the highest common factor of 12 and s.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*l**5 - 633*l**4 - 25122*l**3 - 6241*l**2.\nAnswer: -l**2*(l + 79)**2*(4*l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/(-9) + 4311\/243*-3. Let j = -51 - x. Suppose -11 = -2*b + 3*v, 4*v + 8 = -4. Is b >= j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 41*d**2 + 28*d + 28. Give a(-1).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 206*a + 1446. Give p(-7).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4 + 8*t + 3 + 1 + (-3 + 4 + 4)*(t - t + 2*t).\nAnswer: 18*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 597 minutes after 5:11 AM?\nAnswer: 3:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-19*h + 90 - 90 - h - h + h + 4*h - h - 2*h + 0*h - 2*h + 3*h + (-4 + 3 - 1)*(-5*h + 3*h + 0*h) + 0*h + 4*h - 3*h - h + 2*h - 3*h)*(-2*h - 3*h + 4*h).\nAnswer: 15*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:40 PM and 6:49 PM?\nAnswer: 249","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -17 * 0.186.\nAnswer: -3.162","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 1\/3, -33.8, -4?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -8*z**2 - 1. Let y(b) be the first derivative of -16*b + 3\/2*b**2 - 6. Let u be y(5). What is f(u)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4286.571? (a) -5 (b) 0 (c) 3 (d) 3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6773017 - 6773090.582415. Let i = l + 89.58241556. Let n = i - 16. What is n rounded to 7 decimal places?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of (21294\/(-8) - (-1)\/(-4))*137\/(-137)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 12948 and 780?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47 = 3*g - 10. Let p(c) = c**3 - 19*c**2 - c + 6. Let a be p(g). Let o be 2\/a - 160\/(-26). Solve o = -5*j + 3*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-30)\/(-4)*16\/(-5). Let d be ((-6)\/(-24))\/((-2)\/m). What is the derivative of -5*q**3 + 20 - 5 - 10*q**d + 6*q**3 wrt q?\nAnswer: -27*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5 and -414.\nAnswer: 2070","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (376*j - 636*j**2 - 376*j)*(j - 4*j + 2*j + 3) - 2*j**3 - 1 + 1.\nAnswer: 634*j**3 - 1908*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1279935416?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o**2 - 2*o + 1. Let z(w) = w**3 - w**2 + 1. What is f(a) - 2*z(a)?\nAnswer: -2*a**3 + 3*a**2 - 2*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d**(2\/5)\/d)\/(d**3\/d))\/(d**1)**(-1\/21))\/((d*d**(-4))\/(d\/d**(-1)*d))**(2\/53) assuming d is positive.\nAnswer: d**(-12944\/5565)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1659*q + 111319 + 7525 = 1446*q - 2999*q for q.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 11\/2 of a millennium?\nAnswer: 550","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2, 14, 28, 44, 62, 82, 104?\nAnswer: 128","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -330 - 39*i**3 - 17*i**2 + 330 wrt i.\nAnswer: -234","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 36 and 18676.\nAnswer: 168084","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 0.1, 3\/4, 2, 584?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20 (base 5) to base 8.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r**3 - 4*r**2 - r + 4. Let d be l(-3). Let q be d*(-1)\/(-6)*-6. Solve 8 = -q*a + 4*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k**2 - 7*k + 14. Let x be (-17)\/(765\/72) - (-15)\/25. Let m(w) = w - 1. Calculate x*y(c) - 5*m(c).\nAnswer: -c**2 + 2*c - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 86 - 51. Calculate the greatest common factor of d and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 14 = -n, -3*n + 6 - 4 = c. Suppose -c*a + 20 = 0, -4*r + 2 = -3*a - 2. Suppose -20 = -4*u + 12. Calculate the least common multiple of r and u.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3763.\nAnswer: 53, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence weew when four letters picked without replacement from {e: 5, p: 2, w: 2}?\nAnswer: 5\/378","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l**3 - 2*l**2 - 7*l + 16. Let n be p(2). Solve n*x = -2*r - 2, 2 = 2*x + 5*r + 1 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -904, -514, -124?\nAnswer: 266","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 11\/(-44) - (2 - (-34)\/(-8)). Let v(q) be the second derivative of -8*q - 1\/4*q**4 - q**h + 0 - 3\/4*q**3 - 1\/40*q**5. Factor v(j).\nAnswer: -(j + 1)**2*(j + 4)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-210)\/459 - ((-370)\/259 + (11 - 1234\/126)).\nAnswer: -4\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 160 minutes after 3:13 AM?\nAnswer: 5:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -31*d**2 + 102*d**2 - 31*d - 33*d**2 - 30*d**2 - 11*d to z*d**2 + w*d + q and give w.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2511?\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10230 is divided by 9848?\nAnswer: 382","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -42656*-2\nAnswer: 85312","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 35*x + 491 - 561. Let q(k) be the first derivative of 0*k**x + 22 + 32\/3*k**3 + 0*k + 5\/4*k**4. Find the third derivative of q(d) wrt d.\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.2 - -0.3. Let g = 7549.5001 + -7549. Let o = d - g. Round o to 3 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 845646724 to the power of 1\/4, to the nearest integer?\nAnswer: 171","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 21*a**2 - 17*a + 17*a - a**2. Let s(z) = -2*z. Determine l(s(m)).\nAnswer: 80*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 2*c**3 - 222*c**2 + 2890*c + 46. Calculate x(15).\nAnswer: 196","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:31 PM and 11:05 PM?\nAnswer: 274","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7, -137, -529, -1295, -2561, -4453, -7097, -10619?\nAnswer: -15145","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -217 + 216. Let p = 82 + -40. Let d = p - 169\/4. What is the second biggest value in d, -2, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1439740 - 1439880.0182. Let b = t + 307.0103. Let w = -167 + b. Round w to three dps.\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.5 + -3. Let x = y - -0.7. Let s = x + 1. What is the biggest value in s, -0.2, -4?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o + 4. Let z be a(0). Suppose 4*q - 4 = 5*q, -g - q - 1 = 0. Suppose -z*l = 3*k + k - 32, g*l + 4 = 4*k. Sort l, -1, 0 in decreasing order.\nAnswer: l, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 * -0.126\nAnswer: 0.126","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 210112102001 (base 3) in base 2?\nAnswer: 1100111011110100111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3\/4 (b) -38\/21 (c) 3 (d) 8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 128852208?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kl when two letters picked without replacement from elklkleeleeleel.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1408\/(-32))\/(1*-2). Let k be 2\/(4\/(-5))*-2. Suppose 0 = -k*n - 0*n + 10. Calculate the highest common divisor of n and p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 20121210220 + -11?\nAnswer: 20121210202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the third derivative of 37*c**4\/24 - 10*c**3\/3 + 15*c**2. Find the first derivative of k(i) wrt i.\nAnswer: 37","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j**3 + 18*j**2 + 12*j + 5. Suppose -4*h + 60 = -9*h + 5*x, 0 = -4*h - 2*x - 72. What is the hundreds digit of z(h)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*r - r + r)*(6 - 9 - 8*r + 0*r).\nAnswer: -16*r**2 - 6*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -26641\/133 - -1397\/7. Which is smaller: s or 0.1?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/10 - (19 + 495\/(-25))?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -74 - -53. Let n = -12 - q. Is 9 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 483067620 a multiple of 63?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the second derivative of 3466667*x**3\/6 - x**2\/2 + 2*x. Let s be g(3). Round s to the nearest 1000000.\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34 + 22 = 14*z. Solve 8*k = z*k - 12 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -12 - -16. Let f = t - 4.8. Which is greater: f or -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-730)\/(-7) + 6)*(-8 - 92\/(-8)) is divided by 205.\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1940025784?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 105442 + -5?\nAnswer: 105434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 96 = -38*o + 2*k, -4*k + 0*k + 3*k = 5*o + 48 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72 = 5*m - 2*f - 43, -38 = -3*m - 5*f. Suppose 0 = 5*i - 173 + 53. Calculate the lowest common multiple of i and m.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from egkeeeekwgewee. What is prob of picking 1 k, 1 g, and 1 w?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -3 * -36.25\nAnswer: 108.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b**3 - b**2 - 2*b. Let p be m(0). Let h be 1 - ((0 - 0 - 2) + p). Factor 0 + 0*t + 22\/7*t**h + 2*t**5 - 32\/7*t**4 - 4\/7*t**2.\nAnswer: 2*t**2*(t - 1)**2*(7*t - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5863 + 5866. Let t = 20 - 20. Which is the smallest value? (a) n (b) -3 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*n = 2*n + 9*n - 4*n. Factor 4\/3*x**2 - 10\/3*x**5 - 16\/3*x**4 - 2\/3*x**3 + n + 0*x.\nAnswer: -2*x**2*(x + 1)**2*(5*x - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 45 and 3294?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4 + -15. Let t = 19 + s. Let v be t\/(-12) + (-5)\/(-3). Solve -6 = i - v for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2012210100222 (base 3) to base 14.\nAnswer: 228c67","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -779*s**2. Let x(f) = -17*f - 1. What is x(o(h))?\nAnswer: 13243*h**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 56 and 1162.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 6 - 1)*(1 - 1 - h**3) + (0*h + 0*h + 2*h**2)*(-3*h + 4*h - 2*h) + h**2 - h**2 - h**3.\nAnswer: -6*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1937 + 983. Let x = i - -557. Let d = x + 396.9999839. What is d rounded to six decimal places?\nAnswer: -0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the first derivative of -m**4\/12 + 8*m**3\/9 + 23*m**2\/2 - 84*m + 3105. Factor z(w).\nAnswer: -(w - 12)*(w - 3)*(w + 7)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 955544?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 5246 a multiple of 43?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 2, y: 7, o: 5, e: 2, g: 2}. Give prob of sequence bbo.\nAnswer: 5\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*b = 11*b + 2. Sort -6, 3, b in increasing order.\nAnswer: -6, b, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 0 - 11782864?\nAnswer: -11782864","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -z + x - 30, -2*z + 53 = -5*x. Let m = z + -28. Which is greater: -1 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w**2 - 6*w - 2. Let d = -23 + 18. Let b be g(d). Solve b = 3*k - 6 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 628310 and 4150?\nAnswer: 830","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.1 and -1899.\nAnswer: -1898.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -725*h - 442*h - 25*h - 1171*h.\nAnswer: -2363*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = 15*h - 144. Suppose -5047 = -h*i + 3689. Does 26 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -1. Let j(h) = 40*h**3 + 3. Calculate 2*j(w) + 6*t(w).\nAnswer: 80*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3875 - 6077. Is (-16)\/56 - a\/14 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 6*s - 9. Let q(v) = v - 3. Determine -4*q(x) - u(x).\nAnswer: -10*x + 21","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2097652 is divided by 5624.\nAnswer: 5524","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 363 and 1769559?\nAnswer: 19465149","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -7*k + 371. Let l be m(34). Suppose 2*j + 459 = 5*j + 3*t, -j + 3*t + l = 0. Calculate the remainder when j is divided by 39.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q + 14 = 2*t, -2*q + 23 = 12*t - 13*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the third derivative of -5*a**8\/336 + a**7\/21 + 7*a**6\/12 + 2*a**5\/3 - 65*a**4\/24 - 25*a**3\/3 + 46*a**2 + 1. Find w such that b(w) = 0.\nAnswer: -2, -1, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 649, 992, 1557, 2338, 3329, 4524, 5917?\nAnswer: 7502","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -30*j + 22 wrt j.\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j**2 - j + 1. Let l(y) = 3*y - 4. What is l(r) + q(r)?\nAnswer: -r**2 + 2*r - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 155 minutes after 5:26 AM?\nAnswer: 8:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 323244.7 minutes to microseconds.\nAnswer: 19394682000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (6\/(-4))\/((-6)\/(-1208)). Let u = -126 - w. Is u\/4 + (-1)\/1 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0, -2\/9, 9?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -101659\/12 - -8461. Calculate the common denominator of -53\/88 and v.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 g and 1 b when four letters picked without replacement from bbvbbvvvbgbbb.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, x: 5, r: 7, s: 1}. What is prob of sequence xxr?\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (20 - 18) + (-9 - -1)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 1063.242 centuries?\nAnswer: 106324.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/11*w**5 - 8\/11*w**2 + 6\/11*w**4 + 0*w**3 + 0*w + 0.\nAnswer: 2*w**2*(w - 1)*(w + 2)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 90 and 3186570.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 17 = 4*q, 2*q - 3*i = -q + 6. Suppose w = -w - s + 7, -s = -4*w + q. Suppose -10 = -g - g, 3*d + w*g = 16. Solve d*l = -l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -629 - -37a?\nAnswer: -27c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*t + 6*t - 22*t - 7*t**2 + 2*t**2 + 3*t + 2 to the form j*t + h + f*t**2 and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h**2 - 17*h - 25. Calculate the least common multiple of 1645 and r(-9).\nAnswer: 1645","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i - 9*z + 285 = 6*z, -25*i + 229 = -27*i + 5*z + 134 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 16\/6 - 2\/3. Suppose 4*j - 47 = -5*f, -k*j + f + 51 = 10. Suppose -2 = -0*z - 2*z, -4*l = 2*z - j. Put 2, l, -4 in decreasing order.\nAnswer: l, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 79 at least as big as 79?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 237*f = 976*f - 19806 - 7567 + 1508 for f.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10b5 (base 15) to base 6.\nAnswer: 24225","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 174 + -91. Suppose -2*r = -3*z - 128, 4*r + 2*z - y = 141. Let l = r + -47. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -175 - -175.2. Let m be -3 + 2 - (-10)\/7. Let p = 0.08 + -0.08. Which is the second biggest value? (a) p (b) i (c) m (d) 2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/5, 2, 1\/61, -2 in descending order.\nAnswer: 2, 1\/61, -3\/5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.891 rounded to zero decimal places?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 18\/59 + -1747\/7080. Let q(r) be the third derivative of 0*r**4 + r**2 + z*r**6 + 0*r + 1\/15*r**5 + 0*r**3 + 0. Find the third derivative of q(b) wrt b.\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 47, 95, 143, 191, 239?\n\"Answer: 48*p - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.13 times -3719.46?\nAnswer: -4202.9898","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 100.135797 from -128.814.\nAnswer: -228.949797","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 less than 567.4142?\nAnswer: 567.1142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 12992 and 112?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(15) - sqrt(375))\/sqrt(5) - sqrt(30)\/(sqrt(1210) + (sqrt(1210) - -1*sqrt(1210)) - sqrt(1210)).\nAnswer: -89*sqrt(3)\/22 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/((-1)\/30)*(-88)\/(-176). Which is smaller: 19 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 21889?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 90629 is divided by 1163.\nAnswer: 1078","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in one tenth of a tonne?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 689814863 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -208 - 248. Let t = 457 + w. Sort 6, 0, t.\nAnswer: 0, t, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -3*a - 14. Let c be i(-7). What is the greatest common factor of 14 and c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.03 + -1.03. Let m = -3 + g. Let a = m + 4.75. Round a to one decimal place.\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -38368460*d + 15329504 with respect to d.\nAnswer: -38368460","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that 5*h**4 - 107445*h**3 + 2144900*h**2 + 42978000*h - 858760000 = 0.\nAnswer: -20, 20, 21469","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 (base 5) in base 4?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 351, 886, 891, -360, -3593, -9534, -18909, -32444?\n\"Answer: -121*z**3 + 461*z**2 - z + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*v - 3*c - 12, 8 = -3*v - 0*c - c. Let l(y) = y**3 + 4*y**2 + 2*y. Calculate l(v).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/3 at most as big as -10\/1131?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 136*r - 139*r = -5*b + 36, 0 = 5*r + 35 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yua when three letters picked without replacement from {z: 1, u: 4, a: 1, s: 1, y: 1}.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -51*t**2 + 664*t. Let u(o) = -240*o - 2. Give u(k(z)).\nAnswer: 12240*z**2 - 159360*z - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 524?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that 2*r**3\/7 - 118*r**2\/7 + 712*r\/7 + 832\/7 = 0.\nAnswer: -1, 8, 52","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4 - 6*w + 4 + (20 - 30 - 27)*(2 - 2 - w).\nAnswer: 31*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 0, -1.\nAnswer: -8, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that a**3 + 208*a**2 + 10589*a - 22018 = 0.\nAnswer: -109, -101, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 10*h**3 - 76*h**2 - 169*h - 36. Calculate k(-2).\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + sqrt(51)\/sqrt(3) + -5 + (sqrt(153) - (sqrt(153) + (5*(sqrt(153)*-1 - sqrt(153) - sqrt(153)) - sqrt(153))) - sqrt(153))\/sqrt(9).\nAnswer: 16*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 6*p**4 - 22*p**3 + 22*p**2 + 5*p. Let d(a) = -5*a**4 + 20*a**3 - 23*a**2 - 4*a. Let x(l) = -5*d(l) - 4*r(l). Find y, given that x(y) = 0.\nAnswer: 0, 3, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**3 + 25131*r**2 - 8579961*r + 727420109.\nAnswer: (r - 169)**2*(r + 25469)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 570 and 114?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1 + (-66)\/18)\/((-92)\/207). Solve -52 = -h*w - 40 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + -4 + (9 - (14 - 22))?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 180\/(5 + -15)*(-50)\/4. Calculate the highest common divisor of t and 36.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1 + 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d**3 - 11*d**2 - 12*d + 22. Calculate n(11).\nAnswer: -110","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w**3 + 27*w**2 - 38*w. Is 18 a factor of u(-28)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -577\/4 + 145. Let z be (115\/(-966))\/((-10)\/8). Which is the closest to 2\/3? (a) z (b) -4 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 324 = -579. Factor 27*j**3 + j + 26*j**3 - 3*j**2 - t*j**3.\nAnswer: j*(j - 1)*(2*j - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 43014.3g?\nAnswer: 43014300000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 2*v - 2*v - v**2. Let p(k) be the first derivative of 2*k**3\/3 + 414. What is c(p(r))?\nAnswer: -4*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2596 a factor of 247955755?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 19681159?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (54\/21)\/((-3)\/(-210)). Suppose -6*t - 3*t = -w. What is the highest common divisor of 70 and t?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7218\/5 - -1450. Factor 12\/5*u**4 + 4\/5 + 2\/5*u**5 + b*u**2 + 28\/5*u**3 + 18\/5*u.\nAnswer: 2*(u + 1)**4*(u + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-13)\/((-130)\/20)*(-2)\/20\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 28322?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Do 134\/13851 and 10 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 9*j - 5. Let x(u) = 17*u - 9. Let c(q) = -11*g(q) + 6*x(q). Let r be c(1). Suppose 0 = -4*d + a + 30, d + r*a - 9 = 5*a. List the prime factors of d.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (161 + 1)*2\/4. Let p(x) = x**3 + 31*x**2 - 4*x - 97. Let v be p(-31). Calculate the greatest common divisor of v and c.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5*61\nAnswer: -305","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/5? (a) 11\/166 (b) -1\/47 (c) 45 (d) 1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3)\/(18\/(-60))*1\/2. Suppose 864 = 3*k + x + x, 2*k - 576 = -5*x. Suppose m - 5*m + d*g = -1087, m + 2*g = k. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 32*s - 8871 - 40569. Calculate the greatest common divisor of s and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4663?\nAnswer: 4663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 31, 2\/13, -1\/4, -3?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m. Let j(b) = -1. Let s = -1 + 2. Let z(r) = -35*r - 2. Let n be 72\/(-39) - 110\/715. Let o(v) = n*j(v) + s*z(v). Determine o(l(y)).\nAnswer: -35*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:14 PM and 6:33 PM?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b**3 - 12*b**2 + 14*b - 6. Let v be d(10). Let s = -29 + -68. Let u = v - s. What are the prime factors of u?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 295*z - 229*z - 563838. Round z to the nearest one hundred.\nAnswer: 8500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + sqrt(5) - sqrt(5)) + sqrt(5))*2 - (-3 + (sqrt(45) - sqrt(5))).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the first derivative of 3*a**5\/5 + 3*a**2\/2 - 6. Find the second derivative of x(j) wrt j.\nAnswer: 36*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*sqrt(245) - sqrt(5)) + (sqrt(245))**2 + -4)*6.\nAnswer: 162*sqrt(5) + 1446","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-11312 - 20*q + 11312)*(6*q - 5*q + 4*q) to the form x*q + g + r*q**2 and give r.\nAnswer: -100","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v**3 + 8*v**2 + 8*v + 24. What is r(-8)?\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Are -19 and 3722 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1424090671 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 7}. What is prob of picking 2 d?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 624*n**5 + 2*n - 68?\nAnswer: 12480*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 313, 635, 953, 1261, 1553?\nAnswer: 1823","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1511564459 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 319*m - 34*m**2 + 88*m**2 + 109*m**2 + 97*m**2.\nAnswer: 260*m**2 + 319*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2927158?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 117 - 59 - 58 - 4*o + o.\nAnswer: -3*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -391 = -2*o + 5*w, -3*o = 10*w - 8*w - 558. Does 34 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 485.5856ug in milligrams?\nAnswer: 0.4855856","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*t**2 + 0*t**2 + 3*t**2)*(1 + 5 - 10) - 4*t**2 + 2*t**2 - t**2.\nAnswer: t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -14, -68, -158, -284?\n\"Answer: -18*c**2 + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 18349 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 846843344, 846843343, 846843342, 846843341, 846843340, 846843339?\n\"Answer: -j + 846843345","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3243?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2736961 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, -1075\/9, 2 in increasing order.\nAnswer: -1075\/9, 2, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = 8 - 68. Suppose 0 = -2*p - 0*p - 2*j + g, 5*p - 3*j = 6. Suppose -7*y = -6*y - 4*r + 12, 0 = 2*y - 3*r + 9. Solve 0 = o - p - y for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0 - 3\/(-1) - -2. Suppose -d = -5*z + 5*s, z + 3 = 2*z - 3*s. Suppose 4*r = -z*r + 56. Is r 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) -4 (b) -0.7 (c) -577 (d) 4\/5 (e) -4\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**(-8)\/z*z**(-5\/6))\/((z\/(z**(-1\/3)*z)*z)\/z)**(1\/25) assuming z is positive.\nAnswer: z**(-1327\/150)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 11\/22 + 0 - (-7)\/2. Suppose 4*i + 8 = 2*v, 18 - 2 = t*v - 2*i. Solve 33 = -2*s + 5*a, -a = v*s - 8*s - 21 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 211, 303, 433, 589, 759, 931?\n\"Answer: -2*l**3 + 31*l**2 + 13*l + 169","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6.48 in 0.5, 5, 4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -62 - -91. Suppose 33*q = s*q. What is the third derivative of 0*k**4 - 14*k**2 + q*k**4 - 9*k**5 + 20*k**2 wrt k?\nAnswer: -540*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -441584 + 37?\nAnswer: -441548","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 167824 greater than 167810?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((j\/(j*j**(1\/4)))\/j*j*j*j)\/j)\/j**(-3))\/((j**8*j)\/(j\/j**(-7)*j)) assuming j is positive.\nAnswer: j**(15\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2862 to the power of 1\/3, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -17 (base 8) to base 11.\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 238 and 34?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*x - 4*d - 88, 54 = 3*x + 2*d - 22. Suppose -b - x = 78. Let i be b\/(-27) - (-2)\/9. Solve -t + i = k, 7*t + 4*k - 17 = 2*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x = -3*x - 3*s + 27, -5*x + 37 = 3*s. Suppose -f = g - 3*f - 1561994, 0 = -2*g - x*f + 3124015. What is g rounded to the nearest one million?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, 0, 44656, -1, -4 in descending order.\nAnswer: 44656, 7, 0, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the second derivative of 1\/8*v**4 - 18*v + 0 + 0*v**3 - 7\/2*v**2. Let p(n) be the first derivative of s(n). Let x(c) = -4*c. What is p(x(d))?\nAnswer: -12*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v**2 + 2. Let b be w(2). Let l(d) = d**2 + 5*d - 3. Let q be l(-6). Suppose 2*a - 5*a = -q. Solve a = i + b for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (364\/(-3))\/((-3)\/(-6)*30\/(-225)). Calculate the highest common divisor of 112 and d.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11559?\nAnswer: 3, 3853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hlf when three letters picked without replacement from {h: 6, l: 1, f: 3, b: 4}?\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lu when two letters picked without replacement from {l: 3, u: 2, k: 5}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 5, 0, 171, -1 in descending order.\nAnswer: 171, 5, 1, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -2*j + 7. Let f be j\/(-130) + 3\/15. Let h = 0.3 + 0.2. What is the third smallest value in f, h, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11\/3 + -4 + (-74)\/(-6) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -5*f**3 - 6*f**2 - 5*f + 193. Let q(z) = 9*z**3 + 10*z**2 + 9*z - 385. Determine -3*q(i) - 5*y(i).\nAnswer: -2*i**3 - 2*i + 190","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 8, x: 4, n: 8}. What is prob of picking 1 h and 1 x?\nAnswer: 16\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18305 is divided by 18247?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2 and 407?\nAnswer: 814","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0624646 times -0.06?\nAnswer: 0.003747876","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -54*q - 25. Let l(o) = -52*o - 27. Let x(z) = 6*l(z) - 7*m(z). Is 14 a factor of x(10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + -2 + 3 + (0 - -2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5781802 * -74.\nAnswer: 427853348","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7, 9, 5, -11, -45?\nAnswer: -103","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*p + 318 = -p. Let l = -32 + p. Is 6 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.81 - 1.56. Let i = 0.65 + g. Which is the nearest to 0? (a) 4 (b) 1\/3 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2035201 divided by -7?\nAnswer: -290743","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-16 - -18)\/((-2)\/6). Is q less than -5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -s - 1. Let p = -1 + s. Suppose 4*h + 6 = -3*d, -d = -p*d - h - 1. Solve -v = v + 4*z + 6, -d*z - 12 = 4*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r. Let v(n) = -33710*n. What is v(w(i))?\nAnswer: -33710*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -331302 (base 4) to base 15\nAnswer: -1289","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 98444 + 43?\nAnswer: 98487","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 44030040 (base 5) to base 10.\nAnswer: 376895","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 42\/4*-3*(-36)\/(-189).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-167 + 329 - 179)*(2 + 2 - 2)*(-1 + 1 + 2*x).\nAnswer: -68*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 111022211 - 100?\nAnswer: 111022111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 77, -607, -1243, -1807, -2275, -2623, -2827, -2863?\n\"Answer: 4*u**3 - 712*u + 785","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22799421 is divided by 632?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 1678082\/(-199325)*(-10)\/4 - (-105)\/(-5)\nAnswer: 4\/85","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 5*v - 834 + 209 = 0, 0 = 3*s - 5*v - 399. What is the remainder when s is divided by 48?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.8 and 130.\nAnswer: 234","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2626211756.9 + 896.\nAnswer: 2626212652.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*v**5\/11 - 140*v**4\/11 + 3308*v**3\/11 - 27232*v**2\/11 + 17986*v\/11 + 48668\/11 = 0. Calculate v.\nAnswer: -1, 2, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 14*l. Let j(y) = 2*y**2 - 8275020*y. Calculate d(j(k)).\nAnswer: 28*k**2 - 115850280*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.07 less than 0.1714?\nAnswer: 0.2414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the third derivative of -p**9\/30240 + p**8\/5040 + p**5\/15 + p**2. Let j(g) be the third derivative of b(g). Find the third derivative of j(k) wrt k.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*g**2*l*w**2 + 46*g**2*l*w + 9*g*w**2 + 3*l*w**2 + l*w - 3 wrt w.\nAnswer: -6*g**2*l + 18*g + 6*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(22)\/sqrt(2) - ((sqrt(11) + -1*sqrt(11) - sqrt(11))*1 + sqrt(11) + sqrt(11))**2) + (sqrt(11) + sqrt(11)*2 + -4 - (sqrt(44) + sqrt(704))**2).\nAnswer: -1112 + 4*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 32290 and 1310?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u**(-4\/11)\/u)\/u**(-13))\/(u*u**(5\/2)*u*u*u**1))**(-2\/37) assuming u is positive.\nAnswer: u**(-113\/407)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -173, -170, -167?\n\"Answer: 3*i - 176","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -16 + 11*a**4 + 16 + (-2 + 2*a**3 + 2)*(-4*a + 4*a - 2*a) + 3*a**4 + 3*a**4 - 4*a**4 as x + o*a**3 + s*a**2 + z*a + q*a**4 and give q.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 46 and 97819.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u**3 - u + 1. Let n be y(0). Let q be (-2)\/((-2)\/3) - n. Suppose 17 = q*b - 1. Calculate the highest common factor of b and 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 352030 and 565495?\nAnswer: 3745","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, u: 3, z: 1}. Give prob of sequence du.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -v**2 + 3*v**2 - v**2 + (2 - 1 - 2)*(4*v - v**2 - 4*v) + (-5*v**2 + 7 - 7)*(2 - 2 + 3) to the form p + y*v**2 + u*v and give y.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 240138 = -125*c + 2118006 + 267632. Is 28 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 != -11\/3894829?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:57 PM and 9:08 PM?\nAnswer: 371","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g**3 + 9*g**2 + 2*g. Give v(-8).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 13939205*h**4 - 8151194 wrt h.\nAnswer: 55756820*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -11 - -45\/4. Sort -3, 2, y.\nAnswer: -3, y, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 99 + 10 = 20*m - 3*b, 0 = -5*m - 4*b - 0*b + 13 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/155, -0.5, 1?\nAnswer: -2\/155","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((169\/26 - 9)\/((-35)\/68))\/((-14)\/(-98)).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -3*u, -21 = -y + 3*u - 10. Determine i, given that 24*i + y*i**2 - 29*i**2 + 13*i**2 + 3*i**3 + 23*i**2 = 0.\nAnswer: -8, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, l: 1, h: 2, b: 1, s: 1, m: 2}. Give prob of sequence ol.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - (-250)\/(-65)*-1.\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3635 or -3628?\nAnswer: -3628","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 318114660 to the power of 1\/8, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*z - 453 = 67. Let x = -59 - z. Calculate the lowest common multiple of x and 414.\nAnswer: 414","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (78\/(-156))\/((-9)\/30)\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x**2 + x + 1. Let n be k(1). What is the units digit of (5\/n)\/(1\/17)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 332979751 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -137\/420 and -3\/40.\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the first derivative of 4*j + 1\/4*j**4 - 2 + 5\/3*j**3 + 5\/2*j**2. Let k be f(-4). Let t(o) = o**3 + o**2 + o + 8. Determine t(k).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 261552259?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 4472.07593 rounded to zero decimal places?\nAnswer: 4472","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 46\/475 and 37\/650.\nAnswer: 12350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 2273125060 to the power of 1\/2, to the nearest integer?\nAnswer: 47677","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0544267 to 1 dp.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.2, 0.4, 4\/5, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.083 + 0.783. Which is the nearest to r? (a) 0.3 (b) 0.4 (c) -1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 23726*j - 23744. Give p(1).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 36544981 - 25728985. Suppose 150*p = 154*p - 4*b - 21632004, -2*p + y = 4*b. What is p rounded to the nearest one million?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dccovovfccvc. What is prob of sequence cffv?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 560531 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 6*j**2 - 10*j + 6. Let k(t) = 5*t**2 - 9*t + 5. Let s(b) = b**2 - 2*b + 7. Let r be s(0). What is r*k(v) - 6*u(v)?\nAnswer: -v**2 - 3*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 65659461?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is a in 4*a**2 - 1904*a - 46695924 = 0?\nAnswer: -3187, 3663","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 1122, 306, 2.77 in ascending order.\nAnswer: -4, 2.77, 306, 1122","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.019 - 3950523240360.\nAnswer: -3950523240360.019","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -115*p + 42*p = -20*p + 583 for p.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5570?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the first derivative of 0*d**2 + 3 - d**3 + 0*d**4 + 0*d + 1\/2*d**6 + 0*d**5. Find the third derivative of z(u) wrt u.\nAnswer: 180*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5137739 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-77*n - 108*n - 49*n)*(4*n**2 + 3*n**2 + 23*n**2) to the form p + j*n + y*n**3 + m*n**2 and give y.\nAnswer: -7020","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 122 + -125.11. Let q = w - -0.11. Let o = -151 + 147. Which is the nearest to -0.2? (a) q (b) o (c) 3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 734717.5 decades to years.\nAnswer: 7347175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z - 4, 5*t + z - 58 = 3*z. List the prime factors of 2306\/t + 1*30\/(-50).\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -25*c**3 + 475*c**2 - 117*c + 2220. Give k(19).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 4*m + 10. Determine k(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w**3 + 10*w**2 + 40*w - 7. Let y be d(13). Solve -2*u - b = 7, -3*u - 3*b + 12 = -y*b for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 358563?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 13231131144 + 104?\nAnswer: 13231131303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 950304\/672 + (26\/14 + -2)*1 and 22?\nAnswer: 15554","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 18 and -0.02344.\nAnswer: -0.42192","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 125\/5916 and 33\/538960.\nAnswer: 797121840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.009 + 0.219. What is the third biggest value in y, 3\/5, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 2*m + 1. Let x(r) = -5*r - 3. Let n(o) = 3*x(o) + 5*z(o). Let s(q) = q + 6. Let w(y) = -y + 1. Let c(u) = s(u) - 3*w(u). Calculate -3*c(b) - 2*n(b).\nAnswer: -2*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 14.11762 rounded to zero dps?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -11.1 + 11.14. What is the nearest to 5 in -4, 4, t?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f**3 + 20*f**2 - 16*f - 57. Let g be w(19). Which is the nearest to 8? (a) -0.5 (b) -0.3 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = b + v - 10153, 0*v - 3*v = 5*b - 50755. Let y = b - 142167\/14. What is the common denominator of (-226)\/80 + (-1)\/(-1) and y?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - (10 - 5 - (20 - 14))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3761 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 - 114)*(648\/(-24) - -26).\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3743153637 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 12\/(-36) + 202\/3. Suppose 10*n - c - 33 = 0. Find the first derivative of 2 - 14*p + 6 - 1 + n wrt p.\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -5*w + 2. Calculate u(12).\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*i*k**5 + 525*i*k**3 - 23*i - 13*k**2 wrt k.\nAnswer: -120*i*k**2 + 3150*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w = -2*w + 10, -4*w = 5*r - 20. Factor 2\/11*g - 8\/11*g**3 + r + 6\/11*g**2.\nAnswer: -2*g*(g - 1)*(4*g + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 y and 1 r when four letters picked without replacement from {l: 1, n: 3, r: 1, v: 2, y: 3}.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 137\/23904 and 97\/74368.\nAnswer: 669312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -327 - -330. Suppose 5*n = 4 + 6. Solve -c = n*o - 1 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the first derivative of -j**3\/15 + j**2\/10 - 152. Find c such that v(c) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/(-20) - ((-21150)\/3000)\/((-2)\/(-30))?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 32 and 4976?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 424*s + 3165*s + 310*s + 2501*s as l*s + x and give l.\nAnswer: 6400","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6766?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 208*0.2\nAnswer: 41.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 239.414783 rounded to 1 dp?\nAnswer: 239.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -30*i**3*x + 3*i**2 - 2*i*x + 3 wrt i.\nAnswer: -180*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 2061784 (base 9) to base 3\nAnswer: 2002001212211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 49604?\nAnswer: 2, 12401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -7*k**2 - 165*k - 505. What is u(-20)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l - 3. Let z be 3*((-15)\/9 - -2). Let a = -4 - z. Let b be o(a). Solve 0 = s - b + 7 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -21\/30914 and -101\/2125522?\nAnswer: 801321794","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = j**3 - 3*j**2 - 4*j + 2. Let h be u(4). Suppose 3*s + h*q - 2 = 0, -2*s + 3*q = -14 - 9. Suppose t + s*t = 35. Is 7 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w**3 - 36*w**2 - 205*w + 11. Let x be n(41). Let q(h) = 47*h - 509. What is q(x)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 736297 is divided by 2727?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - ((-154)\/21 - -5).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 4.824343ms?\nAnswer: 4824.343","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 2*u = 20. Suppose 2*a - 49 = 5*g - 9, u = a + g. What is the tens digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/(-90)*(-2415)\/6440.\nAnswer: -1\/40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4029 + 16*g + 2*g - 2*g**3 + 416.\nAnswer: -2*g**3 + 18*g - 3613","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 15 = 5*f, 0 = -0*f - f + 3*i - 3. Let b be 2 + -3 + 4\/f*-3. Suppose -b*s = k - 14, k - 5*s + 5 = -13. Solve -k*w = g - 6*w + 16, -6 = -2*w for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/(-6) + ((-371)\/42 - -19).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 530569867?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0*2\/(-8) - 6. Calculate the least common multiple of (l - -10)*10\/4 and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -r**2 + 217*r - 3013. Calculate y(15).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 5, y: 7}. Give prob of sequence yi.\nAnswer: 35\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1211 + 2311103230?\nAnswer: 2311111101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 405227 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -304b0b (base 13) to base 11\nAnswer: -6a8977","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*10\/4*20\/25?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*b + 77 + 22 = -44*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (a - 2*a + 2*a + (-3 + 3 - 2)*(1 - a - 1) + (-3 - 2 + 3)*(-3 + 3 + a) + 3 - 18 + 14 - 47*a + 8*a + 3 - 3)*(3*a**4 - 2*a**4 + 0*a**4).\nAnswer: -38*a**5 - a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 4843597871 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-40)\/25 - 2\/5. Let m be q\/(-6) + 39\/(-9). Are -3 and m equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -u**2 - u - 7. Let z(i) = -2*i**2 - i - 14. Let v(m) = -7*f(m) + 3*z(m). Let t be v(-4). Solve -13 = -4*j + t for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 10\/11, -4, 3 in ascending order.\nAnswer: -4, 10\/11, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*g**2 + g + 146*g + 9*g + 58*g**2 - 4 - 156*g.\nAnswer: 71*g**2 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -397 + 1589\/4. Let r = -195 - -198. Factor -1\/4 + p*t + 1\/4*t**2 - 1\/4*t**r.\nAnswer: -(t - 1)**2*(t + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the second derivative of h**4\/12 + 19*h**3\/6 + 23*h**2\/2 - 13*h. Let l be x(-18). Suppose -l*k + k = -128. What is the units digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.4335 - -0.343. Round n to two decimal places.\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14\/2 + 63 + -74?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -78, 0 in decreasing order.\nAnswer: 5, 0, -78","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the third derivative of 0 + 0*p - 1\/3*p**3 - 1\/12*p**4 - p**2. Differentiate b(z) with respect to z.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 301 - 124. Let s = i - 182. What is the closest to -1 in 2\/9, 1\/5, s?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (28\/(-8) - -4)*(-12)\/18. Which is the third biggest value? (a) h (b) 49 (c) 0.3 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2 + 593.\nAnswer: 593.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5 - -7146503?\nAnswer: 7146508","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 42808.41kg in micrograms?\nAnswer: 42808410000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 7192459957 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(60) - sqrt(420)\/sqrt(7)*-3)\/(sqrt(24)\/(-1*sqrt(2))) + 3.\nAnswer: -4*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 3*d = -23, -1 = 4*d - 5. What is the units digit of 23 + b\/(-2) + 5?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rp when two letters picked without replacement from pzrgppagzpwrpzrpg.\nAnswer: 9\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 32206182 at least as big as 32206182?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -3*h + 47. Calculate l(-11).\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b**2 + 12*b - 11. Let q be v(10). Suppose 0 = -6*r + q*r - 108. Let m = r - 16. What is the units digit of m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.09 + 0.098. Let v = 57.992 + i. Let o = v + -59.14. Round o to one dp.\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c + 12. List the prime factors of t(8).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (0 - 2\/(-9)) + 15740\/(-36). Let l = 468 + m. Calculate the remainder when 154 is divided by l.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8 - -27. Suppose -13 = -2*c + g. Suppose 4*m = 2*a - 0*a - c, -3*m = -15. What is the units digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2 - 25104345?\nAnswer: -25104351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 296\/30 - 8\/(-60). Suppose -y - p = -4*a, -9 = -a + y - 4*y. Solve -k**5 + 3*k**4 + 8*k**3 - 7*k**a - 2*k**4 - k**2 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v**2 - 7*v + 3. Let o be l(0). Let t(d) = d**2 + d + 69. Let m be t(0). Suppose -m = -o*q + 30. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*c + 26 = 9*c - 3*j, c = -5*j + 10. Suppose -20*m + 10*m + c = 0. Factor 0 - 4\/7*p - 10\/7*p**m + 2*p**3.\nAnswer: 2*p*(p - 1)*(7*p + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**(2\/7))**45*(j\/(j**(-2)*j*j))**(-16\/3) assuming j is positive.\nAnswer: j**(1103\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 363480 + 4*r - 181832 - 181648 - r.\nAnswer: 3*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4997906434?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1069*v - 274*v = -48348 for v.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b**3 + 4*b**2 - 14*b - 9. Let f be z(-6). Put 1, 5, -1, f in decreasing order.\nAnswer: 5, f, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 253215955.\nAnswer: 5, 50643191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -178, -16917 in decreasing order.\nAnswer: -5, -178, -16917","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -787671*u**2 - 3*u - 993809?\nAnswer: -1575342*u - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9 - -23. Suppose 0 = -5*v - 0*v - 5*q + 15, -5*v = -5*q + 25. Calculate the least common multiple of x and -1 - v\/(3\/9).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11*(-25)\/(-5500)*-20?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 39.8 - 34.8. Which is the closest to -1\/2? (a) 0.4 (b) x (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*s - 3*c - 214, c - 96 = -4*s + 126. What are the prime factors of s?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g*g\/g**1*g)**(-1\/3))**(-1\/7)\/(g\/g**(4\/9)*g**(-5\/6))**(-3\/7) assuming g is positive.\nAnswer: g**(1\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*r + 39 = 6*r - 114 for r.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 60893183.9 - 0.3.\nAnswer: 60893183.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -16472553 + 16472545.000003. Let h = -8.08 + 0.08. Let w = f - h. Round w to 5 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3\/((-75)\/(-2)))\/((-1)\/10)\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u**2 + 7*u - 4. Let r be a(6). Let c be (0 + 6\/(-5))\/(1011\/(-3370)). Factor -5*w - w + c*w**r - 5*w**2 + 3*w.\nAnswer: -w*(w + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h**3 + 4*h**2 - 2*h - 8. Let c(v) = -5*v**3 - 8*v + 5. Let q(y) = 8*y**3 + y**2 + 13*y - 11. Let x(d) = 5*c(d) + 3*q(d). Determine -3*k(b) + 4*x(b).\nAnswer: -b**3 + 2*b - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = 14*f - 7425. What is the remainder when f is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 278713069 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2735868.\nAnswer: 2, 3, 227989","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/(-15)*5\/(-4))\/((-436)\/8720).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, m: 1, z: 1, l: 1, n: 1}. Give prob of picking 1 z and 1 m.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l - 3. Let f be o(-8). Solve 5*c - 27 = -n, -f*c - 9 + 32 = -n for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 689995 is divided by 3920.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - k - 4*k - 40 = 0, 5*h - k = 29. Solve -h*m + 3 = i, -2*m + i + 0 - 3 = 0 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/4 (b) -1 (c) 6.6 (d) -2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 9974 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -811234 divided by -691\nAnswer: 1174","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24 = 5*x + 3*v, 0 = -5*x + 2*v + 3*v for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 40*g - 668*g**3 - g**2 - 6*g**4 + 669*g**3 + 92*g as r + d*g**4 + z*g**3 + k*g**2 + m*g and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2074360200 minus -0.05?\nAnswer: 2074360200.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 127\/48 and 89\/96.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 52 + -31. Suppose -2*g + 4*n = -g - w, 5*g + 2*n = 83. List the prime factors of g.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((8 - (-330)\/(-40)) + 6\/(-8))*14?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*q - 5*o + 35 - 50, -3*q + 2*o + 31 = 0. Suppose 5*i - 18 = -3. Suppose 10 = -i*d + 5*d. Solve -5*k = d, -b - 1 + q = -2*k for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1 + -104?\nAnswer: -103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q**2 - 5*q + 15. Give r(9).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -455823, -455824, -455825, -455826, -455827?\n\"Answer: -k - 455822","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 13 - 7. Let u = -18 + n. What is the units digit of (u\/(-8))\/(1\/6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 137 + 20*i**2 - 20*i**2 + 15 - 163*i**4 wrt i?\nAnswer: -652*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*h + 13*h - 7220. Calculate the highest common divisor of h and 228.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -17*y**3 - 14*y**2 - 13*y + 9. Let r(d) = 16*d**3 + 14*d**2 + 10*d - 8. Let j(u) = -4*o(u) - 5*r(u). Factor j(x).\nAnswer: -2*(x + 1)*(2*x - 1)*(3*x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 316 is divided by 65.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -174 by -23.\nAnswer: 174\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (221\/104)\/(-17)*-24.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1304\/471 + -16\/157. What is l in -1\/6*l**3 - 5\/2*l - z*l**2 + 0 = 0?\nAnswer: -15, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 835.\nAnswer: 5, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -13078, 5262, 2 in decreasing order.\nAnswer: 5262, 2, -13078","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w**2 - 5*w - 2. Let a(o) = -o**3 - 9*o**2 + 6. Let k be a(-9). Let r(d) = 2*d**2 - 9*d - 4. Determine k*r(n) - 11*i(n).\nAnswer: n**2 + n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 23 - 47. Let f(u) = 2*u + 51. Let z be f(a). Suppose 3*w + 3*l = -w + 8252, -3*w + z*l + 6168 = 0. What is w rounded to the nearest 100?\nAnswer: 2100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*2\/4*(-93)\/(-2697)*1334.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 5*s**2 - s + 1. Let a(n) = n**2 - 272*n + 7808. Calculate the remainder when a(240) is divided by o(2).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the third derivative of -t**4\/24 - 3*t**3\/2 + 4*t**2. Let v be f(-8). Suppose x - 4*s - 4 = 0, -2*x + 2*s - 3 = 1. Sort -3, x, v.\nAnswer: x, -3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6709112.\nAnswer: 2, 67, 12517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 - 63?\nAnswer: -63.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -22 + 30. Calculate the remainder when 112 is divided by 177\/6 + -2*2\/a.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 15*m**2\/7 - 7674*m\/7 - 3072\/7.\nAnswer: 3*(m - 512)*(5*m + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/13 in 308, 9379, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -117.6 + 118. Sort 1\/2, 3, t, -11.\nAnswer: -11, t, 1\/2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (18\/4)\/((-3)\/4). Let n(j) = 43 - 21 - j**3 - 4*j**2 - 17 + 8*j. What is the units digit of n(b)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5942434816?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57*q + 2489 = w - 54*q, 0 = 6*q + 12. What is the tens digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1969\/15 - 44879\/390. Are 16 and f equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 3, 2268\/13, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -4*i. Let r(t) = -t**2 - 45*t + 104. Give r(p(x)).\nAnswer: -16*x**2 + 180*x + 104","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -164*y**3 + 27440*y**2 - 811792*y - 1734656 = 0. Calculate y.\nAnswer: -2, 1694\/41, 128","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 20*x**3 - 70*x - 143. Determine p(-2).\nAnswer: -163","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 32370?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 102\/(-153)*(-2)\/(-16)*-6?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.2 - -0.3. Let l = 0.3 - -0.7. Let u = l - 5. What is the second smallest value in u, g, 2\/5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 786*g**2*t**3 + 523*g**2*t - 3*g**2 - 394*g*t + 455*t**2 wrt t.\nAnswer: 4716*g**2*t + 910","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 6*w**2 - 2*w + 1. Let z be r(1). Let q = 9 + z. Does 14 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 8 + 4\/((-20)\/(-125))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 42\/(-5)*(-16575)\/(-2210).\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 142500 and 950?\nAnswer: 142500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 2524321 (base 7) to base 10\nAnswer: 325669","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l**3 + 3*l**2 + 6*l - 5. Let o be i(4). List the prime factors of 18*3*o\/18.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v = -63*v + 580 for v.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = -3*i + 24, -22*i - x = -19*i - 21. Suppose 2*c - i = 5*s, -14*s + 19*s = 4*c - 12. Factor -1\/7*m**5 - 1\/7*m + 2\/7*m**3 + 0*m**4 + s + 0*m**2.\nAnswer: -m*(m - 1)**2*(m + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x*x**(3\/5)*x*x*(x\/(x**(-2\/9)\/x))\/x*x**(1\/8)*x*(x\/x**(-7))\/x*x**9*x\/x**6*(x\/((x**(-2\/7)\/x)\/x))\/x*x*x**2 assuming x is positive.\nAnswer: x**(56027\/2520)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 222\/(((1911\/(-78))\/49)\/(5\/20)).\nAnswer: -111","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7185 - -13021. What are the prime factors of d?\nAnswer: 2, 10103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(68) + -1 + -1)*6.\nAnswer: -12 + 12*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9626429?\nAnswer: 9626429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4, -3, -46, 1?\nAnswer: -46","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*m + 20*m + 238 = 0. Factor w**2 - w**2 - 8*w - 4*w**2 + m + 26.\nAnswer: -4*(w - 3)*(w + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from alaaaalualaaaaaau. What is prob of picking 1 a and 3 l?\nAnswer: 3\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10 and 28?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2805 - -2829.408. What is j rounded to 1 dp?\nAnswer: 24.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 + 13*n**2 - 9*n**2 + 0 in the form y*n + v + f*n**2 and give f.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 283602*b*h*r**4 - 3*b*h - 7925*b + 795*h + 35*r wrt r.\nAnswer: 1134408*b*h*r**3 + 35","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((((sqrt(228) + sqrt(228) + (sqrt(228) - (-2*sqrt(228) + sqrt(228)))*4 - sqrt(228)) + sqrt(228) - sqrt(228)) + 4*sqrt(228)*-2)\/(-4*-1*sqrt(768)))**2.\nAnswer: 19\/512","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in -20\/9, -13, -12, -9.5, 1, 0.03, -5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 1921239.3 months?\nAnswer: 1601.03275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -39667.4495 to the nearest ten.\nAnswer: -39670","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7119952114?\nAnswer: 2, 11, 67, 4830361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 91546057?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:42 PM and 6:19 AM?\nAnswer: 457","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1 + 15\/(-12))*4. Sort -4, j, -6 in ascending order.\nAnswer: -6, -4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2814.\nAnswer: 2, 3, 7, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 703 minutes before 1:32 PM?\nAnswer: 1:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w + 1. Let l be x(3). Let r be 4*(-1)\/(4\/6). Let f = l - r. List the prime factors of f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve r + 3*j + 1 = 0, 968*r - 973*r + 5*j = 19 + 26 for r.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1 - -1. Find the second derivative of -2*c + c**2 - 2*c**w + 4*c - c wrt c.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 151361120?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0.3, -5, 15?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(-75)*-33*(-10)\/(-132)\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f - 12 = 24. Let s(m) = 16*m - 12. What is the units digit of s(f)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/6*(-123)\/82?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-38)\/(-57) + (104\/(-6))\/(-1). Solve 11*s + z = -15 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1072 + -672. Is l a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*g + 6*g - 51*g)*(-9*g**3 + 0*g**3 - 6*g**3 + (0*g**2 - 2*g**2 + 3*g**2)*(-3 + 3 - 2*g)).\nAnswer: 884*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ngn when three letters picked without replacement from {n: 4, l: 3, a: 1, g: 3}.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1551129 to the nearest integer?\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*h + 5*h - 80. Let k be 40\/(-5)*4\/(-2). What is the highest common factor of h and k?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-160)\/105)\/(16\/28)\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c*c**1*c)\/c)**42)**(3\/11)*c**(1\/2)*c**(3\/4)*(c\/(c\/(c\/((c*c**3)\/c))*c))\/c**(1\/4) assuming c is positive.\nAnswer: c**(230\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of (209\/(-22) + -8)\/((-100)\/80) and (4\/6)\/(2\/48)?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1223*m - 2693*m + 46490 = -180638 for m.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 817255 is divided by 4347.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that 10658*n**4\/5 + 584*n**3\/5 - 2130*n**2 - 584*n\/5 - 8\/5 = 0.\nAnswer: -1, -2\/73, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 304 - 303. Let i(a) = a**2 - 1. Suppose -3*q + 0*q = -15. Let k be 0 + -1 + 10\/q. Let d(y) = -2*y**2 - y + 2. Calculate k*i(z) + s*d(z).\nAnswer: -z**2 - z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 4*q + 112 = 0, -c - 3*q = -6*c + 126. Suppose -4*y = -2*y - c. Solve -27 = -3*a - y for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9 - (13 - 22)) + (-7 - -1)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-6)*(-6)\/4)\/(407\/74).\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1041232403414 + -2?\nAnswer: -1041232403421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j and 2 t when four letters picked without replacement from tjtttj.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*h = -243 - 117. Is 23 at least h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((sqrt(80)*3*-6 - (sqrt(80) + (6*5*sqrt(80) - sqrt(80)))) + 2)**2 + 0.\nAnswer: -768*sqrt(5) + 184329","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:08 AM and 10:40 AM?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 481 minutes before 2:14 PM?\nAnswer: 6:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 14172180 a multiple of 55?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*3*sqrt(720) + (sqrt(225) + 1*sqrt(225)*-1)\/sqrt(5))\/(sqrt(324)*2*-1 - (sqrt(324) - sqrt(324)*1)*-3).\nAnswer: -5*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1673150397?\nAnswer: 3, 37, 15073427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1229240 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 4483 bigger than 1586?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6514435 is divided by 7143?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 40 + -35. Solve -2*s + 6*k = k + 16, -10 = -m*k for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6*r**3*t - 87*r**2*t + 139458*r**2 + 3*r*t + 56472512*r wrt r.\nAnswer: 36*r*t - 174*t + 278916","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -10 - -13. Suppose 3*l = -3*f - 54, -5*f + n*l - 90 = 6*l. What is the tens digit of 2*39\/f*-9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 43, 47, 61, 91, 143, 223, 337?\n\"Answer: a**3 - a**2 + 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 198 + 2059*q**2 - 586 + 192 + 196 - 2057*q**2.\nAnswer: 2*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 214047?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m + 40. Let c(y) be the first derivative of -15 - 1\/2*y**2 + 0*y. Determine c(g(s)).\nAnswer: -s - 40","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1932067\/54 + -35780. Find the common denominator of 67\/210 and s.\nAnswer: 1890","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 268261922 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -7717317.327425 - -0.1.\nAnswer: -7717317.227425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 66.35 + -59.35. Let k = 0.054 - 4.054. Which is the closest to t? (a) 4 (b) k (c) 1 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -u - 18. Let h be (-8)\/(0 - 1)*(-1045)\/380. Let r be b(h). Solve k - r = 2*m, 5*m + 4 = 2*k - 4 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1000 - 0?\nAnswer: 1000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(119) - -6*(sqrt(119) + 2*sqrt(119))) + (sqrt(119)*-1*2 - sqrt(119)))\/(6*(sqrt(448) - (sqrt(448) - 6*(sqrt(448) - (-1*sqrt(448) - sqrt(448)))))).\nAnswer: sqrt(17)\/54","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y**3 - 11*y**2 + 4*y - 4. Suppose 0 = -4*u - 0*u - 3*v + 91, 4*v + 37 = u. Let w be (u - 12) + -1 + -1. What is the tens digit of b(w)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1178\/(-57))\/31*((-104)\/4030)\/(8\/(-15)).\nAnswer: -1\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 51795800 rounded to the nearest 100000?\nAnswer: 51800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve p - 152*j + 24 = -156*j, -3*p = 2*j + 2 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2393 by -2211.\nAnswer: 2393\/2211","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t**3 + 2*t**2 - 10*t + 1339. What is the thousands digit of z(0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -2135, -4265, -6389, -8507, -10619, -12725, -14825?\n\"Answer: 3*a**2 - 2139*a + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, x: 5, b: 1, n: 1, f: 1, q: 4}. Give prob of picking 1 n and 1 x.\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 4880 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1*3\/(45\/6). Let h be (0 + 1)*(-6)\/4. Let k = 4.3 + 0.7. Which is the closest to 0? (a) k (b) h (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -2*b**2 - 40*b - 74. What is x(-18)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2842, 2522, 1986, 1234, 266, -918, -2318?\nAnswer: -3934","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -608.7 at least 745?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in 7\/3, -0.0329672, 2\/9?\nAnswer: -0.0329672","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 38 = -4*f, 23 = g + 5*f - 8. Let w be 75\/g*(-8)\/(-10). What is the greatest common divisor of w and 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 0 - (3 - 6).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -t - f - 4, 6*t + f + 14 = 3*t. Let w be 16\/(-6) - ((-10)\/(-15) - 1). Let n = w - -13\/12. Which is the third biggest value? (a) n (b) -3\/7 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*x + 225*x + 7 - 256 = 0. Suppose -19 = -2*v + 5*o, -v = -2*v - 4*o - 23. Suppose 2*h + 0*h = -4*q + 4, -h - 4 = -4*q. Sort h, v, x.\nAnswer: v, h, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + -1*(4 + 1 + 5*(sqrt(1088) + -5)))**2.\nAnswer: -1760*sqrt(17) + 27684","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1360843 to the nearest integer?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 6.6 less than 19663.7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 20, 4, 23\/2, 1?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -15 (b) 0.6 (c) 7 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1 + -17. Let l be s\/3*2\/(-4). Solve -2*g - 6 = 2*o, -3*g + l*o + 9 = g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f\/(f\/(f*f**32)*f)))\/((f*f**(-3))\/f)*f*f\/f**(-22)*f**(-5\/14) assuming f is positive.\nAnswer: f**(-61\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = -3*d + 40. Let f = -50 + d. Let c = -37 - f. What is the remainder when c is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 5, y: 9}. Give prob of picking 1 y and 1 r.\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 404 minutes before 4:36 PM?\nAnswer: 9:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrryryrrr. What is prob of sequence rry?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = k + 2. What is the second biggest value in -1\/3, k, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 108 and 54.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -7*g + 1. Let a(t) = -37*t - 120. Give a(w) - 6*n(w).\nAnswer: 5*w - 126","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 960990880?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1322 + -1322.22. Let w = -65 + 62. Let a = 0 + 1. What is the nearest to a in 2\/9, o, w?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1 (b) 0 (c) -13.76 (d) 2\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 0*c + 1605 = 5*c, -991 = -3*r + 4*c. Suppose 24 = 3*p + 9. Suppose 0*y - g + 1629 = p*y, g = -y + r. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 363 is divided by 170.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1495157 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 = -l - 3*g, g + 4*g = -2*l + 24 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 16030 - 16004.034. Let a = y + -26. Let f = a + 0.0339977. What is f rounded to six dps?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h - 15. Let j(t) = -t**3 + 37*t**2 - 72*t + 75. Let l be (-2 - -32) + (-5)\/(-1). Let y be j(l). Give m(y).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8\/11*m**4 + 0*m + 0 - 4\/11*m**2 + 10\/11*m**3 + 2\/11*m**5.\nAnswer: 2*m**2*(m - 2)*(m - 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 1300117.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/10*140\/(-546)*-13?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 36 - -617?\nAnswer: 651","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2089480?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1505520 - 310?\nAnswer: 1505210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27 = -5*h - 3*a, -2 = 2*h - 5*a + 3*a for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u - 6*h = -15, h + 23 = -3*u + 14 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13656440 (base 7) to base 15.\nAnswer: -1a7a7e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -30832, -61703, -92576, -123451?\nAnswer: -154328","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000002836 to six dps.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p**3 + 12*p**2 + p + 15. Let m(u) = u**2 + 1. Let j(z) = -4*m(z) + v(z). Let b be j(-8). Suppose 36 = b*d - 36. Is d a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**1)**(8\/5)\/(h**(2\/17)\/(h\/(h\/h**(2\/21))*h)))**(1\/39) assuming h is positive.\nAnswer: h**(4601\/69615)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 15) to base 7.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 1 - 2)*(-14*m**3 + 12*m**3 + 50*m**3) in the form c + h*m + k*m**3 + d*m**2 and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (18 - 14) + -10 - (-3 - 4 - (27 + 16))\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 1508*g - 32780*g - 1.\nAnswer: -31272*g - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 60 + -24. Let k = -2804 - -30865\/11. Calculate the common denominator of k and q.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 11409.76 and 3336.\nAnswer: 14745.76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 63.011ml?\nAnswer: 0.063011","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 37357 is divided by 1612?\nAnswer: 281","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5 + -11?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5632412 + -5632974.0293. Let y = b + 562. Round y to 3 dps.\nAnswer: -0.029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y**29\/(((y*y**(-28))\/y)\/y))**(-21))**(1\/5))**13 assuming y is positive.\nAnswer: y**(-15834\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 7*t + 23. Let g be n(-3). Let o(h) = 2*h + 123 - 45 + g*h**2 - 950*h**3 + 948*h**3. Let m be o(0). Calculate the greatest common divisor of m and 52.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -2*r**2 + 10*r - 10. Let k(o) = o**2 - 4*o - 2. Let d(f) = 3*k(f) + t(f). Calculate d(7).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 338985 less than 338986?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at least 12\/106512271?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the first derivative of -5 + 4\/3*y**3 + 1\/2*y**2 + 0*y. What are the prime factors of g(1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q**2 - q - 2. Let z be l(3). Suppose -z*t = 2*r + 4, -4*r = -t - 0*t - 19. Calculate the remainder when (22\/t)\/(3\/(-9)) is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 41*w**3 - 9*w**2 + 4*w - 7. Let x(q) = -21*q**3 + 5*q**2 - 2*q + 4. Give 3*f(d) + 5*x(d).\nAnswer: 18*d**3 - 2*d**2 + 2*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 3 a when four letters picked without replacement from wpawpwwppwpwaawwwwwl?\nAnswer: 1\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 151\/260 - -1\/52. Sort 4\/3, y, 0.\nAnswer: 0, y, 4\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 41 + 29 + -2 + -36 + 12?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*u**2 - 4*u**2 + 0*u**2)*(-u**3 + 0*u + 0*u) + 3*u + 12*u**5 - 73547*u**3 + 73547*u**3.\nAnswer: 13*u**5 + 3*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 3*v**3 - 13*v + 25. Is 17 a factor of o(6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43*j + 75*j + 19*j - 1490 + 1488 + 60*j + 16*j.\nAnswer: 127*j - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5796, -11973, -18150, -24327, -30504?\nAnswer: -36681","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -3*y - 11. Suppose -14*j = -15*j - 9. Calculate q(j).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -1, 6, 15, 20, 15, -6, -49?\n\"Answer: -o**3 + 7*o**2 - 7*o","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10011 (base 2) to base 5.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1010000 - -10001001?\nAnswer: 11011001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n - 12. Let o(t) = -39*t**2 - 2*t. Give o(p(d)).\nAnswer: -39*d**2 + 934*d - 5592","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*j + 728 = 47*j. Is 95 bigger than j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 56310.\nAnswer: 2, 3, 5, 1877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l + 2*l - l)*(0*l + l + 0*l) - 2 + l**2 + 2 + (614*l + 2*l**2 - 614*l)*(-2 + 4 - 4).\nAnswer: -l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*z + 2*z + 11*z**3 + 1 + 10*z**3 + 4*z**3 + 28*z**2.\nAnswer: 25*z**3 + 28*z**2 - 5*z + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h**3 + 5*h**2 + 8*h - 6. Suppose 2*g = 4*d - 4, 0*g - g - 5*d = -26. Does 5 divide c(g)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2 and -0.20046?\nAnswer: -0.40092","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 1962?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h + 9. Let b be u(10). Let z be (2\/(2\/(-5)))\/b. Suppose n + 4*l - 22 = 0, -4*l - l = z*n - 155. Is n a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 57\/21025016 and -45\/68331302.\nAnswer: 273325208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 3986.55 microseconds in minutes?\nAnswer: 0.0000664425","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 + 2*d**3)*(-17 + 30 + 219).\nAnswer: 464*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/(-6))\/(28\/(-7000)*-25).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let a = 21 + -17. Suppose 94 = 3*t + a*r, -4*t = 4*r - 0*r - 128. Suppose -t = -3*j + 56. Is j a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*v = -3*v + 30. Suppose 0 = -8*u + v*u + 25. Let b(m) = m**3 - 4*m**2 - 2*m - 6. Calculate b(u).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1744 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 2*-18*((-24)\/(-4))\/(-24)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 769*k**4*t - 1097*k**4 + 12*k**3*t - 41872*k**2*t - k**2 - 860*t wrt k.\nAnswer: 18456*k*t - 26328*k + 72*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4024840129?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q**(1\/5)*q**(-2\/9)\/q)\/(q**(-4\/5)\/(q\/(q\/(q**(-3\/2)*q*q)))))**(-26))**(-24\/7) assuming q is positive.\nAnswer: q**(520\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 83536?\nAnswer: 2, 23, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(10\/(-25)))\/(-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:06 PM and 12:52 AM?\nAnswer: 166","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000500521 to 6 decimal places.\nAnswer: -0.000501","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 476803 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/28*(-3)\/9*6?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.04 less than 0.0489?\nAnswer: 0.0889","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 4673516 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of ((-1615)\/(-340))\/((3\/490)\/((-114)\/(-5)))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 30 + -24. Let g(s) be the third derivative of -1\/8*s**4 + 0*s**5 + 0 - 1\/24*s**y + 4*s**2 + 0*s**3 + 0*s. What is the second derivative of g(q) wrt q?\nAnswer: -30*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 756726 (base 8) in base 7?\nAnswer: 2103525","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1852\/97230)\/((-3)\/42).\nAnswer: -4\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 4542*-0.4066.\nAnswer: -1846.7772","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zyhzhhzhhzhzzhhhh. What is prob of sequence zhhh?\nAnswer: 9\/119","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in -2043, 41, -0.03?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 10689860 to the power of 1\/2, to the nearest integer?\nAnswer: 3270","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/z**(2\/7))**(-1\/22) assuming z is positive.\nAnswer: z**(-5\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t, 2 s, and 1 m when four letters picked without replacement from eteemeebieessmseibt?\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -7*s**2*u - 2*s**2 + 47*s + 149*u**2 - 3 wrt u?\nAnswer: -7*s**2 + 298*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 656742 and 46.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n, 1 b, and 1 f when three letters picked without replacement from {g: 1, b: 3, n: 1, x: 4, k: 1, f: 2}.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 85 - 61. What is the remainder when 47 is divided by l?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c**2 - 3*c - 3. Let p be (-4 + (2 - 1))*1. Let w be h(p). Let r = w - -14. What is the remainder when 20 is divided by r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -140 + 137. Let a(g) = -2*g - 3 + 4*g - 6*g. Determine a(t).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.208 (b) 2422 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4903200 and 6660?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -12 + 11 + 5 - 9\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -69*i + 2*y = -70*i + 7, 18 = -2*i + 4*y for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-21*u - 244*u - 63*u)*(u**2 + 1 - 1).\nAnswer: -328*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -u**3 - 2*u**3 + 4*u**3 - 2 + 2 + 2*u**3 + (3*u - 2*u + 0*u)*(0*u**2 - 3*u**2 + 2*u**2).\nAnswer: 2*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 43000442223 + 1?\nAnswer: 43000442224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(-18)*(-185 - -167)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x + 3. Let u be -3 + 27 - (1 + 0). Let i = -13 + u. What is the units digit of o(i)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence www when three letters picked without replacement from {z: 1, w: 4, s: 6}?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 13 and 507?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 141 - -51. Suppose -3*g + 3*a + 132 = 0, 5*g = -16*a + 14*a + b. Suppose 0*r - r + 440 = 0. What is the highest common factor of g and r?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let z = -193 - -206.7. Let n = -5.3 - z. Which is the second smallest value? (a) n (b) -3 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the first derivative of c**2\/2 - 2. Let f(x) = 11*x + 5. Let d(w) = 12*w + 6. Let i(l) = 5*d(l) - 6*f(l). Determine z(i(u)).\nAnswer: -6*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3864921?\nAnswer: 3, 1288307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -5*g - 163. Let c(n) = -4*n - 166. Give -4*c(b) + 3*q(b).\nAnswer: b + 175","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 28.03322 litres to millilitres.\nAnswer: 28033.22","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 1331.3483206 to the nearest 10.\nAnswer: 1330","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, 9, 1, 2, -92, 5, 180 in increasing order.\nAnswer: -92, 1, 2, 5, 9, 11, 180","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -52 smaller than -679?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 57670.\nAnswer: 2, 5, 73, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.82018 to three dps.\nAnswer: 0.82","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 10*n**2 - 3*n + n**2 + 978 + 0*n**2 - 976. Let d(u) = 6*u**2 - u + 1. What is -5*d(b) + 3*o(b)?\nAnswer: 3*b**2 - 4*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-4)\/(-12)*(2610\/(-333) - -7) and 10\/259?\nAnswer: 777","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 5*s + 31 - 13 = 0, -2*m - 2 = -3*s. Solve -4*p - 14 = 5*b, 4*p + b + m*b = -10 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -110310 - -2?\nAnswer: -110302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-17)\/2*((-7)\/2)\/((-329)\/564)\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 90 a factor of 37266120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 21.8 + -20. Let z = 1.7 - p. What is the smallest value in z, 2\/9, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h**2 + 2*h - 5. Give l(0).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 81 a factor of 138622995?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 3 + 279731\nAnswer: 279734","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*j - 11 = 277 for j.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.52 in -1\/5, 0, 1.3?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.3, 7, -4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1930)\/(-4) + 5\/(-10). Let c = d - 4334\/9. Solve -2\/9*h + 0 - c*h**4 + 4\/9*h**2 + 0*h**3 + 2\/9*h**5 = 0 for h.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t**2 - 9 + t**3 - t - 7 + 11. Give d(0).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ysysyssosiysz. Give prob of sequence iozs.\nAnswer: 1\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -24845 (b) -6 (c) -5 (d) -16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 1383 + 530*j**2 - 552*j**2 - 1383. Let h(g) = -33*g. Calculate h(q(o)).\nAnswer: 726*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/((-4)\/(-10)) - -8. Suppose 0*j + u = 4*j - 12, j = -2*u + t. Suppose -x - j = -4. What is the units digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -569, -938 in increasing order.\nAnswer: -938, -569, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 884312467?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k**2 + 16*k + 1. What is p(-9)?\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = 8 + 37. Suppose -j = 4*j + h. Does 5 divide (2 + j)*-6 + 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 97232.7247 to the nearest 10000.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1390, -2782, -4174?\n\"Answer: -1392*l + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19919765?\nAnswer: 5, 653, 6101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the first derivative of 13\/4*k**4 + 0*k - 2\/3*k**3 + 113 + 1\/4*k**6 - 2*k**5 - 5\/4*k**2. Determine l so that q(l) = 0.\nAnswer: -1\/3, 0, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 205 + -56 + (-126 - -95)\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 12958?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -14*a + 35. Let d(f) = -f + 1. Let x(z) = 35*d(z) - q(z). Let m(n) = 5*n + 5*n - 16*n + 4*n. What is m(x(s))?\nAnswer: 42*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of d**2*i**3 - 2*d**2*i + d*i**3 - d*i**2 + 128768*i**3 - 229*i**2 wrt i.\nAnswer: 6*d**2 + 6*d + 772608","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 0.4 (b) -0.3 (c) -55 (d) 9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the first derivative of 26*c**2 + 31*c + 1. Let w(r) = -14*r**3 - 3*r**2 - 3*r - 1. Let f be w(-1). Is n(f) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 161 or 172399?\nAnswer: 161","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = f - 2*f - 3 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = 85 + 50. Suppose -2*i - k = -3*y, -2*i + 4 + 41 = 3*y. What is the units digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7 or 42028\/5585?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -q + 3*g, -5*q - g + 26 = -2*q. Let k be q\/12 + (-4)\/(-3). Which is the smallest value? (a) k (b) 5 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2097191 and 41.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 136.251623 to zero decimal places.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2463608?\nAnswer: 2, 7, 29, 37, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 2562*x**2 + 3133*x + 3134. Determine y(-1).\nAnswer: 2563","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -194*i**3*y**3 - i**3*y**2 + 296*i**2*y**3 wrt i?\nAnswer: -1164*y**3 - 6*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 2, l: 1, e: 1, i: 1, w: 4}. Give prob of sequence ccwi.\nAnswer: 1\/378","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -4043310 (base 5) in base 14?\nAnswer: -19bd5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/(-6)*(-27)\/((-135)\/4).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2980, 1\/3, -61, 3, 0.05 in descending order.\nAnswer: 2980, 3, 1\/3, 0.05, -61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*a = -3*x + 52 + 83, -4*a = 4*x - 80 for x.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (5\/6)\/((333\/54)\/37). Solve -q*f = 2*k + 7, -5*f + 2*k = -3*k for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 2*k = -2 - 146, -376 = -5*b - 3*k. List the prime factors of b.\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 60*u + 70*u + 60*u + 82*u + 66*u - 333*u.\nAnswer: 5*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 590\/(-3894)*(-2)\/30*3*(-4)\/(-6)?\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1854.7 - 1855. Which is the biggest value? (a) -104 (b) 5 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4)\/14 - 148\/(-28). Suppose -456 = o*q + 244. What is the units digit of q\/(-16) - (-1)\/4?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*o**4 - 19 + 32 + o**2 - 9 to the form q*o**3 + i*o**2 + l*o**4 + x + j*o and give x.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 4515 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2674 + -2588 + (2 - 4) + 1 + -5 + 1?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1.87, 10, -3, -0.5?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(-12)*10\/5*42\/(-4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eejjejkessnjeesejeee. What is prob of sequence eek?\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 251, 244, 233, 218, 199, 176?\nAnswer: 149","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 402*o**2 + 393*o**2 + 205*o**5 - 797*o**2 + (-3*o**3 + 0*o**3 + 4*o**3)*(1 - 2*o**2 - 1).\nAnswer: 203*o**5 - 2*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51*s = 62*s - 77. List the prime factors of -236*(35\/(-4))\/s.\nAnswer: 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 394 minutes before 4:51 AM?\nAnswer: 10:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1655 = 8*t - 1. Calculate the remainder when t is divided by 53.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4 + -4. Suppose 10 = 2*f - q. What is the remainder when 8 is divided by f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (266*y**2 + 92*y**3 - 266*y**2)*(2*y**2 - 3*y**2 - y**2).\nAnswer: -184*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b - 33 = b + 5*d, -4*b + 3*d = -23 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 72604277 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*v - 6*v - 4. Let d be 17\/(-5) + (0 - (0 - v)). Which is the biggest value? (a) 0.3 (b) d (c) -0.007\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*q + 2036 = 5*l - 14*q, 4*l = -2*q + 1630. Suppose -106*j = -95*j - l. Is 36 > j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.359 minus 2263512?\nAnswer: -2263511.641","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00002436111 rounded to six dps?\nAnswer: 0.000024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r**3 + 2*r**2 - r - 2. Let t be p(-2). Suppose -3*l = 0, t = 3*j - 0*j + 5*l - 132. What is the highest common divisor of 110 and j?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 40\/381 and 26 + -19 - 2296\/(-612) - 11?\nAnswer: 19431","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 773461 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -28*h - 50. Let w be s(-2). What is the greatest common factor of w and 219?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3\/5, 194, -6, -2\/3, 8\/11?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15572745?\nAnswer: 3, 5, 37, 47, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13 + (5 - 6 - 19)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that -74*o + 10492*o**2 + 25*o**5 + 9347*o**2 - 390*o**4 - 18189*o**2 + 594*o + 715*o**3 = 0.\nAnswer: -1, -2\/5, 0, 4, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 0*p - p - 3*p + 3*p. Suppose -s + 4*c = 11, -c - 2*c = 2*s - 22. Suppose k + 2*k + 4*f - 9 = 0, -4*k + s*f + 12 = 0. Determine x(k).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q**3 + 312*q**2 + 14930*q + 622. What is i(-253)?\nAnswer: -137","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 62 is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 10550 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-5700)\/(-24))\/(-25) - 1\/2. Let h be i\/((-10)\/4*1). Find d, given that 0*d - 4\/9*d**3 + 0*d**2 + 2\/9*d**5 + 2\/9*d**h + 0 = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13.9 minus 369?\nAnswer: -382.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1c8256 - -be?\nAnswer: -1c8187","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 151*w - 2 - 226*w + 2257*w**2 - 333*w - 503*w + 2*w**3 wrt w.\nAnswer: 12*w + 4514","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 260275183 to the power of 1\/4, to the nearest integer?\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -166137 bigger than -166126?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h, 1 i, and 1 x when three letters picked without replacement from {h: 1, m: 1, p: 4, x: 1, i: 2}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l - 3. Let p be j(4). Let x(k) = k**2 + 8*k + 8. Let m be x(p). Solve 0 = 4*r - 12, 4*r = 5*w + m + 1 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:18 PM and 5:00 AM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 70a916 (base 11) to base 13.\nAnswer: 30c909","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -21 + 34. Let k = d - 14. Let l(w) be the second derivative of -w**4\/4 + w**3\/6 + w**2\/2 + 2*w. What is l(k)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-67)\/((-22847)\/(-31)))\/((-20)\/(-11)).\nAnswer: -1\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*b - 52*b = 0 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -294 - -297. Let q(k) be the third derivative of 0 + 1\/2*k**s - 6*k**2 + 1\/80*k**5 + 1\/8*k**4 + 0*k. Find i such that q(i) = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32*s**2 - 29*s**2 + 0 + 0 - 16*s**2 + 23*s**2.\nAnswer: 10*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -5\/16 and 19\/180.\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -3139 less than 0.23?\nAnswer: 3139.23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -416 divided by -16\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/(-6)*5\/(90\/27)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20120548?\nAnswer: 2, 7, 29, 71, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 22 + -19. Suppose 0 = 3*v - 0*v, -a + 129 = -y*v. What are the prime factors of a?\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 20 (b) 3\/7 (c) -1\/23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -q**3 - 4*q**2 - 2. Let g(r) = -3*r**3 + r + 1. Let d be g(-1). Suppose -3 = 2*l + d. What is y(l)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 76480?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - (-2 - 0) - -5?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 2)*(-2 + 2 + 3*r) - 66 - 13*r + 66 - 5*r + 3*r + 0*r.\nAnswer: -21*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 24207, 24203, 24197, 24189?\n\"Answer: -m**2 - m + 24209","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -2*j**2 + 2*j + 7. Let z(k) = -4*k**2 + 4*k + 13. Suppose -2*v = 2*a - 7*a + 1, -4*a = -2*v. Suppose -3*p + 30 = v*p. Calculate p*z(h) - 11*f(h).\nAnswer: -2*h**2 + 2*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -127 - -359. Let k = y + -40. Does 16 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 39.2 - 29. Let v = -7.2 + f. Let a = 21 - 85\/4. What is the second smallest value in v, a, -8?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the first derivative of 41*u**2\/2 - 3*u - 24. What is the units digit of q(1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 6*l**3 + 72*l**2 - 6*l + 37. Calculate i(-12).\nAnswer: 109","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = -c - 4*s - 26, 0 = 5*c - s - 32. Suppose 3*h + 3 = -5*x + 19, -4*x + c = -h. Let n = h + 1. What is the units digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 10 - 600*o + 192653*o + 8.\nAnswer: 192053*o - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r**2 - 4494*r - 99352. What is v(-22)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -586, -895, -1250, -1675, -2194?\n\"Answer: -4*q**3 + q**2 - 284*q - 299","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 6299*w - 20. Let v be p(-20). Round v to the nearest 10000.\nAnswer: -130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -365*s + 377*s - 44 - 64 for s.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -4*a - 1. What is the units digit of k(-7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-20)\/45 + (4906\/(-1881) - (-23 - -20)).\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 186600 to the power of 1\/3, to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/4, -2\/3, -12, -1, 2\/3 in ascending order.\nAnswer: -12, -1, -2\/3, 2\/3, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 8209 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5 + -102114?\nAnswer: -102122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -2*n - 115. Let f(w) = 2*w + 117. What is -5*f(y) - 4*k(y)?\nAnswer: -2*y - 125","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1008342912?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -5*x - 10. Let q(d) = -9*d - 19. Let h(i) = 11*k(i) - 6*q(i). Let n be h(10). Is -6 smaller than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 2, c: 4, m: 1, w: 2}. What is prob of sequence mw?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1778136 divided by 1778136.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 147000 divided by 49000\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -353730, -353640, -353552, -353466, -353382, -353300, -353220?\nAnswer: -353142","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -5*n**2 - 121*n - 408. Let w be a(-20). Let r(i) = 49*i - 593. Determine r(w).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-20)\/16)\/((-3)\/12). Let f = -46 + -9. Let c = -51 - f. Solve i = -3*b - c for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*d**4\/3 - 12*d**3 - 22*d**2 + 968*d\/3.\nAnswer: -2*d*(d - 4)*(d + 11)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*f + f - 2*f)*(1 - 1 - 1) + 3 - 3 - 2*f - 3*f + 0*f + 1 - 4 in the form g + c*f and give g.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (6 - 2 - 7)*(-92*f**2 + 11*f**2 - 120*f**2) + 1 + 4*f**2 - 1 as d*f + q + p*f**2 and give p.\nAnswer: 607","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -41*c + 91*c - 48*c. Let m(n) = -4*n - 21*n + 9*n - 3. What is l(m(d))?\nAnswer: -32*d - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is eb - 1a?\nAnswer: d1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -16*g**2 + 509903184*g - 4062519641458404.\nAnswer: -4*(2*g - 31868949)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the third derivative of 11*j**4\/24 + j**3\/6 - j**2. Let v = -134 + 127. Let q be -1 - -1 - (-2 - (-8 - v)). Determine k(q).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -101111000001001110 (base 2) in base 5?\nAnswer: -22130330","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 9598\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p**2 + 73*p + 41300. What is b(-170)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**2 + 110646110*q + 3060640414533025.\nAnswer: (q + 55323055)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14429 - 3664 = -3*p + 2*k, 2*k = p - 6035. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5*(-5)\/(-25)*1*-5.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -44 or -394498?\nAnswer: -394498","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -37*x + 33*x + 16 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/479 at least -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-7)\/(14\/8) - -6. Suppose z*o + o - 15 = 0. Suppose f + 55 = o*p, 2*p - 33 = -p - 3*f. Is 3 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 533*s = 2010*s + 2954 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -43, -82, -147, -238, -355, -498?\nAnswer: -667","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 31 divided by 2.\nAnswer: 31\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 104 = g, 3*g - 4*u = 136 + 216. Suppose 5*i + 4 = g. Is 2\/6 - (-2224)\/i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(1\/3)*i**(-14\/9)*i**(-2\/21)\/i**(1\/4) assuming i is positive.\nAnswer: i**(-395\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 474?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5.5 + 5.4. Let r(z) = z**3 - 6*z**2 + 2*z - 9. Let o be r(6). What is the nearest to t in -0.3, 2\/11, o?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.1, -0.1100612, -210?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1 - 9\/3) + 4. Let t(c) be the first derivative of -6*c**2 + s + 0 - 9 - 13*c - 3. Differentiate t(v) wrt v.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20565 to the power of 1\/2, to the nearest integer?\nAnswer: 143","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.13? (a) -2 (b) 1 (c) 0.1 (d) -2\/27\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -45 - -47. Solve g*n - 5*x + 6 + 3 = 0, 0 = -4*n - 5*x + 27 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 72377693.\nAnswer: 199, 401, 907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 4 = 1. Suppose 0*p = 3*p - q - t, -5 = -q. Suppose -p*h = 4*w - 190, -4*w + 0*h = -3*h - 185. Calculate the remainder when w is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 400 = w + w + 5*q, 2*w - q = 412. Suppose 9*d - w = -34. Let a = -7 + d. List the prime factors of a.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 4 (b) -5\/9 (c) -0.3 (d) -0.4 (e) -2\/39\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w + 20 = 5*s, -12 = -6*w - 177*s + 174*s for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the second derivative of -x**5\/20 - x**4\/4 - x**3\/3 + x**2\/2 + 10*x. Let q be w(-2). Suppose -f = 1 + q. Let n(h) = 6*h + 3. Calculate n(f).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.1 (b) -16.204 (c) 1\/13 (d) 28\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -5*o - 6. Let u(l) = 2*l + 3. Let x(j) = -3*a(j) - 7*u(j). Let y be -1*(-5)\/((-15)\/(-6)). Let w = y - -2. Calculate x(w).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 18057.7 - 18058. Suppose 2*v = 3*s, -2*v + v = 2*s. What is the nearest to s in 3, y, 0.03?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -9 - -6. Let r(c) = c**3 + 3*c**2 - 2*c - 2. Let j be r(u). What is the third derivative of 2*b**j + 3*b**3 + 2*b**2 - 3*b**3 wrt b?\nAnswer: 48*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 2*m**4 + 70*m**3 - 14*m**2 - 14*m - 14. Let h(l) = l**4 + 23*l**3 - 5*l**2 - 5*l - 5. Let t(a) = -14*h(a) + 5*w(a). Factor t(c).\nAnswer: -4*c**3*(c - 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3292 is divided by 260.\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -40065 - -40227. What is the highest common factor of 8208 and y?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12011687 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -19 - -23. Suppose -k = -h*k + 9. Is k at least as big as 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 1 = -3. Let k(v) = -v**2 - 2*v + 3. Let l be k(u). Let c = l - -11. Calculate the highest common divisor of 3 and c.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -25d52 (base 14) in base 16?\nAnswer: -16bf4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 39206 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4297 is divided by 428?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14336 = -4*i + 9492. Suppose -i = -3*q - 1961. Does 12 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 118 + -124 + 7 + -24 + 4\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 16*t + 296. Give c(-33).\nAnswer: -232","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 6*r**3 - 11*r**2 + 11*r + 11. Suppose -h + s = -s - 7, 35 = 3*h + s. Let q(n) = n**3 - 2*n**2 + 2*n + 2. Calculate h*q(l) - 2*u(l).\nAnswer: -l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 3*a**3 - 7*a**2 - a + 32. What is the units digit of j(6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1685010 and 4110?\nAnswer: 230846370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1 + 4)\/3*1. Which is bigger: 2\/119 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1847, 3741, 5647, 7571, 9519, 11497?\n\"Answer: i**3 + 1887*i - 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 54417 is divided by 54417?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 5*z + 37 = 0, -x + 6*x - 2*z + 185 = 0. Let d = -36 - x. Suppose 10*h - 1 + 11 = 0. Put d, -2, h, 6 in descending order.\nAnswer: 6, d, h, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the second derivative of d**3\/6 + 2*d**2 - 2*d. Let n be t(4). Solve -2*g + 0*g = -4*m + n, -4*m = 3*g - 18 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by 5030?\nAnswer: -1\/2515","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 179*d**5 + 20*d + 1?\nAnswer: 3580*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 12\/(-8)*(-2)\/3. Let u(x) = -x**3 - 6*x**2 + 6*x - 3. Let q be u(-7). Let s = q + 0. Sort s, -2, v in descending order.\nAnswer: s, v, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1.4 and 1466.908?\nAnswer: 2053.6712","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 897*80\/920*(-2)\/6\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u - 869 = 541. What are the prime factors of u?\nAnswer: 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-15)\/13)\/(-1) + -4 + 3. What is the biggest value in -0.4, r, -1\/3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3 + 134105172?\nAnswer: 134105175","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 w when three letters picked without replacement from cwcewwewc?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -3765a (base 13) to base 3\nAnswer: -12012010101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 76 - 48. Suppose -176 = -2*p - 4*c, -p - 343 = -5*p - 5*c. Suppose -127 = -5*h - p. What is the smallest common multiple of h and v?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4\/7, -4\/9, -1\/3, 8\/7 in decreasing order.\nAnswer: 8\/7, 4\/7, -1\/3, -4\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g**2 - 10*g + 11. Let x be q(9). What is the third derivative of -3 - 2*d**6 + x*d**2 + 0*d**2 + 3 wrt d?\nAnswer: -240*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c*c**3*c**(-3))\/(c**0*c*c\/(c\/((c\/(c*c*c**(1\/2)\/c*c))\/c))) assuming c is positive.\nAnswer: c**(7\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*v = 50 + 52. What is the smallest common multiple of v and 13?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-80)\/(-24))\/((-4)\/18*-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 3 + 3)*(2 + 3 + 0)*(3 + 2 - 1)*(0*m + m - 7*m).\nAnswer: 120*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 - 19.955935297?\nAnswer: -19.655935297","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o = -2*r + 12, 2*r = -o + 5*o - 12 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 15482640.3 to the nearest 100000.\nAnswer: 15500000","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = 5*f - 5*d - 359, -2*f + 143 = -d. Let o be 6\/(-4 + (-38)\/(-8)). What is the greatest common factor of f and o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2 - 6c2?\nAnswer: -6c0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -39091829, -39091830, -39091831, -39091832, -39091833?\n\"Answer: -y - 39091828","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 5*(1 + (-1 + sqrt(1377))**2 + (sqrt(17) - (sqrt(17) + sqrt(1377) + 0)) + (sqrt(34)\/sqrt(32))**2) + -1.\nAnswer: -135*sqrt(17) + 110373\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*n - 3*k, -k - 10 = 4*n + 6 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 19*p + 6. Let s(i) = -19*i. What is 9*a(l) + 8*s(l)?\nAnswer: 19*l + 54","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4334250167?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -593 - -1243. List the prime factors of k.\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.591 + 0.491. Which is the closest to t? (a) 0.5 (b) -1\/5 (c) 84\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 105 - -9?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-713)\/(-1012)*11)\/((-2)\/(-2192))?\nAnswer: 2, 31, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1127311698?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -2*s**2 - 257*s - 1353. What is u(-123)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put together -10.71741127 and 0.2.\nAnswer: -10.51741127","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 2, -2, -15, -4, 13, -5.\nAnswer: -15, -5, -4, -2, 2, 6, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 520*f**6 - 1565*f**2?\nAnswer: 62400*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 159 + -156.5. Let z = -17 + 12.5. Let g = z + m. What is the nearest to 1 in -2\/7, -0.5, g?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*((((l**3*l*l*l)\/l)\/l)\/l)\/l)\/l**3*(l**0)**(2\/17)*(l**(-1)\/l)**(3\/7)*(l**(-1\/4)\/l)\/l**6 assuming l is positive.\nAnswer: l**(-227\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-180)\/440*(-4)\/(-6). What is the closest to m in 2\/7, 1, 4?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 657?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21917?\nAnswer: 7, 31, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 492 is divided by 61?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -85*l - 14 = -83*l - 2*q, -4*l - 30 = -5*q. What is the second biggest value in l, 3, -1\/2, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3 - -10. Calculate the remainder when (-20 + 2)\/((-4)\/92) is divided by w.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 204394569.\nAnswer: 3, 479, 142237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*f - a = -130, -5*f - 5*a + 64 + 17 = -15 + 6 for f.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -3187*s**3 + s**2 - 12*s - 13. What are the prime factors of t(-1)?\nAnswer: 3187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -423203321 (base 6) in base 2?\nAnswer: -11100010111000110000001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -3766, -0.3, -3 in decreasing order.\nAnswer: 6, -0.3, -3, -3766","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-26)\/(-78) + 4\/12. Which is the nearest to r? (a) 1\/4 (b) -78 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = -0 - 4. Suppose -3*i = -p*n - 1617, 5*n = i - 6*i + 2660. What is the tens digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 811.8206 seconds?\nAnswer: 811820600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -61*n = -92*n + 52*n - 231 for n.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-42*h - 68*h + 146*h)*(h - h + 5*h).\nAnswer: 180*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 71*j - 43 + 37 - 207 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 24244414 a multiple of 212?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 1 + 2)*(-3 + 2 + 3)*(60 + 2*u - 60).\nAnswer: -12*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1 - 67) + 4 + -1. Let f = -64 - u. Suppose 5*n - 3*z = -6, 2*n - 3*z = -0*z - 6. Sort n, f, 5.\nAnswer: f, n, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2, 1\/16, -9499?\nAnswer: -9499","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 129*o = -h + 127*o + 16, -o + 11 = h. Suppose 0 + 4\/3*q - h*q**2 + 14\/3*q**3 = 0. What is q?\nAnswer: 0, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.02 + 0.02. Let m = w - -2. Let k = 3.4 - 3. Which is the smallest value? (a) k (b) -2 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 0.3987965 millimeters?\nAnswer: 398.7965","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, -246, -1.\nAnswer: -246, -8, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 5554940247?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -7*j**3 + 7*j - 2. Let l(m) = 6*m**3 - 6*m + 1. What is -5*l(q) - 4*o(q)?\nAnswer: -2*q**3 + 2*q + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -71 + -75133?\nAnswer: -75224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 426*v - 10646. Let f be r(25). Let a(q) = -2*q**3 + 11*q**2 - 5*q - 9. Determine a(f).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (56*b - 109*b - 82*b)*(0*b + 5*b - 3*b).\nAnswer: -270*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 2*h - 52 - 1806*h**2 + 781*h**2 + 1024*h**2. What is m(0)?\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6602 and 371577065.\nAnswer: 3301","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the third derivative of -o**8\/2240 + o**6\/360 - o**4\/24 - o**2. Let v(a) be the second derivative of w(a). Find the second derivative of v(f) wrt f.\nAnswer: -18*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13516 to the power of 1\/2, to the nearest integer?\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 3*r - 1527 = -5*c, 0 = 2*c + 10. Suppose -r = -j - 15*j. Let w = j - -42. What is the hundreds digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that -2*l**3\/5 + 292*l**2\/5 - 1112*l\/5 - 3408\/5 = 0.\nAnswer: -2, 6, 142","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 68015324 and 1961?\nAnswer: 1961","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 23 divided by -533\nAnswer: -23\/533","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -79 - 279 + 1 + 18*w**2 + 23 + 23*w**2 to the form m*w**2 + s*w + q and give q.\nAnswer: -334","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3819 and 867.\nAnswer: 1103691","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the first derivative of h**7\/840 + 7*h**6\/360 + h**5\/30 - h**4\/8 + 8*h**3\/3 + 3. Let f(a) be the third derivative of g(a). What is f(-6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 291078 is divided by 290883.\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7491.44 + -7543.4403. Let t = a - -52. Round t to 3 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 15 + 0. Suppose 5 = -4*w + 177. What is the remainder when w is divided by o?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -38\/85 and 31\/102?\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -3*r**3 + 7*r**2 + 77*r - 58. Give u(6).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**3 + 26*s**2 - 112*s + 160.\nAnswer: -2*(s - 5)*(s - 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuiyuuyygyy. What is prob of picking 1 u and 1 y?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2217*w + 5*m - 75 = 2215*w, 19*w = -4*m + 147 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2 - -6.95.\nAnswer: 6.75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37*(4392\/(-6))\/(-12)?\nAnswer: 37, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11*1437.1.\nAnswer: -15808.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1137, -111, -1337, -2529, -3675, -4763?\n\"Answer: 2*w**3 - w**2 - 1259*w + 2395","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/9, -0.5, -0.4, 27406, -1.48?\nAnswer: 27406","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 (base 11) in base 3?\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -20172943, -20172957, -20172971, -20172985?\nAnswer: -20172999","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*g + 3*o = 22*g - 27, -20 = 5*o. Let s(y) = -2*y - 2. Let i(v) = 3*v + 2. Calculate g*s(z) + 4*i(z).\nAnswer: 2*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:28 PM and 11:31 PM?\nAnswer: 243","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x**2 - x. Let h = 1 + -4. Let w(k) = 7 - 3*k + 4*k**2 - 7. Give h*r(p) + w(p).\nAnswer: p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z*z\/z**8*z*z*z*z*z**(-17) assuming z is positive.\nAnswer: z**(-19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:27 AM and 8:16 AM?\nAnswer: 49","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -2*(1 + -8) - 455216\/34636. Factor s*y**2 + y + 0 - 1\/7*y**3.\nAnswer: -y*(y - 7)*(y + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wwgw when four letters picked without replacement from gwgggwggggggwg?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/11 (b) -89855 (c) -6\/61 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1508964024 to the nearest integer?\nAnswer: 197","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1712?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7) + (2 + sqrt(7))**2)*-3 - sqrt(3969)\/sqrt(7).\nAnswer: -24*sqrt(7) - 33","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -12*v - 24. Suppose -56*r = -45*r + 22. Let z be i(r). Solve 0 = -2*j + 10, s - 3*j + 4*j - 4 = z for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.7 - -0.041664541\nAnswer: 0.741664541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 7711832 to the power of 1\/2, to the nearest integer?\nAnswer: 2777","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 0.6407558 micrometers?\nAnswer: 640.7558","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-4\/9)\/(h\/(h**(2\/19)*h))*(h**5*h)\/h*h**0)\/((h\/(h\/(h*h**0*h))*h)**(-1\/4)\/(h**(-1)\/(h*h**(-2\/11)))) assuming h is positive.\nAnswer: h**(27031\/7524)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 2*b**3 - 19*b**2 + 14*b - 33. Let k be 1\/2 - (105\/14)\/5. Let p(m) = m**3 - m - 1. Let q(n) = k*o(n) + p(n). Is q(13) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6 - -5.8. Let a = 777.1 - 777. Sort a, 1\/8, 0, b.\nAnswer: b, 0, a, 1\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -361, -724, -1087?\n\"Answer: -363*x + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zuicidtzzizdiidddzt. Give prob of picking 1 z and 1 c.\nAnswer: 5\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 15\/2*(-30)\/(-9). Suppose -2*o - 2*j = u + 21, -j + 65 = -3*o. Calculate the common denominator of -67\/18 and (-105)\/(-10)*6\/o.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -70 - -70. Suppose -5*w + 5*o - 16 = 24, -5*w - 4*o - 31 = f. Let x(p) = -6*p + 1. Let i(c) = 13*c - 2. Let k(l) = w*x(l) - 3*i(l). Give k(-6).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.4 (b) 0 (c) -2\/3 (d) -3\/10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*r = 102*r + 110*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 70427 + 28032 + 9979 + 28182 = 2970*l for l.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -9377 + -0.4.\nAnswer: -9377.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 239321288237 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 25887845 and 2425?\nAnswer: 485","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4798763.\nAnswer: 41, 117043","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -1 + c + 1. Let i(m) = m**3 + 6*m**2 - 8*m - 4. Let s be i(-7). Let k(y) = -9*y + s*y + 13*y - 5*y. Determine q(k(u)).\nAnswer: 2*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -41 + 38. Let j = 206 - 202. Let o(p) = 66*p**2 + p**3 + 3*p + 63*p**2 - j - 124*p**2. What is o(m)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -91844, -91137, -90446, -89777, -89136, -88529, -87962?\n\"Answer: -f**3 - 2*f**2 + 720*f - 92561","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -19387.9 - -19389. Sort -0.1, 9, u, -0.4, -1 in descending order.\nAnswer: 9, u, -0.1, -0.4, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/9 (b) -5 (c) 8.574 (d) -0.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-50)\/(-15) - (-5)\/(-15)) + -13.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/(c**4\/c))\/c*c**(1\/14))\/(c**(-1\/4))**(-11\/3) assuming c is positive.\nAnswer: c**(-323\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*w + 0*w + 3*w)*(w - 2 + 4*w - 6*w).\nAnswer: -5*w**2 - 10*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.3 - -0.5. Let a = 0.365 + 0.135. Put 1, a, 3, x in ascending order.\nAnswer: x, a, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 95 divide 459?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7721 + -11654. Let m be (-6)\/57 - 528\/i. Does m = 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4917659 to the nearest integer?\nAnswer: 2218","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 200000 rounded to the nearest one hundred thousand?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.035 - 0.065. Which is the second biggest value? (a) -3 (b) s (c) 8\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = -4*h - 4396, 4*v + 5*h - 10390 + 5994 = 0. Solve -1049 + v = 10*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(9\/10)*m)\/(m*m*m\/(((m\/m**27)\/m)\/m)) assuming m is positive.\nAnswer: m**(-291\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = -4*p - 3. Suppose 0 = 2*r - 32. Let i = r + p. List the prime factors of i.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(2\/5)*u**(-3\/2))\/(u**(-4)\/(u**0*u*u))*u*u**(-1\/12)\/u*u*u**(3\/2)*(u*u**1)\/u**(3\/7) assuming u is positive.\nAnswer: u**(3733\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1226 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 14 and 262948273?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2641640*l - 2184 = -2641588*l for l.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -248362205 divided by 5?\nAnswer: -49672441","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x, 1 w, and 2 s when four letters picked without replacement from {w: 1, s: 2, x: 1, n: 5}.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 - 1)*(3*s - 2*s + 2*s) - 56*s - 8*s - 31*s.\nAnswer: -101*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 408542?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31 = 3*m + 5*n, -5*m + 773*n = 768*n + 15 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = g**2 + 2*g + 2. Let l be d(-2). Let a be (-12)\/9*3\/1. Let h = a - -7. Is h greater than or equal to l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h**2 - 12*h - 3. Let x(v) = -2*v**2 - 23*v - 5. Let t(a) = -5*b(a) + 3*x(a). Let k = 3615 - 3624. Determine t(k).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-3)\/p*p*p**(2\/7)*p\/p**(-1\/4)*((p*p**(-3\/7))\/p)\/p)**(-7))**(3\/22) assuming p is positive.\nAnswer: p**(243\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-35*27\/(-945))\/((36\/(-3))\/(-1044)).\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -8*l - 43. Let w(d) = 20*d + 108. Let q(c) = -12*t(c) - 5*w(c). Let b be q(-7). Suppose 4*j - 12 + b = 0. Solve j = o - 3*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*w + 110*z = 111*z + 7, -4*z + 10 - 7 = -5*w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 1 + 1)*(-2*i + 0*i + 0*i) + (33*i + 14*i - 19*i)*(3 - 3 - 2) + 7*i - 14*i - 17*i in the form c + g*i and give g.\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 24695547397 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*h - 4*h**3 - 15*h + 2*h + 44*h**3 + 46*h**3 + 31*h**3 + (4 - 4 - h)*(-3*h**2 - 4*h**2 + 6*h**2) to the form r*h**2 + o + x*h + q*h**3 and give q.\nAnswer: 118","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 10*y**3 - 5*y**2 - 11*y. Determine q(-2).\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 + 0 - 4)*(2*s - 4 + 4)*(-2 - 2 - 1)*(133 + 20 - 26) to f + a*s and give a.\nAnswer: 1270","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 9 (base 12) to base 11\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1 (b) 1.67 (c) 4 (d) 0.03\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k = 3*u - 49, -5*u + 5*k - 5415 = -5450 for u.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 42 and 132078?\nAnswer: 924546","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -326*k*l**2 - 143*k*l + 8681*l**3 - 5*l - 1962 wrt l.\nAnswer: -652*k + 52086*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((1*-2*sqrt(168))\/sqrt(8)*-4)\/(6*(sqrt(1008) + (sqrt(1008) - (sqrt(1008) + sqrt(1008) + -1*sqrt(1008))))*-4).\nAnswer: -sqrt(3)\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 3, q: 1}. What is prob of sequence qoqo?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1 - -407?\nAnswer: 406","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*d**2 + 4*d**2 + 11*d**2 + 4*d**2 to the form k + h*d**2 + m*d and give h.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -2*a**3 + 8*a + 1. Suppose -2*d - 10 = 0, -22 = v + v + 2*d. Let z be h(v). Suppose 5*p + 0*p - z = 0. List the prime factors of p.\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 13 + -17. Let q(y) = -y**2 - 4*y + 5. Let r be q(i). Suppose 0 = -r*h + 2*h + 12. Which is the third smallest value? (a) -0.3 (b) 5 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*r**3 + 50*r**3 - 13*r**3 - 9*r**3 - 6*r**3.\nAnswer: r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 0 - 5582?\nAnswer: -5582","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that 6*p**5\/5 - 5521*p**4\/5 + 1302736*p**3\/5 - 14825081*p**2\/5 - 50142484*p\/5 - 6801828 = 0.\nAnswer: -11\/6, -1, 15, 454","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -101 - 245 = -2*d. Find the second derivative of -8*y**5 - 173*y**4 + 8*y + d*y**4 wrt y.\nAnswer: -160*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that 2*q**2 - 98168*q + 16143270 = 0.\nAnswer: 165, 48919","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -b**3 - 3*b**3 + 0*b**3 + (0*b - b + 3*b)*(-11*b + 12 - 18 + 27*b)*(b + 1 - 1).\nAnswer: 28*b**3 - 12*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 239873 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 23*(-14)\/1288*(-2)\/(-4)?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 51.94734 millimeters to nanometers.\nAnswer: 51947340","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4139933559.\nAnswer: 3, 2441, 565333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1869948781 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (0 - -177)*1\/3. Let f = 110 - c. Suppose -3*y = -2*l + 5*l - f, y = -4*l + 11. Is 19 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -525c5 + 2?\nAnswer: -525c3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**2 + 779*u + 26040.\nAnswer: (u + 35)*(u + 744)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z + z - 5*z - 7. What is the tens digit of u(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 20, 19, 16, 11?\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*p + 91 - 91)*(-5 + p - 3*p + 8)*(-6 + 2 + 1)*(-4 + 4 - 4*p**2).\nAnswer: 168*p**4 - 252*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 28809 and 0.4?\nAnswer: 11523.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 333\/28 - -90*68\/(-510). Which is the closest to 2? (a) -0.5 (b) 0.3 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o**3 + 4462*o**2 + 71151*o + 66690 = 0. Calculate o.\nAnswer: -4446, -15, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6 - 1) + 3 + 9 + -26.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*t = 10*t + b + 738, -5*t + 5*b = 910. Let c = t + 179. Let i(z) = -z**3 - 4*z**2 + 6*z - 2. Give i(c).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s + 3. Let z be j(0). Let r be -1*(-27)\/(-12)*(-4)\/(-3). Sort -1, 1, r, z in descending order.\nAnswer: z, 1, -1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 3750.494 decades?\nAnswer: 37.50494","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 69029 is divided by 216?\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 27 and 39.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, -7\/18, 5, 1, 0 in ascending order.\nAnswer: -7\/18, -0.1, 0, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 17*h**3*l**3 - 2*h**3*l - 3*h**2*l**4 + h**2*l**2 + 9*h**2*l + 2*l**4 wrt l.\nAnswer: 102*h**3 - 72*h**2*l + 48*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(0 + 2*sqrt(5)).\nAnswer: 8*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - h = -12. Let n be 15\/90*0 - (1 + -5). Solve v + h = n*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that 15*b**5 + 1737*b**4\/2 + 13293*b**3 + 64281*b**2\/2 + 6633*b - 13068 = 0.\nAnswer: -33, -22, -12\/5, -1, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -23\/11312 and -23\/82416.\nAnswer: 576912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1077584, -1077600, -1077636, -1077704, -1077816, -1077984, -1078220, -1078536?\nAnswer: -1078944","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -27 by -27.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -216, -426, -630, -828, -1020, -1206?\n\"Answer: 3*t**2 - 219*t","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -316*x. Let z(d) = -d**2. What is z(l(n))?\nAnswer: -99856*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.4437311 and -21.\nAnswer: 9.3183531","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -16\/1029 and -38\/351.\nAnswer: 120393","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e when two letters picked without replacement from rdsederdxsxzed.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 2*k**2 + 5*k + 4. Let s(j) = j**3 - 9*j**2 - 11*j + 15. Let v be s(10). Suppose -4*r - 17 = -v. Calculate p(r).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 277 is divided by 62.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 447 = -r, 3*f - r + 180 = 5*f. What is the remainder when f is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -112 divided by -4?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 124592 and 208?\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, -25, -2, 1, -1 in increasing order.\nAnswer: -25, -9, -2, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -1. Let a(w) = -w**2 + 4*w + 13. Let s(c) = a(c) - 4*x(c). Let y be s(7). Let n = 156 + y. Is n a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4.28 + 4.3. What is the nearest to 3 in -5, 0.2, q?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12 (base 4) to base 8\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1976 - -185. What is the remainder when s is divided by 103?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 5*l - 5. Let w(a) = 15*a - 14. Suppose -s = 6 + 2. What is s*r(q) + 3*w(q)?\nAnswer: 5*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 656994 and 1365?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 1, -7, 3, 6448 in decreasing order.\nAnswer: 6448, 3, 1, -4, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 51578 and 1681?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aw when two letters picked without replacement from yrkwrkwyakyy.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 96890460?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -5, -2\/11, -5889?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -11 + 8. Let g be (8\/10)\/(1\/(-10)). Let a(k) = 11*k**2 - 2*k. Let i(w) = w - 3*w**2 + 0*w - w**2. What is g*i(n) + j*a(n)?\nAnswer: -n**2 - 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*a = 1473 - 3745. Calculate the highest common factor of a and 23998.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -5*z**3 - 4*z**2. Let h be (-10)\/2*(-22)\/10. Let n(w) = 14*w**3 + 11*w**2. Calculate h*a(m) + 4*n(m).\nAnswer: m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 681\/(-75) - (-8)\/100?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -23 + 26. Let r = -10 + 15. What is the closest to x in -4, 3, r?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.094878 + -0.1048. Round z to three decimal places.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 394 + 408642?\nAnswer: 408a16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k - 5 - 1 = 0. Let g(r) = -514*r + 2. Let p be g(k). Suppose 2*c + p = 4*m + 4*c, -c + 512 = 4*m. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5651779 to the power of 1\/4, to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1548594.57 rounded to the nearest one hundred thousand?\nAnswer: 1500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -3 + 5 + (-24)\/3 - -138?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -271\/26214 >= -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*t + 0*t + t)*(-4 + 0 + 2) - 10 - 9*t + 10.\nAnswer: -7*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*d = 10*d - 4, 5*l - 186307 = -d. What are the prime factors of l?\nAnswer: 7, 5323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*c + c + 0*c)*(11 + 16 + 28)*(0 - c + 0) in the form u*c + n*c**2 + j and give n.\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1981588, 1981586, 1981584, 1981582, 1981580?\nAnswer: 1981578","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(2\/15))**43*((i**(-4)\/i)\/i)\/(i*i**(2\/5)))**(3\/2) assuming i is positive.\nAnswer: i**(-5\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 53 divide 477?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 490 + -490.5. Let o be -2 - (-2 + 4)\/(-1). What is the nearest to o in m, 3, -4?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 1, r: 1, w: 1, v: 2, s: 2}. Give prob of picking 2 v and 1 p.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 15 = 18 - 25. Suppose 3*i - 16 = -i. Suppose 4*k = 2*a - a + 22, i*a = -4*k + 12. Solve -3*u + c = -k for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 143706707 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*v**2\/5 + 948*v\/5 + 358112\/5.\nAnswer: -2*(v - 722)*(v + 248)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 142577 to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(22)\/(1*sqrt(2)*6 + sqrt(2))*4)**2.\nAnswer: 176\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = -5*n + z - 39, -3*n - z - 22 = 0. Let w(j) = j**3 + 6*j**2 - 9*j - 3. Suppose 3*s - 31 = 2*s. What is the remainder when s is divided by w(n)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gzk when three letters picked without replacement from zzkrzzzkwrgzgwzgkw.\nAnswer: 7\/544","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (46786\/10728)\/((-2)\/6) + 13?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-107)\/15 - ((-78)\/(-90) + -1)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45142 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -39, -161, -365, -651?\nAnswer: -1019","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Do 83569\/4240 and 20 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-10)\/(-45) - 8096\/(-18). Round z to the nearest 100.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = -t + 74, 19 - 14 = -5*i. Calculate the lowest common multiple of t and 72.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -138 - -144. Suppose -704 = -26*k - h*k. Solve 0 = -2*g - 20 + k for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 less than 5573?\nAnswer: 5590","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*d - 1840 - 1016. Is 8 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l**2 + 4. Let d be t(-3). Let i be ((-12)\/(-42))\/(d\/(-7)). What is the second biggest value in 1\/3, -2\/7, i?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.914 - 457.086. Let n = -457.8 - t. Which is the fourth smallest value? (a) n (b) 62 (c) 0.3 (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = -3*u. Suppose 51*l**2 - 13*l**3 + u*l - 9*l - 2*l**3 - 9*l = 0. What is l?\nAnswer: 0, 2\/5, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.07, 3, 26527\/3, -9.\nAnswer: -9, 0.07, 3, 26527\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + 24 + -26 + -12.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*s - 0 + 16. Let h be 450\/s*(-353 + -2 + 3). What is h rounded to the nearest one thousand?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 159*m. Let y(x) = 6*x. Calculate j(y(k)).\nAnswer: 954*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.941788 hours in days?\nAnswer: 0.1225745","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -32 + 28 + 10 + (-2 - -3 - -6)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-30)\/(-75))\/((-2)\/(-10)). Solve -2*m = -2*n - 2, 4*n - 13 = p*n - m for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 14.79 and -2.759?\nAnswer: -40.80561","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -15520 by 5.\nAnswer: -3104","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -67 + 37. Is 130\/3*(-45)\/m a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -7265 and 4.\nAnswer: -7261","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 32 and 27280.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.8609495 litres?\nAnswer: 860.9495","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/(306\/27)*2\/(-1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 73\/5 of a litre in millilitres?\nAnswer: 14600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3\/4, -52, -14, -2\/5?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2620670 to the nearest integer?\nAnswer: 138","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 30 - 27. Solve -h = -5*x - c, 0 + 10 = -2*x - 4*h for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*b + 203 - 2555. What are the prime factors of b?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the first derivative of -x**3\/3 - 7*x**2 - x - 45. What is i(-14)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -87*b - 268 - 1254 = 2741 for b.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -526*h - 29573 = 9704 - 8769 for h.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 6*z**2 - 6*z + 4. Let u be (-2 + 3 - 10)\/1. Let p(t) = -13*t**2 + 13*t - 9. Suppose 4*y + 16 = -0*y. Determine u*r(l) + y*p(l).\nAnswer: -2*l**2 + 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -1597 > -1596?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-30 - 400 - 314)*(-2 - 4 + 4)*(2*p - 2*p + p).\nAnswer: 1488*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*h - h - 42. Suppose h*l - 196 - 210 = 0. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -33*t + 86*t - 6789 - 472. What is the remainder when t is divided by 92?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 532 minutes before 4:46 PM?\nAnswer: 7:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 1, x: 4, k: 1, w: 2, v: 2, i: 2}. Give prob of sequence vwhw.\nAnswer: 1\/2970","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*w**2 + 18*w**2 - 6 + 6.\nAnswer: 43*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/9*(-324)\/270?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t**2 - 13*t + 42. Let r be l(8). Solve 3*j - r*j - 4 = 0 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3799, 7599, 11399, 15199, 18999, 22799?\nAnswer: 26599","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.176 rounded to 2 dps?\nAnswer: -1.18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = -3*s - 113, 457*n - 461*n + 484 = -4*s. Solve -27*j - n = -2*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -171 - -209. Let w(j) = -30 + 116 - c - 7*j - j**2 - 40. Let v be -4 + 2 + (-4 - 1). Determine w(v).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-1)\/(-12))\/((-8)\/(-24)). Which is the smallest value? (a) 0.2 (b) m (c) -0.9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 658 and 156759946?\nAnswer: 658","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5.95*8617.\nAnswer: -51271.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 6\/(-10) + 143\/455\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15516590 to the power of 1\/2, to the nearest integer?\nAnswer: 3939","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -4, -33, -102, -229, -432, -729, -1138?\n\"Answer: -3*r**3 - 2*r**2 - 2*r + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/((-13)\/3 - -4). Let k(j) be the first derivative of -1\/3*j**l - 2 + 3\/2*j**2 - 2*j. Find p such that k(p) = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -31\/5 - 1\/5*z**3 - 29\/5*z**2 + 61\/5*z.\nAnswer: -(z - 1)**2*(z + 31)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00050589 rounded to six decimal places?\nAnswer: -0.000506","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-10)\/3)\/(2\/(-3)). Suppose -o*j + 1 = -4. Suppose -5 = -y + j. Let h(n) = -n**2 + 4*n + 6. Give h(y).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.555 + -0.075. Let j = q - -0.73. Is -1\/80 smaller than j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -20401 + 2.2539092\nAnswer: -20398.7460908","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -13, -79, -189, -343, -541, -783?\n\"Answer: -22*x**2 + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 9*f**2 + 0*f + 21 + 0*f - 20. Determine b(-1).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 42837*q**3 - 655*q**2. Let l(t) = -131*t**3 + 2*t**2. Give -2*k(r) - 655*l(r).\nAnswer: 131*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 6*r - 40 - r - 3*r + 5*r. Let m be u(7). Let q(c) = 14*c**2 + m*c - 16*c**2 - 3*c. Give q(4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1618806, -3237844, -4856882, -6475920, -8094958?\nAnswer: -9713996","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/4 and (-1)\/20*(-590)\/(-8).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 19 = 2*f. Calculate the remainder when 44 is divided by f.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -67 + 48 + (-66)\/(-3). Factor -10\/3*i**2 + 0*i + 2\/3*i**4 - 8\/3*i**p + 0.\nAnswer: 2*i**2*(i - 5)*(i + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3173977 by -3173977.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j**2 + 5. Let y be u(0). Suppose 5*h - 33 = -2*w, -y*w = -5*h + 5 - 0. Calculate the greatest common divisor of 12 and w.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 810930 and 120?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 370 - 233. Calculate the remainder when d is divided by 20.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -55.84878 to 2 decimal places.\nAnswer: -55.85","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-45)\/150*(-2)\/(-3).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -56*q**2*z**3 - 4*q**2*z - 2*q**2 - 24*q wrt z.\nAnswer: -168*q**2*z**2 - 4*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -377*r**5 - 866*r**4 - 2*r**3 - 5942155*r?\nAnswer: -7540*r**3 - 10392*r**2 - 12*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -1, 8, -4, -4479 in increasing order.\nAnswer: -4479, -4, -2, -1, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*y - 3*y - 3*y)*(26 + 11*y - 26) - y + 5*y**2 + y.\nAnswer: -28*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 683592 > 683592?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = 8*i - 6*i - 7*p, -5*i + 2*p - 2 - 22 = 0 for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 25151438 and 338?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3 + -52*(-3 + 2) is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -6, 4, -3?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + -2 - (15 - (27 - 8))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.54 - -4.54. What is the closest to 2\/3 in 0.4, u, -3\/4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4507*n - 16221 = 33356 for n.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.2, -5, -1.2, 0?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 844?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = 7*o + 27. Let m = -4 - o. Solve m*h = h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*sqrt(7)*-1 + (sqrt(7) - (sqrt(21)\/sqrt(3) + 0)) + (sqrt(28) - (4 + (sqrt(28) - (sqrt(28) + -3*sqrt(28))))))*-5 + -5)**2.\nAnswer: -300*sqrt(7) + 925","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5931323961?\nAnswer: 3, 31, 37, 1723721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 38521 to the power of 1\/2, to the nearest integer?\nAnswer: 196","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 391162898.207822374 + -0.207822374. Let n = 391163130.000101 - g. Let t = 232 - n. Round t to 4 decimal places.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*k**3 - 10*k**3 + 4*k**3)*(7*k**2 + 0*k**2 - 2*k**2) + 8 - 23*k**5 + 25*k**5 - 2.\nAnswer: -53*k**5 + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 8000 divided by -1600\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = y - 12. Sort 4, y, 2 in decreasing order.\nAnswer: y, 4, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/40)\/(1881\/(-1044582)) + 3\/(-10)?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the third derivative of 0*v + 4*v**2 + 1\/30*v**5 + 5\/8*v**4 + 0 + 35\/6*v**3. Let y be p(-10). Calculate the greatest common divisor of 17 and y.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = g - 0*q + 2, 4*g + 2*q = 22. Is ((-476)\/16)\/((-1)\/g) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l*l\/(l**(1\/2)\/l)*l)*l**(-2\/21)\/l)\/(l**(-1\/2)\/l)**(-26)*(l**(2\/23)*l\/(l\/(l*l**(-8)*l)))\/(l*((l\/l**5)\/l)\/l*l\/(l*l\/l**(2\/9))) assuming l is positive.\nAnswer: l**(-123833\/2898)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 180*s**2 - 46*s - 7. Is a(6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 3, e: 1, u: 2, f: 6}. What is prob of sequence uoe?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*v**2 - 9*v**2 + 2*v**2)*(23 + 34 + 16) + 0*v + 2*v**2 + 0*v.\nAnswer: -874*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 7\/139 or 0?\nAnswer: 7\/139","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 25994377 to the power of 1\/2, to the nearest integer?\nAnswer: 5098","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y**2 - 31*y + 59. Let g be x(29). Suppose -c - 10 = -2*q, 5*q + 10 = -2*c + 35. Let s be (3 - q)\/(2\/g). Let d(k) = -12*k**2 + 1. Determine d(s).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1064\/5472*525\/742 + ((-2)\/16)\/1\nAnswer: 2\/159","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 27*v**2 - 26*v - 19*v - 2*v**3 - 29*v - 7*v + 62*v in the form c + r*v**3 + p*v**2 + g*v and give p.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 118?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -989 + 4903\/5. Let y = -3815\/4 - -935. What is the common denominator of u and y?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 5921 or 25?\nAnswer: 5921","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/8 of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**5 - 9*s**4 + 7*s**3 + 9*s**2 - 8*s.\nAnswer: s*(s - 8)*(s - 1)**2*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 25 and 41500?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -120 + -26282?\nAnswer: -263a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 126*n - 216*n + 175*n.\nAnswer: 85*n + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5209862?\nAnswer: 2, 7, 197, 1889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -8138575860 divided by 6?\nAnswer: -1356429310","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 151\/(-755)*(-2)\/(-3)\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s + 2. Suppose -2*a - 5*x = 10, 32*a - 28*a + 20 = 5*x. Let b(n) = 3*n - 5. Let w be (2\/(-3))\/((-2)\/(-6)). Calculate a*z(i) + w*b(i).\nAnswer: -i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 933 + -919. Solve p - 19 = -x for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 minutes before 6:02 PM?\nAnswer: 5:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -l**2 - 504*l - 506*l + 1022*l to the form x + k*l**2 + o*l and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -163*o + 171*o = 7296. Does 12 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z**2 + 2*z**2 + 0*z**2)*(-220*z + 635*z + 204*z - 18 + 18).\nAnswer: 619*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k**2 + 4420*k + 1550785 = 0 for k.\nAnswer: -269, 1153","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 1579.1 to the nearest one hundred.\nAnswer: 1600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 37*z - 37*z - 48*z**4 + (-4*z**2 - z**2 + 3*z**2)*(z**2 + 2*z**2 - 9*z**2) + 3*z**4 + z**4 - 2*z**4 + 3*z**4 + 0*z**4 - 2*z**4.\nAnswer: -33*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is (-4)\/(-7) - 417059\/(-161) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*u = -37*u + 252*u - 6120. Calculate the remainder when 6765 is divided by u.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 70794 a multiple of 104?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -28*k**2 - 1876944*k - 3217536.\nAnswer: -4*(k + 67032)*(7*k + 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 71 is divided by (-4 - (-110)\/30)\/((-1)\/33).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -233130300130 (base 4) to base 13\nAnswer: -27667c0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -34567856 rounded to the nearest one hundred thousand?\nAnswer: -34600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(5 + (0 + sqrt(80))**2 + (sqrt(5) - (sqrt(500)*1 - sqrt(500) - sqrt(500))**2) + -1).\nAnswer: -416 + sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -20.5 - -21. Which is the closest to -20? (a) 1 (b) 3 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i - 14*o + 12 = 0, -8353*i + 2*o + 135 = -8358*i for i.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 704 - 0.2.\nAnswer: 703.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*t + 5*g + 4470, 0*t + 3571 = 4*t - 3*g. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4247536*x**5 - 4702726*x**2.\nAnswer: -254852160*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3*236411.8.\nAnswer: 70923.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 + -2. Let z(l) = 7*l - 4. Let n(x) = -6*x + 3. Let v = -14 + 9. Give r*z(c) + v*n(c).\nAnswer: 2*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1001 (base 2) to base 16.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1620.2 and 0.5.\nAnswer: 810.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 210 = -5*i + 230 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*y = -22*y. Suppose y = -k - 0*k + 88. Is 19 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 20 + -19.991. Let b = 2099.291 + -2103. Let k = h + b. Round k to the nearest integer.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3413424220 (base 5) to base 14.\nAnswer: 100b769","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 - -1 - (-1708 + 1646)?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 52.39518 litres to millilitres.\nAnswer: 52395.18","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1011651 + 1?\nAnswer: -1011650","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -71, 73256, -6, -4 in descending order.\nAnswer: 73256, -4, -6, -71","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32742?\nAnswer: 2, 3, 17, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -41978*l**2 + 2*l - 59894 wrt l?\nAnswer: -83956*l + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 19192 minus -0.86?\nAnswer: 19192.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -6\/7, 2, 250 in ascending order.\nAnswer: -6\/7, 2, 250","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 9*l**2 + 1. Let y(m) = 12*m - 1. What is y(q(s))?\nAnswer: 108*s**2 + 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 6856\/9 - (-26)\/117. Let x = c + -759. Calculate the greatest common factor of x and 75.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-8)\/5)\/(2\/(-5)*1). Let b(z) = z**2 - 5*z + 9. Let r be b(y). Sort -1.6, 2, 1\/4, r.\nAnswer: -1.6, 1\/4, 2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vzsf when four letters picked without replacement from {v: 7, f: 1, z: 3, s: 3, k: 2, u: 2}.\nAnswer: 7\/8160","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 9, k: 4, r: 4, c: 2}. What is prob of picking 3 t and 1 k?\nAnswer: 28\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-20)\/(-65) + 129\/(-39).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-8404*z - 101*z**2 + 8404*z)*(2 - 2 - 1) + (-3*z + 0*z + 2*z)*(-4*z - 11*z - 6*z) in the form w + l*z**2 + h*z and give l.\nAnswer: 122","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.399 + 0.199. Round f to 0 decimal places.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -2\/3, -235, 1, 8 in decreasing order.\nAnswer: 8, 1, -2\/3, -1, -235","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m = -9*m + 56 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -10752.71 and 0.2?\nAnswer: -2150.542","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 * -122.299.\nAnswer: 61.1495","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t - 61 = -70 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 89852 - 39825. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -28466 and -28466 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*k**3*p**4 + 11507*k**3*p**3 - 2*k**3*p + 7516*k*p**2 - 2*p**4 wrt p?\nAnswer: 48*k**3*p + 69042*k**3 - 48*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 38911 a multiple of 120?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is u in 3*u**5 + 156*u**4 + 195*u**3 - 5250*u**2 = 0?\nAnswer: -50, -7, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -12 + 34. Let w(i) = 2*i - 4. Let t be w(3). Let v = t + 8. What is the lowest common multiple of h and v?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:35 PM and 5:59 PM?\nAnswer: 204","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c**3 - 2*c**2 + c + 1. Let q be n(2). Suppose -9 = -h - q. Let w be (-10)\/(-15) + 20\/h. Solve -4*d - 4*r = 8, w*d - d = -5*r - 2 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1066*f**3*v**5 - 7*f**3*v - 6*f*v**5 - 660*v**2 wrt v.\nAnswer: -63960*f**3*v**2 - 360*f*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 6\/(378\/28 - 12). Solve l + 1 = 5*z - n*z, -3*l = -5*z + 9 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h = -11*b + 9, 4*b - 69*h + 73*h - 16 = 0 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3530.1082 rounded to zero decimal places?\nAnswer: 3530","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 11 = 81. What is the remainder when i is divided by 15?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(152)\/(sqrt(32)\/sqrt(4)) + sqrt(19) + (sqrt(2299) - (sqrt(2299)*2 - sqrt(2299))) + -4.\nAnswer: -4 + 2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 21*a**3 - 3*a**2 + a - 1. Let x be h(2). Suppose -5*n + x - 7 = 0. Let o be (64\/n + -2)*3. Is o < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 6*b + 6. Suppose -9*l - 3*j - 1 = -10*l, -5*l + 5*j - 25 = 0. Calculate s(l).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = v - 12, 48 = 4*v + m - 0*m. Let u = 6 - v. Let q be (-2)\/12 - 13\/u. Solve -12 = q*n + n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -121*p - 116 = -150*p. Solve h + k = p*h + 3, -5*k - 5 = -5*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p**3 - 22*p**2 + 61*p - 1547. Determine v(22).\nAnswer: -205","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g**3 - 2*g**2 - 2*g - 2. Give n(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 4104309 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*i - 133 = -112 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*j**4 - 3592*j**3 - 7196*j**2 - 3600*j.\nAnswer: 4*j*(j - 900)*(j + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 146 by 758.\nAnswer: 73\/379","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*p + 0 + 0)*(-3 + 3 - 3*p)*(3 + 3 + 2)*(-3 + 4 - 2)*(65 - 12*p - 65) as d*p**2 + o + g*p + b*p**3 and give b.\nAnswer: -576","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 37, 32, -21, -158, -415, -828?\nAnswer: -1433","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2 + 35. Suppose 0 = 3*j - 127 + s. Is j a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 - -6. Let g = -1 + 0.9. Which is the biggest value? (a) v (b) 1 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0\/((-2)\/((-8)\/12))*1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f**3 - f**2. Let n(h) = 2*h**3 + h**2 + 2*h. What is 3*i(a) - n(a)?\nAnswer: a**3 - 4*a**2 - 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15)\/(-6) + ((-78)\/(-12) - 4).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 610 minutes after 7:46 PM?\nAnswer: 5:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -2*g - 12. Let h be (3\/(-2))\/(1\/(-14)). Let o = h + -10. What is the lowest common multiple of j(-10) and o?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 17*p**2*w**3 + 16*p*w**3 - p*w**2 - 3*w**3 + 2*w - 1222 wrt p.\nAnswer: 34*p*w**3 + 16*w**3 - w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 27 (base 13) to base 10\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1896*m - 67830 - 2322 for m.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 31162?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the second derivative of -5*t**3\/6 + t**2 - t - 14. Determine y(1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*j**2\/15 + 47244*j\/5 + 836998326\/5 = 0. What is j?\nAnswer: -35433","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -2*d**3 - d**2 - 3*d - 1. Let a be f(-2). Suppose 0 = -5*g - 117 + a. Let p = g + 28. What is the units digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 88*l**2 - 79*l + 4. What is z(-2)?\nAnswer: 514","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-3\/8)*c*c*c**(-13))**37\/(c\/(c\/c**(-1\/4))*c**4\/c)**13 assuming c is positive.\nAnswer: c**(-3653\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1 - (-14)\/13)\/(6\/94). Let m = 20\/13 - n. Let k be 8*(-3)\/(-11) + -2. Which is the nearest to m? (a) -5\/2 (b) -3 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1257 - 969*z**2 + 1257 - 822*z**2.\nAnswer: -1791*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 1630*b + 1148. Calculate h(-2).\nAnswer: -2112","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -38*i**2. Suppose 5*l = -2*o + o + 20, -4*o = l - 4. Let z(a) = -5 + a**2 + l + 1. Give z(p(v)).\nAnswer: 1444*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b*b*b*b*b*(b*b\/(b\/b**34*b))\/b)*b*b*b*(b\/(b*b*b**(4\/7)))\/b*b*b\/(b\/(b*b**(-1\/12)\/b))*b**(16\/3))**29 assuming b is positive.\nAnswer: b**(-24621\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o**2 - 74*o + 542. Let s be p(66). Solve 82 = s*x + 124 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l**3 + 5*l**2 - 4*l + 2. Let b be z(2). Let u = 43 + -41. Suppose b - 90 = -u*y - 4*g, 3*g = -4*y + 148. List the prime factors of y.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(65) - (sqrt(65)*-3*-3 + sqrt(65))))\/(-6*(sqrt(5) - (sqrt(5) - sqrt(20)\/sqrt(4))) + sqrt(5) + (sqrt(5) - sqrt(50)\/(sqrt(20)\/sqrt(2)))).\nAnswer: -27*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 12\/42 - (-65)\/(-7). Let i be ((-3)\/u)\/(1\/15). Solve t + 4*f + i = 0, -2*t - f = 2 + 1 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (3 - -1) + 0 + 0. Let j(b) be the second derivative of b**3\/3 - 3*b**2 - 2*b. Give j(x).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 4. Let m(y) be the first derivative of -y**2\/2 + 5*y - 2. Suppose 3*x + 0 - 2 = 5*o, 3*o + 6 = 3*x. What is o*m(n) - 3*k(n)?\nAnswer: -2*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = -2 - 4. Let q be (2 + (-3 - s))*1. Solve -l - q = 3 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z + 24 = 5*x - 3*x, -56 = -x + 13*z for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -213268 by 37.\nAnswer: -5764","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.11 - -0.07. Let y = u - 0.03. Let l = 0.06 + y. Round l to 2 dps.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.3 - 0.2. Suppose -4*i = -3*i + 3*j + 9, -4*j - 12 = 3*i. What is the nearest to i in l, -2, 0.5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -50602053 divided by 3.\nAnswer: -16867351","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i\/(i*i*i\/((i*i**(5\/6))\/i)))**(7\/3)\/(i*((i**(-2\/71)*i)\/i*i*i*i*i)\/i*i**45) assuming i is positive.\nAnswer: i**(-63083\/1278)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 6 = 10. What is the tens digit of (-6)\/8 + (-182)\/n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 d and 1 e when four letters picked without replacement from edxtettdexvtdtrdtxev?\nAnswer: 16\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -174.9 - -251. What is l rounded to the nearest ten?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (285*n - 5 - 283*n - 11)*(-45 + 9*n**2 - 50 + 94) in the form o + y*n**3 + b*n + z*n**2 and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -537, -2140, -4803, -8526?\n\"Answer: -530*h**2 - 13*h + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f + 1. Let q(z) = 43*z - 6. Give -q(v) - 4*r(v).\nAnswer: -47*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -20*l**3\/7 - 282*l**2\/7 - 144*l - 14.\nAnswer: -2*(l + 7)**2*(10*l + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 706 and 321583.\nAnswer: 353","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10087976 divided by 2.\nAnswer: 5043988","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*o + 1 - 1)*(5*o**2 + 0*o**2 - 3*o**2)*(-1007*o**2 + 494*o**2 - 1220*o**2).\nAnswer: -10398*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 342632043 a multiple of 5753?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2130 + 112112022?\nAnswer: 112120212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 4, 2\/3, 7 in descending order.\nAnswer: 7, 4, 2\/3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -303 or -307?\nAnswer: -303","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -240 + 126 + 43 + -64.\nAnswer: -135","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1633342.18 + 991.\nAnswer: -1632351.18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1754*y**2 + 1264 with respect to y.\nAnswer: -3508*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2.047 - 1.147. Which is greater: y or -2\/361?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23 = 2*v + t, v + 4762 = t + 4739 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 4*u - 36. Let j = u - 2. Let x be (27\/(-6))\/((-3)\/48). What is the highest common divisor of x and j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 77 divide 2690149?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 7225, 14, 1160 in descending order.\nAnswer: 7225, 1160, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -5*l - 1. Let y(u) = u**2 - 7*u + 24. Let d be y(10). Suppose -4*i - 48 = -4*q, 6*q + d = -2*i + 2*q. Let z = i - -15. Calculate o(z).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3163508077 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 132202111111 (base 4) to base 2\nAnswer: 11110100010010101010101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*b**2 + 15*b**2 - 8*b**2 - 2*b + 28*b**2.\nAnswer: 50*b**2 - 2*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -20112022220010 + 10?\nAnswer: -20112022220000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-2\/9))**0\/(j*j**(-9)\/j*j*(j\/(j**7\/j*j)*j)\/j)*(j*j**(-3\/7)\/j*j**(-3\/5)\/j)\/(j**(-3)\/j*j\/(j*j**(1\/7))) assuming j is positive.\nAnswer: j**(564\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3381\/(-1035)*1170\/351.\nAnswer: -98\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5545303 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2, 1, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 34015901?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-72)\/96*24\/63.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s**3 + 4*s**2 + s. Let l(r) = 2*r**3 - 8*r**2 - 3*r. Let u(j) = 5*k(j) + 2*l(j). Let b be u(4). Let o(x) = x**2 + 4*x + 6. Determine o(b).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21991 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 3*g + 4. Let i(k) = -3*k - 4. Let w(m) = 6*i(m) + 5*l(m). Let b(x) = -x**2 + 4*x + 6. Let r be b(6). Let t be w(r). Solve -t = -5*n + 6 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 2*k + 3. Let t(c) = -3172*c - 128. Calculate t(w(p)).\nAnswer: -6344*p - 9644","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(2\/3)*b)**(-39)\/(b**0)**(2\/39) assuming b is positive.\nAnswer: b**(-65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3099154*j**4 + 3772466 with respect to j.\nAnswer: -12396616*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u**2 - u**2 + 3*u**2)*(-5*u + u**2 + 5*u) + (1 - 2 + 2 + (-1 + 0 + 3)*(-2 - 1 + 5) - 1 - 1 + 4)*(1 - 2*u**4 - 1).\nAnswer: -13*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -27\/16 and -11\/1096?\nAnswer: 2192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of -8.6926 and 0.038.\nAnswer: -0.3303188","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 434 - 66859063990\nAnswer: -66859063556","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -141*n - 170*n = -251*n + 1560 for n.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -13*w - 4. Let b(c) = 8*c + 11. Let y(q) = 7*q + 13. Let i(p) = -5*b(p) + 4*y(p). Calculate -4*i(o) + 3*s(o).\nAnswer: 9*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 68 + 10?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 3779498 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from moemooommemm. Give prob of sequence ooeo.\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (10 - (3 + 363))\/2. Is v at most as big as -179?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 2*b + 4 = 0. Suppose 0*o = 4*n + o - 19, 19 = 3*n - 4*o. Suppose -113 - 182 = -n*r. Calculate the lowest common multiple of r and b.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3757*d*t*x + 23*d*x**3 - 2*d*x - 14*t*x**3 - 5*x**3 - 7068*x**2 - 2*x wrt t?\nAnswer: 3757*d*x - 14*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - (3 - 6 - -3)) + -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 126 and 13536.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 57 or 184?\nAnswer: 57","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 288 = 125*w - 87 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 693 rounded to the nearest 100?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 54750601 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 5, i: 8}. Give prob of sequence di.\nAnswer: 10\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 20820499?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:58 PM and 10:39 PM?\nAnswer: 41","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 - -6)\/(286\/78).\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 107 minutes before 9:31 AM?\nAnswer: 7:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1 + -1 - -1*115. Let m = -38 + w. Let k = 182 + m. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -11? (a) -17 (b) 3 (c) 1 (d) -19\/111\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4 - -24?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 14 - 4c?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 11*j**2 - j - 1. What are the prime factors of u(-1)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-7014)\/(-30) - (-1*(-4)\/10)\/(-2). Calculate the highest common divisor of 27 and c.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - 131) + 27 + (1 - -15) + 1153 + -1191.\nAnswer: -127","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 5\/8 of a kilometer?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 + 1 = 3*r. Let n = r + 4. Suppose -n*g = 5*m - 5, 4*g + 0*m - 2*m - 22 = 0. Is g a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -783868 + 2?\nAnswer: -783866","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 6559931 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 94*i + 45*i + 233*i - 10416 for i.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -4328.98 rounded to the nearest 1000?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -3651, 4, 0.3 in descending order.\nAnswer: 4, 3, 0.3, -3651","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 122 - 105. Suppose 0 = g*s - 2828 + 1094. What is the units digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*k + 10*k = -24 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 1939, 5, -1 in ascending order.\nAnswer: -1, 0, 5, 1939","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 638054.6 decades in years?\nAnswer: 6380546","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 27*p + 202. Let a be l(-6). Suppose -a = -2*w + 3*k, 5*k - 8 = 5*w - 108. Calculate the lowest common multiple of 75 and w.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the first derivative of -6*i**5\/5 - 23*i**3\/3 - 30. What is the third derivative of c(f) wrt f?\nAnswer: -144*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 326, 325, 326, 329?\n\"Answer: z**2 - 4*z + 329","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -7*i + 1362. What is n(-4)?\nAnswer: 1390","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*4*-1*(sqrt(429)\/(sqrt(99)\/(2*sqrt(9))))\/(sqrt(363)*-1*-1).\nAnswer: 48*sqrt(13)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 236, -6, 4 in increasing order.\nAnswer: -6, 4, 236","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3219, -3225, -3235, -3249?\nAnswer: -3267","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-1376)\/(-43))\/(-32))\/((-3)\/(-3))*61.\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 137 minutes before 4:27 PM?\nAnswer: 2:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 22 (base 12) to base 3\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000003249225 to 7 decimal places.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 9 - 10. Let o be (18\/15)\/((-33)\/(-10)). Are a and o nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2809*h + 57 + 66 + 63 - 2*h**3 - 261 + 73 to p + i*h + z*h**3 + s*h**2 and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-2\/3)*x*x*x*x**(-1\/10))\/((x**(1\/2)\/x)\/x**(-2\/19))*(x**(-1\/6)\/x**(2\/25))\/(((((x\/(x\/(x*(x\/(x*x**2))\/x))*x)\/x)\/x)\/x)\/x**(-4)) assuming x is positive.\nAnswer: x**(6787\/2850)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + (1*(-15)\/1)\/(-3).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/(-3)*(-108)\/8. Let q = 10 - u. Solve p + q = -2*y + 4, -4*y - 3*p + 3 = 0 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from utcmgma. What is prob of picking 1 a and 1 u?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1694, 1543, 1392, 1241, 1090, 939?\nAnswer: 788","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000008706 rounded to six decimal places?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l**3 - 132*l**2 - 262*l - 1354. Calculate d(134).\nAnswer: -550","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -16 + 18. Let n = -24 - -41. Let z be (-11814)\/1969 + ((-18)\/(-2) - 1). Solve -5*h - 25 = -5*i, 5*i - z*h - k - n = 0 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 23\/(-1) - 0 - 2. Let y be (o\/15)\/(3\/9). List the prime factors of -178*3\/30*y.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-152)\/6)\/(332\/83).\nAnswer: -19\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 54 + -40. What is the least common multiple of 14 and u?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 19*s**5 + 655*s**3 - s - 154?\nAnswer: 380*s**3 + 3930*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/(-2) - 140\/8. Let x = -11.69 - -12.09. Which is the closest to -2\/9? (a) m (b) x (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*c**2 + 16*c**2 + 11 - 8)*(2*c**2 + 3*c**2 + 7*c**2).\nAnswer: 96*c**4 + 36*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.4? (a) 11 (b) 2\/19 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 10300466 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y**3\/2 - 131*y**2\/2 + 269*y\/2 + 399\/2 = 0.\nAnswer: -133, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 116 + -114. Suppose 7 + 5 = v*q. What is the highest common divisor of 102 and q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 23100 to the nearest one thousand.\nAnswer: 23000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 5601 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: Express (0 - 1 + 3)*(16*k**2 - 8*k**2 + 11*k**2 + (0*k + 2*k + k)*(8 - 8 + k)) in the form o + m*k + n*k**2 and give n.\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2042410030 - 3?\nAnswer: -2042410033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 3, u: 1, h: 3, y: 3}. What is prob of sequence yeuh?\nAnswer: 3\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**2\/3 - 736*g - 8928.\nAnswer: 2*(g - 1116)*(g + 12)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 13431 + 323?\nAnswer: 14304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by -34.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 3, p: 1, g: 16}. Give prob of sequence fpfg.\nAnswer: 4\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 191.917 + -192. Let p = l - -0.08363. Round p to 4 decimal places.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f**3 + 18*f**2 + f + 59013. List the prime factors of d(0).\nAnswer: 3, 79, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4789757051 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -4*g**3 - 8*g**2 - 13*g + 8. Let f(b) = 14 - 13 + 0*b - b**2 - b - b**3. Let k(u) = 3*c(u) - 24*f(u). Find the second derivative of k(q) wrt q.\nAnswer: 72*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 75 - 79. Sort d, -5, -16 in descending order.\nAnswer: d, -5, -16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*h + 6*h. Let a(g) be the first derivative of 1\/5*g**5 + h*g**4 + 2*g + 0*g**3 + 0*g**2 + 1. Find the first derivative of a(i) wrt i.\nAnswer: 4*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 6 = 4*c. Suppose 7 = 3*q - 2*q. Factor 4 - 5*v**c - q*v**3 + 2*v - 4.\nAnswer: -v*(v + 1)*(7*v - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 100 a factor of 74235871?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-72)\/432)\/((-10)\/4). Let z(w) be the third derivative of -1\/2*w**3 - k*w**6 + 0 + 7*w**2 + 0*w**4 + 0*w + 0*w**5. Differentiate z(g) wrt g.\nAnswer: -24*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = v + 12 + 10, -5*r = -4*v - 115. Suppose -5*f - 5*w = -75, r - 132 = -4*f + 5*w. What is the highest common factor of f and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -719097 - 988903. Round n to the nearest one hundred thousand.\nAnswer: -1700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the third derivative of 0*z**4 + 0*z**3 + 2*z + 9*z**2 + 1\/60*z**6 - 1\/5*z**5 + 0. Factor r(j).\nAnswer: 2*j**2*(j - 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 34 * -8\nAnswer: -272","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -53 - -103. Let u = -48 + l. Suppose -3*c - u*s = -7*c + 132, -77 = -3*c - 4*s. List the prime factors of c.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -31 (b) -0.1 (c) 0.0441 (d) 2\/39 (e) -1 (f) 1\/4 (g) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 divided by -5?\nAnswer: -101\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 4*s + 7. Let y be q(12). Let d be (-1)\/1 + y\/(-5). List the prime factors of (14\/6)\/((-1)\/d).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1172745881 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 times -490?\nAnswer: 6370","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 293 + -542. Let y = o + 203. What is the third biggest value in y, -3, 0.2?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -31 - -28.4. Let l = k - -18.6. Let c = -14 + l. What is the biggest value in 3\/7, 1, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*c**3 - 6*c**3 - 817 + 815.\nAnswer: 21*c**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Add -313 and -1415.\nAnswer: -1728","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -7, -2, -0.2, -4, -33, 2\/13 in ascending order.\nAnswer: -33, -7, -4, -2, -0.2, 2\/13, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*s + 16718*s**3 + 3610*s**3 - 5*s + s.\nAnswer: 20328*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5 - 1. Suppose 0 = -2*x - 5*l - 7, 6*l - h*l = x - 10. Calculate the greatest common divisor of 16 and x.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0 + 1 + -3 + 3. Let d be 1 - (-1 + (w - 0)). Suppose -4*j = -9*z + 4*z + 14, -j - 3 = -z. Sort 0, z, d in descending order.\nAnswer: z, d, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -317, -509, -689, -851, -989, -1097, -1169, -1199?\n\"Answer: n**3 - 199*n - 119","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 9 = -24. Let g(k) = -2*k - 2. Let w(u) = -5*u - 11. Let d(y) = -2*y + 2*y - 12 - 5*y. Let j(o) = 6*d(o) - 7*w(o). Calculate n*j(l) - 7*g(l).\nAnswer: -l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*g**2 - 85063818*g + 602987761061427 = 0. Calculate g.\nAnswer: 14177303","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 210737 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y**3 - 26*y**2 - 2*y + 69. Let p be b(26). Suppose -2*r = -2, -2*r - 1 = x - 6. Let -6*g**2 + p*g + 7*g**4 - 17*g - 4*g**4 - 3*g**x = 0. Calculate g.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2266 is divided by 184?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.28 * -311.\nAnswer: 398.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + x + 2)*(1 - 7 + 2)*(2*x - 5*x + 17*x).\nAnswer: -56*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 8131589 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 37601.2576 rounded to the nearest 10?\nAnswer: 37600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -12 or -8?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*i + 4*i + 16. Let b be (i\/20)\/((-4)\/10). Which is bigger: b or -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, -3, -2, -84, -1\/42 in decreasing order.\nAnswer: -1\/42, -0.5, -2, -3, -84","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f = 2*o - 10, -5*o + 46874 = -75*f + 46849 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*t**3 + 148*t**2 - 540*t + 396.\nAnswer: -4*(t - 33)*(t - 3)*(t - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -526*-128085\nAnswer: 67372710","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = a**3 + 23*a**2 - 4*a - 3. Is x(-20) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:07 PM and 8:18 PM?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 24 = -3*l, 6*s - 2*s = -12. List the prime factors of (-104)\/(-18) - l\/(-27).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -29.5 - -29.49999957. What is n rounded to 7 dps?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 3*w**2 - 2*w + 2. Let b = 5 - 9. Let r(n) = -4 + 0*n + 2 - 4*n**2 + 3*n. Give b*r(c) - 5*h(c).\nAnswer: c**2 - 2*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u**3 + 5*u**2 - 14*u - 48. Let l be t(-6). Let k = 87\/8 + -43\/4. Sort k, 4\/7, l.\nAnswer: l, k, 4\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 94 + 136. What are the prime factors of s?\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/(-2))\/(315\/(-28)).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 13*u - 127 - 119 - 110 + 456. Calculate r(-7).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (80\/(-35))\/((-2)\/7). Suppose 0 = 2*j - 4*j + 4. Let r be 2*12\/8 - 3. Solve 0*i + 2 = i - j*d, -4*d - q = r for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -12*t - 281. Let p(d) = 14*d + 275. Calculate 3*m(a) + 2*p(a).\nAnswer: -8*a - 293","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-18 - 13 - -12) + 17\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -28\/787 or 0?\nAnswer: -28\/787","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that 2*r**2\/7 + 2110*r\/7 - 8472\/7 = 0.\nAnswer: -1059, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -8*t + 1. Suppose a + 10 = -5*c, 5*a - 4*c - c - 10 = 0. Suppose -5*k - 1 = 3*j + 6, a = -2*j - 8. Calculate f(k).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -101\/50 and -39\/3119365?\nAnswer: 31193650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -123 = -3*u + 14*d - 11*d, 2*d = 2. Let g = u + -19. Calculate the greatest common divisor of g and 46.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*w**2 + 3*w**2 - 18*w**2 + (197*w + 221*w - 287*w)*(-w + 0*w + 0*w).\nAnswer: -142*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1\/2)\/((-30)\/140). Let z = q - -3. Which is the nearest to z? (a) 0.4 (b) 0.2 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the second derivative of -f**2 + 57*f + 7\/6*f**3 - 8\/5*f**5 + 0*f**4 - 2. What is the second derivative of g(r) wrt r?\nAnswer: -192*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*(x**(-2\/65)*x)\/x*x)**36*(x\/((x*x\/(x\/(x\/x**10)))\/x))**(9\/4) assuming x is positive.\nAnswer: x**(12141\/130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*d + 51, -6*m = d + 4*d - 22 - 63 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by 286229?\nAnswer: 5\/286229","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -448*j**2 - 2*j + 2*j.\nAnswer: -448*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*z - 2 - 4*z - 2*z)*(-4 - 9 + 9) to o + b*z and give o.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7 - -13. Let v(f) = u*f + 10*f**2 - 6*f. Let a(i) = i. Give v(a(c)).\nAnswer: 10*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4404 - 12472 = 315*r + 14965 + 4069 for r.\nAnswer: -114","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/(-7) - 132\/(-28). Let r(g) = -s*g**2 + g + 0*g + 6*g - 3*g. Let f(l) = 4*l**2 - 3*l. Suppose 3*o + 5 - 14 = 0. Calculate o*r(t) + 4*f(t).\nAnswer: t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3 + 3 + 1*2?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -115, 2, -8\/3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 499 - 274. Let z = 30947182927 - 30947182702.00000221. Let p = z - a. What is p rounded to seven dps?\nAnswer: -0.0000022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 - (-10 + 18)) + 0 - -30.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65*d**3 - 61510*d**2 - 478260*d + 1202040 = 0. What is d?\nAnswer: -126\/13, 2, 954","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -105 + 105. Which is the closest to 0? (a) 4\/5 (b) y (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3472 and 16463356?\nAnswer: 65853424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -210, -230, -296, -432, -662?\nAnswer: -1010","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -93876792, -187753587, -281630382?\n\"Answer: -93876795*s + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = -4*s - 2. Let z = s - 1. Suppose -4*o = o + 15, -5*r - 32 = 4*o. Which is smaller: r or z?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 3*h. What is the least common multiple of b(4) and 210\/(-63)*(-24)\/5?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**3\/7 - 6*i**2\/7 + 64*i\/7 - 96\/7.\nAnswer: -(i - 4)*(i - 2)*(i + 12)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 6 - -31a9?\nAnswer: 31af","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -181a219 (base 11) to base 15.\nAnswer: -41003c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:38 PM and 6:33 AM?\nAnswer: 595","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1 (b) -0.2 (c) -1 (d) 585 (e) 0.22\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 298 minutes before 3:57 AM?\nAnswer: 10:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6751948*0.5.\nAnswer: 3375974","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 5*p + 533 = 0, 0*p + 2*p + 280 = 2*t. Is t a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l when two letters picked without replacement from pggggpglglpp.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9\/(-18))\/(3\/(-24)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10\/(-40)*2)\/(5\/(-8))?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2.77 + 2.57. Sort -5, s, -52, -1 in decreasing order.\nAnswer: s, -1, -5, -52","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 7895 = -3*g - 0*r, 7893 = 3*g + 3*r. Round g to the nearest 1000.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-38)\/(-14) + (-4)\/(-14). Suppose -6 = -3*v + z. Find the first derivative of -x**3 + 4*x**3 + 15*x**v + 9 - 7*x**3 wrt x.\nAnswer: 33*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7720919 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Are 32 and 6 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 355852585?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c when two letters picked without replacement from ccii?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -25.3 + 25. Let s be 50*(39\/(-15) + 3). Let y be (15\/10)\/(6\/s). Which is the second biggest value? (a) u (b) y (c) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 9, -3, -25, -57, -99, -151, -213?\n\"Answer: -5*s**2 + 3*s + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:16 PM and 4:58 AM?\nAnswer: 702","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -43*a**2 + 5*a - 28. Let z(n) = -43*n**2 + 4*n - 24. What is 6*q(v) - 7*z(v)?\nAnswer: 43*v**2 + 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.21538 and -0.1?\nAnswer: 0.31538","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Add -10.45 and -938.63947.\nAnswer: -949.08947","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -2*g. Let m(c) = 3*c - 30539. Calculate h(m(u)).\nAnswer: -6*u + 61078","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -7*o - 2. Let w(y) = -13088*y + 1. Give c(w(p)).\nAnswer: 91616*p - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 - 11 = -4*g. Suppose -m - 1 = -3*x, -2*x + 7 = 2*m + x. Suppose -m*q - 4 + 10 = 0. Solve -4*d - q*n - 10 = 22, 0 = g*d - 5*n for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yyylly. What is prob of sequence yly?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1020 and 2380.\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-18)\/27)\/(2\/(-6))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-36)\/30*(-20)\/(-3). Let l = -5 - c. Solve 8 = 4*a + 4*b, -2*a = l*a + 3*b - 10 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:28 AM and 10:53 AM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -15.2 (b) 284 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 1638 - 5713 = 0. Let z = -11275 + f. What is z rounded to the nearest one thousand?\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b**2 - 53 + 119 - 2*b**3 - 2*b + 3*b + 251. What is the hundreds digit of d(0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5, 26, 63, 122, 209, 330?\nAnswer: 491","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w**3 + 14*w**2 + 32*w + 69. Determine q(16).\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 54 and 459.\nAnswer: 918","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -2*g**3 + 686*g**2 - 4098*g + 325. Give u(6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 6 = 0, 3 = 5*r - 2*f + 9. What is the second smallest value in 3\/7, r, 1, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 + (10 - 10) - 12?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are 155 and 18115\/117 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8 - 6. Let w be (9 + 9\/(-3))\/k. Suppose 4*a + w*h = -0*h + 19, 2*a = 3*h + 5. Solve 5*i - a*i = 3 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -9 + 12. Let v be 8 - (2 + -2 + u). Suppose 0 = v*h - 30 - 125. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 31*a**2. Let x(q) be the first derivative of 2\/3*q**3 + 0*q + 0*q**2 - 4. Calculate x(k(b)).\nAnswer: 1922*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 13156 and 45267404?\nAnswer: 497941444","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 146255 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 3351 to the power of 1\/3, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(63)\/(sqrt(63)\/sqrt(7)*-3) - (((sqrt(168)\/sqrt(3))\/sqrt(8))**2 + 5).\nAnswer: -12 - sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = 33 - 24. Let h = 2 - -2. Suppose 3*s = h*j - d*j - 101, -5*j = -2*s - 570. Is j a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -197150, -197293, -197436, -197579, -197722?\n\"Answer: -143*c - 197007","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1147, 1155, 1163, 1171?\nAnswer: 1179","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -215011 * 3\nAnswer: -645033","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -1162950 > -1162952?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1082, -2055, -3030, -4007, -4986, -5967?\nAnswer: -6950","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 106 + -102. Let z be ((-942)\/k)\/((-6)\/8). Let f = z - 182. What is the tens digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 6, n: 1, q: 2, t: 4, o: 1, r: 1}. What is prob of sequence jo?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.26093951 minus -13?\nAnswer: 12.73906049","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h, 1 c, and 1 i when three letters picked without replacement from hqnicqv.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12365600.\nAnswer: 2, 5, 13, 29, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 119\/29179152 and 25\/233968.\nAnswer: 204254064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 677 minutes after 8:33 AM?\nAnswer: 7:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -143*n - 792. Let x(w) = 48*w + 264. Let t(q) = -2*u(q) - 7*x(q). Differentiate t(a) wrt a.\nAnswer: -50","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44 = -b + 4*k, -2*k + 5*k - 220 = -5*b. Suppose -5*h - 45 = 2*s, -55 = 2*s - 0*s + 3*h. Let l = b + s. What is the remainder when 16 is divided by l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 9*n - 53. Let p be s(6). Let u be 5*p - (5 - -2 - 8). Solve -u*g + 2 = -8*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 21 + 13. List the prime factors of u.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q*q**(-1\/4))*q**(-2\/35)\/q)\/((q**(1\/19)*q)\/(q**(-21)*q)) assuming q is positive.\nAnswer: q**(-58147\/2660)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -4*j**2 + 2*j - 2. Let s(b) = 5*b**2 - 3*b + 3. What is -4*c(l) - 3*s(l)?\nAnswer: l**2 + l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -10 + 30. What is the greatest common divisor of 30 and b?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19220648 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.1 and 30.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2994522671?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 10 = 5*y, 4*y + w - 5*w = -24. Let b be (-2)\/4*(y + 4). Solve -4*p + l - 7 = 0, l = -3*p - b*p - 14 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v**3 - 11*v**2 - 16*v + 6. Suppose 3*u + 35 = 4*q, 10*q = -3*u + 9*q - 25. Determine h(u).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4\/120)\/(3\/(-9))*14\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 159117243 at most 159117246?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 6*f**2 - 3 - 9*f - 4*f**2 + f**3 - f**2 + 6*f**2. Give w(-8).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -a**3 - a**2 - 2*a + 263. Let v(w) = w**3 - 6*w**2 + 8*w - 3. Let s be v(3). Let c be 0\/(3 + s - -5). What are the prime factors of l(c)?\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1, -16, -47, -100, -181?\n\"Answer: -b**3 - 2*b**2 - 2*b + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.337851868 rounded to one decimal place?\nAnswer: -1.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3795 and 483.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does -533\/6 = -0.132?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5281422 and 7922133?\nAnswer: 15844266","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z\/z**(12\/11))\/(z*z*z*z**(-18)) assuming z is positive.\nAnswer: z**(175\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - (-11)\/28)\/((-20736)\/(-24192))\nAnswer: -15\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kkvv when four letters picked without replacement from vkvkvvvv?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 139 - 4*m - 4*m + 4*m + 9 + 8*m + 271.\nAnswer: 4*m + 419","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -r**2. Let f(d) = -4*d**2. Let s(n) = -n**2. Suppose -h + 8 = h. Let q(t) = h*s(t) + 4*f(t). Calculate o(q(g)).\nAnswer: -400*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -171*f**3 - 75*f**3 + 22*f**3 - 24 + 228*f**2 - 24*f**2 + 44*f.\nAnswer: -4*(f - 1)*(7*f - 2)*(8*f + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 674102 and 50908.\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*p = -5*c - 9*p + 19, 3*c = 5*p + 29 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/14*(-1)\/(-4)*(3200\/75)\/32?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 83\/(-166)*-2*(-3)\/(-3). Which is greater: 3\/5519 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -32993249*w**2 - 19*w - 917846 wrt w.\nAnswer: -65986498","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -l**3 - 2 + 2 + (l + 0*l + 0*l)*(l**2 - 4*l**2 + l**2) - 21*l**3 - 26*l**3 + 8*l**3 to v + j*l + n*l**2 + i*l**3 and give i.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((sqrt(26)\/sqrt(2))**2 + -1 + -4 - (4 + sqrt(26)\/sqrt(2) + 1)).\nAnswer: -3 + sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 46394361 divided by 13\nAnswer: 3568797","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -9*s**2 - 2*s - 44. Let h(f) = 6*f**2 + f + 22. Let w(u) = -13*h(u) - 6*i(u). Find the second derivative of w(c) wrt c.\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2.9, 8, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 2*c - 12. Let n be x(6). Suppose -3*d = -2*h - 12, n = 3*d + h + h. Calculate the highest common factor of d and 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 189160689?\nAnswer: 3, 89, 227, 3121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 37117 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1526869?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 4*s - s + 11 = 0, 0 = 5*f - 2*s - 33. Suppose 3*a - 2 = 4*g, f*a + g + 5 = 10*a. Solve -l + 10 = a*l + 4*i, -4*l + i - 12 = 0 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -n - 10. Let p be c(-14). What is the remainder when 5 is divided by ((-6)\/p)\/(((-21)\/(-14))\/(-3))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 6*z**2. Let p(q) be the second derivative of -6 + 0*q**2 - 8\/3*q**4 + 0*q**3 + 6*q. Determine p(d(x)).\nAnswer: -1152*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the first derivative of 20*n**3\/27 + 7*n**2\/9 - 2*n\/3 - 199. Factor v(u).\nAnswer: 2*(u + 1)*(10*u - 3)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1004*n - 64751 + 64751)*(-2*n - 4*n - 2*n) to the form v + z*n**2 + b*n and give z.\nAnswer: 8032","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 78566367 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x**2 + 6*x + 4. Let q be ((-10)\/3)\/(10\/(-15)). Suppose -2*m - q*y - 1 - 9 = 0, 4*y + 6 = -2*m. Calculate the remainder when 21 is divided by j(m).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 2*n**2 - 7*n - 19. Let m be p(-7). Let q = -126 + m. Solve 2*r = j + 2, 6 = 3*r + 2*r - q*j for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -53\/18 and (-1)\/(-36)*(-5 + (-963)\/(-33)).\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1225, 2468, 3715, 4966, 6221, 7480, 8743?\nAnswer: 10010","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -2*n + 3*n - 2*n + 0*n. Determine f(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that -3*a**4\/4 - 4911*a**3 + 488481*a**2 = 0.\nAnswer: -6646, 0, 98","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the second derivative of -939*t**7\/14 + 2*t**3\/3 - 379*t**2\/2 - 2323*t. Find the second derivative of s(x) wrt x.\nAnswer: -56340*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 542856697 to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = 2*q - 2*t, 2*t - 3 = -2*q + 5 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*q**3*x**3 + 2*q**3*x + q**3 - 2*q*x**2 + 11*x**3 wrt x.\nAnswer: -18*q**3 + 66","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -72 divided by -32?\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k**3 - 9*k**2 + 8*k - 18. Let j be g(-10). Sort 4, j, -50.\nAnswer: -50, j, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -89108752*b + 8045601 wrt b?\nAnswer: -89108752","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4777 is divided by 239.\nAnswer: 236","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z**2 - 9*z - 8. Let o be j(-8). Let s = -1 - -5. Let h = s - o. Solve 0*d - h*i - 13 = d, 10 = -d - 3*i for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*h - 3*h + h - 3*h + 4*h - 2*h + (0*h + h + 0*h)*(-2 + 0 + 0) + 0 - 2*h + 0 - 2*h + 2 - 2 + 4 - 4 - 30*h - 2*h + 9*h - 24*h.\nAnswer: -53*h","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Is 2899 - 0 - (0 + 6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = 4*n + 3*t, -5*t - 27 = -4*n. Suppose n*c = w - 0*w + 82, 2*w = -2. What is the units digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((1 + sqrt(891) + 3)**2 - (sqrt(891)*-4 - sqrt(891))*1)*6 + 0.\nAnswer: 702*sqrt(11) + 5444","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 67*i**2 + 176 + 174 - 519 + 171 in the form c + s*i + a*i**2 and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -378, -1561, -3526, -6267, -9778, -14053?\nAnswer: -19086","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -3\/225481?\nAnswer: -3\/225481","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the first derivative of u**6\/2340 + 7*u**5\/195 + 49*u**4\/39 - 23*u**3\/3 + 42. Let p(r) be the third derivative of c(r). Suppose p(n) = 0. What is n?\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 131154 to the power of 1\/3, to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h - 2*a + 6 = -4*a, a + 3 = 0 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 + (-4336)\/(-432) + 0 + 2821\/(-351).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -699\/8? (a) 4 (b) 2\/7 (c) -4 (d) 1 (e) 16\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1197167, -1197169, -1197171, -1197173, -1197175?\n\"Answer: -2*b - 1197165","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*d - 3*d - 3 = 0. Let h be d*(1 - 2)*3. Suppose -a - a = -2. Sort a, -4, h in decreasing order.\nAnswer: a, h, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -3*w. Suppose 0 = 4*m + 2*n + 6, 5*m - m = 5*n - 13. What is p(m)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 319913 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l**3 - 14*l**2 + 29*l - 30. Let i be b(-16). Solve -2*p + i = 8 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-198)\/(-8))\/1 - 2 - (-3)\/12. Solve -1 - i = 6*a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -3*q**3 + 2*q**2 + 4*q + 13. What is r(-4)?\nAnswer: 221","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 10 + -8. Suppose -w = -5*v + 8. Which is the closest to 2? (a) 3 (b) v (c) 4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 111836 and 185?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u**2 - 11*u - 23. Give q(-9).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-66096)\/208624 + (135\/(-39))\/(-9)?\nAnswer: 4\/59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 10*w**3 + 1091*w**2 + 105*w - 460. Determine i(-109).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 205707 + 2?\nAnswer: 205710","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 6053224?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -106 (base 7) in base 10?\nAnswer: -55","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*c**2*n*z - 7993*c**2*n + 2*c**2*z**2 + 29*c*n*z**2 - c*z**2 - 9*n*z**2 + 3*n wrt c.\nAnswer: -4*n*z - 15986*n + 4*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 5*b + 57 = -20, -4*b + 209 = 3*o. What is the units digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 50103 in -4, 3, -2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 254059.\nAnswer: 13, 19543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - j**4 - 1 + 2*j**2 + 2*j**4 - 41205*j + 41216*j as s*j**2 + p*j + k*j**3 + w*j**4 + h and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v, 1 d, and 1 u when three letters picked without replacement from {c: 1, d: 1, u: 2, v: 4, l: 2, z: 2}.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*v**3 + 68*v**3 - 32*v**3)*(-1 + 1 - 2 + (0 + 2 - 1)*(-2 + 0 + 3))*(2 - 2 + 4).\nAnswer: -152*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 23*y - 1763 + 1487 for y.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = 5*u + 8. Let d be 3\/(3*u\/279). Let b = -595 + 657. Calculate the highest common factor of b and d.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the third derivative of s**7\/315 - 7*s**6\/54 + 76*s**5\/135 - 53*s**4\/54 + 7*s**3\/9 - 122*s**2. Solve o(x) = 0 for x.\nAnswer: 1\/3, 1, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -17*y**2 + y - 1. Let m be 16\/24*(-6)\/(-4). Determine g(m).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = 21*u + 13*u - 545792. What is the units digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 55, 54, 53?\n\"Answer: -f + 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 49 - 47. Suppose -2*d + j*x = -10, 2*d - 4*x - 4 = 4. Suppose 4*t - 4*n = 304, t - d*t - 2*n + 415 = 0. What are the prime factors of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00004412 to five dps.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 129? (a) 3 (b) -11 (c) -2\/3 (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 4*m**3 + 7*m**2 + 8*m + 1. Let r(q) = q**3 + 2*q**2 + 1. Let l(h) = 5*r(h) - w(h). Determine l(-5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 m when two letters picked without replacement from myzbybyzmmzvv?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 44221?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.22937973 to 4 decimal places.\nAnswer: 2.2294","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = -f, 2*y + 3*f = 2*f. Let d = 3 + -2.8. Which is the smallest value? (a) d (b) y (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 54\/2295*187*10\/2?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -41 - -1. Let w = -66 - t. Let j = -25 - w. Which is smaller: j or 2.1?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 9\/(-3) - (-10 - -1). Solve n*r - 3*r - 3 = 0 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.55591 millennia in decades?\nAnswer: 755.591","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 83 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4\/(-7)*(4 - 11). Suppose 5*t + 0 = -5, 3*q - g*t = 13. Solve 2*x = -q*x - 10 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 3*u**2 + u - 2. Let n(d) = -2*d**2 - 17*d + 6. Let q(b) = -c(b) - n(b). Give q(8).\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1846 - 1846 - 372*l as v*l + h and give v.\nAnswer: -372","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.4 plus -0.05268?\nAnswer: -7.45268","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 27177561 to the nearest integer?\nAnswer: 301","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*u**4 + 3*u**4 - 2*u**4 + 0*u - 2*u**4 + 0*u + (-1 - 2*u**2 + 1)*(3*u**2 - 3*u**2 + u**2).\nAnswer: -6*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3643.929 centimeters to meters.\nAnswer: 36.43929","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = 9*x - 16. Let z(o) = -9*o + 4*o**3 - 8*o**x + 0*o**3 - 3*o**3 + 18 + 7*o. Let j be z(8). Solve -p + 1 = -j*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -29 + 29. Suppose -2*n = 5*c - 6, w*c - 12 = -5*c - 4*n. Let m(k) = 1 + c*k**3 - k - 5 - 2 - k**3. Determine m(0).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 2, q: 4, y: 2}. Give prob of sequence qy.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sum -461469.3967 and -2.\nAnswer: -461471.3967","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + g = -6, 3*w = 4*g - 3 - 7. Find a, given that -2 - 5*a + w + a**2 + 2 + 2*a**2 = 0.\nAnswer: 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 2 b when three letters picked without replacement from {j: 3, a: 3, b: 2, n: 3, m: 3, g: 3}?\nAnswer: 3\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -31 + ((-340)\/(-40) - -17)?\nAnswer: -11\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12441 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(84\/(-7)))\/(4\/3)?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the third derivative of -5\/3*o**3 + 0*o + 0 + 2*o**2 - 1\/24*o**4. Give i(-7).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3 + 5 - 4)*(2 + 5 - 5) + 31 + 21 - 7 + (-2 - 2 + 6)*(-3 + 3 - 1))*(-3*i + 4*i + 2*i).\nAnswer: 117*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -57*-1681\nAnswer: 95817","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -2855, -8820, -18753, -32648, -50499?\n\"Answer: x**3 - 1990*x**2 - 2*x - 864","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 112266852 and 64168?\nAnswer: 2918938152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u**3 - 37*u**2 - 117*u + 13. What is the tens digit of x(-34)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*-2*sqrt(1584) + 1*sqrt(1584) + 2 - (-1*sqrt(495) - sqrt(495))\/(sqrt(40)\/(3*sqrt(8))).\nAnswer: -18*sqrt(11) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -36, -44, -52, -60?\n\"Answer: -8*a - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that -2*z**2\/13 + 22*z\/13 + 160\/13 = 0.\nAnswer: -5, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4818433*i = -4818457*i + 240 for i.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 74029\/24 + -17321\/3. Let r = -2696 - g. Calculate the common denominator of 27\/32 and r.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1924?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/8, -1\/2, 0, 2\/17, 1.39.\nAnswer: -1\/2, -1\/8, 0, 2\/17, 1.39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qaiqyiyqaiyyiiayiiii. What is prob of picking 1 a, 1 i, 1 y, and 1 q?\nAnswer: 27\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 469050359?\nAnswer: 19, 4241, 5821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence idye when four letters picked without replacement from {i: 4, y: 4, e: 2, d: 9}.\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 9 and 60.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 52 - 111. Let r = q - -73. Calculate the greatest common factor of r and 154.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in seven quarters of a meter?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 360980?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 7952\/70 - 6\/10. Let w = y - 109. Suppose x = -7 + 4, -12 = -3*c - w*x. Solve -s - c = -2*z, 3*s - 2*s + 4 = z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 3196328.38231 and -3.\nAnswer: 3196325.38231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 15632477?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 478*q + 1937. Calculate g(-4).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-95)\/(-4) - 3\/(-12). Suppose 0 = 3*f - 6*f + d. Is 4 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.3 (b) 4 (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*f**4 + 7 + f + 4*f**3 - 5 - 6*f**3 + 0 to the form m*f**2 + x*f + k*f**3 + z + a*f**4 and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6 + -4. Suppose -72 = -4*n - 3*o, n + u*o - 6 - 12 = 0. Calculate the smallest common multiple of 18 and (-1)\/((-5 + 2)\/n).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -12 + 15. Suppose h - 15 + 3 = -5*p, p + 100 = n*h. Is 11 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 792 is divided by 109.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 111*l**3*o**2 - 12*l**3 - 2*l**2*o - l*o**2 + 5*l*o wrt o?\nAnswer: 222*l**3 - 2*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -18*s - 47. What is the units digit of f(-7)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) 1 (b) -1070 (c) -2 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -61 - -61. Let z(j) be the second derivative of 1\/3*j**3 + 1\/6*j**4 + 4*j + 0 - 1\/10*j**5 + f*j**2 - 1\/15*j**6. Factor z(v).\nAnswer: -2*v*(v - 1)*(v + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the first derivative of 0*r**2 - 97\/3*r**3 + 3\/5*r**5 + 0*r - 5*r**4 - 30. What is the third derivative of t(p) wrt p?\nAnswer: 72*p - 120","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-10)\/12*(-12)\/80. Which is the second smallest value? (a) m (b) 0 (c) 0.5 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 10? (a) 357 (b) -4 (c) -23 (d) -3 (e) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -3255600 (base 8) to base 7\nAnswer: -10304110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4\/3, 364, 5\/81?\nAnswer: 5\/81","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 1132*l**2 + 3*l + 150. Let i(n) = -2264*n**2 - 7*n - 301. Let m(a) = -7*b(a) - 3*i(a). Differentiate m(u) wrt u.\nAnswer: -2264*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 46a5 (base 12) in base 4?\nAnswer: 1323131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 63043570?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by -17762171.\nAnswer: 2\/17762171","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-5250)\/28)\/(-25))\/((-6)\/(-4))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 8581? (a) 0.2 (b) 1\/6 (c) -0.01 (d) 0.55\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Let r = 6046 - 6011. Solve -125*d + 132*d = r for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -3*h + h + h. Let f(w) = 2*w**2 - w. Let y(c) = 9*c**2 - 5*c. Let r(o) = 5*f(o) - y(o). Determine z(r(n)).\nAnswer: -n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 206 and 225982?\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5\/3 + -11\/6. Let x = -13.18 + 13. Let l = -0.02 + x. Sort l, 0.5, u.\nAnswer: l, u, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*n**2 - 7*n**2 + 93*n**3 + 8*n**2 - 5*n**2 to the form r*n**2 + s*n + h + y*n**3 and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2203311 + -20?\nAnswer: -2203331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4 - 8. Let n = 46.622 - 46.642. Sort -10, n, m.\nAnswer: -10, m, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 119*p + 17*p**2 + 252*p + 3*p**3 + 25*p**2 + 171*p - 40*p**2 to s*p**3 + j + u*p + d*p**2 and give s.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 s when two letters picked without replacement from mrervvssevmi.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 27\/(-135) + (-11410)\/(-50). Solve -r*q + 251*q = -92 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3068 and 104?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-140)\/(-21))\/((-2)\/(-18)) is divided by (-64)\/(-3)*(-27)\/(-36).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 221258 to the nearest integer?\nAnswer: 470","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15*o**5 + 915*o**3 - 915*o**3)*(6 + 0 - 2).\nAnswer: -60*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*x - 2, 5*x + 19 = 3*i - 4. Solve 2*o - i = -o, -4*n + 2*o = 20 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -210*r + 17861 = -18559 - 29730. Calculate the lowest common multiple of r and 315.\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 2, -4\/3, 3, -65, -14, 5, -0.06?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 8 + 2 + -2 - (-14)\/(-7). Let k = -73 + 211. Calculate the highest common factor of k and s.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -20 - -19.99924. Round a to four dps.\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3 - 0. Let h(y) = -2*y + 6. Let c be h(4). Let f = c + o. Solve l = -f + 3 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -112 = -13*n + 18. Let w be ((-16)\/n)\/(5 - 81\/15). Solve w*l - 4*h = 3*l - 9, 0 = -h + 1 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -18*f + f**2 + 4 + 3 + 11. Let x be h(17). Let k(z) = z**2 - 7*z - 8. Let l be k(8). Solve l = 2*s + 5 + x for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 4, s: 2, c: 1, n: 1}. What is prob of sequence mncm?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (240\/(-56) - -4) + (-637)\/1372?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3 + -2. Let r(v) = 4*v + 1. Let l be r(s). Suppose -l*n + 72 = -2*n. What are the prime factors of n?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -3*m + 2 - 4 + m**2 + m**2. Let u be b(3). Let f be 9\/(-3) + u - 2. Solve 9 = f*w + 1 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 157*h + 102. Let n(x) = x**3 + 13*x**2 + 10*x - 19. Let w be n(-12). Is o(w) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9572 + -9572. Which is the third biggest value? (a) l (b) 0.2 (c) -328\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 9252199 and 2057?\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12202121201001 (base 3) to base 14.\nAnswer: -59a3ab","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 3*g - 3 + 7*g**2 - 5*g**2 + 2. What is the remainder when 77 is divided by o(3)?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 882408890?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -11*f**2 + 20*f. Let o(r) = 10*r**2 - 19*r. Let m(w) = -2*c(w) - 3*o(w). What is the second derivative of m(g) wrt g?\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1335 + -17577?\nAnswer: -21134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 7, d: 1, u: 11}. Give prob of sequence cc.\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 3*x**3 - 9*x**2 + 17*x - 6. Let p(a) = a**3 + 7*a**2 + 4*a - 5. Let u be p(-6). Is o(u) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3 + 2. Let t = -0.07 + 4.07. Let q = t - g. Which is greater: q or -3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmnnmsnnnmn. Give prob of sequence sn.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -5 from -10624.8.\nAnswer: -10619.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7155 = -q - k, -3*q + 22881 = -2*k + 1411. What is the lowest common multiple of q and 14?\nAnswer: 50092","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6896, 15361, 23826?\nAnswer: 32291","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 205951, 413978, 622005, 830032, 1038059?\nAnswer: 1246086","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 299*i = 155*i + 162*i - 184752. What is the hundreds digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2*((-5355)\/6)\/(-51)\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2 and 24290?\nAnswer: 48580","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n**2 + n - 2. Let y be f(-3). Differentiate -5 - 7*g**3 + y*g**3 - 6*g**3 wrt g.\nAnswer: -27*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 28 and 11732.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8018 = -247317*r + 247528*r for r.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -200000121 + 22120?\nAnswer: -122201001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = -5*a + 20, 0*a - 3*p = a + 4. Let x be (-6)\/24 + (0 - (-74)\/a). Let f be 3\/12 + 11\/4. Solve 0 = 5*o + 3*w + x, 0*w - w = 5*o + f for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -6*f**2 + 2802*f - 56180. What is q(21)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 2 - (1 + -2) - -94 - (-106 + (70 - -45))\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 24\/(-16) - -1*1. Suppose -4*p + 48 = 8*p. Which is the closest to m? (a) 0.01 (b) p (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-127)\/(-3)*25\/(100\/48)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n - 262 = -4*m - 288, -3 = 3*m + 4*n for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -3 + (-6 - (9 - 12) - 18).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 9, -2, 4625\/421?\nAnswer: 4625\/421","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -37 - -58. Calculate the highest common divisor of 84 and n.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2\/4 + 0)*-2. Suppose 6*k - 21 = 57. What is the remainder when (-2)\/((-2)\/37) + z is divided by k?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t\/((t\/(t**(-19)\/t*t))\/t)*t**(-14)*(t*t\/(t**(-10)*t))**(-19) assuming t is positive.\nAnswer: t**(-241)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-26)\/(-2) + ((-126)\/(-2))\/9 + -11. Let b(y) = y**3 - 5*y**2 - 39*y + 20. What is b(d)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -9*g**3 - 10*g**2 + 4. Let o = 16933 - 16929. Let p(b) = -5*b**3 - 5*b**2 + 2. Give o*y(w) - 7*p(w).\nAnswer: -w**3 - 5*w**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in 67, 20, -195?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 5*s**2 + 580*s - 590. Let o be c(-117). Sort -7, 3, -3, 4, o.\nAnswer: -7, o, -3, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 164607.\nAnswer: 3, 54869","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0384086 to 2 decimal places.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 215139?\nAnswer: 3, 71713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f - 337 + 373 = 4*h, -3*h = f - 27 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -3*b + 26. What are the prime factors of s(-34)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qq when two letters picked without replacement from qqqdddvvdddvdv?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 114 and 1197.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 2*v - 2. Suppose -96 = -v*s + 30*s. Which is the third biggest value? (a) 5 (b) 1\/2 (c) -48 (d) s\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*f**5 + 3*f**5 - 4*f**3 - 5*f**5 + (0*f**4 + 4*f**4 + f**4)*(f - 2*f + 2*f).\nAnswer: 7*f**5 - 4*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -6*d - 33. Let f be c(-8). Suppose -f = v - 19. Factor 6*t - 4*t**3 + 34*t**3 - 15 + v*t + 10*t**3 + 65*t**2.\nAnswer: 5*(t + 1)**2*(8*t - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.5 + -2.4. Let y = 125.8452952 - 126.7453. Let f = h - y. Round f to six dps.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8 + 7. Let j be 3\/6 + (-18)\/(-4). Suppose 0 = -j*b + 449 - 164. Calculate the remainder when b is divided by r.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 197780 is divided by 35.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/6*((-52503)\/(-555) - 70)?\nAnswer: -41\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.03 - -0.97. Let i be (-7)\/((-189)\/(-30)) + 1. Which is the closest to l? (a) 0.2 (b) -2\/3 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 214834, 214832, 214816, 214780, 214718, 214624?\nAnswer: 214492","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -63b0 + 13b?\nAnswer: -6272","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:47 PM and 3:57 PM?\nAnswer: 130","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, 34, 0, -5, 89 in descending order.\nAnswer: 89, 34, 0, -5, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 25, 0.2, 1\/3, 4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (0 + (-135)\/30)\/(3*(-1)\/2). Let k(q) = -11*q**2. Let o(m) = -11*m**2. Calculate s*o(t) - 4*k(t).\nAnswer: 11*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 180?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sss when three letters picked without replacement from {i: 2, s: 4}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.08 + -0.27. Let l = -0.03 + b. Let u = l - -0.38004. What is u rounded to five dps?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 18989, 18985, 18979, 18971?\n\"Answer: -j**2 - j + 18991","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 235 minutes after 7:25 AM?\nAnswer: 11:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*s - 32*s = -30 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 57311364 to the power of 1\/4, to the nearest integer?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 443*o**3 - 17*o**2 - 29*o - 21. Suppose 2*w - m = 31, -8*w - 2*m + 16 = -6*w. Let k be c(w). Round k to the nearest 1000000.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-12)\/(-273)*(-2)\/((-16)\/28). Which is the third biggest value? (a) f (b) 4 (c) -4 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3445740.\nAnswer: 2, 3, 5, 709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -251316\/17105759 + -2\/25267. Let z be 11105*(0 - (-21)\/(-24372)). Let b = k + z. Calculate the common denominator of b and 57\/16.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = q - 2*q. Solve q*v + 20 = -0*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**3 + 2*s**2 + 2. Suppose 6 = -2*v - v. Let g be x(v). Solve -7*i + 3*i - 10 = w, g*w - 3*i = 2 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*o + 3*o + 5*a + 13, -3*o + 3*a + 15 = 0 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -320 + 322. Sort 4, k, 5, -3 in ascending order.\nAnswer: -3, k, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9202 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -8 - z + 9 + z**2 - z. Let p be f(1). Let o(k) = -41*k**3 - 38*k + 18. Let q(a) = 13*a**3 + 12*a - 6. Let l(j) = -6*o(j) - 19*q(j). Calculate l(p).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -5*f**3 - 50*f**2 - 21*f + 12. Determine p(-9).\nAnswer: -204","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.11 + 0.89. Let y be 182\/180 - 6\/15. Let c = y + -1\/2. Put 0, c, a in decreasing order.\nAnswer: a, c, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8090 - 8090 + 13*o.\nAnswer: 13*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -824 + 7*y + 17*y - 829 - 810 + 3283 - 821.\nAnswer: 24*y - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/618 or 0?\nAnswer: 1\/618","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 5*k - 696 = 0, 0 = -d - 3*k - 176 - 150. Let j = -68 + 699. Let h = d + j. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (82\/(-205))\/((-4)\/(-24) - 31\/150). Suppose 11 = 3*m - 1. Solve 5*u + v = 0, -u - 6 = -4*k - m*u for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j - 16. Let w be i(8). Let x be (-5)\/(-20) + (-14)\/w. What is the tens digit of 1 + 1 + 16 + x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/3*3921\/5228*1\/(14\/20).\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 233?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*c + 5*z - 22 = 7*c, 2*c + z - 62 = 0. What is the hundreds digit of 24824\/22 - c\/88?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of (193 - -1) + -2 + (-6)\/(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.3*-2427\nAnswer: 3155.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 2+95196.1625\nAnswer: 95198.1625","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33129365 is divided by 29.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 321993*q**3 + q + 55*q**2 + 1 + 3*q - 321997*q**3 to c*q**2 + z*q**3 + a + r*q and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14178 divided by 3.\nAnswer: -4726","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1\/(-2))\/((-20)\/(-8))*1. Which is the closest to 9? (a) s (b) 4 (c) -1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3091684558 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4667, -9385, -14083, -18755, -23395?\nAnswer: -27997","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 39397.52*-0.1.\nAnswer: -3939.752","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4225\/3 + -1401. Factor -8*w + n*w**2 + 2\/3.\nAnswer: 2*(w - 1)*(11*w - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 6326?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 81 = 29*p - 180 for p.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 22, 36, 50, 64, 78?\nAnswer: 92","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -50.86 + 51. Which is the second smallest value? (a) -1 (b) 1\/4 (c) o (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(-1)*(6448\/52)\/4?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 3*p + 126. Calculate u(-34).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 12, j: 3, r: 1}. Give prob of picking 2 j, 1 n, and 1 r.\nAnswer: 9\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 87 divide 7134?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 22840628927 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.05 in 1\/9, 20, 3?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m = z + 25, 6*m - 3*m - 12*z + 7*z - 41 = 0 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4 - 7. Suppose 30 = -22*g + 28*g. Put p, g, 1 in descending order.\nAnswer: g, 1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -18839, -75334, -169497, -301334, -470851, -678054, -922949, -1205542?\nAnswer: -1525839","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -132786 > 662?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*g + 23 = 9*g + 4*b, 0 = 5*g + 2217*b - 2221*b + 33 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s - 4 = 3*g, 105*s = 107*s - 5*g + 4 for s.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 3*k**3 - 22*k**2 - 41*k + 2. Let z(a) = 4*a**3 - 33*a**2 - 61*a + 3. Let x(v) = -7*b(v) + 5*z(v). Let u be x(-9). Solve -u - 11 = 4*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 113\/24 and -53\/5661822.\nAnswer: 22647288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ajaaajaajaaaaj. Give prob of picking 1 a and 2 j.\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 1212 (base 3) to base 11\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/2 (b) 2\/1033 (c) 21 (d) -1 (e) -46\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -472*n**2 - 1 + 474*n**2 + 2*n**3 + 0 - 1. Let r(w) = -6*w**3 - 7*w**2 + 7. Calculate 2*r(v) + 7*y(v).\nAnswer: 2*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -23*j**3 + j**2 + j. Let a(d) = -d**3 - 26*d**2 + 58*d + 55. Let l be a(-28). Give g(l).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14119?\nAnswer: 7, 2017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2054 is divided by 2053?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -269 = -5*t + 211. Suppose u = 5*u + t. Let k = 33 + u. Is 2 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -6\/4445 and -13\/140?\nAnswer: 17780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o**2 - o + 14. Give r(0).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10)\/(-42)*(-5238)\/(-970)?\nAnswer: 9\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 528\/6 + (2 - -1). Let w = -49 + f. Let m = w + -22. Is 20 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 58.899846 - 58.9. Round w to four decimal places.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5823805*r**4 + 2683534*r - 1 wrt r?\nAnswer: 69885660*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -194 = -32*i - 34 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7707 - 53952\/7. Which is the smallest value? (a) 5 (b) -2 (c) 5\/6 (d) w (e) -5\/2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-22)\/(-55) + 23\/5. Suppose -2*i + t*i = 24. Suppose 3*b - i = 13. Is b a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 20*z - 10*z**3 - 3 + 11*z**3 + 2*z**4 - 18*z + 4 - 2*z**2 in the form w*z**2 + d + o*z**3 + l*z**4 + v*z and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(144) - -5*sqrt(144)*-2)\/(sqrt(6) + sqrt(6)*-2*1 + sqrt(6) + sqrt(6)))\/(sqrt(96)\/(sqrt(360)\/sqrt(5))*-5))**2.\nAnswer: 1458\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -829b (base 14) to base 3\nAnswer: -1010211122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*g - 27*g - 35 = 0. What is the smallest value in g, -4, 3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 13) to base 12.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1443*f**3 + 19*f - 42?\nAnswer: -8658*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -645*i + 672*i - 927531 = 0. List the prime factors of i.\nAnswer: 3, 11, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 + (4 - -2 - 6)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 29*r + 4. Let o(v) = -614 - 154*v - 615 - 49*v + 1802 - 602. Determine -4*o(a) - 29*y(a).\nAnswer: -29*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fa when two letters picked without replacement from {f: 1, q: 3, a: 3}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m**2 + 4*m**2 - 4*m**2)*(-3*m**2 + 7*m**2 - 2*m**2) + (-4*m + 5*m + m)*(28659 + 358*m**3 - 28659).\nAnswer: 714*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 14276*o + 12248*o - 2859*o as r + z*o and give z.\nAnswer: 23665","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 289, 344, 459, 652, 941, 1344, 1879?\n\"Answer: 3*m**3 + 12*m**2 - 2*m + 276","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1 - -64cc02?\nAnswer: 64cc03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nen when three letters picked without replacement from nnnnnuenununenn.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u**3 + 7*u**2 + 2*u + 10. Let l be v(-7). What is the nearest to 0.2 in l, -0.4, -1\/9?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13*((-39)\/9)\/(91\/(-42)).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00001833 rounded to 6 dps?\nAnswer: 0.000018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/7 + 18996\/(-44044). Let s = -1\/121 + c. Let t = -0.8 - -1.3. What is the smallest value in t, 2, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6894 - -6896. Let c(u) be the first derivative of 3\/2*u**x + 0*u - 10. Let g(s) = 6*s. Give c(g(q)).\nAnswer: 18*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p**3 + 7*p**2 - 7. Let b be q(-3). Solve 27*c = b*c - 6 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + 6 + (-1 - (4 - 7) - 4).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 8285 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 + 61 = 79*b. Solve h - 10 - b = 2*a, -3*a - 18 = -2*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the second derivative of 25*v**3\/6 - v**2\/2 + 17*v. Let t be q(5). Let c = t - 47. What is the units digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 11 and 13277?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -174 - -189.3. Let z = q - 15. What is the smallest value in 4, -0.4, z?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22812.\nAnswer: 2, 3, 1901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 6*o + 216. Let p be r(-12). Suppose -92*s = -98*s + p. What is the remainder when 204 is divided by s?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (292 - 292 - 19*i)*(5 - 35 - 1).\nAnswer: 589*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -19*g - 36. Let y be x(-5). Let o = y + -106. Let a = -44 - o. Solve -a*q + q - 6 = 0 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4124 = 12*u - 14*u. Suppose 3*x - 2*k = u, 4*x - 4*k + k - 2751 = 0. Let c = -447 + x. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 2*r**3 - 17*r**2 + 8*r + 59. Is b(11) a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -3*a**2 + 96*a - 663. What is l(22)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5524343m to kilometers.\nAnswer: 0.0005524343","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-56)\/(-4))\/((-4)\/(-16)) is divided by 20?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m**3 - 13*m**2 - 3*m + 34. Let k be u(13). What is the thousands digit of (-388)\/((k\/(-40))\/(1\/(-2)))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -140*c**2 + 14839*c + 246. Determine g(106).\nAnswer: 140","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nnddn. What is prob of sequence ddnn?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6734 + -6602. What is the highest common factor of 2563 and r?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 22332538*j**3*w - 102598154*j**3 - 11*j*w**2 - j wrt w?\nAnswer: 22332538*j**3 - 22*j*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = 9*h - 1490. What is the remainder when h is divided by 25?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 61106 is divided by 15134?\nAnswer: 570","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*j - 4*j + 0*j)*(-3 - 245 + 44)*(1 + 2 - 2) in the form z + l*j and give l.\nAnswer: 408","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 16*s**3 - 89*s**2 + 10*s + 10. Let y(l) = -l**3 - 3*l**2 - l - 1. What is i(r) + 10*y(r)?\nAnswer: 6*r**3 - 119*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*r**3 - 1 - 126350063858*r + 126350063858*r.\nAnswer: 27*r**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/(((-39)\/18 + 3)\/20*-2). Let o(x) = -x**2 + 13*x - 5. Determine o(g).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4, -9\/8, 0.5, 2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -318\/35 + 44\/5. Let g = 31\/10 - 18\/5. What is the nearest to y in 3\/4, 1, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*g**2 + 755*g + 30*g**2 - 297*g**2 - 755*g.\nAnswer: -272*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*b - 2*b + 2 + 6*b + b)*(-31276*b - 180*b**3 + 31276*b) as m + p*b + n*b**3 + h*b**4 + s*b**2 and give h.\nAnswer: -540","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3.3 - -1.8. Let r = 3.5 - y. Sort 0.5, r, 0 in descending order.\nAnswer: r, 0.5, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + -3*(-1 + sqrt(931)) + sqrt(931)*-1*2 + sqrt(931)*-1*2 + -2)**2*6.\nAnswer: 273714","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*r - 189 = 3*r - 5*f + 335, 0 = 4*r + 2*f + 202 for r.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 2*t**2 - 5*t + 5. Let m(w) = -w**2 + 3*w - 3. Let f(j) = 4*d(j) + 9*m(j). Let n be f(5). Solve -n*o - 4 = 2 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 679 * 7.0442\nAnswer: 4783.0118","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -17573 - -17577. Which is the third biggest value? (a) 2\/3 (b) f (c) -41 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 162.2328561ms in weeks?\nAnswer: 0.00000026824215625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -32152 - 5?\nAnswer: -32157","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -18*y**3. Suppose 13 = 22*p - 9. Determine r(p).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 176275 is divided by 1695.\nAnswer: 1690","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(15)\/sqrt(12) + (0 + sqrt(5))*6.\nAnswer: 13*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kt when two letters picked without replacement from bkmkbtb?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 9 and 276.\nAnswer: 828","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 34583044?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: 101784 divided by 25446\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 863856744?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1453*v**4 - v**2 + 226*v?\nAnswer: 34872*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l + 2. Let f be z(2). Suppose i - 4*m - 15 = -4, m = f. What is the units digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:06 PM and 1:09 PM?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 10*i**2. Let k(q) = -48*q + 33. Let m(h) = -12*h + 9. Let j(p) = -4*k(p) + 15*m(p). What is j(y(r))?\nAnswer: 120*r**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 11*f**2 - 31*f + 217. Calculate c(10).\nAnswer: 1007","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1721*n - 1729*n = -492010 - 571102. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Expand (2858 + 218 + 1299)*(-5*z + 2*z + 2*z)*(-z - 1 + 1)*(1 - 1 + z).\nAnswer: 4375*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -3*n**2. Let q(p) = 72*p**2. Determine q(h(z)).\nAnswer: 648*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - (2 + 18)) + (22 - (25 - 5))?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*w - 7*w = -25. What is the hundreds digit of 4\/6*(4 + w)*-258?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 535 and 963?\nAnswer: 4815","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a meter in millimeters?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -28*m**2 + 223*m - 77. Give n(8).\nAnswer: -85","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4129853 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*b**2 + 499248*b - 29 - 499248*b.\nAnswer: -2*b**2 - 29","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3636 is divided by 69.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 2*y**2. Let i(f) = -303*f - 115. Calculate a(i(m)).\nAnswer: 183618*m**2 + 139380*m + 26450","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5474850?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 divided by -2063.\nAnswer: -6\/2063","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 1, p: 1, r: 1, e: 1, v: 2, b: 1}. What is prob of picking 1 e, 1 v, 1 r, and 1 i?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 743 = -283. Is -228 >= c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**2 - 20*l + 19.\nAnswer: (l - 19)*(l - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 120*z = 31*z + 50*z + 1560. Calculate the remainder when 188 is divided by z.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46 + 58 = -4*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -73 + 128. Suppose 0 = -5*f - 0*f + 110. Calculate the highest common divisor of f and i.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -400, -630, -860, -1090, -1320, -1550?\nAnswer: -1780","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 a factor of 460?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -175 + 265. Is q a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(2\/3)*h**5*h*(h**(2\/5))**(-4\/21)*(((h\/(h\/(((h\/(h**(1\/2)*h))\/h)\/h)))\/h)\/h**4)\/(h**(1\/2))**(-47) assuming h is positive.\nAnswer: h**(2372\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.61 >= 3\/751?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00015581631 to six dps.\nAnswer: -0.000156","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 12 + 1 + 9 + -3. Solve 29*i = j*i - 40 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, 0.5, 0.198, -5 in ascending order.\nAnswer: -5, 0.198, 0.2, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -12\/3635 and -34\/2392557.\nAnswer: 11962785","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 + 1. Let v be (-1)\/(i - (-10)\/(-9)). Suppose -46 = -4*l + 2*z, -4*z + v*z - 35 = -5*l. Does 9 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -10*j + 6. Let i(c) = c - 1. Let z(x) = -8*i(x) - y(x). Let g = 1 + 1. What is z(g)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-28 - 94 + 15)*(2*s + 3*s - 3*s).\nAnswer: -214*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -522, -5794, -15856, -30708, -50350?\n\"Answer: -2395*j**2 + 1913*j - 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4\/8 + (-15)\/2. Let x = a - -11. Suppose 112 + 124 = x*i. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11000 is divided by 57.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -9 - -16. Suppose -o*c + 11*c - 2620 = 0. Let j = -380 + c. What are the prime factors of j?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vygy when four letters picked without replacement from ypdbvyg.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 20 (base 12) to base 5\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (6\/8)\/(1 - 39\/30). Let k = 47\/18 + u. Which is the nearest to 2? (a) -4 (b) k (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -34 + 37. Suppose 0 = 21*v - 228 + 18. Solve -j - v = k, 0 = 2*k + 7 + l for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -135, -3, 2 in increasing order.\nAnswer: -135, -7, -3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1794 + 1819. Solve -12*g - 13 + b = 0 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r**3 - 3*r**2 + 38. What is the remainder when m(0) is divided by 15?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 * 9805002.\nAnswer: 49025010","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 3058272 divided by -1722\nAnswer: -1776","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 1\/4, 0.4, 0.5, -2\/5?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0 (b) 2\/9 (c) -5 (d) 0.4 (e) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = d - 5*d. Suppose 352 = 24*s - d*s. Let k(q) = 23*q - 2. What is the remainder when k(2) is divided by s?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = v + 12. Let o(g) = 6*g - 4*g + 7 - 1. Let n(a) = -4*a - 13. Let d(u) = v*n(u) + 13*o(u). Let k(m) = -2*m**2. Give k(d(j)).\nAnswer: -8*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a + g = 2 - 12, a + 14 = -3*g for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -81 - 531 + 5373*q - 5370*q + 134*q**2 wrt q?\nAnswer: 268*q + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47408324 a multiple of 844?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -s**2 - s**2 - 5*s**2 - 2*s**2.\nAnswer: -9*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 20*y - 7. Let m(x) = -x - 1. Suppose -5*c = -3*n + 64 - 16, 4*n + 4*c = 0. Calculate n*m(l) - d(l).\nAnswer: -26*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2680 = -583*p + 5*n, 5*n = 3*n + 6*n + 267 - 79 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**(15\/4))**(-31)\/(w\/(w\/(w*w**(3\/19)*w)))**(-50) assuming w is positive.\nAnswer: w**(-2991\/76)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.03 - 0.03. Which is the nearest to -1\/6? (a) -0.4 (b) y (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5 - 3.9. Let f = 23.036 - 23.156. Sort f, m, -2.\nAnswer: -2, f, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 71 - 236*v**2 - 237*v**2 + 473*v**2 - 142*v**4 wrt v.\nAnswer: -568*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v + 2. Let m be n(-1). Solve m = o + 4*l, -13 = -6*o + 3*o - 2*l for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y**3 - y**2 - y. Let r be v(2). Suppose -n + 3 = -3*p, -r*p + 15 = 5*n - 4*p. Suppose -n*w + 34 = -w. Is 12 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 4*q**2 - 7. Let h be (3 + -2)\/(((-4)\/(-456))\/(-1)). Let v = 137 + h. Calculate the remainder when m(-6) is divided by v.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z**2 + 23*z - 10. Let l be u(22). Let s(p) = -p**2 + 17*p - 44. Is s(l) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -6*y. Let i(x) = -x + 38. Give i(o(b)).\nAnswer: 6*b + 38","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-26)\/(-48) - -4*(-5)\/30. Which is the third smallest value? (a) y (b) 3 (c) 0.3 (d) -0.8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -5*x**2 + 16*x + 38. Let r(s) = -6*s**2 + 17*s + 39. Let u(f) = 6*r(f) - 7*z(f). What is u(-10)?\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 31*b**2 - 10*b + 242. Does 12 divide o(9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, k: 1, u: 2}. Give prob of picking 1 k and 1 u.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the first derivative of -5*z**3\/3 + 1. Let d(m) be the second derivative of m**4\/6 - m. Determine d(w(q)).\nAnswer: 50*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -50 + 86. What is the units digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = -132 - 138. What is the greatest common factor of s and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 20, 28, 18, -16, -80, -180, -322, -512?\nAnswer: -756","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/8 - 84\/48.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -37264 (b) 2 (c) 0.14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 86 - 10 = 0. Let h be 3 + -3 + 0 - i\/(-236). Let a = h - 5185\/708. What is the common denominator of a and -33\/4?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -537 divided by 20071.\nAnswer: -537\/20071","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -13 - -12.7. Let h = d + 0.9. Let s = -0.5999994 + h. What is s rounded to six decimal places?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 3 + x**3 - 3*x**2 + 47*x - 3*x**2 - 47*x. Calculate a(6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -3*w**2 - 77*w - 51. Give i(-28).\nAnswer: -247","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-45*(-10)\/75)\/((25\/(-35))\/(14\/(-147))).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a millennium in years?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**4\/3 - 4*j**3 + 2*j**2 + 20*j\/3.\nAnswer: 2*j*(j - 5)*(j - 2)*(j + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 2*p + 0*p + 6 = 0, -5*p = 4*u + 18. Let h be u\/10 - 42256\/(-80). Suppose 3*j = -2*d - 301 - 100, 4*j + 4*d + h = 0. Round j to the nearest ten.\nAnswer: -140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*c - 14*c - 104*c + 4 - 10*c.\nAnswer: -122*c + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -118640192 - -47740192. Round m to the nearest one million.\nAnswer: -71000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -0.5 (b) -0.077 (c) -3 (d) -0.02456 (e) 2\/7 (f) 0 (g) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 381 is divided by 32?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = w + 8. Let j be ((-5)\/(-3))\/((-4)\/12). Let x be o(j). Solve x*d = 1 + 14 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g - 27*g + 5*x = 163, -90*x - 63 = -3*g - 95*x for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 559 is divided by 491?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = 91 + 117. Let i be (6\/4)\/(39\/h). Suppose a + i*f - 27 - 12 = 0, 2*a - 4*f = 42. What is the remainder when a is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/((f**(1\/3)\/f)\/f))**(-2\/69))**(-3\/4)\/((f\/(f*f**0))\/(f\/(f**(1\/10)\/f))*((f\/f**1)\/f)**(-25)) assuming f is positive.\nAnswer: f**(-15899\/690)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(17) + 1 + 3 + sqrt(17) + (sqrt(2448)*-2)**2.\nAnswer: 2*sqrt(17) + 9796","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 31214 + -29334.1. What is p rounded to the nearest one hundred?\nAnswer: 1900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*y + 6*y - 3*y + 98*y - 325*y + 148*y + (-3*y + 0*y + 5*y)*(-1 + 0 + 0) + 0 + 0 - 2*y.\nAnswer: -84*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 31083 * -2\nAnswer: -62166","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4720 to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4\/3? (a) -1\/543 (b) -4 (c) -0.93\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 1279*h - 2814*h + 3075*h.\nAnswer: 1540*h - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 w when two letters picked without replacement from {w: 2, q: 1, l: 2, g: 1, r: 4}?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s + 1. What is the remainder when 24\/32 - (-2)\/((-24)\/(-387)) is divided by q(9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*w + 5*s - 10*s - 146, 365 = 5*w - s. List the prime factors of w.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -68663 (base 13) in base 12?\nAnswer: -91b85","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, l: 3, s: 3, o: 1, g: 2}. Give prob of sequence sl.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*g + 3, -u = -2*g - 9 + 38. Is u greater than -27?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the second derivative of -n**6\/180 + n**5\/120 + 5*n**4\/12 - n**2\/2 + 3*n + 14. Let c(j) be the third derivative of v(j). Determine c(7).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -113\/12 and 101\/36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**9*t*(t*t**(-1\/10))\/t assuming t is positive.\nAnswer: t**(99\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -55\/3264 and -95\/1122?\nAnswer: 35904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 300 - (1\/3 - (-10)\/(-30))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 90863 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 21 + -18. Let t be 26\/10 + (-8)\/(-20). Solve -t*o = -v*l - 15, -4*l + o - 15 = -1 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 840 a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (19 - 23) + -54 - -106.\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 289a (base 16) to base 5.\nAnswer: 313034","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -109\/162 and -51\/7?\nAnswer: 1134","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6669, 6567, 6407, 6189, 5913, 5579?\nAnswer: 5187","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 531268 is divided by 189?\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 679864*f**3 - 117*f**2 + 239*f + 5?\nAnswer: 4079184","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 17\/12, -1, -0.2, -2\/21, -3, -0.1?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*u**5 - 2 + 2 - u**3 + (3*u**2 + 4*u**2 + 0*u**2)*(3*u**3 - 2*u**3 - 3*u**3) - 2*u + 2*u**5 + 2*u.\nAnswer: -7*u**5 - u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 482 minutes after 12:53 PM?\nAnswer: 8:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 185463 + -259785. Let u = 74259.999 + g. Let q = 61.6 + u. What is q rounded to 2 dps?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 74*g**2 + 8*g + 3. Let l be z(4). Suppose -5*q + l = -406. Suppose -8*h + 3*h = -q. List the prime factors of h.\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let f = 21 + -8. Suppose -35 + f = -a. What is the remainder when 63 is divided by a?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iiikikk. What is prob of sequence kik?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 3.900307ml?\nAnswer: 0.003900307","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4.171 + -0.171. Which is the biggest value? (a) 3 (b) x (c) 15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -171 + 251. Suppose 0 = -284*f + 65*f + 15768. Suppose -v = -j + f. What is the hundreds digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:09 AM and 5:31 AM?\nAnswer: 322","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 11924, 1\/3, -18.4 in increasing order.\nAnswer: -18.4, 1\/3, 11924","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*u = 4*w - 22*u - 37, 24 = 3*w - u for w.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-7)\/(35\/(-8))*(-6075)\/(-51030)\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 107012, 214025, 321038, 428051, 535064, 642077?\nAnswer: 749090","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 80978*c - 42552 wrt c.\nAnswer: 80978","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 23, 21, 17, 11?\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 5*o - 4385 = 0, 0*d = 5*d + 5*o - 10985. Let b = -4800 + d. Let s = 4933 + b. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of h**3*i**3 + 2*h**3*i*r - h**3*i + 2*h**3*r - 42*h**2*i**3*r + 18*h**2*i**2*r - i**3 wrt i?\nAnswer: 6*h**3 - 252*h**2*r - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 166064 is divided by 27613.\nAnswer: 386","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 757 is divided by 749.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 * 87.9\nAnswer: 17.58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 98955127 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = 20 + 25. Let n(q) = 3 - 3*q**3 - 2*q**2 + 6*q + 4*q**3 + 8*q**2. What is the smallest common multiple of n(-4) and w?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 366854 (base 9) to base 4\nAnswer: 312012100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1986396723 to the nearest integer?\nAnswer: 44569","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 378 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r**2 - r - 1. Let t(x) = 5*x**2 - x + 3. Let h(q) = t(q) + 6*w(q). Let n(y) = -2*y**2 - 8*y - 4. Let k(s) = 4*h(s) - 3*n(s). Factor k(i).\nAnswer: 2*i*(i - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(6\/13)*(d\/(d\/(d**27\/d)))\/d)\/(d**(-1\/9)*d**(2\/5)) assuming d is positive.\nAnswer: d**(14726\/585)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -71 - -64.1. Let p = g + 7.1. What is the third biggest value in 6, -0.5, p, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-108)\/(-135))\/((-8)\/((-480)\/(-6)))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -15*z - 40. Give o(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: ((-9522)\/21160)\/((-90)\/(-75))\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 5, e: 4, l: 3, i: 3, j: 4}. What is prob of sequence rl?\nAnswer: 5\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 84 + -5c4?\nAnswer: -540","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hfio when four letters picked without replacement from hifoo.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -812 by -29.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -298054*-2\nAnswer: 596108","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4 - 4. Suppose 0 = -w - o + 142, q = -3*w + 6*w - 3*o - 420. What is the tens digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 15 (b) -5 (c) -3 (d) 1\/97\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-15)*d*d*d**(1\/8)\/d*d)\/(d*d**(-9)*d*d\/(d*d**(3\/8))))**0 assuming d is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7870?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -0.3 (b) 0 (c) 5\/231 (d) 14780 (e) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Are -52 and 3\/101 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*p - 24 = 296. Suppose -3*z + 0 + 21 = 0. Suppose 0 = -3*w + z*w - p. What is the greatest common divisor of 110 and w?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*o**2 + 0*o**2 + 0*o**2)*(-5 + 0 + 3)*(65*o - 53*o - 289*o) as v*o**2 + x*o + u + f*o**3 and give f.\nAnswer: -1108","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 61 - 584. Let z = m + 785. What is the tens digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j**3 - 2*j**2 - 56*j - 25. Determine n(0).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**32*p)\/(p\/(p*p*p**(-22)*p*p*p)) assuming p is positive.\nAnswer: p**15","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 259 + -143. Suppose -2*t = 14*f - 16*f + 72, 3*t = -4*f + n. What is the tens digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3172 - -619. Calculate the highest common factor of 17 and u.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(39)\/sqrt(3) - ((sqrt(143) + sqrt(143)*-2)\/sqrt(11))**2) + ((0 + sqrt(1053) + sqrt(1053))*6)**2 + 5.\nAnswer: sqrt(13) + 151623","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20294.\nAnswer: 2, 73, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 6 divided by -364\nAnswer: -3\/182","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 714596 and 82.\nAnswer: 29298436","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i**3 + 23274*i**2 - 2455025*i + 490074 = 0. What is i?\nAnswer: -4758, 1\/5, 103","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uo when two letters picked without replacement from {u: 2, z: 1, y: 1, o: 3, m: 3}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 11 = -4*w + 1, 0 = 4*w + 4*x + 4. Which is smaller: w or 0.001?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 44222 divided by -129.\nAnswer: -44222\/129","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34180969.\nAnswer: 277, 123397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4562 is divided by 55?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*l**3 + 7 - 7.\nAnswer: 10*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4)\/((-4)\/15) - (-1 + 6). Suppose -8*k + 4*k - 5*c = -52, -k = 2*c - z. Calculate the highest common divisor of k and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 255*h**2 + 26028*h + 1836. What is l(-102)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = 5*a - 101, -a = -0*b - 5*b - 11. Let r(l) = -l**3 + 21*l**2 + 3*l - 49. What is the remainder when 41 is divided by r(a)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -20135 (base 6) to base 13\nAnswer: -128c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:01 AM and 8:45 AM?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1766 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -5, -9, -17, -29, -45, -65, -89?\n\"Answer: -2*a**2 + 2*a - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -19149 rounded to the nearest 10000?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -4*b**3 + 4*b**2 - 697*b - 19. Calculate h(0).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -4*b**3 - 2*b**2 + 2*b - 4. Let c(y) = 4*y**3 + y**2 - 3*y + 3. Let r(d) = -3*c(d) - 2*v(d). Let n(h) = h**3 - h. What is -5*n(u) - r(u)?\nAnswer: -u**3 - u**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 1796 = 161. What is the hundreds digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**3\/3 - 196*p**2\/3 + 760*p\/3 - 752\/3.\nAnswer: 2*(p - 94)*(p - 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.00794*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the third derivative of -j**7\/504 + j**6\/360 + j**4\/6 - j**2. Let b(f) be the second derivative of x(f). Find the second derivative of b(a) wrt a.\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3234, -3235, -3236, -3237?\nAnswer: -3238","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -157\/123936 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 - (-2 + -5 + 20).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-880)\/45)\/4 - (-36 + 31). Let y(f) = 4*f + 1. Let b be y(0). What is the nearest to b in 3\/2, u, -2, -3?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -145 + 146. Put 7, 3, o, -4 in decreasing order.\nAnswer: 7, 3, o, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the second derivative of 9*a**2 + a - 1\/3*a**3 + 15 + 7\/4*a**4. Differentiate o(q) with respect to q.\nAnswer: 42*q - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the second derivative of t**5\/10 - t**4 - 20*t**3\/3 - 5*t**2\/2 + 2*t - 14. Is n(9) a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**0\/(t*t*t\/((t\/((t*t**(-33))\/t)*t)\/t)*t*t*t*t*t*t)*(((t**(2\/31)\/t)\/t)\/t)\/(t\/(t*t**(24\/7)\/t)) assuming t is positive.\nAnswer: t**(5315\/217)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 203 + -207.16. Let f = -1.16 - j. Which is the biggest value? (a) f (b) -8 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 1. Let q(v) = -4*v + 8. Let m(s) = a(s) - q(s). Suppose -2*b + 16 = 3*i + 3, 24 = 4*i - 4*b. Determine m(i).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 49, 60, 87, 136, 213, 324, 475, 672?\n\"Answer: i**3 + 2*i**2 - 2*i + 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o**2 - 4*o - 3. Let x be i(-2). Let n = x - -4. Find the second derivative of 3*j**5 + 2*j - 3*j**n - j**5 wrt j.\nAnswer: -20*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the first derivative of 2\/15*a**3 + 5 + 0*a - 2\/5*a**2. Factor r(m).\nAnswer: 2*m*(m - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 2*i - 7 = 0, -5*n - 34 = -2*n + 5*i. Which is smaller: n or 5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6507331?\nAnswer: 113, 57587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-72*b - 17*b + 3*b)*(-2*b - b**2 + 2*b).\nAnswer: 86*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-7)\/2*(-152)\/133. Let r be (-11)\/2*b\/(-2). Sort -3, 2, 1, r in descending order.\nAnswer: r, 2, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tata when four letters picked without replacement from {t: 3, a: 4}.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -39760.33 + 39600. Let f = n - -167.6. Round f to the nearest integer.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-80*h + 42*h + 36*h)*(-2 + 2 + h**2).\nAnswer: -2*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(825) + (sqrt(825) - sqrt(825)*-2))\/((-2*sqrt(30))\/sqrt(10)) + -3.\nAnswer: -10*sqrt(11) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 205 a factor of 43661492?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 147967.\nAnswer: 79, 1873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - 1 + p + p)*(p + 0*p - 4*p)*(p + p - 4*p) as y + u*p**2 + i*p**3 + n*p and give u.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*k + 2 = -20*k. Suppose 2*r + 0 = -k. Let s = 9 + r. What is the units digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1209 + -1211. Let f = -5 - -9. Let t(w) = w + f*w**2 - w**2 + 3 + w. What is t(y)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 11*d**2 - 5*d - 5. Let f = 17 + -16. Suppose -2*h = o + f, -2*o + 0*o + 16 = -5*h. Let s(w) = 6*w**2 - 3*w - 3. What is o*c(k) - 5*s(k)?\nAnswer: 3*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 - (8 + (-30 - -4)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 35 - 459 = 2*n, 4*n = 4*o + 672. Let c = -0.38 - 2.62. Sort o, c, 0 in descending order.\nAnswer: 0, c, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 + 8 + -7 + 0 - -1\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 6 - 3\/((-48)\/(-98))\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*o**2 - 50*o**3 + 23*o**3 + 78*o**3 - 2*o**2 - 47*o**3 + 5*o**2.\nAnswer: 4*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -18*f**2 + f + 3. Let c(n) = 4 + 26*n**2 + 20*n**2 - 21 + 18 - 47*n**2. Calculate 3*c(h) - x(h).\nAnswer: 15*h**2 - h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**4\/9 + 2*a**3\/9 - a**2\/9 - 2*a\/9.\nAnswer: a*(a - 1)*(a + 1)*(a + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b + 5 = -5*j + b, -b + 2 = -2*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 107\/592178 and 18\/5.\nAnswer: 2960890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -29 - -32. Suppose -z - r*w - 2105 = 0, w - 6 = -w. Is (-2)\/5 + z\/(-10) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15 (base 8) to base 4.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9 + -8 - -19) + (-2 - 0)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2856384 divided by -10944?\nAnswer: 261","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 556, 1456, 2716, 4336, 6316, 8656, 11356?\n\"Answer: 180*o**2 + 360*o + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 108\/(-12) + 1 + -5.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by -1319?\nAnswer: 4\/1319","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 3, g: 5, v: 1}. What is prob of picking 2 q?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.45 - 0.05. Let u = -41 - 9. Let k = u + 46. Which is the third biggest value? (a) k (b) v (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t + 11. Let j be k(0). Let s = -8 + j. Suppose -4*f + 0*z = s*z + 7, -f = -z - 7. What is the units digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 13 - -39. Suppose 4*p + t = 8*p. Suppose -3*m = -2*r - p, -3*m - 2*r = -4 - 1. Solve 6 = m*s, -s - s = 5*d + 1 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2490391?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 15, -2, -283, 30, 2, -3 in ascending order.\nAnswer: -283, -3, -2, 2, 15, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i = -403*z + 399*z - 1, -2*z - 4*i = 20 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-28)\/1)\/((4\/(-16))\/((-54)\/12 - -4)).\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 931011 a multiple of 214?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the second derivative of -v**5\/60 - 7*v**4\/24 - 7*v**3\/6 + v**2 + v. Let k(s) be the first derivative of w(s). Calculate k(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 2 = 14. Let j(l) be the first derivative of l + 2 - 1\/3*l**a + 1\/4*l**4 - 1\/2*l**2. Factor j(k).\nAnswer: (k - 1)**2*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t**2 + 8*t + 25. Let o be i(7). Suppose -2*w = 22 + 4. Let g = o - w. What is the tens digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 42\/(-49)*(-21)\/6?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 55 and 30.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.01568 - -5.01568. Which is the closest to 2\/7? (a) -1\/2 (b) i (c) 7 (d) -2\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-15)\/((-90)\/628))\/(2\/3). Let a = -125 + f. What is the smallest common multiple of a and 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 11 + 2*c - 6 - c - 3*c + 475*c**2. Is y(2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 3 = -3*p, 3*b = -3*p + p + 17. Let s = 35 - 32. Solve -2*g + 13 = -s*x, -g - 5*x = -b*g + 15 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g**3 + 18*g**2 - 61*g + 70. Calculate t(9).\nAnswer: 250","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 202401300 (base 6) to base 7\nAnswer: 41420232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u*u*u*u**16*u\/u**(1\/44) assuming u is positive.\nAnswer: u**(879\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (4\/(-6))\/(4\/(-30)). Let r be -28*h\/(40\/(-18)). Calculate the greatest common divisor of 7 and r.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m - 2. Let q(b) = -8*b + 24. Determine -30*p(f) - 3*q(f).\nAnswer: -6*f - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -4*(-434)\/(-372)*6\/4?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1651?\nAnswer: 13, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 2, j: 1, d: 1, m: 1, t: 1, a: 1}. What is prob of sequence tad?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -56140268*d**2. Let h(s) = -s. What is h(u(m))?\nAnswer: 56140268*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 40 - 40. Suppose h = 4*j - 57 - 31. What is the greatest common divisor of 110 and j?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3206574 decades in centuries?\nAnswer: 0.03206574","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 4*y = 27174, -2*y = -3*b - 4311 + 45032. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 - 0. Let y(b) be the second derivative of -b**4\/6 - b**3\/6 - 4*b. Let h be y(-1). Is h less than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1597\/2 - -772. What is the common denominator of p and 3\/((-108)\/2115)*2\/(-15)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 3, l: 4, q: 6, g: 2}. Give prob of sequence ml.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1592959 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v**2 - 534*v - 1059. Determine k(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 130a046 + -1a?\nAnswer: 130a028","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 11560, 11496, 11390, 11242, 11052?\n\"Answer: -21*s**2 - s + 11582","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -79 (base 15) to base 14.\nAnswer: -82","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.06 times -118748\nAnswer: 7124.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 67e44 + 47c?\nAnswer: 683c1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23313.\nAnswer: 3, 19, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/f**(-4))\/f**(-2)*(f*f\/(f**(-3\/5)\/f))\/f**(-2))**(-45\/7) assuming f is positive.\nAnswer: f**(-81)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*p = -33*p + 12*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 89259244?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1.36? (a) 0.1 (b) -3 (c) 622\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4\/5 in 0.5, -43, -6, 5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-354)\/(-2655) + 2306\/30. Suppose -z - 23 + 89 = 5*x, x - 26 = 3*z. Calculate the greatest common factor of y and x.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1494898863 - 1494898792.00000102. Let g = u - 71. Round g to 7 decimal places.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(1*(-15)\/(-5)).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 19, -8, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 2*f = 5. Let z(x) = x**3 + 6*x**2 + 2. Let j be z(-6). Let q be (40\/(-6))\/(j\/(-6)). What is the greatest common factor of f and q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -5 < 13\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 19000 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 251, -2, -50, -1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -19 (base 16) in base 4?\nAnswer: -121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1254.91 + 1253.91. Let i = 25.2 + -28. Let x = i + 3. What is the closest to -8 in g, 4\/7, x?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 7 - (4 + -2*3). Let i be 9\/q - 1*-3. Let l(d) = d**2 - 3*d - 3. Calculate l(i).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 77*r**4 + 33*r**3 + 139266*r wrt r?\nAnswer: 924*r**2 + 198*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5994691999 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = -0*x + 5*x, 1 = -2*x - d. Suppose 3*l - 1 = -2*f, -4*f = -7*l + 3*l - 32. Let p = x - f. What is p rounded to the nearest ten?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1921426*l - 1921397*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*-6*(sqrt(98) + sqrt(98) + 2 + sqrt(98))*2 - (2 + ((0 + sqrt(98) + sqrt(98))*1 - sqrt(98))*1))**2.\nAnswer: 104860*sqrt(2) + 1126902","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*-1*(-40)\/24.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -58*m - 23. Let j be q(-1). Calculate the highest common factor of j and 35.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -24*h**2. Let v(p) = 22*p**2. Let y(r) = -6*m(r) - 5*v(r). Let f(d) = -7*d. Give y(f(k)).\nAnswer: 1666*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 57 + -54. Let z(o) be the third derivative of o**5\/60 - o**4\/12 + o**3\/2 + o**2. List the prime factors of z(f).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*m + 188 + 64. Suppose -5*r + 145 = -10*r. Let q = r + m. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3294 a factor of 57405547?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -103 (b) -0.044 (c) -0.5 (d) -5\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 612 minutes before 12:31 PM?\nAnswer: 2:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3540 and 48027416?\nAnswer: 720411240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) 0.5 (b) 0 (c) 8050\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*p**4 + 0*p**4 - p**4 + (-50*p**3 + 18*p**3 - 20*p**3)*(3*p - 6*p - 2*p).\nAnswer: 254*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 839?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1579 and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g**2 + 201*g - 1722. Let l be s(192). Solve -l*r = -40*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4 - 93753986?\nAnswer: -93753990","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (561\/306)\/(18\/90*(-5)\/(-6))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 483 and 42?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4094663 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, -5, -88, 447 in descending order.\nAnswer: 447, 9, -5, -88","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-1\/3)*n\/(n\/n**1))\/((n*n**2)\/(n*n**(-6))) assuming n is positive.\nAnswer: n**(-22\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7818 + 7818. Let h = -2.4 + 2.7. What is the closest to m in -1\/6, h, -2\/5, 1\/4?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = 23 - 4. Let u(v) = -3*v - k + 19. Let o(j) = -7*j**2 - j + 2*j - j. What is u(o(f))?\nAnswer: 21*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s**3 + 2*s**2 - 11*s + 43. Let l be n(3). Let u(h) = h + 5. Let b(v) = 1. What is l*u(o) - 3*b(o)?\nAnswer: o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-17*f**3 + f + 2*f - 2*f)*(4*f**2 - 2*f**2 + 0*f**2)*(4 - 1 - 2).\nAnswer: -34*f**5 + 2*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*o - 4*o. Suppose 0 = -2*t + 4*t - 4*w, 2*w - 2 = o. Solve 5 = -l + t for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2020 a factor of 1907674999?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/4*1)\/((-102)\/204)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n*n**(-8))*n**(3\/4))\/(n*n**(-8)*n*n*n\/(n\/(n**(-1\/8)\/n))) assuming n is positive.\nAnswer: n**(119\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -9365 and 0.04.\nAnswer: -374.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -202*j - 3474. Let m(o) = 37*o + 695. Calculate 11*m(y) + 2*q(y).\nAnswer: 3*y + 697","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is w in 4*w**3\/3 + 68*w**2\/3 + 220*w\/3 + 52 = 0?\nAnswer: -13, -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-441)\/15 - (-2)\/5. Let u = f + 42. Let k = 9 + -4. What is the remainder when u is divided by k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aaaaaaaddaaada. Give prob of sequence adda.\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0 (b) -8244 (c) -3.5 (d) 3 (e) -1\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1151 + 1161. Let d(y) be the third derivative of y**4\/24 - 7*y**3\/3 + y**2. Determine d(n).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2692 (base 15) to base 11.\nAnswer: 6209","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4.007 - 0.007. Let i = 6 + -10. Which is the smallest value? (a) -4\/7 (b) w (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2\/21 + 25095\/441)\/(-3)\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4116?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 1 (b) -1 (c) 28\/3 (d) 175\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o**2 - 3*o - 1. Let g be s(-2). Let c be (-1)\/(-3) - 10\/(-6). Let k(p) = p - p**3 + 2*p**c - 2*p + 2*p**3. Calculate k(g).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -2*t**4 - t**3 + t**2 - 2. Let k(q) = -3*q**4 + 59*q**3 + 3*q**2 + 17*q - 3. Let o(c) = -k(c) + 3*m(c). Find the second derivative of o(s) wrt s.\nAnswer: -36*s**2 - 372*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 872007*n**3*r + 26*n**3 + n**2*r - n**2 + 3*n*r - 37*n - 17 wrt r?\nAnswer: 872007*n**3 + n**2 + 3*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*p + p + 0*p)*(2*p + 0*p + 0*p) + (-1 - 1 - 3)*(-2*p**2 - 1 + 1) + 2 + p**2 - 2 + 1 + p**2 + 4*p - 3*p**2 + 16*p.\nAnswer: 7*p**2 + 20*p + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.029 + -0.971. Which is the nearest to n? (a) 2\/7 (b) -1\/5 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that -5*r**4 - 630*r**3 - 19205*r**2 + 40320*r - 20480 = 0.\nAnswer: -64, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 54006.\nAnswer: 2, 3, 9001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 26\/465 - 11471\/2790. What is the common denominator of m and 65\/66?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3593 + -1961. Let w(x) = 196*x - 118. Let k be w(-4). Let m = c + k. What is m rounded to the nearest one hundred?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.23, 3, -456?\nAnswer: -0.23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 6264370594 to the nearest integer?\nAnswer: 281","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3992, 3881, 3708, 3479, 3200, 2877, 2516?\nAnswer: 2123","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the first derivative of -3715*j**4\/2 - 97*j**3\/3 + 8*j**2 - 2*j + 7004. Find the third derivative of z(i) wrt i.\nAnswer: -44580","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 0 - 6)*(7*x - 16*x**2 - 23*x**2 - 7*x).\nAnswer: 117*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1084*x + 1082*x = 8 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q**4 - 88*q**3 + 880*q**2 + 2008*q + 1044 = 0. Calculate q.\nAnswer: -29, -1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 221374898.\nAnswer: 2, 1979, 55931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3 (b) 2 (c) 243 (d) 2\/17 (e) 7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 141, 267, 429, 645, 933, 1311, 1797?\nAnswer: 2409","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3\/4, -60, 1\/5?\nAnswer: -60","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -183798*j + 183830*j + 768 = 0 for j.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5, -5, 2\/21, 1\/90?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (14\/6 - -1)*(-177)\/(-118). Let n = -6 - -1. Let p be ((-5)\/4)\/(-5) - 34\/8. Sort n, v, p, -2.\nAnswer: n, p, -2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let f be 298\/420 - (-8)\/(-12). Let m = f - 9\/14. Which is the nearest to 1\/3? (a) -1 (b) -1\/4 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1 (b) 33 (c) 2\/207\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-10)\/(-34))\/((-30055)\/(-12022))?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -143*j + 2067 - 141*j + 281*j - 2067.\nAnswer: -3*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -9*y**3 + 33*y**2 + 268*y + 22. What is the least common multiple of w(-7) and 8?\nAnswer: 11400","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.05? (a) -2\/19 (b) 0 (c) -16.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -257*d + 844 - 4705 = 6419 for d.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 34027 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 36250 and 181250?\nAnswer: 181250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*j + 34 + 74 = 0 for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1820244 to the power of 1\/2, to the nearest integer?\nAnswer: 1349","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 13 = -16. Solve -5*c + 9 = -0*x + 2*x, -3*c - y = 4*x for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -4*b**3 + 5*b + 1. Let d(w) = -w. Let y(k) = -6*d(k) - n(k). Let g be y(1). Solve -g = z - 8 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -93 = -201*o - 1098 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 87, 685, 2321, 5517, 10795, 18677, 29685, 44341?\n\"Answer: 87*u**3 - 3*u**2 - 2*u + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(3) - sqrt(12))*-4.\nAnswer: 20*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -875*-5331\nAnswer: 4664625","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 227.93 - 227. Let y = x - -3.17. Let m = -4.0999916 + y. What is m rounded to six dps?\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -17*p**2. Let o(h) = 8*h + 18. Let y be o(5). Let w(t) = t + 56*t**2 - y*t**2 - t. Give c(w(b)).\nAnswer: -68*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the second derivative of a**3\/3 - 2*a. Let o(l) = 3*l. Let m = 233 - 236. Let k(q) = q**2 - 7*q. Let d(i) = m*k(i) - 7*o(i). Calculate d(p(b)).\nAnswer: -12*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 i when two letters picked without replacement from xjkdidhx?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v and 1 t when three letters picked without replacement from vxztzuxzzvzxxxzzzz.\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 34274 = -3*z + 27993, -5*m = 4*z - 62261. What is the hundreds digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 26\/5 and -39\/64.\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by -38527089\nAnswer: 5\/38527089","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (sqrt(1216)*1)**2 + -5 - (sqrt(475)*1 + sqrt(19) + sqrt(19) + sqrt(19) + -1 + -1)**2) + -5.\nAnswer: -18 + 32*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = 3*x + 783, -2*o + 7*o - 1305 = 4*x. Suppose o = 12*d - 447. What are the prime factors of d?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f**3 - f**2 - f. Let b(c) = -135*c**4 - 5*c**3 - 5*c**2 - 5*c + 66. Let h(i) = -b(i) + 5*k(i). What is the first derivative of h(z) wrt z?\nAnswer: 540*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 32 + -43. Put -0.1, 3\/5, w in decreasing order.\nAnswer: 3\/5, -0.1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 91229 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 3, m: 3, g: 3, q: 1, l: 3, o: 1}. What is prob of sequence qgg?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1101000011100101101 (base 2) to base 3.\nAnswer: 210201212020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(-8) - (-1026)\/3888.\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence es when two letters picked without replacement from esieaeqe?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (146 - 6*a**2 - 297 + 155 - 5*a)*(-41*a**2 + 465 - 465).\nAnswer: 246*a**4 + 205*a**3 - 164*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1726634?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -19c8 - 45a33?\nAnswer: -4772b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, 12, 2, 4 in ascending order.\nAnswer: 2, 4, 10, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.150065 tonnes in milligrams?\nAnswer: 150065000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the first derivative of 4*a**5\/5 + 7*a**2\/2 + 9. What is the second derivative of g(l) wrt l?\nAnswer: 48*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + sqrt(55)\/((-1*sqrt(25) + sqrt(25))\/sqrt(5) - sqrt(5)).\nAnswer: -sqrt(11) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 + 0 - 6 - (-218 - -209)) + -7 + 62?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*p**3 - 105*p**2 - 3485*p + 19425 = 0. Calculate p.\nAnswer: -21, 5, 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5568, -5617, -5666, -5715, -5764?\nAnswer: -5813","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = 3*p + p, 4*p = -4*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 2 + 3)*(-210 - 167 + 423)*(0 + 5*b + 0) to o*b + s and give o.\nAnswer: 230","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.427191409 rounded to 1 dp?\nAnswer: 6.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -24141 - -35690. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s**2 + 21*s - 103. What is q(12)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -5, 11, 0, -0.1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4*-0.114.\nAnswer: -0.0456","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 302211 = 22*d + 303487 for d.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2274 = -28*m - 1910 for m.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 12368 and 27355697?\nAnswer: 773","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -144*h - 148*h - 145*h + 688*h - 143*h - 120*h.\nAnswer: -12*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -7826*d + 15566*d - 7794*d. Let k(f) = 11*f**2. Determine k(s(x)).\nAnswer: 32076*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 172 + -170. Suppose z - 4*z = -5*j - 25, -3*j + 4 = 2*z. Let y be u\/(j - (7 - 4)). Which is the smallest value? (a) 3 (b) -2 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2259, 4499, 6737, 8973, 11207, 13439?\nAnswer: 15669","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 414*r - 46912 = 12*r - 104*r - 4408 for r.\nAnswer: 84","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1428.36 * -1.348.\nAnswer: 1925.42928","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 145266319 to the power of 1\/4, to the nearest integer?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101000001010010010 - -1101?\nAnswer: 101000001010011111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6682404?\nAnswer: 2, 3, 556867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1 - 1)*(-2 + 1). Let u = -54 + 53. Let o(x) = 4*x - 19. Let l be o(6). What is the closest to u in l, p, 3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(-2*(sqrt(1900) - (-1 + sqrt(1900)) - sqrt(1900)) + (sqrt(2736) - (-1 + sqrt(2736))*-1)))**2.\nAnswer: -9504*sqrt(19) + 1324548","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Add together -11.1 and 17.\nAnswer: 5.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 7*r**2 + 6*r. Let u = -1 + -16. Let f(i) = -20*i**2 - 17*i. Let p(l) = u*d(l) - 6*f(l). Let k(m) = -m. Give p(k(j)).\nAnswer: j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + -5 + 3 + 1.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 18580364587 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 222 is divided by 45?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(1 + (-1 + (0 + -1*sqrt(363))*-4*-6)**2).\nAnswer: 2112*sqrt(3) + 836360","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k - k + 4*k**2)*(2 - 2*k**3 - 11*k**2 + 11*k**2).\nAnswer: -8*k**5 + 8*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(187)\/((sqrt(66)*2)\/sqrt(6)).\nAnswer: sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 254811?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 + -0.99. Let q = -37 + 29. Let o(w) = -w**2 - 5*w + 24. Let l be o(q). Is l > r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1876635?\nAnswer: 3, 5, 13901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000006233 rounded to six dps?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1558\/190 - (-8)\/10. Let d(r) = 205*r**2 - 10*r - 28. Is d(b) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.072 + -405.928. Let y = w + 50. Let v = 356.0000169 + y. What is v rounded to six decimal places?\nAnswer: 0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 124470 divided by 7\nAnswer: 124470\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -237047, -237048, -237049, -237050, -237051?\n\"Answer: -b - 237046","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (5 - (5 - -1))*-54. Suppose 3*d - 490 = -5*h, -36 = -h + d + 70. Let t = h - n. List the prime factors of t.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q - 1. Let s(c) = -810*c + 16. Let m(d) = -s(d) + 5*z(d). What is the hundreds digit of m(1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*s - 2*v - 9296, 3*v = -2*s + 4804 - 1078. Let w = -869 + s. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (137752\/20 + 2)*(-1250)\/4. What is s rounded to the nearest 1000000?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -64*z - 118*z + 137 + 196*z. What is b(-10)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -200.9452083613 and -0.2?\nAnswer: 200.7452083613","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = g + g - 8. What is the third derivative of -18*x**2 - 3*x**2 - 4*x**4 + 4*x**4 + 5*x**g wrt x?\nAnswer: 120*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange k**4 - 2 + 2 + 0*k**2 + 0*k**2 - 2*k**4 + (0*k**4 + 4*k**4 - k**4)*(1 + 5 - 2) to the form v + z*k**4 + j*k + m*k**3 + i*k**2 and give z.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5 + -4. Let h(x) = -x**2 - x - 1. Let j(s) = s**3 - 6*s**2 - 6*s - 6. Suppose -5893*i + 18 = -5896*i. Determine i*h(a) + w*j(a).\nAnswer: a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = -5*l - 24, 0 = -2*c - 3*c + 2*l + 47. What is the remainder when 64 is divided by c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1294 is divided by (-194)\/50*-5 + 15\/25.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10693 is divided by 20?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -548 - -584. What is the highest common factor of r and 156?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/(4\/(-9))*4. Let g be (-2)\/s + (-43)\/(-9). Let i(z) = z**3 - 6*z**2 + 6*z - 2. Let d be i(g). Let x(h) = -h**3 + 5*h**2 - 5*h + 3. What is x(d)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -35611 + 35613. Let m(f) = 3*f**3 - f**2 + 3*f - 8. Give m(s).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -900*d - 436703. What is p(-485)?\nAnswer: -203","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that -2*s**5\/5 + 132*s**4\/5 + 574*s**3 - 4112*s**2 + 31992*s\/5 - 14432\/5 = 0.\nAnswer: -22, 1, 4, 82","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 845213?\nAnswer: 397, 2129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2500 is divided by 20.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2\/3047 + 3063\/24376. What is the closest to 0.1 in -5\/4, f, 0.4?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m**3 - 10*m**2 + 12*m + 8. Determine t(-11).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 607 - 604. Suppose j - 147 - 57 = 2*c, -l*j - 4*c + 652 = 0. Does 12 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7*2*8\/28.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 55 - 17. What is the units digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7303958922 to the power of 1\/2, to the nearest integer?\nAnswer: 85463","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 k when two letters picked without replacement from {q: 5, x: 1, e: 3, k: 2, o: 1}.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 21370 and 2396?\nAnswer: 25601260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (24\/14)\/((-4)\/(-14)). Let v(i) = 5*i + 4*i - o*i. Let u(r) be the third derivative of r**5\/30 - r**2. Determine v(u(l)).\nAnswer: 6*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(49)\/(-1*sqrt(7)))**2.\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-78)\/18 - (-1)\/3. Let h be (-5 - -5)\/(9\/3 - 1). Let k be (1\/(-1))\/((-1)\/5). Put k, z, h in descending order.\nAnswer: k, h, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -2824*x - 1132. What are the prime factors of g(-4)?\nAnswer: 2, 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -45*l + 27*l**3 + 95*l - 39*l - 11*l.\nAnswer: 27*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 4189793 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 3135 a factor of 161797350?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 40 - 37 - (0 - 1).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -588*z - 268*z + 2182*z + 2157*z + 275*z to the form w*z + m and give w.\nAnswer: 3758","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*a**2 + 55*a - 108*a - 10*a**2 + 38 + 53*a in the form d*a + v*a**2 + g and give v.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 3*t. Let u(s) = -249*s + 2. What is h(u(o))?\nAnswer: -747*o + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56*x - 60*x + 28 = 0. Let p(h) be the third derivative of x*h**2 + 0*h**3 + 1\/15*h**7 + 0 - 1\/3*h**4 - 1\/12*h**6 - 8\/15*h**5 + 0*h. Solve p(a) = 0.\nAnswer: -1, -2\/7, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -213.25 - -12.85. What is w rounded to zero decimal places?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 22 - -104. What are the prime factors of n?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*l - 212 + 212.\nAnswer: 7*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 529, -12, -1, 2, 5, -5 in increasing order.\nAnswer: -12, -5, -1, 2, 5, 529","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.44 + -5.44. Let t = -108 - -112. Put t, s, -3\/7, 5 in descending order.\nAnswer: 5, t, -3\/7, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 0*t = 2*t. Solve -v + 4 = 4*n, 2*n + 2*v - 8 = -t*v for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-9)\/15)\/(1 - 0). Suppose 5*j + 4*l - 66 - 29 = 0, -j + 10 = -l. Let f = j + -20. Which is the second smallest value? (a) f (b) 0.4 (c) -6 (d) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 + 72 = 7*a. Suppose 2*h - a = 2*u - 5*u, 3*h + 12 = 0. Solve -4*t - 3*g - 7 = u, 3*t + 13 = -g for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(1\/10)\/g**6*g**(-1\/3)*g*g*g**(-12) assuming g is positive.\nAnswer: g**(-487\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12695?\nAnswer: 5, 2539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 15) to base 6\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 220*s = 224*s. Solve s = -o + 7*o - 30 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -239901129\/6470 + 37079. Find the common denominator of 67\/40 and l.\nAnswer: 25880","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 1, 9123, 66?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*l**2 + 130 - 130 - l)*(-8*l - 24 + 32 - 3).\nAnswer: -32*l**3 + 28*l**2 - 5*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -2*p - 9. Let u be w(-6). What is the third derivative of u*d**3 + 3 - 3 + 2*d**2 - 2*d**3 wrt d?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 5*t**2. Let i(h) = 27*h + 4. Let b(u) = 24*u + 6. Let c(d) = 4*b(d) - 6*i(d). Calculate c(o(v)).\nAnswer: -330*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z + 1 = 2*f, 2*z + 1281*f + 9 = 1284*f for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand x**2 + 3*x - 3*x + (-16 + 16 + 12*x)*(0*x - 2*x + 4*x).\nAnswer: 25*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -9 + 5. Let x be 9 + 4\/k*-1. What is the third derivative of 15*g**2 - x*g - 9*g**6 - 2*g**2 + 10*g wrt g?\nAnswer: -1080*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j**3 + 4*j + 2. Let y(c) = c + 5. Let u(x) = 2. Let o(r) = 7*u(r) - 3*y(r). Determine 3*o(m) + 2*q(m).\nAnswer: -2*m**3 - m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 5*n + 15*n**2 + 7 - 2.\nAnswer: 15*n**2 + 5*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4162 + 8235. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -389743 divided by -66.\nAnswer: 389743\/66","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 2, a: 1}. What is prob of sequence oa?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -13207 - -13273. What is the lowest common multiple of 1496 and k?\nAnswer: 4488","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + 8 + -7 + 0 + 8.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -20232072, -20232066, -20232060?\n\"Answer: 6*p - 20232078","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t - 112 + 32 = -5*z, -31*t + 26*t = 11*z - 256 for z.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 209809 is divided by 104864.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 101011010110 (base 2) in base 14?\nAnswer: 1022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 times -22893?\nAnswer: -1442259","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2305 + 98975 = 2512*m + 5824 for m.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -12*q - 75. Let o be p(-19). What is the greatest common factor of 9 and o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 2*x = -0*s, -3*x = 9. Calculate the common denominator of (51\/5 - 2)\/(s\/10) and ((-38)\/(-12))\/((-69)\/(-92)).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h**2. Let r be s(-3). Let w be (0 - 5) + (r - (-5)\/1). Let t(q) = -q + 3. Determine t(w).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, 0.4, -14\/5, 49\/6, 1\/3, -1 in decreasing order.\nAnswer: 49\/6, 8, 0.4, 1\/3, -1, -14\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -15, -14, -63973?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s - 4. Let u(h) = h - 5. Let j(b) = b + 1. Let l be j(3). Calculate l*m(y) - 3*u(y).\nAnswer: y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2930*u**4*x**3 - 2*u**4*x - u**3 + 2*u**2*x**3 + 2*u*x**3 + 169*u*x**2 - x**3 wrt u.\nAnswer: 70320*u*x**3 - 48*u*x - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 81\/133 - 15\/38. Let u = -2 - -8. Calculate the common denominator of -30*u*(-1)\/(-224) and n.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -10 - 18?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -8d - -1?\nAnswer: -8c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (32\/(-33))\/(17\/(-357)) - 36\/99?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 398, 403, 410, 419, 430, 443?\n\"Answer: w**2 + 2*w + 395","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 63*d - 66*d - 12 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 2, t: 1, p: 1, f: 2, q: 1}. Give prob of sequence pfll.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1002131549 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11975816.79 nanoseconds to weeks.\nAnswer: 0.000000019801284375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 2\/57, 1\/34, 0, -0.3, 1\/2, -4\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m**2 + 9*m + 53. Let l be n(-7). Suppose 4*h - 4*i - 76 = 0, 5*i - l = -h + 4. What is the least common multiple of 3 and h?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-21)*u**10*u*(u\/(u\/(u*u**12)))**(-25\/3) assuming u is positive.\nAnswer: u**(-355\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -10364, -20700, -30988, -41204, -51324?\n\"Answer: 4*a**3 - 10364*a - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 49659549?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -309*p + 546*p + 883*p - 146*p + 502*p - 3*p**2 = 0. What is p?\nAnswer: 0, 492","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 113917516.\nAnswer: 2, 41, 694619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(13) - (sqrt(65)\/sqrt(5))**2) + -1 + -3.\nAnswer: -17 + sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 93440 and 24160?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -2*f**2 - 5. Let x(u) = 3*u**2 + 6. Calculate 6*r(y) + 5*x(y).\nAnswer: 3*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 15*d - 3. Let x be c(2). Solve -4*g - 3*t - x = 0, 3*g + 3*t = 2*t - 14 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*y + 1 + 13*y**4 - 5*y**2 + y**3 - 3*y + 6*y**2 + 0 in the form h*y**2 + d*y + u*y**4 + q + z*y**3 and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*r + 40 = r. Solve -r*t = t + 6 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(-1*sqrt(99)*-4 + sqrt(99) + -4*1*sqrt(99) + sqrt(99)))\/(((sqrt(54) - -2*sqrt(54))*2)\/(sqrt(96)*2)).\nAnswer: -8*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.06 + 7482052235481?\nAnswer: 7482052235480.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 4380 divided by 6\nAnswer: 730","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t\/(t*t\/(t\/(t\/(t\/(t\/t**(2\/7))))))*t))**(1\/4))**20\/(((t**4*t)\/t)\/t**(2\/9))**7 assuming t is positive.\nAnswer: t**(-1441\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -2*o**2 + 11*o + 1. Let d(q) = -6*q**2 + 63*q - 34. Give 6*c(p) - d(p).\nAnswer: -6*p**2 + 3*p + 40","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + f + 5 + 0 + f - f**3 + f**2 - 5*f**4 to the form j*f**4 + s*f**2 + q + o*f + p*f**3 and give j.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.0323, -1, 509, 0.7?\nAnswer: 0.0323","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*v + 3*n - 5 - 24, -5*v + 43 = -4*n. Suppose 2*x - v*x + 130 = 0. Suppose -3*r = -j + r + x, 5*j - 88 = -r. Does 14 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4855 and 11907373.\nAnswer: 971","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + (0 - -8) + -9?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3.26 - 2.76. What is the closest to 0.1 in 4\/3, v, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 21 = -5*h, h + 15 = r + 5*h. Let v(x) be the first derivative of x**3\/3 - x**2\/2 - 3*x - 6350. Give v(r).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*x + 6 = 17*x. Is ((-1240)\/25)\/(x\/15) a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18422050 is divided by 113.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -40, -0.1, 1.9802?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2\/(-4))\/((-5)\/4). Suppose 16 = -4*n, r + n = 2*n + 5. Let f be (-3 - -3) + r\/9. What is the closest to h in f, -2, 0?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1001 (base 2) to base 13\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -42, -363, -13, 13 in increasing order.\nAnswer: -363, -42, -13, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1 - -2. Suppose 0 = -w*v + 2*n + n + 18, -4*n - 22 = -2*v. Let q = -4 - -6. Which is smaller: q or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 11906510?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1458500498 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 544000 to the nearest one million.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 539097.9 hours in nanoseconds?\nAnswer: 1940752440000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/13, 1083, 767 in descending order.\nAnswer: 1083, 767, 2\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -6 - (52 + -17 + -103)\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.7 + 1. Let j = a - -0.2. Let y = 0.1 - j. What is the second biggest value in -0.1, y, 0.5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*d**3 + 10*d**3 + 1 + 187*d**2 + 236*d**2.\nAnswer: 10*d**3 + 423*d**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 - (-69)\/30*428\/107.\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -3 - (-7)\/(28\/132). Suppose -l = -13*w + 8*w. Suppose 2*t = 4*g - 28 + w, -4*g = -3*t - 25. Solve -2*j = -5*r - 2, 0*r - g*j = -r - 4 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3845920 divided by 769184\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the first derivative of -2*a**7\/35 + a**5\/10 + 9*a**2\/2 - 5. Let g(n) be the second derivative of w(n). Find the third derivative of g(l) wrt l.\nAnswer: -288*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:23 PM and 9:36 PM?\nAnswer: 553","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q**3 + 7*q**2 + 8*q - 9. Determine r(7).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -413, -1338, -2885, -5060, -7869, -11318, -15413?\n\"Answer: -n**3 - 305*n**2 - 3*n - 104","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*j + 527 = 48*j for j.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = -6*g + 6, 4*b + g = 23. Let z(x) = -x**3 + 4. Let o be (-8)\/20 - (-2)\/5. Let m be z(o). Solve i = 5*i - m*q - 28, 0 = b*i - q - 23 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j = 25*r + 68 - 247, -18 + 9 = -2*r + 5 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3675 a factor of 897853950?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 118*u + 223. What are the prime factors of a(5)?\nAnswer: 3, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -48, -87, -100, -75, 0?\nAnswer: 137","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3, -12, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*d**5 - d**5 + d**5 - 5*d**5 - 8*d**5 - 9*d**5 + (-d + 2*d**4 + d)*(0*d - 3*d + 0*d).\nAnswer: -30*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 90 = 3*r, 3827*r = 3832*r + 10. Let c(k) be the first derivative of 0*k**3 + 15 + l*k - 23\/2*k**4 + 0*k**2. What is the derivative of c(s) wrt s?\nAnswer: -138*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = -2*z + 4*z - 4*b, -24 = 4*z + 4*b for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2*-1)\/((-13)\/26). What are the prime factors of (6\/g)\/(14\/672)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1352 (base 6) in base 16?\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 5, x: 3, p: 4, l: 1}. Give prob of sequence lpn.\nAnswer: 5\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -15*3*(-1)\/(-9). Let m = o + 2. Let w = m - -6. What is the units digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -1. Let u(f) = -f - 6. Let j = 1162 + -1158. What is j*p(m) - u(m)?\nAnswer: m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -18162 times 1\nAnswer: -18162","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ooowowrooooro. Give prob of picking 2 o and 1 r.\nAnswer: 36\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-c + 3 - 3)*(2 + 3 - 4) + 90*c - 48*c - 79*c)*(7 + 3 - 1)*(-1 - 2 + 4) to s + r*c and give r.\nAnswer: -342","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mkmksssmskkmmsmm. Give prob of picking 3 s.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1946?\nAnswer: 2, 7, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q**3 - 12*q**2 - 33*q - 10. What is x(-8)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 16 and 72.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -448 + 7598\/17. Let u be 3\/(-7) - 100\/175. Let n be 76\/12 - 7 - u\/(-3). Which is bigger: l or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11201 + -213?\nAnswer: -12020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3\/8, -0.4, -4, 2\/11, 0?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.2944 to 3 dps.\nAnswer: -0.294","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -63*b + 431. Give n(7).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o\/(o**6\/o))\/o*o**(-1\/4)*(o*o*o**(3\/7)*o)\/(o*o\/((o**(1\/6)\/o)\/o)) assuming o is positive.\nAnswer: o**(-391\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4.29 + 0.11. Let j = s - 0.8. Let u = j - 3.59985. What is u rounded to 4 decimal places?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -49 - -111. Calculate the remainder when q is divided by 539\/49 + (3 - -4).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1167 = -354503*v + 354688*v - 18002 for v.\nAnswer: 91","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 8f (base 16) in base 7?\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -3*z - 4. Let n be o(-3). Suppose -10*h + 14*h - 40 = 0. What is the greatest common divisor of n and h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4*-150.685227\nAnswer: -602.740908","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2 - 21bc8?\nAnswer: -21bca","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is f in 4*f**5 + 36*f**4 - 372*f**3 - 1556*f**2 + 8208*f + 9360 = 0?\nAnswer: -13, -6, -1, 5, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -61353 divided by -1\nAnswer: 61353","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-6 - -3) + 2)*-7. List the prime factors of 72\/7 - 2\/l.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*y = -k + 5*y - 90, -5*y + 360 = -5*k. Let t = k - -142. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by -2714.\nAnswer: 5\/2714","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 36 - 22 - 378\/(-21). Solve 3*a = 5*r + 32, -4*r + 4*a + y = 64 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5.9 - 6. Let z(l) = l**2 - 3*l + 1. Suppose -d = 2 - 3. Let t be z(d). Which is the closest to v? (a) -2 (b) t (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 7*y - 4. Let l(x) = -8*x + 5. Suppose -5*z + 25 = 2*n, n + n - 11 = -3*z. Calculate z*b(v) + 6*l(v).\nAnswer: v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 291738.\nAnswer: 2, 3, 48623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -l**3 + 3 - 2*l**2 + 0*l**2 - 105*l + 105*l in the form p + m*l + n*l**2 + o*l**3 and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3, -134294, -3, 2.6?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 964296 divided by -4?\nAnswer: -241074","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 1 = 0, -2*m = -6*m + 2*a + 114. What is the third derivative of 66*o**2 + 34*o**3 - 33*o**2 - 32*o**2 - 6 + 74*o**3 + m wrt o?\nAnswer: 648","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 55010055.\nAnswer: 3, 5, 149, 151, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1356032 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 159*m*w**4*x**3 + 8*m*w**2*x**3 - 3*m*w*x**3 + 2*m*x**3 + 65*m - 361*w**3*x**3 wrt w?\nAnswer: 3816*m*w*x**3 - 2166*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 387 - 302. Is a a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4204 (base 5) to base 4.\nAnswer: 20222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 49.26175 nanometers?\nAnswer: 0.00000000004926175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 24.6 - 32. Let w = 7 + x. Which is the second biggest value? (a) w (b) 0 (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 294180249, 294180252, 294180255, 294180258, 294180261, 294180264?\nAnswer: 294180267","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -10*x**2 + 5859*x - 569058. What is s(463)?\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 87335665.\nAnswer: 5, 17467133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2870 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (140\/56)\/((3\/28)\/(-3*6\/12))\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9380721?\nAnswer: 3, 7, 37, 12073","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 72517?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8\/47 or 1?\nAnswer: -8\/47","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in thirteen quarters of a tonne?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d + 3*d = 6. Let a = 2 - d. Solve a = -3*w + 5 + 1 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - 1 - (119 + -111) - 3.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d**(-1\/5)*d**(1\/6))\/(d**(-1\/4))**(-13))**(-4\/13))**(-2\/63) assuming d is positive.\nAnswer: d**(-394\/12285)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 39 = -2*s + 3*s, 5*q = 4*s - 105. Let p = -26 + s. Suppose p*n + 3*r + 76 = 0, 66 = -5*n + r - 10. Which is greater: -17 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-16)\/(84*4\/(-1380)). Suppose -16\/7*m + 176\/7*m**2 - d*m**3 + 0 + 300\/7*m**4 = 0. Calculate m.\nAnswer: 0, 2\/15, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(875) - sqrt(35))\/sqrt(7).\nAnswer: -6*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 94 + -62. Suppose 188 = 2*m - 3*t, 2*m + t - 188 = -4*t. Calculate the remainder when m is divided by q.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.52462 times 33.9?\nAnswer: 17.784618","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11 - -30312?\nAnswer: 30301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 7 = -4*v - 2, -3*k = 2*v - 25. Calculate the least common multiple of k\/(-6)*-2 + 8 and 4.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*o + 2*o - o)*(90 + 211 - 146 - 3 + 3 + 2 + (0 - 1 + 2)*(-3 - 1 + 3) + 1 + 4 - 3).\nAnswer: 158*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4203661676 to the nearest integer?\nAnswer: 64836","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 30 - 12. Let z = 18 - n. Which is the second smallest value? (a) -5 (b) 4 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -58 + 58. Let f(g) be the second derivative of -2*g + 0*g**2 + a + 2\/3*g**3. Determine f(-1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u**2 + 4*u - 24. Let q be p(11). Suppose -33 = 12*x - q. Which is smaller: x or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9\/1002*(544\/51)\/(-16)\nAnswer: -1\/167","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 107745?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n**4\/4 - 158*n**3 - 2820646*n**2 + 4306349432*n + 8623980180 = 0. Calculate n.\nAnswer: -3690, -2, 2162","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c**4 - 60*c**3 + 8928*c**2 + 27216*c = 0 for c.\nAnswer: -54, -3, 0, 42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 398 and 22?\nAnswer: 4378","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 8*m**2 + 16*m - 32. Let l(s) = 7*s**2 + 16*s - 17. Let r(f) = -3*l(f) + 2*u(f). Let z(q) = -q**2 - 4*q - 3. Determine 4*r(o) - 18*z(o).\nAnswer: -2*o**2 + 8*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -7 or 4\/329?\nAnswer: 4\/329","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 464*x**2 - 1169.\nAnswer: 928*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 239 is divided by 32.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 - 24 = t + 5*d, -3*d = 3*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l\/((l\/(l*l\/(l*(l\/(l**(-2)*l)*l)\/l))*l)\/l))\/l)**(1\/12)\/(((l\/(l\/(l\/l**(-8))))\/l)\/(l\/l**(-6)*l*l)))**(-23) assuming l is positive.\nAnswer: l**(-115\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.100008537 to 2 dps.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1518231117?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is j in 6*j**2 + 501*j - 82917 = 0?\nAnswer: -333\/2, 83","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-52*v + 52*v + 2*v**2)*(v - 3*v**2 + v**2 + 3*v) + (-3 + 3 - 3*v**3)*(v + 0*v + v).\nAnswer: -10*v**4 + 8*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 10649 and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:37 PM and 6:32 AM?\nAnswer: 655","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 78 divided by 3.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 12 + 8 = -4*k, k - 4*r - 16 = 0. Let a be (18\/(-9))\/(0 + 5). Which is greater: a or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 4346*n - 21. Let h(w) = 6*w. Determine h(a(v)).\nAnswer: 26076*v - 126","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4581315?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the second derivative of l**4\/108 - 2*l**3\/9 - 13*l**2\/18 + 1261*l. Find f such that g(f) = 0.\nAnswer: -1, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 492*x + 15376. Let c(y) = -y**2 - 493*y - 15376. Let s(w) = 4*c(w) + 3*p(w). Factor s(q).\nAnswer: -4*(q + 62)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 45 + -55. Let f = -0.22 + 11.22. Let j = p + f. Does -2\/3 = j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10642166.\nAnswer: 2, 19, 103, 2719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9069 + -9074. Suppose 4*c = -3*v - 0*v + 22, 2*c - 20 = 3*v. Sort c, i, 2 in decreasing order.\nAnswer: c, 2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 n when two letters picked without replacement from nfatnvrvfnfrnaf.\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1449*g = -1447*g - 8, -2*g + 68 = 5*u for u.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 2261500*t + 3*t**2 - 2261500*t + 1015 as k*t + f*t**2 + b and give b.\nAnswer: 1015","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3 or 5.62?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:23 PM and 11:07 AM?\nAnswer: 704","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -73\/24363430 and -49\/16706352.\nAnswer: 584722320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the second derivative of -m**5\/20 + 19*m**4\/12 + m**3\/2 + 18*m**2 + 2*m. What is the units digit of n(19)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4*g*i**2 + 568*i**2 wrt g.\nAnswer: -4*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2\/25 (b) -0.5 (c) -4\/7 (d) -2\/1395 (e) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.456 - 210.544. Let w = -210.803 - g. Round w to 1 dp.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.1 - -2.9. Let d = 8 - s. Let p(z) = z. Let m be p(0). What is the nearest to 1 in m, -0.1, d?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4 and 0.037790379.\nAnswer: 0.151161516","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2515456*b - 43502746 wrt b?\nAnswer: -2515456","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1058*m = 27389 - 3055 for m.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 63*f - 23*f. Suppose -5*a + q = -1, -q + 0*q + 9 = 5*a. Sort f, a, 5, 4 in descending order.\nAnswer: 5, 4, a, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 - (51 + (-1 - -8))?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 15297 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -261*o + 87. What is the tens digit of q(-6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 235607284 to the power of 1\/7, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (2765\/(-175))\/((24\/(-15))\/2*28\/(-112))\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 19315 and 160?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 12*q + 15. Let a(w) = 14*w + 16. Let i(o) = 5*a(o) - 6*g(o). Calculate i(-8).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(171) + 1*sqrt(171)))\/(sqrt(9) - ((-1*sqrt(108))\/sqrt(12) - sqrt(9) - sqrt(9))).\nAnswer: -2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 3063*k**3 - k**2 + 10*k + 12. Let s(d) = 6127*d**3 - 2*d**2 + 19*d + 24. Let c(h) = -5*q(h) + 3*s(h). Let r be c(-3). Round r to the nearest 10000.\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of d**3 - 118*d**2 + 93*d - 881112 wrt d?\nAnswer: 3*d**2 - 236*d + 93","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -45 - -17. Let m = -33 - f. What is the third biggest value in 2\/15, -2, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 31 + -15. Suppose 17*g - h*g = -9. Is -19\/2 smaller than g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 42 = -6*q - 5*w, -42 = -5*q - w. Suppose 4*t - 12 = q*t. Let u be (-3 - -7 - 3) + t. What is the second biggest value in -3, u, -1\/5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20786942 to the power of 1\/4, to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 16309*y - 81538. What is t(5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 29283626, 58567253, 87850880, 117134507, 146418134, 175701761?\nAnswer: 204985388","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c + 15 = 5*x, 3*x = c + 18 - 23 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*w + 56 + 614*w**3 - 56 + 406*w**3 + 5*w - 1027*w**3.\nAnswer: -7*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k**2\/5 + 8*k\/5 = 0.\nAnswer: 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 6573\/441 + 4\/42. Suppose n*m = -635 + 7475. List the prime factors of m.\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -42*c**2 - 17*c + 41. Let l(q) = -41*q**2 - 15*q + 32. Determine 4*i(w) - 5*l(w).\nAnswer: 37*w**2 + 7*w + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 58, -3, -1482.\nAnswer: -1482, -3, 58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 4510 from 0.00462475.\nAnswer: -4509.99537525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1345 is divided by 23?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in nine fourteenths of a week?\nAnswer: 108","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 768272 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -10*g**2. Let r(o) = 427*o. Calculate r(l(n)).\nAnswer: -4270*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 126 and 896.\nAnswer: 8064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 33138, 66260, 99402, 132564?\nAnswer: 165746","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 151205 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 16 = -0. Let o be 15\/60 - (-63)\/4. Suppose -f*v = o, -5*z + 3*v = -2*z - 21. Solve -z*u - 6 = -18 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.43 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z - 15 - 40 = 5*y, 4*z + 154 - 93 = -3*y for y.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7225 = 4187*c - 3898*c for c.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/68 - 467377\/(-12988)?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -428 - 788 = -4*k. What is the units digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 107 a factor of 4815?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 987353327 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0 + 18 + 5 + -7. Suppose 2*z = 4*z - d. Let a be -6*((-3)\/2)\/1. Which is smaller: z or a?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -79864, -319470, -718818, -1277908, -1996740, -2875314, -3913630?\n\"Answer: -79871*f**2 + 7*f","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -18*r + 6. Let i(u) = -15*u + 5. Let f(q) = -6*d(q) + 7*i(q). Determine f(4).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) 2 (b) 0.075 (c) 5 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.36, -7, 3, -0.1, 2\/7 in descending order.\nAnswer: 3, 0.36, 2\/7, -0.1, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 - ((-24 - -46) + -4 + -11 + -75)?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*y + 42 + 70 = 0. Suppose 4*g + 3 = -5*x, -3*g + y*g = 5*x + 30. Factor -6\/5*v + 0*v**2 + 3\/5 + 6\/5*v**g - 3\/5*v**4.\nAnswer: -3*(v - 1)**3*(v + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(39)\/(sqrt(75) + sqrt(3)) - (2 + sqrt(325))**2.\nAnswer: -329 - 119*sqrt(13)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 92484 and 252?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n**3 - 5*n**2 - 7*n + 11. Suppose 0*g + 120 = 20*g. Determine v(g).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.265 to two dps.\nAnswer: -2.27","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-3\/5))**(11\/3)*g**(2\/5)*g*g**(-23\/3) assuming g is positive.\nAnswer: g**(-127\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 865?\nAnswer: 5, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sf when two letters picked without replacement from {w: 4, f: 2, d: 6, c: 1, s: 4, z: 1}?\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -9923, -19499, -28723, -37595, -46115?\n\"Answer: 176*k**2 - 10104*k + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -9 times 0.118922\nAnswer: -1.070298","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/(1 + 0) - 0. Let p = 44 + -26. Let o = 751 + -751.2. Sort m, p, o in increasing order.\nAnswer: m, o, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*p**3 + p**3 - 2*p**3 + (0*p**2 - p**2 + 0*p**2)*(4 + p - 4) - 2*p**3 - 1 + 1)*(p + p + 0*p)*(3 - 2 + 1).\nAnswer: 8*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -4452.9072 rounded to the nearest 10?\nAnswer: -4450","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -62, 19\/21, 0.2, -0.4.\nAnswer: -62, -0.4, 0.2, 19\/21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 137 - 26 - 283 = 3*n + 32*o, 31 = -4*n - 3*o for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is u in 4*u**4 - 11754656*u**3 + 8635851896152*u**2 - 155442477760992*u + 699486865378596 = 0?\nAnswer: 9, 1469323","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 22147, 22159, 22173, 22189?\nAnswer: 22207","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -116, -101, -74, -29, 40, 139, 274, 451?\n\"Answer: l**3 + 8*l - 125","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20622*c**2 + 1289*c**2 - 467*c**2.\nAnswer: -19800*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-528)\/(-374))\/12 + 4\/(-102)*3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 21*i**4 + 90*i**3 - 696*i**2.\nAnswer: 3*i**2*(i - 4)*(7*i + 58)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -2471*z**3 + 2119*z**2 + 5*z. Let h(u) = 1235*u**3 - 1060*u**2 - 3*u. Let k(y) = -5*h(y) - 3*l(y). Find the third derivative of k(j) wrt j.\nAnswer: 7428","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2.7 - 0.4. Let h = 3 + z. What is the third smallest value in -3\/4, h, -0.3?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (24\/(-3))\/2 + (0\/7 - -10).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(3\/6))\/((-20)\/(-6))?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7851 and 21632122.\nAnswer: 2617","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w**3 - 3*w**3 + 2*w**3)*(-2 + 2 + 1 + (2 - 2 - 2)*(-1 - 2 + 2) + 2 - 1 + 1)*(5 - 4 - 3).\nAnswer: 20*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the first derivative of n**3 + 3*n**2\/2 + 6*n + 24. Let o(z) = z**2 + z + 1. Calculate -l(k) + 4*o(k).\nAnswer: k**2 + k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 138, 143, 152, 165, 182, 203, 228?\nAnswer: 257","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 233*g - 2385. What is n(10)?\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -808*w**4 - w + w**3 + 805*w**4 + 4*w**3 - 3*w - 4 - 3*w**3 as c*w**3 + y*w**2 + d + t*w + z*w**4 and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ntnnnnnnnnnttnnnnnt. What is prob of sequence nnn?\nAnswer: 455\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 311357 (base 10) to base 16.\nAnswer: 4c03d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + sqrt(26)\/sqrt(2))**2 - sqrt(13) - sqrt(13))*2.\nAnswer: -12*sqrt(13) + 34","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1622607723.\nAnswer: 3, 11, 101, 162277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 e when three letters picked without replacement from {e: 9, j: 5}?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 24573176791 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3054033686 and 1342.\nAnswer: 1342","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*n = 98*n - 154 - 314. Sort -0.06, n, -5, 0 in ascending order.\nAnswer: -5, -0.06, 0, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - n**3 - 1 + (0*n + 0*n + 2*n**3)*(1 + 1 - 1) + 63*n - 6*n**3 - 63*n.\nAnswer: -5*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1 - -1010111010000110011111?\nAnswer: 1010111010000110011110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2418323 - -8023995649\/3318. Calculate the common denominator of n and 4\/3.\nAnswer: 3318","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -965*0.789\nAnswer: -761.385","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Total of 2007 and 81.\nAnswer: 2088","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 18*o*w**5 - 697*o*w**3 - 3200*o + w**2 - 4*w - 2 wrt w?\nAnswer: 360*o*w**3 - 4182*o*w + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6 (base 7) to base 6.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1338151?\nAnswer: 19, 70429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -8*x - x + 33*x + 8*x + (5*x - 2*x - 2*x)*(16 + 13 + 104).\nAnswer: 165*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 455520 by -22776.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34068468.\nAnswer: 2, 3, 7, 405577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x**2 + 18*x - 13. Let h be n(12). Let t be h - (7 - -3 - 5). Let m = t - -577. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 4*l = -l - 12, -5*l = -4*n + 16. Let b be ((-8)\/(-14))\/n*1. Let h = -1\/4 + 1\/12. What is the nearest to 0.1 in h, b, 2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 2*c - 40. Give s(7).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8 + -5. Let l(v) = v - 2. Let y be l(3). Let b = 0 + y. Solve -2*h + i = -7, h + b = -j*i + 15 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 85*c - 84*c - 33 = 0. Is 11 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-1\/5)\/j**10)**(1\/7)*(j*j\/(j*j*j**(-2))*j)\/(j*(j\/j**(-2\/7))\/j*j)*j**8\/j**(-2) assuming j is positive.\nAnswer: j**(324\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4582 is divided by 1389.\nAnswer: 415","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 2853546 divided by -6\nAnswer: -475591","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(1584) + 3)*3 - 1*sqrt(1584)*4)**2 + (-5 + sqrt(1584) + 0 + -5 + 5*-1*sqrt(1584))**2)*-4.\nAnswer: -108436 - 2976*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 + 1314740?\nAnswer: 1314740.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 2*h**2 - 149*h - 16317. Give i(135).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v*((v**3\/v)\/v)\/v*v)**(-2\/59))**(-16) assuming v is positive.\nAnswer: v**(96\/59)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2028359 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = -0*u - 4*o + 12, 0 = 5*o - 15. Suppose u = -2*k - 5*w, w - 8 = k - 3*k. Solve k*r + 16 = 2*n - 0*n, -n + 18 = -5*r for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 93\/54610 and -105\/1118.\nAnswer: 709930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*j + j + 3*j)*(j - 2 + 2) - 4 + 4 + j**2 + (91*j + 43*j - 36*j)*(1 + 3 - 1)*(3*j + 0*j - 4*j) to the form h*j + u*j**2 + t and give u.\nAnswer: -291","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 26 - (-947 + 1054).\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c + 8 = -3*j, 4*c - 3462*j + 12 = -3464*j for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -z**3 - 3*z**2 - 5*z - 4. Let x be d(-2). Let m = 2469\/1760 - 1\/352. Which is smaller: x or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000014741 rounded to 7 decimal places?\nAnswer: 0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -474349718 + 474349718 - 15*g.\nAnswer: -15*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4 - 0. Let a = -11 - -19. Let z = 0 + 0. Solve a = v*f - z*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7 - -7) + -6 + 1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 17647336 + 97.79?\nAnswer: 17647433.79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -1 + -1 - 0 - (-8 + 1448)\/(-45). Solve b*w - 48 = 14*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -29*s**2 - 50*s + 10. Let k be f(-21). Let c = -3271 + k. Let g be (4\/(-6))\/(10\/c). Round g to the nearest 10000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, 0.2, -0.48 in increasing order.\nAnswer: -10, -0.48, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 13*u + 20. Let c be p(-4). Let b = -30 - c. Let d(h) = -102 - 106 + 201 - h**b - 8*h. Determine d(-5).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3 - -12)*(-8)\/(-12). Let w be 3\/(-9) - (-98)\/o. Suppose 4*u = -0*u + w. Solve -l - u = -2*l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-34)\/((-1530)\/(-27)))\/(5\/1100*11)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g**2 - 39*g - 322. What is k(-10)?\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0, 6, 535, 2, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 12\/(-16)*(-7 - -3). Let h be 2\/8 - (-57)\/12. Suppose 0 = r*w - h*w + 28. Calculate the greatest common divisor of 14 and w.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 25019 to the nearest integer?\nAnswer: 158","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 32 and 1088.\nAnswer: 1088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2 - 2)*(a + 3*a - 3*a) - a + 0*a + 0*a - 2*a + 2*a - 4*a + 80 + 20*a - 80.\nAnswer: 12*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2948 divided by -67.\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -56 + 0\/((-9)\/(-3)). Let u be (-2)\/(-14) + 8\/r. Let a(v) = -v**3 + 499. Is a(u) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -8129, -2.\nAnswer: -8129, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (39\/3 - 0) + 0. What is the second derivative of a*u + 16*u - 31*u - 3*u**5 wrt u?\nAnswer: -60*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 404767\/40 or 10119?\nAnswer: 404767\/40","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Is 32869 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 36*t - 15*t + 33*t + 0 - 2*t + 0 + (2 - 1 - 2)*(4*t - 3*t - 2*t) - 6*t + 5*t - 10*t.\nAnswer: 42*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -15 or -622412?\nAnswer: -622412","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/5 of a meter in centimeters?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 23.96 + 111.74. What is f rounded to the nearest 10?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 266269900 rounded to the nearest one million?\nAnswer: 266000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d = 3*h - 13 + 8, 5*h - 15 = -5*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3\/13180 + -481103\/144980. Let o = 2\/271 - 1383\/3794. What is the common denominator of o and j?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the third derivative of -q**7\/70 - 3*q**6\/40 - q**5\/20 + 3*q**4\/8 + q**3 + 3*q**2 + 25*q. Factor v(f).\nAnswer: -3*(f - 1)*(f + 1)**2*(f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 - 57 = -26*x. Suppose -x = 13*n - 68. Let v(u) = -u**2 + 5*u + 5. What is v(n)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*w - 30 = -5*w for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 76087 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -50*y**6 + 5*y**4 - 9*y**4 + 13*y**2 + 4*y**4 wrt y?\nAnswer: -6000*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b + 18. Let t be y(-14). Suppose 55 = -3*h + 2*w - t*w, -4*w + 26 = -2*h. Let k = h - -22. Calculate the greatest common divisor of 5 and k.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37045883 to the power of 1\/5, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1712617 is divided by 28.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 38793 or 38786?\nAnswer: 38793","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5 - 220602086?\nAnswer: -220602102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 - (77 + -57 - (6 + -2 + 2))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2509 - 2678 = -724108*h + 724275*h - 845 for h.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0 (b) 7948.3 (c) 3 (d) -0.05\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 97837 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -62 and -0.471?\nAnswer: 61.529","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3180 and 0.04.\nAnswer: 127.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 365\/2 - (-2)\/(-4). Let g(s) = 2*s**3 + 95*s**2 + 27*s - 926. Let j be g(-47). What is the highest common factor of j and z?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 204 minutes after 3:34 PM?\nAnswer: 6:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 2*a**2 - 7*a - 7. Let q be 33\/6 + (-3)\/(-2). Let v be p(q). Calculate the highest common factor of v and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 245 - 465. Let m = j - -224. What is the highest common divisor of 12 and m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -151 + 251. What is the highest common divisor of z and 320?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate u**3 - 11*u**2 + 40*u - 88814 wrt u.\nAnswer: 3*u**2 - 22*u + 40","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((6*(sqrt(32)\/sqrt(2))\/sqrt(4))\/(-2*sqrt(1152)))**2 + 2 + 4.\nAnswer: 225\/32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -378344\/9 + 42242. Which is smaller: 204 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the first derivative of -a**4\/2 + 43*a**3 - a**2 - 256*a - 2461. Find the second derivative of k(q) wrt q.\nAnswer: -12*q + 258","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2595*o - 34828 = 4814 + 2041 + 12812 for o.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 272 = -w. Suppose -20 + w = p. Is p a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1292322 is divided by 430767?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -10 + 6. Let q = s - -5. What is the nearest to 1 in -2\/3, q, 2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, -1266\/23, 5, -5.\nAnswer: -1266\/23, -8, -5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -13 and -1.812890637?\nAnswer: 11.187109363","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11 - -100100010?\nAnswer: 100100101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -3*p + 0*p - 5*p + 1 - p + 3. Let a(o) be the second derivative of -37*o**3\/6 + 17*o**2\/2 + 49*o. Give 2*a(k) - 9*y(k).\nAnswer: 7*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 174156 divided by 138\nAnswer: 1262","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 42 and 750?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:37 PM and 4:14 AM?\nAnswer: 457","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -91 (base 14) to base 7\nAnswer: -241","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -110*u. Let c(g) = -10*g**2. Give c(t(l)).\nAnswer: -121000*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 2*v**3 - v. Let n(o) = -o**2 - 11*o - 12. Let a be n(-10). What is d(a)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the first derivative of -y**6\/360 + y**4\/24 + 5*y**3\/3 - 8. Let u(b) be the third derivative of c(b). Calculate u(-3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*s + 28132 = -2540. What is the hundreds digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j**2 - 117*j - 141. Determine d(118).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r + 119 - 127 = 0 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 25288086?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 530258?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(-4)*4*6\/(-48).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 135575 to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -341 - -1054. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 43 is divided by 22?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 14*l + 356. Determine p(-35).\nAnswer: -134","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-1)\/b)**45\/(b**(-2\/5)\/(b*(b\/(b**(-1\/16)\/b))\/b)) assuming b is positive.\nAnswer: b**(-7003\/80)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in -1, -9\/11, -2879?\nAnswer: -9\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5.5 + 5.5065. Let h = j - 34.3065. What is h rounded to the nearest ten?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2272\/1065 - 18\/(-24)*(-28)\/9.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*w + 1500 - 420. What is the highest common factor of w and 60?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -54 - -97. Calculate the remainder when f is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20729615 is divided by 7153.\nAnswer: 221","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = 5*y - 40, -5*f - 4 - 1 = 4*y. Suppose -2*v - 22 = l - 5*l, 4*v + 11 = -3*l. Suppose 2 = -l*d - 4. Sort 0, y, d in increasing order.\nAnswer: d, 0, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 36*i. Let d(o) = -298*o. What is l(d(x))?\nAnswer: -10728*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -32501*c**2 - 4*c - 4. Let p be 0 + (-8)\/12*(-2 + 5). Let y be s(p). Round y to the nearest 10000.\nAnswer: -130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 36\/(-24)*(453 - -1). Let r = z + 1010. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is p in -p**3\/3 + 834*p**2 + 137971*p\/3 + 45156 = 0?\nAnswer: -53, -1, 2556","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*q**2 - 9 - 1074*q - q**4 - 1177*q - q**3 + 2273*q as u*q + y*q**3 + n*q**2 + x*q**4 + s and give n.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 288?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 678267791?\nAnswer: 389, 1171, 1489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (0 - 7\/3)*3. Let t(o) = -8*o - 7. Let k be t(w). Suppose -3*j = 5*a - 71, -k = -6*a + 2*a - 5*j. What is the remainder when 30 is divided by a?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 33 - 29. Suppose -12*b + y*b + 16 = 0. What is the third derivative of 14*a**2 + 17*a**3 - 9*a**2 - b*a**2 - 8*a**2 wrt a?\nAnswer: 102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 62428451?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -10\/44181 or 1?\nAnswer: -10\/44181","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(180)*6*3.\nAnswer: 108*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -15 (b) 123 (c) 1 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-5*((-2*sqrt(153) + sqrt(153) - sqrt(153))*6 - sqrt(153)))\/(sqrt(144)*2 - -2*sqrt(81)) + -4.\nAnswer: -4 + 65*sqrt(17)\/14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that 4 - 6\/5*j**2 + 58\/5*j = 0.\nAnswer: -1\/3, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7518 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 5494291 rounded to the nearest one million?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 65\/4, 263, 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 divided by 6039.\nAnswer: 1\/549","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.02 and -117.\nAnswer: -2.34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11729452.\nAnswer: 2, 7, 418909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -33480 + 46893. What is y rounded to the nearest 1000?\nAnswer: 13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w**3 - 7*w**2 - 4*w - 4. Let z be (-19)\/3 - -1 - (-1)\/3. Let d(q) = -q**3 - 8*q**2 - 5*q - 5. What is z*t(h) + 4*d(h)?\nAnswer: h**3 + 3*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g**3 - 9*g**2 - 8*g + 2. Calculate k(10).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 215*b + 8820 = -776*b - 269*b for b.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11453?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -15.00006 - -15. What is l rounded to four decimal places?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7865\/(-275) + (-42)\/(-70).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -69*f + 8*f + 108 = -7*f. Solve a = f*c + 5, -4 = -24*a + 28*a for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1706281280?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g = 2*g, -5*o + 5*g = 15. Find the common denominator of -32\/9 and ((-2)\/(-12))\/(o*3\/414).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s**4 - s**3. Suppose -4 = -2*c + 4. Let g(i) = -7*i + 12*i**2 + 0 - i + 2 - 6*i**3 + c*i**4. Let r(q) = -g(q) - 2*w(q). Factor r(y).\nAnswer: -2*(y - 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2346.\nAnswer: 2, 3, 17, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 24148044 and 26831160?\nAnswer: 241480440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = 4*s + 32, 0*s = 5*s + 2*o + 5. Let i be 315\/(-1050)*4\/3. What is the closest to i in -0.1, -5, s?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2386907*w**3 - 66935*w**2 + 21*w.\nAnswer: -14321442","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 3894?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 34 + -3. Let z = s + -56. Let y = -24.932 - z. What is y rounded to 2 dps?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00121477555 rounded to five dps?\nAnswer: -0.00121","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uu when two letters picked without replacement from {j: 2, u: 4}?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*h + 37 = -9 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -143091*o. Let p(n) = 343*n + 1. Calculate p(d(y)).\nAnswer: -49080213*y + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g**(2\/7)\/g)**37)**21*(g\/g**(-2\/9))**(-8\/7)\/(g*g**(-1\/2)*g)**(1\/6) assuming g is positive.\nAnswer: g**(55529\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 14310?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z*z**(3\/11))*z*z\/(z*z*z*z**(6\/13))*z)\/(z\/(z**(-2\/7)\/z))**(-4\/11) assuming z is positive.\nAnswer: z**(97\/1001)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*p**2 + 2*p**3 + 4*p**4 + 2*p**2 + p**2 - p**3 + 1 to the form s*p**3 + k + q*p + b*p**2 + i*p**4 and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.6414624l?\nAnswer: 641.4624","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 7*j**2 - 4*j**2 + 2*j**2 + 7*j**2. Let z(p) = -2*p**2. Calculate u(z(f)).\nAnswer: 48*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in -2.4, 4\/5, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -8712.7 minus -7202277?\nAnswer: 7193564.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*c - 3*k - 402, k = -4*c - 2*k + 390. Calculate the highest common divisor of 9 and c.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 15*i - 1. Let f be u(1). Suppose 5*t + f = 2*n, t + 3*t = n - 1. Calculate the smallest common multiple of n and 6.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1 + 7)*(-10)\/(-4). Suppose 0*f - 3*f + k = 0. Differentiate -2*o**2 - f*o + 5*o + 1 with respect to o.\nAnswer: -4*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 7193653?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-267)\/1157 - (-4)\/(-39))*0. Sort t, -86, 2, 7.\nAnswer: -86, t, 2, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 388815633.\nAnswer: 3, 4800193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (i**3 - i**3 + i**3)*(-2*i + 3*i - 3*i) + 7*i**4 + 10*i**4 + 0*i**4 in the form d*i + t*i**2 + l*i**3 + r + w*i**4 and give w.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 95 + 79 = 0. What is the remainder when 93 is divided by y?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.2 + 0. Let t be 6\/(-21) - 4\/(-14). Let i = 7 + -7.4. Sort i, t, v in increasing order.\nAnswer: i, t, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -x. Let d(y) = 4*y**2 - 9. Calculate d(z(p)).\nAnswer: 4*p**2 - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2712 or -2711?\nAnswer: -2711","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11562 - 17*n + 11*n + 2*n + n + 11557.\nAnswer: -3*n - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -c**2 + 18*c + 74. Suppose 7894*k - 374 = 7877*k. What is q(k)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*b**2*x - 1903*b**2 - 31*b*x - 4*b - 11630707*x wrt b.\nAnswer: -4*b*x - 3806*b - 31*x - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 183 is divided by 67.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 99116 to the nearest integer?\nAnswer: 315","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -31\/256 and -99\/25594784.\nAnswer: 204758272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + w + 10 = 0. Solve w = 6*o - o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 2555, 0, -2, -3 in ascending order.\nAnswer: -3, -2, 0, 1, 2555","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 5*w**2 + 6*w + 10. Let h(i) = -i**2 + i - 1. Let t = 3 - -3. Let b(u) = t*h(u) + l(u). Let g be b(10). Solve 9 - g = 3*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1513 (base 7) to base 16\nAnswer: 256","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8 - -6. Let v be -1 + 0 + s - 1. Let y = v + 6. Calculate the remainder when 4 is divided by y.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -8*d**2. Let t(i) be the second derivative of -i**6\/360 - i**3 - 4*i. Let k(b) be the second derivative of t(b). Give r(k(s)).\nAnswer: -8*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 781, 1775, 2753, 3709, 4637, 5531, 6385, 7193?\n\"Answer: -t**3 - 2*t**2 + 1007*t - 223","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 26b (base 13) to base 15\nAnswer: 1d7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 185 minutes before 2:07 PM?\nAnswer: 11:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 982*d - 2*d**4 - 3*d**3 - 975*d - d**2 + 2*d**3 + 4 to y*d**2 + f*d**3 + m*d + c + k*d**4 and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 2*z + 0*z - 22 = 0, 2*z = -3*k + 33. Let y = k + 25. Suppose -4*n - 4 = -y. What is the units digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 9, x: 7, q: 2}. Give prob of picking 1 w and 2 x.\nAnswer: 63\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 347955 a multiple of 271?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 990*f**2*v**2 + 2*f**2*v - 6808*f*v wrt v.\nAnswer: 1980*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: ((-22)\/(-44))\/((-8)\/12)\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -313 - 0.03.\nAnswer: -313.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -245849681 divided by 3192853.\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 40 + -135. Let t = y + 183. Is t a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 31*w + 11. Let p(m) = -11*m - 4. Let c(n) = 6*k(n) + 17*p(n). Let v(j) = j + 1. Let g(z) = 4*c(z) + 3*v(z). Determine g(-3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -544669\/10 - -54467. Factor l*d**5 + 0 - 2\/5*d**2 + 1\/5*d**4 + 2\/5*d - 3\/10*d**3.\nAnswer: d*(d - 1)**2*(d + 2)**2\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -a**3 + 4*a**2 + a - 8. Let t be l(4). Let x be 15\/7 + t\/28. Let h(j) = j**2 - j**x - j**2. Let n(z) = 6*z. What is h(n(v))?\nAnswer: -36*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1832056475?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -192, -1, -2, -5, 4.\nAnswer: -192, -5, -2, -1, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, h: 5, x: 1, r: 3, o: 4}. What is prob of picking 1 x and 1 h?\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00004879 to 5 dps.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 8630 or 8629?\nAnswer: 8630","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -101948*d + 269634 wrt d.\nAnswer: -101948","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 13 = -5*p, 0 = -j + 4*j - 5*p - 1. Solve -3*a + 12 = 2*n, j*n + 0*n = 5*a - 4 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39 + 56 = -t, -39 = -3*v + 3*t for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 164109944 - -1185\nAnswer: 164111129","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -196100*b**3 - 237762*b.\nAnswer: -1176600*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/3*4752\/25344.\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, 1548, 2, 438.\nAnswer: -0.4, 2, 438, 1548","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -7642, -7634, -7628, -7630, -7646, -7682, -7744, -7838?\n\"Answer: -m**3 + 5*m**2 - 7646","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 + 3 + 1 - 1 + 1 + (-4 - 1 + 4)*(1 + 5 - 4) + 2 + 1 - 2)*(-o + 3*o - 3*o).\nAnswer: -4*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2.3 and -8.\nAnswer: -18.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00422 rounded to 3 decimal places?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*m**3 + 6*m**3 - m**3 + (1 - 1 + m)*(m**2 - 4*m**2 + 2*m**2) - 1 + 1 - 3*m**3 - m**3 - m**3 + m**3.\nAnswer: 2*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 4*h + 3. Determine t(-4).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 406734?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + 6*(-6*(sqrt(475) + 1)*5 + 2))**2.\nAnswer: 300600*sqrt(19) + 15417889","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3763 = -t - 98*t + 46*t. Let q = 23 - 15. What is the remainder when t is divided by q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1188124980 by -237624996.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*x + 4 + 32. Suppose -13 - x = -5*u. Solve -u*s + 13 = 2*g, -3*s + 4 = -2*s - g for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -63*d + 4*p = -60*d - 18, d = p + 5 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -26*r**2 + 5*r**3 + 21*r**2 + 13*r**2 - 16*r**2 as m + c*r + d*r**2 + i*r**3 and give i.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 48\/379?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111 + -10101001111111000?\nAnswer: -10101001111110001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -160 by -4.\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 51 is divided by 22?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 10*p**2. Let v(x) = -38*x - 41 + 64 + 17*x + 19*x + 45. Give b(v(f)).\nAnswer: 40*f**2 - 2720*f + 46240","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**8)**(-24)\/(z**(9\/2)\/z*z)**(-29) assuming z is positive.\nAnswer: z**(-123\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2045?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.641993362 to 5 dps.\nAnswer: -0.64199","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -9*u + 149. Determine b(16).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + 0 + sqrt(242) + (-1 + sqrt(242))*-6 - (-3*(-2 + sqrt(242)) - (sqrt(242) + -2 + sqrt(242)*1)))**2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 43010387977 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31330 is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 22 and 5613302?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6 + 0 + 6)*(0*i + 0*i + i)*(-10*i**3 - 7 + 7) to the form h*i + g*i**3 + o + k*i**2 + c*i**4 and give c.\nAnswer: -120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 26\/7 (b) -21 (c) -0.088 (d) 1 (e) -5 (f) 3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 z when three letters picked without replacement from {v: 3, z: 3, l: 1}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2588*l + 2586*l = 2*p - 16, -2*p - l + 10 = 0. Solve 14*h + 8 = -2*n + 12*h, 4*n + p*h = -10 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that -3*j**2 - 270*j - 1512 = 0.\nAnswer: -84, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 222011 + 1?\nAnswer: 222012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22708 is divided by 11141.\nAnswer: 426","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3\/9 + (-52)\/(-6). Let d = -20 - -25. Suppose 3*u - 12 = 0, -z - d*u + 4 = -5*z. Solve -g = -z*m - 29 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1762 + -1620. Solve 5*z - 157 = -q for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xvxax. Give prob of picking 3 x.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 161 = p - 67, -967 = -4*p - 3*t. Does 7 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 29 + 11 = 4*g, g = -5*h + 6. Suppose 0 = -u + 4*f + 5, -4*f = -h*u + 6*u. Let s = -12.21 - -0.21. Which is greater: s or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 40967 is divided by 40952.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 3*m - 3. Let q be j(-1). Let x(d) = d**2 + 1. Let g(u) = 5*u**2 + 6. Let i(y) = q*x(y) + g(y). Let w(r) = 31*r. Determine i(w(c)).\nAnswer: -961*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 2*d - d + 2*d - d**2 - 2*d. Let q be b(0). Suppose -5*a + k + 15 = 0, 4*a + 0*k - k - 12 = 0. Solve -3*t = -5*z + 3, -a*z = -2*t - 1 - q for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.03 + 0.15. Let v = -0.32 + t. Which is the closest to -1? (a) v (b) 7 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12 - 34*d - 12 + 35*d + 394*d**2.\nAnswer: 394*d**2 + d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 26*w + 30. Let t be l(-3). Let c = t + -37. Let h = c + 112. Does 5 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 24 = 6*s. What is the lowest common multiple of 16 and 9\/(14\/s + -1)?\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10\/(-4)*8\/10?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 15\/1417 or 0?\nAnswer: 15\/1417","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/19 in 0.4, 0.2, 1.1, -5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve m + 4 = 15401*o - 15406*o, 2*o = 9*m + 36 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1800378*t**3 + 3739912*t?\nAnswer: 10802268*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7378?\nAnswer: 2, 7, 17, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 483906 is divided by 123?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2976924?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -750.83 + -1726941.1474.\nAnswer: -1727691.9774","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/w**3)\/w*(w\/w**(2\/17))\/w*w**(3\/5)\/(w\/(((w**(3\/14)*w)\/w)\/w)*w) assuming w is positive.\nAnswer: w**(-6311\/1190)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*c = 3*c - 2*v + 1820, -3*c + 1367 = v. What is the hundreds digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 75 is divided by 21?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-4)\/24)\/(1\/(-786)). Solve f*g = 138*g + 7 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/2720625 at most -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 82292141 less than 82292141?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 7771*g**2 + 7362*g - 3681. Let l(i) = 2*i**2 + 2*i - 1. Calculate 7362*l(u) - 2*q(u).\nAnswer: -818*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 3211930850 to the nearest 1000000.\nAnswer: 3212000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (18\/(-104))\/((410\/(-492))\/(10\/9))?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -7*v**3 + 5*v**2 + 3*v - 2. Let m(p) = 21*p**3 - 14*p**2 - 8*p + 6. Calculate -8*l(j) - 3*m(j).\nAnswer: -7*j**3 + 2*j**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + o = 47, 53 = 3*q - 9*o + 4*o. Suppose 5*u - q = 29. Let v(h) = -2*h**2 - 11*h - 3. Let y be v(-5). Solve y*j = -j + u for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-18 - 20\/5)*-1. Calculate the highest common divisor of 44 and s.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -18*v + 17. Let g be f(-7). Let n(y) = 2*y**3 - 28*y**2 - 203*y - 10. Let l be n(-5). What is the highest common divisor of l and g?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 53 + -51. Calculate the smallest common multiple of a and 9.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the third derivative of -k**5\/15 + 7*k**3\/3 - 438*k**2. Let v(g) = -7*g**2 + 27. Calculate 11*j(i) - 6*v(i).\nAnswer: -2*i**2 - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/3 + (-23 - (-3 - 8)) + (-13 - -5)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -5*a**2 - 357*a - 1321. Calculate k(-4).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -184 = 4*c - 192. Let n(y) = -23*y - 2. What is the least common multiple of n(-2) and c?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4084 to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 287 + -177. Let n = 109.8 - y. Is -27 less than n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 147*f - 218. Let u(t) = 293*t - 431. Let w(r) = -11*n(r) + 6*u(r). Differentiate w(v) wrt v.\nAnswer: 141","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 199 is divided by 190.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -9*q**2 - 1683*q - 6798. Let s(m) = -10*m**2 - 1678*m - 6804. Let n(u) = -6*c(u) + 5*s(u). Find o, given that n(o) = 0.\nAnswer: -423, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -39*z**2 + 99*z**2 - 26*z**2 - 36*z**2. Let r(x) = -12131*x**2 + x. Determine r(h(k)).\nAnswer: -48524*k**4 - 2*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 37 + 4 + 0 + 1. Calculate the highest common divisor of d and 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + q - 60 = 0. Suppose q = -4*y, 3*y = -4*m + 8*y + 29. What is the units digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t = -3*t - 3. Let s be (t\/2)\/(-1 - -2). Let l = 37 + -41. Which is greater: s or l?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6756*g**6 - g**5 - 2*g**3 - 25*g**2 - 13831*g wrt g?\nAnswer: 810720*g**3 - 60*g**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -5*s**2 + 2. Let k(q) = 5*q**2 - 3. Suppose 103 = -28*c - 9. Determine c*b(a) - 3*k(a).\nAnswer: 5*a**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -61, 8, 4.\nAnswer: -61, 4, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 111011 (base 2) in base 15?\nAnswer: 3e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4645 + 4649. Which is the second biggest value? (a) -1\/2 (b) -2\/13 (c) y (d) -0.4 (e) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 - 256679*u**4 + 513381*u**4 + 22*u**2 - 256690*u**4 in the form s*u**3 + g*u**4 + i*u + a + q*u**2 and give g.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 522 - 554 - (-1 + -3).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*i - 3*d + 468, 126 + 150 = 3*i + 3*d. What is the least common multiple of i and 40?\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 + 34 = -6*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 2360 = 3*w + 2*w, 0 = -3*z - 4*w + 1423. Suppose u - z = -2*b - 45, b = 4*u + 196. List the prime factors of b.\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -159587306172 and -5956.\nAnswer: -159587312128","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in c**2 + 31*c + 3*c**2 - 31*c.\nAnswer: 4*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 6 = 2*a, 5*w - a - 22 = -3*a. Suppose 2*z + 4 = 3*z. Find the third derivative of u**5 + 27*u**4 - 27*u**w - z*u**2 wrt u.\nAnswer: 60*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r**2 + 88*r - 518 = 0 for r.\nAnswer: 7, 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 54701*-4.\nAnswer: -218804","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*m**3 + 10*m**2 + 6 + 0*m**3 + 178*m - 180*m + 2*m**2 - 2*m**4 in the form n*m**4 + c*m**3 + h + r*m**2 + t*m and give r.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yyyyyyyjjjyyjyjyyy. What is prob of picking 4 y?\nAnswer: 143\/612","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u**2 + 14*u + 55. Let r be y(-10). Suppose 0 = 3*l + 40 + 2. Let j be (-36)\/(-21) - 4\/l. Solve -3*v + r = -3*c, j*v = -2*v - c - 5 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -11*v + 2825. Let x(c) = 7*c - 1416. Give -3*t(f) - 5*x(f).\nAnswer: -2*f - 1395","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -10 + (-82 - (48 - 128))\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 3*m = 72, -2*j - 5*m = -6*m - 42. Suppose 0 = 3*h + 5*y - 16, 4*y - 20 = 2*h - 5*h. What is the remainder when j is divided by h?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4706 and 41754166?\nAnswer: 362","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -2\/3 (b) -1\/4 (c) 0.3 (d) 2\/3 (e) -14 (f) -394 (g) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -1, 0, 67 in increasing order.\nAnswer: -1, 0, 4, 67","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ovv when three letters picked without replacement from vov.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -634*f - 5621 - 10141 = 5160 for f.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 19 - 13*s**3 - 79*s - 77 - 73*s + 152*s as g*s + b + d*s**3 + c*s**2 and give d.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = n, -3*n + 0*n - 20 = -4*y. Suppose -y*u + 0 - 16 = 0. Is 111\/2 - (-4)\/u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 366 minutes before 6:05 AM?\nAnswer: 11:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-12)\/(-60) - 71\/(-20))\/3. Let f be (-7 - (-3)\/3)\/((-8)\/10). Solve -o*s**2 - 45\/4 + f*s = 0 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 874678.9kg?\nAnswer: 874678900000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 x when two letters picked without replacement from fffmmxfxffffmfmmffff.\nAnswer: 13\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22 divided by -585.\nAnswer: 22\/585","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 24 + -30. Let u be (27\/g)\/9*2. Does u = -9\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 52 (base 8) to base 7\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4582754 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -2926 to the nearest one hundred.\nAnswer: -2900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -16026 (b) 0.3 (c) 4 (d) -0.03\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-132)\/(-6) + -1 + 4. Suppose -6*a + w = -a. Suppose 20 = 4*i - 3*k, 4*i - a = 3*i + 4*k. Calculate the highest common factor of i and 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 173*l - 170*l - 21 = 0 for l.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -71 divided by 27?\nAnswer: -71\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.8 in 48, -4\/5, 0, -5?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14773*r + 14768*r - 29541*r + 7*r**2.\nAnswer: 7*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 14.7 + -14.9. What is the biggest value in 5, 2\/3, r, -12?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -7997724, -7997727, -7997732, -7997739?\n\"Answer: -y**2 - 7997723","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -12*d - 2. Let n = 18 - 13. Let z = n - 7. Let g be f(z). What is the highest common divisor of g and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 187924546*c**2 + 107726595.\nAnswer: 375849092*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3940381?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -588 - 10c0?\nAnswer: -1668","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the third derivative of 0*c**3 - 1\/80*c**5 + 0*c + 0*c**4 + 28*c**2 + 0. Factor q(p).\nAnswer: -3*p**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 967890 and 1030740.\nAnswer: 79366980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1 (b) -2\/13 (c) -1\/2 (d) 6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = c - v - 2520, 11*c - 6*c = -v + 12642. Calculate the greatest common divisor of 14 and c.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x and 1 r when three letters picked without replacement from {x: 2, r: 4}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1\/38 - -13\/228. Let u = 1 + 2. Suppose -5*x = f - 13 + 4, -3*f + 5*x + 7 = 0. Put t, f, u in increasing order.\nAnswer: t, u, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 4*q - 24 = 0, -3*j + 5*j + 4*q - 18 = 0. Let a = -81 + 84. Let z be (-9 + 7 + a)\/((-2)\/(-4)). Solve 5*k = -z*h - 21, -h - 15 + 3 = j*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 120846*m**2 - 52*m - 23365799 wrt m.\nAnswer: 241692*m - 52","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 850*a + 68876. Give h(-81).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-45)\/(-6)*(10 - (-2222)\/(-220)))\/(27\/(-24))?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 129344000 or 129344002?\nAnswer: 129344000","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 315 - 448. Let t be d\/(-19) + -6 + 1. Solve f - 2 + 0 = 4*q, 0 = t*f - 4*q for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1111496769743.21692 - 1107278813143.21692098. Let p = -4217956669 + o. Let y = p + 69. Round y to 7 dps.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (11 + 114\/(-12))*128. Solve v*i - 6 = 195*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6\/29 greater than or equal to 0.448017?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 + 63935*l - 6 - 41170*l.\nAnswer: 22765*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 199969 and 11660?\nAnswer: 583","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*z**4 - 32*z**3 + 84*z**2 - 88*z + 32.\nAnswer: 4*(z - 4)*(z - 2)*(z - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 109267?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-26)\/(-10) - (-6)\/(-10). Suppose s*v + 12 + 14 = 0. Let n = 27\/2 + v. Which is bigger: n or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 193*v - 324*v + 156*v = 300 for v.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (85 - 91) + (3 - (2 - 3))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*k**2 - k**2 - 3*k**2)*(2 + 2 - 3) + 0*k**2 - 3*k**2 + 2*k**2 + (-3*k + 3*k - 2*k)*(1 + 2*k - 1).\nAnswer: -14*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*r + 90 = 20. Let v be -24*(r - (-39)\/9). Solve 0 = 4*f - 3*t - 9, 4*t = f + 4 - v for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28184 a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = o + 370 - 9, 4*w - 5*o - 365 = 0. What is the remainder when 239 is divided by w?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -76 = -3*l + 4*j + 142, j - 138 = -2*l. Calculate the greatest common factor of l and 35.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 16 = l, -2*d - l = -5 - 3. Suppose -4*a = d*j - a - 51, j - 5*a + 16 = 0. Solve q + j = 4*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 3, s: 5}. Give prob of sequence sss.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -97703*s**4 - 94151 with respect to s.\nAnswer: -390812*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 164.306 + -164. Let f = -0.064 - v. Round f to 1 dp.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y**3 - 25*y**2 + 17*y - 365. Determine g(25).\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 386 + -171. What is the units digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000064518381 rounded to 5 decimal places?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -327*t + 367*t - 40 = 0. Let f be (56\/6)\/(9\/(-27)). Let o = -30 - f. Sort o, -5, -4, t in decreasing order.\nAnswer: t, o, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u and 1 k when three letters picked without replacement from ukkkukukuuukukuukku?\nAnswer: 135\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 211 is divided by 88.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -3\/7 (b) -2 (c) 2\/5 (d) -13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -101 + 205. Calculate the highest common divisor of 13 and b.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 41874 and 53838.\nAnswer: 376866","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 165 - 161. Let m(g) = -g**3 - g**2 - g - 2. Let a be m(0). Let v be a\/(-12) - (-8)\/(-12). What is the biggest value in y, 2\/15, v?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 47271?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 56943?\nAnswer: 3, 19, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 - 7. Let p be 3\/6*-10*-1. Let m(g) = 2 + g**3 + p*g + 9*g + 11*g + 6*g**2 - 24*g. Determine m(t).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 100938457*x**4 - 128189667*x**2 wrt x.\nAnswer: 2422522968*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 253.9134 days in milliseconds?\nAnswer: 21938117760","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -184, -379, -540, -649, -688, -639?\nAnswer: -484","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_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: Put -7, 5, -6, -0.4, 0.4, -4.14 in descending order.\nAnswer: 5, 0.4, -0.4, -4.14, -6, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 5*r**2 - 886*r - 5294. Calculate s(183).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4)\/22 + (-26)\/(-22). Is a bigger than -3\/41?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 29164084 and 64?\nAnswer: 466625344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = 4*c - 3869, -v - 11 = -16. What are the prime factors of c?\nAnswer: 2, 3, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 52361283?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f**(-1\/2)*f)\/f)**12\/(((f**(2\/5)*f*f)\/f)\/(f*f*f**(2\/11)))*(((f**(1\/3)*f)\/f*f)**(10\/9))**(-13\/3) assuming f is positive.\nAnswer: f**(1613\/4455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 1085?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 75284278?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 50460 - -34?\nAnswer: 50494","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -278, -903, -1858, -3137, -4734, -6643, -8858, -11373?\nAnswer: -14182","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -92466*x**3 + 0*x - 6*x + 6*x.\nAnswer: -92466*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 477 - -1540. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 times -750\nAnswer: 3750","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**4\/13 - 12474*a**3\/13 + 49872*a**2\/13 - 49864*a\/13.\nAnswer: 2*a*(a - 6233)*(a - 2)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -674, -5412, -18274, -43322, -84618, -146224?\n\"Answer: -677*z**3 + z + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34644 is divided by 185?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-6)\/7)\/(30\/(-7455))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*q**3 + 3*q**3 + 11*q**3)*(4*q**2 - 2*q**2 - 5*q**2)*(-23 - 67 + 41).\nAnswer: 2058*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -111*b + 6050 - 6050 to the form f + c*b and give c.\nAnswer: -111","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 655065.4mg?\nAnswer: 0.0006550654","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -113*o**3 + 3*o**2 + 5*o - 15. Let q be d(2). Let m = q - -1802. Is 48 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 582266 != 582267?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -350 = 8*x - 374. Suppose -5*i - 4005 = -5*n, 1587 = -n + x*n - 5*i. List the prime factors of n.\nAnswer: 2, 13, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 6*r**2 - 3*r - 2. Let d(i) = -7*i**2 + 2*i + 3. Let k(z) = 5*d(z) + 6*w(z). Let t be k(8). Is t*((-2)\/(-2) + 6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (8\/(-66))\/((-22)\/(-33))\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/14*(-2 + (-9)\/6).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -65533 divided by -3?\nAnswer: 65533\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3\/(-9) - (-100)\/12. Suppose 13 = 3*i - r. Is 0 + 4 + 87*i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the second derivative of 7*r**4\/12 + 2*r**3\/3 - 10*r. Find the second derivative of l(x) wrt x.\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 117548064 is divided by 25252.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9.9 - 11. Let a = -0.1 - w. Suppose 0 = 5*z - 3*z + 4. What is the nearest to 1 in -2\/17, a, z?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*c - 4*n - 9, n = -3*c + 144 - 165 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = 4*x - 7*x + 72, t = 2*x - 48. Calculate the smallest common multiple of x and 12.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n*n**(-6\/11)*n\/n**(-43) assuming n is positive.\nAnswer: n**(489\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 15187156 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -4*d - 3. Let i be b(-2). Suppose -i*t + 27 = 3*y, 4*y - 1 = 5*t - 0. Suppose y*k - 2 = 54. Does 7 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b and 2 e when four letters picked without replacement from beuxsbxeubbu?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (18\/30)\/((-2)\/30). Let u = p + 22. What is the highest common factor of 13 and u?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 10 + -9. Let w be -2 - (q - 0\/(-1)). What is the third smallest value in -3\/4, w, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.05 plus -167657?\nAnswer: -167657.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 204 divide 9839532?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 176 and 96.\nAnswer: 1056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 0.0657529km?\nAnswer: 65752900000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -19830, -19308, -18444, -17238, -15690, -13800?\n\"Answer: 171*p**2 + 9*p - 20010","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a + 5. Let j be f(6). Suppose 3*n - 17 = 5*x, 4 = 3*n - 8. Is 3 a factor of x\/(6\/(-5) - j)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1798706761 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 655214*r**4 - 908278*r**2 wrt r?\nAnswer: 15725136*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f**4\/13 + 82*f**3\/13 + 2734*f**2\/13 - 18402*f\/13 + 2196 = 0 for f.\nAnswer: -26, 3, 61","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:56 AM and 5:40 PM?\nAnswer: 704","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 255\/(-1955) - 6165\/345\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(891) + 4*sqrt(891))*4 - 1*(-3 + sqrt(891)))**2.\nAnswer: 1026*sqrt(11) + 321660","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0 (b) -1 (c) -1.6 (d) 12\/26443\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-4*(5*-1*sqrt(2057) + 1 - (sqrt(2057) + -1 + -2 + sqrt(2057) + -2*(0 + sqrt(2057))))**2*3 + 4).\nAnswer: -3086440 + 26400*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5911 - 5833. Calculate the lowest common multiple of 3 - (-46)\/(10\/5) and t.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 3 - 2)*(2*w + 6*w - 7*w)*(2*w**2 + w**2 - w**2) to the form i + v*w + q*w**2 + z*w**3 and give z.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 47497 - -2?\nAnswer: 47499","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in twenty-one fifths of a microsecond?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.881 and 128.\nAnswer: 240.768","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the second derivative of -13\/6*r**3 + 0 - r - 1\/12*r**4 - 9\/2*r**2. Is 12 a factor of p(-8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 22736 and 94864?\nAnswer: 784","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 53 - 2 = 0. Suppose -5*h = 14 + u. Suppose 4*z + 3*g + 4 = 0, -g + 5 = -3*z + 2. Sort h, z, 5 in decreasing order.\nAnswer: 5, z, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 193\/2, 4\/9, 2, 0.2, 5, 0.04?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 142400?\nAnswer: 2, 5, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 54*q**2 - 2*q - 9. Let d be j(11). Let r(a) = -587*a + 6. Let m be r(7). Let l = m + d. What is l rounded to the nearest 1000?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12b5b1 (base 15) to base 8.\nAnswer: -3333741","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*r - 847 - 374 = 0. What are the prime factors of (r\/(-9))\/((-10)\/120)?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -63\/25 + -883\/225. Calculate the common denominator of v and -38\/9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 6 - -46?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5.470554 - 3264062.529446. Let b = g + 3264064.8999984. Let a = b + 3.1. Round a to 6 dps.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*p - 27*p**2 + 1 - 2*p**4 + 29*p**2 + 0*p**3 + 0*p**3 to the form k*p**2 + y*p + r*p**3 + q + j*p**4 and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*d**3 + 21 - 53 - d**3 - 8*d**3 - 60 as j*d + r + l*d**3 + g*d**2 and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -326 + 355 = b - v, 5*b + 4*v - 190 = 0 for b.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*q - 2*q - 5*q + (0 + 0 - 2)*(-4*q + 4*q - q) - 6*q + 29*q + 12*q + (0*q - 2*q + 0*q)*(1 + 0 - 3) as a + g*q and give g.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.03215086 + -17479.97015086. Let o = s - -17527. Let u = o - 46.1. What is u rounded to one dp?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 190*y**2 - 2*y - 188*y**2 - 9*y**4 + 6*y - y**3 as i*y**2 + h*y + m*y**3 + v*y**4 + w and give h.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3207 or -3156?\nAnswer: -3207","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 8, -55, -170, -343, -580, -887, -1270, -1735?\n\"Answer: -p**3 - 20*p**2 + 4*p + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/((-4)\/3))\/((1794\/(-92))\/(-39)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 2*z**2 + 4*z - 1. Let v be 7 - (-3 + 1 - -5). Let y be v\/8 + (-29)\/2. Let k = -17 - y. Give j(k).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 21\/88 and -11\/16312.\nAnswer: 179432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = 4*f - 448, 4*f - 2*y + 5*y - 448 = 0. What is the lowest common multiple of f and 176?\nAnswer: 1232","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 22*x + 36*x - 60*x. Let c be (-3)\/6*4\/2. Let p(h) = -4*h**2 + 3*h - 3. Let l(f) = -f**2 + f - 1. Let j(s) = c*p(s) + 3*l(s). Give n(j(b)).\nAnswer: -2*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2948999945.\nAnswer: 5, 17, 223, 155579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - 1235\/(-304))\/(2\/4)\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 17 (b) 2312 (c) 3 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10890 + 11821 = 49*y for y.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.02711 - 43.18289. What is f rounded to the nearest integer?\nAnswer: -43","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8675 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 788732 to the nearest integer?\nAnswer: 888","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 566849473 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1935 and 103415.\nAnswer: 930735","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 44366*a - 310587. What is x(7)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 236697?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 415976.2 millennia?\nAnswer: 4991714400","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3482124552?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 273, 1131.\nAnswer: 4, 273, 1131","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (-7*y + 4*y - 8*y)*(-13*y + 12*y + 17*y) - 2*y**2 + 2*y - 2*y as j*y**2 + h*y + c and give j.\nAnswer: -178","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 90769812 a multiple of 1284?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(2 + (sqrt(25)\/(sqrt(10)\/sqrt(2)) + sqrt(5) - sqrt(5))**2).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f**3 + f + 2. Let g be h(0). Let b be 48\/27 - (-4)\/18. Solve -p = 4*d - 1, b*p + 6*d = 3*d + g for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31548.\nAnswer: 2, 3, 11, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2 + 6. Let i = y - -1. Let s(b) = b**3 - 6*b**2 - 2*b + 8. Let x be s(6). Put i, 2\/5, x in decreasing order.\nAnswer: i, 2\/5, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1 - (-2 - -2))*((-91)\/(-14) - 3). Which is the smallest value? (a) 2\/7 (b) -3 (c) y (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 75906 is divided by 80.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/(-11) - (-4212)\/297. What is the greatest common divisor of z and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v**3 - 3*v + 2. Let g be z(2). What is the second derivative of 5*i**5 - g*i - 10*i**5 + 13*i wrt i?\nAnswer: -100*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y + 1. Let n be w(4). What are the prime factors of (-4)\/(((-6)\/(-4))\/n)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.3 + 3.7. Let b = i - 7. Let t = -0.5 - 4.5. What is the closest to 2 in 0, b, t?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:59 AM and 3:11 PM?\nAnswer: 372","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:19 AM and 2:41 PM?\nAnswer: 322","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s**2 + 20. Suppose -l = l. Let o be w(l). Let m be (1\/3)\/(o\/(-12)). Put 3, -1\/8, m in decreasing order.\nAnswer: 3, -1\/8, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 4 - 22*i**2 + 10*i**2 + 13*i**2 + 6*i. Let a be 1\/2 - 22\/4. Determine c(a).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1)\/(4\/30 - (-116)\/(-420)). Suppose 5*p = -5*k + 1740, 2*k - z*k = -3*p + 1060. What is the tens digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*v + 8*h - 5*h - 4080, 2*v - 2711 = h. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -157 by -39481.\nAnswer: 157\/39481","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 78982119 is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cpnrllcr. Give prob of picking 1 n and 1 l.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 90535 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j + 26. Let g(h) = h + 53. Let x(s) = 2*g(s) - 5*r(s). What are the prime factors of x(-10)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -29 + 25. Let w = z + 15. Let l = -11.00049 + w. What is l rounded to four dps?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*i + 11 = -17. Let r be (14\/42)\/((4\/(-6))\/i). List the prime factors of ((-5)\/10)\/(r\/(290\/(-1))).\nAnswer: 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 1, t: 1, f: 1, l: 2, n: 2, c: 1}. What is prob of sequence wft?\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1 - (6\/(-9))\/(8\/48). Is -1 + (h - -2526) + -7 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = -2*y - 6, -6*c = -3*c + 5*y + 15. Let d be (-4)\/(-2) + 85 + 0. Let w = -439\/5 + d. Are c and w equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 29 - (-8 + (41 - 16))\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 128\/7*v + 48\/7*v**2 - 4\/7*v**3.\nAnswer: -4*v*(v - 8)*(v - 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 7*o**2 + 952*o + 14. List the prime factors of u(39).\nAnswer: 7, 6827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1a (base 11) in base 6?\nAnswer: -33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 4.149249l?\nAnswer: 4149.249","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -20*p**3 + 2 + 23*p**3 - 7 with respect to p.\nAnswer: 9*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -24 - -44. Let n = k + -19.99937. Round n to 4 dps.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 - (-9 + 17 + 1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 77 - 76. Suppose m + c = -2, 2*m = 5*p - 21. Suppose 4*o + l = -40 + 1558, -o = -p*l - 373. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -24*d**3 - 3*d**2 + 6*d. Let h(c) = -8*c**3 - c**2 + 2*c. Determine -17*h(q) + 6*y(q).\nAnswer: -8*q**3 - q**2 + 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 112 = -2*w, 0*w - 155 = -3*w - 2*l. Calculate the remainder when w is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a litre in millilitres?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 15280537 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(931) + -1)*-6)**2.\nAnswer: -504*sqrt(19) + 33552","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-10)\/(-6) - (-28)\/21. Find the second derivative of 2*c + 6*c**3 - 8*c**w - 3*c wrt c.\nAnswer: -12*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c = -6 - 6 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 7145965507 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*m + 19*m**2 + 24*m**2 - 45*m**2 + 7*m.\nAnswer: -2*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, -59, -2, -4.\nAnswer: -59, -12, -4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2 + 2 + 2 + 4 - 4 + (-2 - 2 + 2)*(1 - 5 + 2) + 2 - 2 - 1 - 4 + 3 - 1)*(0*v + 6*v - 3*v).\nAnswer: 18*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-27)\/(-18))\/(2\/8). Suppose 2*w + 16 = 4*o, -3*o + 4*w + 8 = o. Does 11 divide (-4)\/o - (-70)\/k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve q = 13 - 9 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -8592850, -8592849, -8592848, -8592847, -8592846, -8592845?\n\"Answer: k - 8592851","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*d = -23 + 2 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 9428259563 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 317 or -2\/3?\nAnswer: 317","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.0482 - 5.0482. What is the closest to 0.1 in -0.3, 3, j, -8?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3\/15 + (-3)\/15. Suppose w = 3*n - 14 + 2. Solve 20 = -4*r + n for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 680 minutes after 8:57 PM?\nAnswer: 8:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + b = -2*b + 537, 0 = -4*x - 2*b - 542. Let j = 193 + x. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -505952*g**2 + 3451*g - 9.\nAnswer: -1011904","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4308 and 6910?\nAnswer: 14884140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rrrr when four letters picked without replacement from rrrrrrr?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -12 + 16. What is the lowest common multiple of 8 and a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 70288.\nAnswer: 2, 23, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b - 5*w = -b - 22, 0 = -3*b - 4*w + 29. Let u be 14\/6 - 1\/b. Suppose -3*m - u = -3*q + 1, 5*q + m - 17 = 0. Is q bigger than 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = m + 2. Let n be (-66)\/(-10)*(m - -6). Suppose 0 = -2*j + 1 + 3, n = 5*p - j. What is the units digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y + 4. Let z be v(-4). Suppose 0*o - 3*o - 12 = z. Let h(x) be the second derivative of x**3\/3 + 5*x**2\/2 + 4*x. What is h(o)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -t**3 + 10*t**2 + 34*t + 9. What is w(13)?\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r when two letters picked without replacement from zrzzzrrzzrzwz.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -3*x. Let n(v) = -157*v**2. What is c(n(i))?\nAnswer: 471*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1184 or 527.856?\nAnswer: 527.856","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 3036300562 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 3 e when four letters picked without replacement from geegegeege?\nAnswer: 8\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**4 - 6480*z**3 + 7434956*z**2 - 3541572720*z + 597409757042.\nAnswer: 2*(z - 1141)**2*(z - 479)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = 3*a - 25, -a - 2*x = -0 - 1. Let z be (0\/(a + -1))\/2. Solve z*s - s = 0 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -424534 >= -424533?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.746937 nanometers in micrometers?\nAnswer: 0.001746937","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + (-3 - (-4 + 1)) + -3.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -12, -5, 5, -41, 123, -2 in ascending order.\nAnswer: -41, -12, -5, -2, 1, 5, 123","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (9872 - -102) + -1*13?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from fffuubnfrfubfuffb.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 10160 + -10166. Let b(n) = -n**2 - 9*n - 28. Give b(v).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 498 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 5*j**2. Let f(a) = 2*a**3 + 8*a**2 + 7*a + 5. Let m be f(-3). Let x(h) be the first derivative of -1\/3*h**3 + 0*h**m + 3 + 0*h. Calculate l(x(o)).\nAnswer: 5*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c**3 + 30*c**2 + 51*c - 679. Is n(44) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f**4 - 7*f**4 + 2*f**4)*(4 - 3 - 3 + 0 - 2 + 4 + (5 - 5 + 2)*(-3 + 2 + 2) + 6 - 3 - 1 + 1 + 2 + 1).\nAnswer: -48*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -22118*q**3 + 7911*q**2 + q wrt q.\nAnswer: -132708","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 499*v + 680. Is i(47) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/(c\/(c*c**(2\/9)))*c)\/((c**(-8)*c*c)\/c)*c*(c\/(c**(-1\/17)*c))\/c*(c*c\/(c\/(c*c*c**(-9))))\/c)**16 assuming c is positive.\nAnswer: c**(5584\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**3 + 39907*r**2 - 32451475*r + 6666007089.\nAnswer: -(r - 39081)*(r - 413)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 417444006?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 42 and 861.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 11664 and 3706992.\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5220066851 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*g - 253 = -484. Suppose -40*j + 2436000 = -g*j. Round j to the nearest ten thousand.\nAnswer: 350000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(2\/11))**(-44)*h*h*h*h**(-7)*h**(-4) assuming h is positive.\nAnswer: h**(-16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.9? (a) 2\/19 (b) 3 (c) 43709\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 0 + 8 + -7?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/3 (b) 2\/5 (c) 9 (d) 2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 115231 is divided by 11?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (-1 - (0 - 3)) - -6.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -88, -173, -234, -271?\n\"Answer: 12*k**2 - 121*k + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the second derivative of h**7\/3360 + h**6\/480 - h**4\/24 - 2*h**3\/3 + 11*h. Let r(v) be the second derivative of k(v). Factor r(m).\nAnswer: (m - 1)*(m + 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4\/9 (b) -0.1 (c) -5 (d) -42\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6116 and 321368.\nAnswer: 556","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -2*y**2 - y + 2. Let b be p(1). Let g be 9\/2*b*-2. Let r = -14 + 18. Solve -4*w = r*z + 40 - 12, -3*w + 3*z + g = 0 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -3, -2, -190, 5 in ascending order.\nAnswer: -190, -4, -3, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14095 is divided by 306?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4, -12, -38, -74, -120?\nAnswer: -176","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-10)\/35 - 24\/14. Let f be t\/5 + (-579)\/15. What is f rounded to the nearest ten?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16332467 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/(4*6\/(-24))*4\/(-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3793 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 14 - 9. Suppose 2*q - 68 = 5*c - c, -170 = -5*q - w*c. Calculate the remainder when q is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 131\/9 smaller than 16?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 7*r - 113. Let o be z(17). Solve -o = -4*n - 6 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1185834 is divided by 395254?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -430 - -429. Let q(u) = -213 + 116 + u**2 + 98 + u. Let n(l) = -12*l**3 - 6*l**2 - 6*l - 6. Calculate g*n(p) - 6*q(p).\nAnswer: 12*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-300)\/(-6)*122\/(-610)*(-2)\/4*-8?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 2, m: 8, h: 6, y: 3}. Give prob of picking 2 m and 1 y.\nAnswer: 28\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 930069 is divided by 42271?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2772 times -6576?\nAnswer: -18228672","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000987059282 to 7 decimal places.\nAnswer: 0.0009871","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i**5\/3 - 10*i**4\/3 + 12*i**3 + 48*i**2 = 0. Calculate i.\nAnswer: -6, -3, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**(-33))**(-29) assuming r is positive.\nAnswer: r**928","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 27250024 by -3218.\nAnswer: -8468","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = -4*s - 175, -205 = 3*k - s - 35. Let x = k + 116. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 32271729?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 28676, 28678, 28680, 28682, 28684?\nAnswer: 28686","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6 - -4. Let q = -30 + 0. Let f = q - -27. Which is the closest to -2? (a) m (b) 1\/5 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 19242036 and 132?\nAnswer: 19242036","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 39*a - 25*a - 15 - 20*a. Let g be d(-3). Solve -u + 5*v - 3*v - 4 = 0, 0 = g*u - v - 8 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y = 4*w - 16, 2*w + 2 - 10 = -2*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 4, 376, -5, -2, 1267 in increasing order.\nAnswer: -5, -2, 3, 4, 376, 1267","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1653 + -0.17?\nAnswer: 1652.83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 24892, -2, -3, -4 in decreasing order.\nAnswer: 24892, -2, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -202900, -405807, -608714, -811621, -1014528?\n\"Answer: -202907*r + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and -21\/15737 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -911ce4 (base 16) to base 15.\nAnswer: -c7cc2b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -21*16\/(-4032)*104 - (4 + 60\/(-18)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (18\/(-120)*4)\/(54\/(-60))\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*o - 220 = 18*o - 4*v, -o = -2*v - 64. Suppose -b - 2 = -3*b. What is the tens digit of (2\/(-4) + b)*o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*m**2 + 3*m**2 - m**2 + (-3*m**2 + 0*m**2 + m**2)*(-5 + 3 + 1))*(-6*m + 62 - 62).\nAnswer: -6*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*p**4 - 2*p**4 + 4*p**4 + 0*p**4 + p**4 - 2*p**4 + (2*p - 3 + 3)*(2*p**3 + p**2 - p**2).\nAnswer: p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2777147 to the nearest integer?\nAnswer: 1666","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/6 - 5\/(-3). Let h(t) = 6 - 6*t**3 + t**x - 3 - 4. Determine h(1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -7*v + 7*v - 2 - 10 - 44*v**2 wrt v.\nAnswer: -88*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -16116*l**6 - 2*l**3 - 4*l**2 - 104*l + 11?\nAnswer: -1933920*l**3 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 3*z = 148, 0 = -4*o + 3*o - z + 146. Suppose -62*u = -61*u - o. What is the hundreds digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - 14) + (-8 - -16) + -2?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 72 - (5 - 5) - (-2 + (-1 + 6 - 11)).\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -25 + (7 - (20 + -42 - -35)).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (916637 - 916637 + 631*c)*(0 - 5 + 3)*(2*c + 5 - 8 + 7) as x*c + k*c**2 + p and give x.\nAnswer: -5048","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 103 + 8\/12*36\/3. Calculate the highest common divisor of f and 148.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 19739?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f**3 - 6*f**2 + 6*f. Let s be d(-7). Let x be s\/(-49) - 8794\/(-14). Suppose -5*b = 3*j + j - 3285, -b + 5*j = -x. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 56809, 56789, 56773, 56761, 56753?\n\"Answer: 2*s**2 - 26*s + 56833","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 21.792 + -21.415. Which is the third biggest value? (a) -1\/7 (b) -3 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -55*s - 147. Is 21 a factor of h(-16)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/(-18) + (-6)\/(-54). Solve -l - 2*s + 3 = -2*l, 5*l + 4*s - 41 = c for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in 0.21, 0.002, -3?\nAnswer: 0.21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-16*k + 15*k + 12*k)*(4 - k**4 - 4 + (2*k - 3*k + 2*k)*(-2*k**3 - k**2 + k**2)).\nAnswer: -33*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -80*x**2 - 8317*x**3 + 42*x**2 + 38*x**2.\nAnswer: -8317*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, h: 1, z: 2, v: 1}. What is prob of sequence hq?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 2, 10, 5, 0 in increasing order.\nAnswer: 0, 1, 2, 5, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 48 = t + 2*t, -3*p + 36 = -t. Solve 7 = -4*r - p for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1920\/1600 - -2*11\/(-10). Which is the closest to -50? (a) j (b) 15 (c) -1\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 - 6\/5*u**2 + 1\/5*u**3 + u = 0 for u.\nAnswer: 0, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(6*-1)*126\/(-8)*(-1566)\/(-1827)?\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(176) + -2)*4)**2 + -1*sqrt(176)*-3 + ((sqrt(176) - (sqrt(176) + 0 + sqrt(176))) + 2 - -1*(0 + sqrt(176)))**2*3.\nAnswer: -244*sqrt(11) + 2892","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -7458 - -2?\nAnswer: -7456","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1957421?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 28*z + 6. Let j be d(-1). Let i = j - -25. Solve -3*f = y - i*y - 9, 0 = 5*y + f - 3 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.126 to one decimal place.\nAnswer: 3.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1864745 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v**4\/5 + 66513*v**3\/5 + 73686333*v**2 - 2590268421*v\/5 - 8853546312 = 0. Calculate v.\nAnswer: -11089, -8, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the third derivative of -3*i**7\/490 - 17*i**6\/840 + i**5\/42 + 2*i**4\/21 + 2*i**2 - 275. Factor y(m).\nAnswer: -m*(m - 1)*(m + 2)*(9*m + 8)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (3\/1)\/((-3)\/36). Let r be 50\/18 + (-8)\/p. What is the closest to 1\/4 in 1, 0.1, r?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1100 (base 2) in base 8?\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 112808.814 to the nearest ten thousand.\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 22363?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*x**3 + 4205*x**2 - 5939*x + 2094 = 0 for x.\nAnswer: 2\/3, 3\/4, 349","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of b**3*p**3 - 289*b**3*p**2 - 100*b**2*p**2 + 5*p**3 wrt b?\nAnswer: 6*p**3 - 1734*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 2*w**2. Let s(j) = -38*j - 15819. Let x(z) = 17*z + 7917. Let g(l) = -4*s(l) - 9*x(l). Determine g(a(h)).\nAnswer: -2*h**2 - 7977","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is (-33370)\/(-30) + -7*6\/(-63) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.977 times 0.07?\nAnswer: 0.13839","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/(-5) - (-437)\/115. Solve -k*z = -z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1088) + 1)**2 - sqrt(1088))*-2.\nAnswer: -2178 - 16*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((n\/n**1)\/n)\/n)**(-20)\/(n**(-4))**17)**(-9\/5) assuming n is positive.\nAnswer: n**(-972\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -15 - -20. Suppose -u*z + 8*z = 810. Suppose -5 = 2*o + 5*k - z, -6 = 2*k. Calculate the greatest common divisor of o and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 times 227?\nAnswer: -45.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 137\/15336 and -7\/324?\nAnswer: 46008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*g = -78*g + 161881 + 310923. Does 11 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -100 - 144 = -61*m. Factor 24\/5*q**3 + 12\/5*q**2 + 9\/5*q**5 + 0*q + 0 - 33\/5*q**m.\nAnswer: 3*q**2*(q - 2)**2*(3*q + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 29\/2527 and 53\/2527.\nAnswer: 2527","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -399*k**3 + 32*k**3 - 3*k**3 + 113*k**3 + 103*k**3.\nAnswer: -154*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -153*v**2 - 311?\nAnswer: -306*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13330303 (base 5) to base 9.\nAnswer: -227005","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4.22000505 - 4.22. Round p to six dps.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1\/39 - 161\/195. Let g = -41 + 40.8. Let x = -7 - -6.9. Which is the closest to x? (a) g (b) j (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3978 + 4386. What is the smallest common multiple of s and 11?\nAnswer: 4488","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let w be 2 - -2*2\/4. Let d(m) = 692*m + 2077. Let p be d(-3). Put p, -1, w, 2 in decreasing order.\nAnswer: w, 2, p, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 408 minutes after 4:46 AM?\nAnswer: 11:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 9*g + 2. Let t(s) = 7*s + 2. Let b(o) = 5*t(o) - 4*w(o). Calculate the smallest common multiple of 5 and b(-2).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-h**3 + 0*h**3 + 3*h**3)*(-h + h - 2*h) + (319 + 2065 - 419)*(-2*h**4 + 2 - 2)*(3 - 1 + 0).\nAnswer: -7864*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/5, 2, -1\/140, -51, 16\/5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0053338341 rounded to 5 dps?\nAnswer: -0.00533","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1660721537 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i + 8 = 4*v, 8*i + 7 = 6*i + v for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1.3, -85\/14, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:01 PM and 11:42 PM?\nAnswer: 341","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 minutes after 7:31 PM?\nAnswer: 8:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/123 or 1?\nAnswer: -1\/123","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in seven halves of a kilometer?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 3*m**2 + 17*m + 8. Give k(-8).\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 12, x: 7}. Give prob of picking 2 m and 1 x.\nAnswer: 154\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -120 - -140. Suppose 0 = -5*p + g, 3*z - 4*p = 7*z - 2556. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b and 1 f when three letters picked without replacement from {f: 8, b: 3}?\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m = -2*m - 8. Is (-277)\/m + 3\/(-12) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 153 minutes after 8:37 AM?\nAnswer: 11:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -184242*n = -3*x - 184247*n + 38, 3*x + 40*n + 137 = 0 for x.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10.2 - -10. Which is the closest to -2\/7? (a) -5 (b) -1\/4 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f**3 + 5. Let n be q(0). Let t(b) = -b**3 + 7*b**2 - 7*b. Determine t(n).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*5*sqrt(99))\/((sqrt(108) - (sqrt(108) + -5*sqrt(108) + sqrt(108)))\/sqrt(12)).\nAnswer: -5*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7.14 - 0.14. Let m = 12 - t. Let f = 1 + -0.5. Which is the smallest value? (a) f (b) -0.1 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 13 - 64 + 120 + z**2 as n + b*z + g*z**2 and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0\/(0 + 1) + 194\/176443. Let y = 58751692997269\/12733 + -4614128096. Let j = y - x. Calculate the common denominator of 59\/10 and j.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -16*q + 532. Determine f(26).\nAnswer: 116","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -131300 = -2034*q - 2161*q - 1997*q - 373*q for q.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -329886 divided by -329886?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9155 divided by 8970.\nAnswer: 1831\/1794","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 735074, 2940294, 6615660, 11761172?\nAnswer: 18376830","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1140378 is divided by 380123.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - f - 1)*(0 + 1 + 2 + (0 + 3 - 4)*(6 + 1 - 3))*(4*f + 2*f**2 - 4*f) in the form y*f**2 + o + x*f + m*f**3 and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k*k*k*k**21*k*k)\/(k**(14\/5)\/k)*k**(-23)\/(k*k*k*k**3\/k*k) assuming k is positive.\nAnswer: k**(-19\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Add 2 and -2.81154855237593.\nAnswer: -0.81154855237593","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (63*y**2 - 63*y**2 + 8*y**4 + (3*y + 3*y - 4*y)*(2*y**3 + y**3 - y**3) + 0*y**4 - y**4 + 2*y**4)*(0 - 3 + 5)*(-3 - 4 + 5).\nAnswer: -52*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2066*c*y**2 - 2*c + 460 with respect to y.\nAnswer: 4132*c*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -40689 or 0.061?\nAnswer: 0.061","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the third derivative of -k**4\/6 + k**2. Let f(o) = o - 3. Let s be f(8). Suppose -2*i + g = -3*i + s, 5*i - 2*g = -3. Determine n(i).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*v + 3*v - 4*v)*(-v + 3 - 3) + (-2*v + v + 2*v)*(-43*v - 22*v - 13*v) + (4*v + 0*v - 2*v)*(2*v - 2*v + v).\nAnswer: -72*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 110 and 682?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -80 = -7*s + 5*s. Suppose 0*y = 2*y - s. Solve -y = 6*u - 2*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*g = 6268 - 23893. Let x = 2316 + g. What are the prime factors of x?\nAnswer: 7, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**6*d*d*d*d**(-6\/11)*(d**(-4\/5)\/d)**(-17\/4))**13 assuming d is positive.\nAnswer: d**(48919\/220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 5676 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: Let t be -15*-4*(-3)\/(-15). Let r = 0 + t. Suppose 0 = z - 0*b - 4*b - r, -3*z + 2*b = -56. Does 9 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -59.06 - -59. Let g = 0.94 - d. Which is the closest to g? (a) 1\/5 (b) 3 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.7 + 0.2. Let v be 3 + (5\/35)\/((-12)\/238). Which is the second biggest value? (a) u (b) v (c) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - -11 - (-12 + 22)) + 5?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-4)\/(-6))\/((-4)\/6). Let x be r\/2*(-2 - -2). Let y = 0.04 - -3.96. Put -3, y, x in descending order.\nAnswer: y, x, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -6571.8 (b) -4 (c) -0.1 (d) 6.3 (e) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 454 = 4*d - 330. Let w = d - 1374\/7. Let z be 1 - (4 + -5 - -6). Which is the smallest value? (a) w (b) z (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-8)\/(-12) - (-12)\/(-9). Suppose -2*c = -0*c. What is the closest to c in v, 1\/6, 0.5?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b, 1 s, 1 u, and 1 i when four letters picked without replacement from ubfbsssffsi?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*-2*sqrt(76)*2)\/((-1*sqrt(28))\/sqrt(7)*-6))**2.\nAnswer: 1900\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(6)\/sqrt(2)*2 + (sqrt(12)\/sqrt(4) + sqrt(3))*2.\nAnswer: 6*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-34)\/s*s**(-43)*s*s*s*s\/(s**(4\/27)*s)*s\/(s**(-1\/57)\/s) assuming s is positive.\nAnswer: s**(-37516\/513)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Are -5 and -682\/189 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that -2\/7*k**3 - 4\/7 + 6\/7*k**2 + 2\/7*k - 2\/7*k**4 = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the second derivative of 1\/10*k**6 + 2\/5*k**5 + 7\/12*k**4 + 0*k**2 + 1\/3*k**3 + 3*k + 0. Suppose c(o) = 0. What is o?\nAnswer: -1, -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - 13\/(-3) - (-190)\/(-210)?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -25, 13, 81, 179, 307?\nAnswer: 465","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-v - 4*v + 3*v)*(2 - 6 + 2) + 6 + v - 1 - 2 to i*v + h and give h.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 561*c**3 - 6*c - 1 - 558*c**3 - 10*c as i*c + p*c**2 + y*c**3 + n and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -459*t**2 - 3833 - 3835 - 3833 + 15330 - 3829.\nAnswer: -459*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = 2*i - 25, x + 0*i - 3*i = 0. Let p(q) = -22 + x*q**3 - 14*q + 16*q**2 - 5*q**3 - 2*q. Let j(o) = 3*o**3 + 5*o**2 - 5*o - 7. Give -16*j(w) + 5*p(w).\nAnswer: 2*w**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1390434?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*f*z**4 - 8*f - 17*z**4 + 2*z wrt z.\nAnswer: 8*f*z**3 - 68*z**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e, 1 r, and 1 a when three letters picked without replacement from eeraahahaazereazae.\nAnswer: 35\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1375676 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1253 = 5*n + 878. What is the highest common divisor of n and 1545?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -10919762*c**5 - 17246586*c**2?\nAnswer: -655185720*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3639739 divided by -24.\nAnswer: -3639739\/24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - k + 4*k - 15 = 0, -4*j + 5*k = -7. Suppose -j = -4*s + 37. Let r(y) = y + 3. What is the lowest common multiple of r(-1) and s?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the third derivative of h**8\/2800 - h**7\/350 + h**6\/150 + 8*h**3\/3 - 169*h**2. Let a(w) be the first derivative of b(w). Let a(c) = 0. What is c?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -23*u**3 + 17*u**2 - 17*u - 23. Let b(l) be the third derivative of l**6\/30 - l**5\/20 + l**4\/8 + 2*l**3\/3 + 2*l**2 + 73. Calculate 34*b(j) + 6*w(j).\nAnswer: -2*j**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 10\/4*(62\/10 - 5). Let h be (77\/w + 1)\/(18\/(-34020)). Round h to the nearest one thousand.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1112.\nAnswer: 2, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-6)\/9 + 232\/6. Suppose 2*q + 14 = -74. Let n = -40 - q. Solve v + 17 = -n*s, -4 + a = 3*v - 5*s for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 23 - 1320210011110?\nAnswer: -1320210011021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 15 = 2*l, 2*l = 4*f - 0*f - 10. Let u(q) be the first derivative of 83*q + 5*q**2 + 12 - 83*q - 2*q**f. Find the second derivative of u(m) wrt m.\nAnswer: -120*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4295 - 14*p**2 - 9853 + 5558.\nAnswer: -14*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:33 PM and 8:17 PM?\nAnswer: 344","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d**2 - 11*d - 5. Let j(i) = -i**2 - 12*i - 6. Calculate -5*f(l) + 4*j(l).\nAnswer: l**2 + 7*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*n + 2 + 4*n + 3*n)*(2 - 2 - 3*n).\nAnswer: -6*n**2 - 6*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w + 2*f = 40, -3*f = 6*w + 53 - 32 for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z, 1 q, and 1 e when four letters picked without replacement from zeiizieeiiiiqei?\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/((6\/(-4))\/3). Let u(h) = t*h**2 + 3 + h - 3 - h**3. Suppose 406 = -12*n + 394. What is u(n)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y**2 + y. Let n be g(2). Put -3, 2, n in decreasing order.\nAnswer: 2, n, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = s + 5*i, 5*s - 3 - 2 = 5*i. What is the smallest common multiple of -1 - (-8 - -3 - 0) and s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2934259?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Add together 5 and -1.003.\nAnswer: 3.997","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 318103 divided by -2\nAnswer: -318103\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(3\/4)*n*n*n**(1\/8))**18 assuming n is positive.\nAnswer: n**(207\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v**3 - v**2 + v + 2. Suppose 0 = 3*n - c + 5, 5*c - 38 + 13 = -n. What is the remainder when o(n) is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f**2 - f - 8. Calculate m(4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1 + -110022101111222010?\nAnswer: -110022101111222011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 281*x + 28 = 288*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is n in -6*n**3\/11 + 1786*n**2\/11 - 132610*n\/11 - 44402\/11 = 0?\nAnswer: -1\/3, 149","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 10, 2, -72 in increasing order.\nAnswer: -72, -5, 2, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + 245630310?\nAnswer: 245630313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 0 + (-21)\/((-105)\/(-20))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -2*q - 24. Let h be z(-17). Suppose 0 = -h*t - 0*t - 10. Which is the second smallest value? (a) -0.3 (b) t (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the third derivative of -2*b**5\/15 - 5*b**2 - 22*b. Let c(s) = -31*s. Give c(z(y)).\nAnswer: 248*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34 = 5*n - 9. Let z(i) = i**2 + 6*i + 5. Let o be z(n). Suppose 2*k - 5*k = 0. Solve o = -k*g + 3*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the second derivative of -49*f**5\/20 + f**4\/6 - 2*f**2 + 22*f. Find the third derivative of d(p) wrt p.\nAnswer: -294","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49*g + 6*g = 31*g + 124248. What are the prime factors of g?\nAnswer: 31, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 429 is divided by 73?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-6)\/4*20\/(-30). Let p = 0.01 - -0.59. Put -1\/8, p, k in decreasing order.\nAnswer: k, p, -1\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = 10 + 17. Let p = -5 + b. Suppose 0 = 5*n, 70 = p*v + v + n. Is 10 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 57a + -af5d2?\nAnswer: -af058","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (36\/(-612))\/(35\/595)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2097 = 28*a + 2097 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 101101000 (base 2) to base 3.\nAnswer: 111100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.18 + 0.06. Let k = s - 2.88. Sort k, -1\/5, -3\/8 in ascending order.\nAnswer: k, -3\/8, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5959440 divided by -33108.\nAnswer: -180","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/2*1859\/258401?\nAnswer: -2\/139","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*v - 10*v + 15 = 0. Let l(u) = -u**3 - 9*u**2 - 8*u - 3. Let f be l(-8). Let o = -0.02 + 2.02. Which is the closest to o? (a) 0.5 (b) f (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*n + 3*s - 369 + 282, 205*n - 503 = -3*s for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is b in 2*b**3\/9 - 42632*b**2\/9 - 938630*b\/9 - 5163796\/9 = 0?\nAnswer: -11, 21338","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 o when two letters picked without replacement from nqlonnkxxlqxl?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3937 is divided by 719.\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 12*y - 232. Let q be m(19). Let o(z) = -3*z**3 - 11*z**2 - 9*z. What is the remainder when o(q) is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6267719 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -46*y + 519. Is t(-10) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -33939565 divided by -1\nAnswer: 33939565","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-6490)\/(-1320) - 3\/(-36)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 978082.\nAnswer: 2, 7, 19, 3677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((12 - 23) + 7 - -5) + -24 + 119.\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = f + f. Let b be 292\/18 - f\/45. Suppose -x = -3*x + b. What is the units digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7237, -8566, -9895, -11224, -12553, -13882?\nAnswer: -15211","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -83\/110 and 9\/535?\nAnswer: 11770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 + -11 - ((-2 - -4) + -1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 less than 2137.18?\nAnswer: 2117.18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that -2*l**2\/3 + 34*l - 432 = 0.\nAnswer: 24, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1\/8 (b) -0.3 (c) 0.06 (d) -35\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*i + 3*i - 2*i - i - 3*i + 3*i + (-1 + 3 + 6)*(2*i + 1 - 1) - i - i + i)*(-3*i + 3*i - 2*i**3).\nAnswer: -24*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r + 2. Let p = 12 - 13. Let j(i) = i - 1. Let m(d) = -2*d + 1. Let h(x) = -3*j(x) - 2*m(x). What is p*h(y) + g(y)?\nAnswer: -2*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 1\/10 of a millisecond?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 75 = 5*k, -2*k = -k - 4*p. Let l = k + -9. What is the units digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 70 + -7. Does 9 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3.06 + 0.64. Let m = 2.7 - y. What is the closest to -2\/3 in m, -1\/5, 0?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -12384 - -12388. Let t(c) = -20*c**2 + 4. Let p(y) = -39*y**2 + 9. What is v*p(o) - 9*t(o)?\nAnswer: 24*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*k + 474 = -66*k. Let p(r) = r**2 - r - 1. Let m(b) = -5*b**2 + 3*b + 3. Give k*p(j) - 2*m(j).\nAnswer: 4*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0 (b) -0.1 (c) -3\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a gram in milligrams?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (2 - (-102)\/(-2))*(-20 + -61).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 202 - 204. Let m be 7\/3 - w*3\/9. Suppose 18 = 4*b - 2*x, -2*x = b - 7*x - 18. Do b and m have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 429.06 and 0.07004?\nAnswer: 428.98996","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 12 = 8. Solve 4*y - 23 = 4*q + y, 5*q = -5*y - h for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -2*a - 8. Let s be t(-7). Differentiate -z**2 - s*z**2 + 3 + 3*z**2 wrt z.\nAnswer: -8*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2476377?\nAnswer: 3, 275153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 11 - 2. Let u be 523 + f\/3 + -6. Suppose -5*j - u = 2*y - 7*y, 525 = 5*y - 4*j. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 263 a factor of 341111?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7 - 6. Suppose 0*r - 146 = -3*a + r, r = t. Suppose -m - 14 = -a. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -421 + 624. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = 2*c - 72, 115 = 8*c - 3*c + 3*g. Let d = -42 + c. Is (21\/2)\/((-12)\/d) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4092545.\nAnswer: 5, 818509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j*j*j**(2\/19)*j*j*((j*j*j**16)\/j)\/j*j)\/(j**28\/j**10))**42 assuming j is positive.\nAnswer: j**(3276\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 3982*b**2. Let z(w) = -19*w**2 + 28*w. Calculate z(r(m)).\nAnswer: -301270156*m**4 + 111496*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-8)\/(-12))\/(5\/(-3)). Which is the second smallest value? (a) s (b) -2\/19 (c) -2\/9 (d) -17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -9*(12\/(-9))\/(-4). Let w(a) = a**3 + 4*a**2 + 5*a + 4. What is w(y)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 51 divided by 18.\nAnswer: 17\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2.284 + 173.284. Is 1 <= a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -11*a - 12*a - 27*a + (4*a - 4*a - 2*a)*(0 + 3 - 1)*(0 + 1 - 3).\nAnswer: -42*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*t + 9 = -0*t - 9. Solve 5*r + 1 - 44 = 6*j, t*j = 5*r - 34 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -94*v + 99*v + 1 = -3*t, 5*t = -v + 35 for t.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 416?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 0 + -132?\nAnswer: -132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(5 + (-4*(1 + sqrt(3564)*2)*-1)**2).\nAnswer: 3456*sqrt(11) + 684351","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 778 a factor of 189816641?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*k - 499 = 356. What is the remainder when 373 is divided by k?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 344260 and 60.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*k**5 + 0*k**5 - 3*k**5 + ((-2 + 2 + 1)*(-3*k**2 - 3*k**2 + 4*k**2) - 120*k**2 + 212*k - 212*k)*(-3*k**3 + k**3 + 0*k**3).\nAnswer: 243*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 1\/4*(63 - -3 - 64)*(0 - 1)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(((-60480)\/10850)\/216)?\nAnswer: 155","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 160 is divided by 52?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3663 is divided by 97.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -7\/4*u**2 + 0 + 1\/2*u.\nAnswer: -u*(7*u - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f - 6. Let t be i(0). Let n be 0 - 0 - (t + 3). Is 3 equal to n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 f when two letters picked without replacement from uurffyey.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 309, 620, 931, 1242?\n\"Answer: 311*c - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 5*sqrt(12)\/sqrt(6).\nAnswer: -1 + 5*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 6}. What is prob of picking 3 p?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1229*g**2*t**2 - g**2*t - 2627*g**2 + 11*g*t**2 + 3*g*t - 2*g - 877*t**2 + 3 wrt g?\nAnswer: -2458*t**2 - 2*t - 5254","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2607 + 2627 = -5*v. Let w be (-17)\/68*(4 + v). Let i(d) = -d**3 + d**2 - 29. What is i(w)?\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -5\/1780142 and -35\/27719354.\nAnswer: 194035478","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:47 PM and 5:33 AM?\nAnswer: 526","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(-6) - (7871\/(-1309)*35\/(-20) + -11)\nAnswer: -1\/44","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Let v be 47853\/(-377) + 9 + 2\/(-29). Which is greater: v or -99?\nAnswer: -99","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1027.07138 rounded to one dp?\nAnswer: -1027.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the second derivative of -11*v**8\/420 - v**5\/120 - 17*v**4\/12 + 3*v. Let l(f) be the third derivative of o(f). What are the prime factors of l(-1)?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2467 - -2967. What is the remainder when y is divided by 170?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 2 g when three letters picked without replacement from zgzzzzzgzz.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cttc when four letters picked without replacement from cctccccccttc?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4688992 and 95484928?\nAnswer: 1050334208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 47*v - 136*v + 48*v + 42*v. Let s(i) = -227*i**2 + 5. Determine b(s(z)).\nAnswer: -227*z**2 + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 123, 272, 419, 564, 707, 848, 987?\n\"Answer: -w**2 + 152*w - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 6, 8, 12, 18, 26, 36?\n\"Answer: t**2 - t + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the first derivative of -5*c**2\/2 - c - 2. What is the units digit of i(-7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02937 rounded to 2 dps?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 20849 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -119 divided by 35856\nAnswer: -119\/35856","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -4 + 5 + -1 + -3?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 12*d**3 - 6*d**2 - 6*d + 7. Let a(l) = -13*l**3 + 7*l**2 + 7*l - 9. Let w(y) = 4*a(y) + 5*q(y). Determine w(-1).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 131 = 37*h + 20. Factor 0 - 1\/4*g**2 + 1\/4*g**h - 1\/2*g.\nAnswer: g*(g - 2)*(g + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 109 divide 7957?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**2\/15 + 8886*m.\nAnswer: -2*m*(m - 66645)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6558 = 33*d - 8424. What is the units digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 w and 1 s when four letters picked without replacement from {w: 3, s: 8}?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 45 and 314586?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 243 + 629 = 4*s. Let v = s - 9. Suppose v + 13 = 3*r. What is the units digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l + s + 9 = 0, -3*l - 2*s + 8 = 1 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 89225.3 * 0.25.\nAnswer: 22306.325","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3, -13, -33, -51, -61, -57, -33?\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -876 + 878. Let v(b) = 6. Let k(f) = f**2 - 7. Determine y*k(z) + 3*v(z).\nAnswer: 2*z**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3189 is divided by 58.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-2\/11)\/x*x*x**8*x*x)\/(x**(2\/5))**(1\/25)*x**5*x*x**(1\/2)*x**4\/((x*x**6)\/x) assuming x is positive.\nAnswer: x**(39331\/2750)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -7*q + 2. Let t be b(1). Let z(i) = i + 7. Let o be z(t). Suppose 110 = o*x - 0*x. What is the remainder when x is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/3, 5, -76427?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the first derivative of -o**4\/4 - o**3 + o**2 - 3*o - 1. Let i be a(-4). Let w(l) = 2*l + 18. Let r be w(-8). Sort r, 3, i.\nAnswer: r, 3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5173 and 896?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -53, -109, -165, -221, -277?\nAnswer: -333","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 41\/351 + -596\/4563. Which is smaller: i or 1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11246.13 litres to millilitres.\nAnswer: 11246130","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -350, -5, 5, 1722 in decreasing order.\nAnswer: 1722, 5, 3, -5, -350","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from keekpkek. What is prob of picking 3 k?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:57 PM and 7:23 PM?\nAnswer: 266","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 509 - 32. Suppose -3*b = -j + 87. Suppose -2*r = -7*r + b. Is 15 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 4 = -1. Suppose x + a*x + 8 = 4*l, 3*l = -3*x + 6. Find the second derivative of 2*w + w - 2*w**4 - l*w wrt w.\nAnswer: -24*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 21*k - 900. Let m(g) = -32*g + 1440. Let f(t) = -8*d(t) - 5*m(t). Let u be 4 - (4 + -2 + 0). Let x(h) = 2*h**u + 1 - 1. Determine x(f(n)).\nAnswer: 128*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 2 = -8. Let g be 0 - (o - (1 - 0)). Solve 0*n - 5*n = -g*d + 9, n = 3*d - 9 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 214903\/94 or 2285?\nAnswer: 214903\/94","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-2\/7))**46\/((n**25\/n)\/n**(1\/4)))**11 assuming n is positive.\nAnswer: n**(-11363\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence td when two letters picked without replacement from {a: 5, z: 4, d: 4, t: 2}?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-1)\/u**(1\/2)*(u**(5\/4)\/u)\/(u\/u**(-4\/5))*(((((u\/(u\/(u**2\/u))*u)\/u*u)\/u)\/u)**24)**(-4\/21) assuming u is positive.\nAnswer: u**(-61\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6968 and 1863940?\nAnswer: 3727880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -510*c. Let b(h) = -534*h. What is b(u(t))?\nAnswer: 272340*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 4*w - 45 = 0. Let p be -21*(2 + -10 + -2). Suppose 8*s - p = 206. What is the remainder when s is divided by w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + 19 + -4 + 1 + -3.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*y**3\/7 + 699*y**2\/7 + 52050*y\/7 - 106872\/7 = 0. Calculate y.\nAnswer: -61, 2, 292","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the third derivative of v**8\/6720 + v**7\/315 - v**6\/80 - v**5\/10 - 31*v**4\/24 + 36*v**2. Let k(w) be the second derivative of n(w). What is k(-9)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 28*z + 68. What is y(-2)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 4*n - 4. Let o(l) = 5*l - 5. Let r(j) = 4*i(j) - 3*o(j). Let y be r(6). Sort 2, -1\/4, y.\nAnswer: -1\/4, 2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 107 - 61. Suppose -3*f + 4*l = 0, 3*l + 29 = -0*f - 5*f. Let c = g - f. What is the tens digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000091181 to 5 dps.\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express f - 2*f**3 + 3*f**3 + 1109*f**2 + 39 - 1111*f**2 in the form o + u*f**2 + c*f + z*f**3 and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2163 is divided by 273?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 2*f, -2*a + 6*a = f + 9. Let g(h) = 49*h. Let o be g(a). Suppose -2*j + o = -0*j. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 44*a**2 - 5243*a**3 + 5236*a**3 - 20*a**2 - 24*a**2.\nAnswer: -7*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(8\/5)*r*(r\/((r**(4\/9)\/r)\/r))\/r)\/(r**12\/r*r**(-2\/15)))**(-8) assuming r is positive.\nAnswer: r**(2416\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1368 a factor of 9087624?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 58*w = -5*w - 2*w. Solve 440*x - 432*x = w for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1942, -6033, -12854, -22405, -34686, -49697, -67438?\n\"Answer: -1365*g**2 + 4*g - 581","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*a - 4*z = 38*a - 20, 4*z - 20 = -a. Sort -1972, -4, a in ascending order.\nAnswer: -1972, -4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3193, -12760, -28693, -50986, -79633, -114628, -155965?\nAnswer: -203638","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = 4*s - 37, 3*q = s + 2*q - 3. Let b(r) = -r**2 - 15*r + 46. Let c be b(-13). Calculate the greatest common divisor of s and c.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1246947, -1246943, -1246939, -1246935, -1246931?\nAnswer: -1246927","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -475, -2298, -5351, -9646, -15195, -22010, -30103?\n\"Answer: -2*q**3 - 603*q**2 + 130","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -49, -15, 53, 173, 363, 641, 1025, 1533?\n\"Answer: 3*j**3 - j**2 + 16*j - 67","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 + 1)*(-46 + 46 - 14*a).\nAnswer: 14*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 * -210.3.\nAnswer: 420.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 791 and 1.8?\nAnswer: 789.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in twenty-five quarters of a kilogram?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -353 < 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 866420.2 meters in centimeters?\nAnswer: 86642020","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 41491618.\nAnswer: 2, 7, 2963687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (4\/75)\/(7\/((-140)\/(-8)))\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*j - 3293 = -3381 for j.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -8 - -21. Let k be ((-178)\/801 - (-87)\/27)*(13 - 0). Calculate the highest common divisor of v and k.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6925 - 6503. What is the remainder when c is divided by 145?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + 58 - (123 - 104)?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 18 and 6.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 77.437 rounded to one dp?\nAnswer: 77.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.5, -13, -6\/5, -2, 3\/19?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 8*i**3 + i**2 + 2*i - 3. Give y(1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 167, 564, 1233, 2174, 3387, 4872, 6629?\nAnswer: 8658","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -178 - 0.07.\nAnswer: -178.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5103?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 900\/7 + (-729)\/(-1701). Solve -11*n = 184 - b for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -c + 1535*c**3 + 4 + 1590*c**3 - 4*c + 4*c.\nAnswer: 3125*c**3 - c + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 66801630?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 8*v - 5*v + 5*w, -v = 3*w for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 11\/9 and (-7862)\/(-780) + (-31 - -21).\nAnswer: 1170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 347, 693, 1039?\n\"Answer: 346*c + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*p + 6*p + 61*p)*(-14*p**3 - 81*p**3 - 105*p**3).\nAnswer: -14600*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0.7, 22, -3\/2, 3, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 135462.\nAnswer: 2, 3, 107, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 7437, 14893, 22349, 29805, 37261, 44717?\n\"Answer: 7456*r - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 64725 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 182 and 622531?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 90580 a multiple of 140?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 2\/54*-7*6\/(-7)\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the third derivative of v**6\/120 + v**5\/60 + v**2. Suppose 0 = -6*w + 5 + 1. Let b be k(w). Which is smaller: b or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a and 2 p when four letters picked without replacement from {p: 4, r: 2, w: 1, a: 7}.\nAnswer: 18\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3.03 + -0.03. Let h = -8 + x. Let w = -6.82 - -6.72. Put h, w, 0.4, 0 in decreasing order.\nAnswer: 0.4, 0, w, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.9 - 0.1. Let y = 190 - 190.4. Which is the closest to i? (a) y (b) -4 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqiq. Give prob of picking 2 q.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -70040 less than or equal to -68661?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -3*(0\/(-3) - -1). Let t(w) = w**2 + 2*w - 4. Let x be t(-4). Sort 2, c, x in ascending order.\nAnswer: c, 2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g**2. Let u(k) = 12*k**2 - 5*k. Let l(y) = 36*y**2 - 16*y. Let r(w) = -5*l(w) + 16*u(w). What is r(a(j))?\nAnswer: 12*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 4 = 3*m + 5*l, -41 = -4*m - l. Solve 4*s - m = -4*o + 17, 3*s = 2*o + 1 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rroc when four letters picked without replacement from ggoccrogrcocrg?\nAnswer: 3\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = -12*y + 902. Is y != 84?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v**2 - 15*v + 29. Suppose 4*k - 157 = 2*g + 3*g, -2*g - 56 = -5*k. Let q = g + 19. Does 5 divide w(q)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*(c\/c**(-1\/5))\/c*c)\/c)\/c**14 assuming c is positive.\nAnswer: c**(-64\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2 - 8. Let y be (n + 1)*9\/(-5). Let q(r) = y - 9 + r**2. Let t(w) = 2*w**2. Determine q(t(k)).\nAnswer: 4*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*w - 3402106 = -23*w. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve -311*g - 21103 + 3169 = 881*g + 58354 for g.\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -13*j - 1031. Calculate h(-81).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 277 or 275?\nAnswer: 275","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(153) - -2*sqrt(1700).\nAnswer: -2 + 23*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -1, -53, 0, -4 in increasing order.\nAnswer: -53, -4, -1, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-5))\/((-11)\/330*-12)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1 > -24081?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c and 1 a when three letters picked without replacement from {c: 2, a: 2}?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2)\/(-5) - (-24668239)\/565 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16431 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 340*j**3*n**3 - j**3*n + 87*j**2 + j*n**3 wrt j.\nAnswer: 2040*n**3 - 6*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -9 + -24789?\nAnswer: -24796","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 506 is divided by 15?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -86*l = -91*l + 7*w + 66, -3*l + 4*w = -39 for l.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 2*u**3 - 2*u**2. Let t(h) = -2*h**2 - 11*h + 16. Let k(z) = -n(z) - t(z). Determine k(3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4 + 7. Suppose 4*g = 3*y - 16, -13 = 3*y + 2*g - 41. Solve p + 18 = -4*o, p = -z*p - y for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 2 = 8, -3*y = n - 4. Suppose -3*g - 4*z = 3 - 94, -z - 121 = -5*g. Calculate the least common multiple of y and g.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 18 = 3*z, t = 4*t - z + 18. Let o(j) = j. Let k(l) = -l - 1. Give t*o(p) - 4*k(p).\nAnswer: -2*p + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 71\/6 and 2338\/(-1680) - (13\/(-5) + 2).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -73 + 133. Suppose -2*k = -m - 8. Find the second derivative of -34*f + 21*f**4 + 29*f**4 + k*f**4 - 70*f**4 wrt f.\nAnswer: 168*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in eleven halves of a gram?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-10)\/(-15))\/2)\/(2\/(-6))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 27178592?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -3*d. Let n(s) = -11*s**2 + 4*s**2 + 0*s**2 + 6*s**2. Determine n(f(r)).\nAnswer: -9*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c**2 + 4*c - 1. Let m be t(3). Let r(j) = -2*j**2 + 27709 + 5291 + j**m. Let i be r(0). Round i to the nearest ten thousand.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*j - 13*j + 21 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3929, 7866, 11805, 15746, 19689, 23634, 27581?\nAnswer: 31530","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6 and 78?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12012112 + 2?\nAnswer: -12012110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 15*k**4 + 0*k**2 + 3*k**2 - 18*k**4 + 9*k**4 + 9*k**3.\nAnswer: 3*k**2*(k + 1)*(2*k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 21*z**3 - 352*z**2 - 89*z + 68.\nAnswer: (z - 17)*(3*z - 1)*(7*z + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kq when two letters picked without replacement from pizcccipikzkkq.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.4 - -0.4. Is 8\/11 at most as big as j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(80) + -2 - (sqrt(80) - (sqrt(80) - (sqrt(80) - 2*sqrt(80)))**2*-1) - (-3*sqrt(80)*-3 + sqrt(80)*3 + 1)**2.\nAnswer: -11843 - 92*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-10)\/4*(-4)\/5. Let u(a) = z - 17*a + 7*a - 1 - a**2. Is u(-8) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 13 - 13 + 899*k**3 - 900*k**3 - 2*k**2 - 358*k**4 to b*k**2 + v*k + s*k**3 + u*k**4 + p and give u.\nAnswer: -358","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 10*(6\/4)\/3. Suppose -r - 2 = -6. Suppose 3*w = 2 + r. Which is the nearest to w? (a) 3\/5 (b) m (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1150, -64, 1022, 2108?\n\"Answer: 1086*h - 2236","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000006315026 to seven dps.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 110425 = 27*w. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13047376003 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t. Suppose 30 = 5*v - 3*n, 2*v - 23 = 5*n + 8. Let a(y) = v*y - 4*y + 2*y. Determine d(a(z)).\nAnswer: -z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:11 AM and 12:50 PM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/2 of a litre in millilitres?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -7730565 and -0.01.\nAnswer: 77305.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2022263901 to the nearest integer?\nAnswer: 44970","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.158 (b) -2 (c) -0.3027 (d) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -647 + 649. Suppose 5*o - 1099 = 4*o - 5*p, 4*o - 4432 = -k*p. What are the prime factors of o?\nAnswer: 1109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 671\/2, -0.2233, -2, -5 in decreasing order.\nAnswer: 671\/2, -0.2233, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 97 = -h, -5*k - 38*h = -37*h - 121. What is the nearest to k in -0.3, 3, 0.4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 14.1 (b) 19 (c) -96\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -68 + 8. Is 2 bigger than j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(4320) + sqrt(4320)*-1)\/sqrt(10).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 45 - 52. What is the biggest value in -3, -1, g?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 4 = -0*i. Find the common denominator of 111\/10 + (6 - 6) and (48\/81)\/i*-6.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -202 = 12*b - 634. Let i be 3*1\/(-1)*6\/b. Let j = 2 - 3. What is the nearest to j in -0.3, i, -2\/13?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that -10*w**3\/13 - 84206*w**2\/13 - 588872*w\/13 + 51776 = 0.\nAnswer: -42068\/5, -8, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = -0*z + 20. Let r(s) = -2*s - 2. Let h(n) = 30131 + 3*n - 60259 + 30131. What is z*h(c) - 8*r(c)?\nAnswer: c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -4*v + 17. Let z be m(-3). Let s = z - 30. Suppose 2*o = 4*c - 12, 3*o + 2*c + 0*c + 18 = 0. Sort -3, s, o, -5 in ascending order.\nAnswer: o, -5, -3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s**2 + 15*s - 32. Let a(v) = -50*v + v**2 + 84*v - 49*v + 30. Let r(c) = 6*a(c) + 5*w(c). What is r(14)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2788 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y**2 - 27*y - 31. Calculate the remainder when q(-25) is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q**3 + 7*q**2 + 5*q - 4. Let d be f(-6). Let y = -3377 - -3374. Let z = -440\/1589 - 2\/227. Which is the third smallest value? (a) d (b) y (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 101 - -32011331332?\nAnswer: 32011332033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 21 = -q, -4*q = -4*o - 8 - 8. What is the remainder when 85 is divided by (2\/o)\/((-6 + 8)\/(-110))?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 51 and 15.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(12) - (-2 + sqrt(12)))*-1.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - -162993?\nAnswer: 162989","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the third derivative of -b**5\/60 - b**4\/12 + 5*b**3\/6 - 891*b**2. Let z(r) = r**2 + 4*r - 9. Determine 5*n(o) + 3*z(o).\nAnswer: -2*o**2 + 2*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4bf (base 16) to base 5.\nAnswer: -14330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1841446011?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jlmrooa. Give prob of picking 1 j and 1 o.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -84006, -168026, -252056, -336096, -420146, -504206?\nAnswer: -588276","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 297 is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 506877274.\nAnswer: 2, 661, 383417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/6 in 0.2, -8, -1070, -32?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 1 = 0, 3*w - 2*w - 4*s - 15 = 0. Is w\/(-55) - (-752)\/10 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -1 + 1 + f**2. Let r(z) = -112*z - 270. Let x(h) = -11869*h - 28635. Let i(y) = -1909*r(y) + 18*x(y). What is g(i(n))?\nAnswer: 27556*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -139.6 - -139.8. Which is the nearest to 1? (a) -0.4 (b) v (c) -43 (d) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2*g + 0)*(2*g**2 + g - g) + 2*g - 11*g - 35*g**3 + 32*g**3 - 1388*g + 1388*g + 11*g**3.\nAnswer: 12*g**3 - 9*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/(-2)*(2\/(-2))\/(15\/35).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 636 a multiple of 44?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -56 by -663065.\nAnswer: 56\/663065","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/10*1970\/1970?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 207 + -197. Solve -y = -0*d + 2*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = -7, -4*k = 68*y - 67*y - 40. Solve -4*c = 2*w - 3*c - y, w = -2*c + 12 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0 (b) -0.4 (c) 0.1 (d) -877 (e) -5 (f) 4 (g) -6\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -7*x + 1. Let u(p) = -3*p + 1. Let y(l) = -4*q(l) + 9*u(l). Give y(0).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*k + 7*r - 2*r - 5, -2*k - 5*r = -5. Solve -2*z - 2*h - 15 = -h, k = -2*z - 4*h - 30 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 9.4 in 1, -1379, 1\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = -3*s + 28. Suppose -k + s = k. Let w = 4 + -1. What is the remainder when k is divided by w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the first derivative of 3*r - 1\/5*r**5 - 230 + 0*r**3 + 0*r**2 + 0*r**4. Differentiate t(w) with respect to w.\nAnswer: -4*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 385 minutes after 1:57 AM?\nAnswer: 8:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 252 and 925596?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -40897 at least -40899?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -137\/6 and -4\/147.\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = -3*t + 105. What is the units digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23\/8 of a litre in millilitres?\nAnswer: 2875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 17.6 - 0.130865\nAnswer: 17.469135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -560a0 + -65?\nAnswer: -56155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 4*q**3 - 3*q + 5. Let s(l) = -9*l**3 + 6*l - 11. Suppose -n - 2*n + 42 = 0. Let i(b) = n*h(b) + 6*s(b). Suppose i(u) = 0. What is u?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3736*k + 1888*k + 1875*k + 0 + 0 - k - 2*k + 0*k + 0*k + (0 - 3 + 2)*(k - k + 2*k) - 3*k + k + 0*k in the form r + z*k and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -40 + 23?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1212 - 1511 - 1425 - 1598 = 169*m for m.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -57 + 40. Let p(n) be the third derivative of n**6\/120 + 17*n**5\/60 + 4*n**3 + 43*n**2 + 4. What is the units digit of p(i)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 23\/44 + -15\/4. What is the common denominator of 165\/(-42) - -3 - -3 and p?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q + 2. What is the lowest common multiple of 19 and k(1)?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 17 = 5*q, 0 = -7*q + 2*q - 3*l - 9. Let b be (-1 + (-4 - -4))*q. Solve -5 = b*n - 2 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*j = 258 + 141. List the prime factors of j.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that -2*h**5\/13 - 8*h**4\/13 + 214*h**3\/13 + 12*h**2 - 6912*h\/13 + 15552\/13 = 0.\nAnswer: -9, 4, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(2\/5))**33\/(l\/(l*l*l*l**(1\/18)*l)*l*l\/(l\/(l\/l**(7\/3)))*l) assuming l is positive.\nAnswer: l**(1403\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-41)*u\/(u\/(u\/u**(-3))))\/(u\/(u*u**(-16))*(u**40*u)\/u) assuming u is positive.\nAnswer: u**(-93)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (11 - 18) + 17 + 1 + -7 + -10 + 24?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-10) + 1950\/(-250)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 646630.4mg to nanograms.\nAnswer: 646630400000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(143)*1)\/(sqrt(44)\/(sqrt(20)\/sqrt(5))).\nAnswer: 6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 26*i + 364. Calculate c(-12).\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (6\/4)\/(4\/(-8)). Let o(v) = -4*v + 5. Let c(u) = 3*u - 4. Let x(z) = -3*c(z) - 2*o(z). Let p be x(q). Sort p, 1, -5 in decreasing order.\nAnswer: p, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -111593 + 111594. Let w(j) = 6*j + j**2 - 2*j + 3*j**3 - 2 - 2*j. What is w(b)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -534\/7 + 76. Let o = -0.059 - -23.059. Let g = o - 21. What is the closest to m in 1\/8, g, -3?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -16463405103079844\/90735 - -181444923164. Let h = x - 2\/6049. Find the common denominator of h and 31\/27.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1925\/23 - -7631\/92. What is the fourth smallest value in -3\/190, w, -1\/10, -5?\nAnswer: -3\/190","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 19504686 to the nearest integer?\nAnswer: 4416","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -300 - -306. What is the least common multiple of u and 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -13 + 17. What is the third derivative of -3*b**4 + 2*b**o - 2*b**2 - 2*b**4 wrt b?\nAnswer: -72*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 59 - 31525\/507 - 4\/9*-3.\nAnswer: -24\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7 + -2. Suppose -26 = -b*l - 6. Solve 2*z = -l*k + 8, 3*k = -7*z + 2*z + 13 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 2*j - 356. Let c(h) = 6335*h**2. Determine o(c(z)).\nAnswer: 12670*z**2 - 356","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 566 is divided by 57?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -443, -17\/55, 2\/7, -0.4, -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -384 - 274 = 22*c - 69*c for c.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 81*z = -109*z - 95*z - 4845 for z.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7813?\nAnswer: 13, 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -55*q**3 + 0*q + q + 310*q**3 - q.\nAnswer: 255*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1159050938?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 84 = 4*h, 2*h + f = -10 + 52. Let u = h - 29. Let x = u + 3. Let d(o) = o - 1. Calculate d(x).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5, 17, 13, -25, -115?\nAnswer: -275","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 63*z - 4076. Let t be k(64). What is the nearest to 2 in 1\/3, -4, 0.3, t?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the third derivative of v**5\/60 - v**4\/6 - 5*v**3\/6 - 7*v**2. What is i(6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5\/2, 9, 3, -8.8?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((1 - 1 + 2)*(-6 + 1 + 3) - 1 + 2 + 2 + 0 + 2 - 1 + (-2 + 0 + 0)*(3 + 0 - 2))*(-4*s + 4*s - 2*s) to x + g*s and give g.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-14)\/35)\/(-3*6\/(-585)).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) -0.5 (b) 4 (c) 0.06 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/(-5)*(-5)\/2. Let i be (-5 - -2)\/(6\/(-8)). Suppose -m = -i*m + 15. Put m, 1, p in ascending order.\nAnswer: p, 1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4292993ml to litres.\nAnswer: 0.0004292993","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*l - 4*c + 4 = -4*l, -3*c + 3 = 0. Let q(j) = 2*j**2 + 1. Let i be q(l). Suppose 9*v + 8 = 13*v. What is the smallest value in -1\/2, i, v, -0.3?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1\/4 of a hour?\nAnswer: 15","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 4*x**2 + 8*x - 32. Give i(4).\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s + 3880 = 3841 for s.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 476 = -121*k + 53*k for k.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 38488 + -38484. Solve -f*u + 5*w = 33, u + 10*w + 5 = 8*w for u.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10 - (10 - 14)) + 2?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 3606529?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 290604154.\nAnswer: 2, 17, 419, 20399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y - 58. Let r(n) = n + 29. Let k(h) = -3*m(h) - 5*r(h). Let w be k(11). Suppose 3*t + 72 = w*t. What is the greatest common divisor of 198 and t?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1659 is divided by 37.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 at least 0.042?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -386*g - 5*g**3 + 962*g + g**3 - 576*g + g**3.\nAnswer: -3*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-2)\/3)\/((-24)\/(-64926)). Let j = 1771 + o. Find the common denominator of j and 51\/20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4360 (base 8) in base 5?\nAnswer: -33123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -396*z**3 + 174089*z**2 - 1427*z + 14057 wrt z.\nAnswer: -2376*z + 348178","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9)\/(-105)*(-20)\/(-114)*19?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pqkzgkm. Give prob of picking 1 p, 2 k, and 1 g.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in -1\/4, -306, -9, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v**3 + v**2 + 2. Let y(t) = t**2 + 1. Suppose 7*w - 5 = 2*w. Let k(d) = w*p(d) - 2*y(d). Find the third derivative of k(j) wrt j.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 12 = -3. Suppose -4*m - 2*c = -c, m - c - k = 0. What is the nearest to 0 in -2.7, m, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 1)*(-2*h - h + 5*h)*(14 + 61 - 18)*(0 - 14 + 6).\nAnswer: -912*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*n**2*u**3 + 2*n**2*u**2 - 513*n**2*u - 7*n*u**3 - n*u**2 + 931*u**3 - 2*u**2 wrt u.\nAnswer: -12*n**2 - 42*n + 5586","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 687 minutes before 10:20 AM?\nAnswer: 10:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 2534, 5 in descending order.\nAnswer: 2534, 5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -4*v - 9. Let r be j(-3). Suppose r*y = 7*y. Suppose -2*g = 4, h = -y*h + 4*g + 62. Is 27 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 3*p - 21. Let q be d(7). Suppose -4*m - 3*m + 35 = q. Suppose 8 = -m*r + 3. Let v(a) = 20*a**2 - 2*a - 1. Give v(r).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 219488719 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(119) + 6*(sqrt(119)*2 + sqrt(119)))\/sqrt(7) - -6*(-3*(sqrt(17) + -1))**2.\nAnswer: -89*sqrt(17) + 972","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2.237927 + 2.236. Round g to 3 dps.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the second derivative of -z**5\/30 - z**3\/6 - 3*z**2\/2 - z. Let h(p) be the first derivative of c(p). What is the first derivative of h(b) wrt b?\nAnswer: -4*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 2.29644 days?\nAnswer: 3306.8736","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = 0, -9*p - 2*g = -4*p - 190. What is the smallest common multiple of 4 and p?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -q + 3 - 3 + (-5 + 1 - 14)*(3 + 2*q - 3).\nAnswer: -37*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 19\/4 of a meter?\nAnswer: 475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 333, 287, 241?\n\"Answer: -46*g + 379","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 20, 4, 7, -3 in increasing order.\nAnswer: -3, 4, 7, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*w + 552 - 10*w**2 + 4*w**2 - 551)*(-135*w + 33*w - 114*w).\nAnswer: 1296*w**3 - 2160*w**2 - 216*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -22 - -36. Calculate the remainder when 37 is divided by c.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 15 - 24. Let g = o - -14. Suppose 5*k = -5, -2*p = 2*p - g*k - 17. What is the units digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, 1\/5, -1.6, -0.01, -16\/37 in descending order.\nAnswer: 1\/5, -0.01, -0.2, -16\/37, -1.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 2 x when three letters picked without replacement from qqqxqxqxqqqqqx.\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -14 + 8. Let v = 20 + a. Let u = 5 + 3. Calculate the remainder when v is divided by u.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j**2 - 7*j - 3. Let h be c(8). Suppose h*w - w - 32 = 0. Let p = w + 14. List the prime factors of p.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 6) in base 2?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13, 1, -34, 0, -23150 in increasing order.\nAnswer: -23150, -34, 0, 1, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-17)\/2*3008\/(-1598). Solve 9*z - u - 47 = 0 for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from keeueukeaa. Give prob of picking 2 a and 1 k.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4986 + -4699. What is the remainder when o is divided by 91?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 287*i**3 + 14*i**2 - 43*i + 5. Let m(z) = 96*z**3 + 5*z**2 - 16*z + 2. What is -3*l(p) + 8*m(p)?\nAnswer: -93*p**3 - 2*p**2 + p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x when two letters picked without replacement from {x: 6, m: 12}?\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2515 - 41 - 538 = -14*c. Put c, 2, -2\/9, -4 in ascending order.\nAnswer: -4, -2\/9, 2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 253429 < 253444?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -2*j + 7. Let t(u) = -4*u + 14. Let h(b) = 3*t(b) - 7*z(b). Does 11 divide h(9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -0*d - 3*d. Let s be d\/9 - (-114)\/(-27). Let l(t) = -t**2 - 5*t + 3. Let g be l(-6). Sort g, 3, s in descending order.\nAnswer: 3, g, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q**3 + 5*q**2 + 6*q + 3. What is b(6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 43274180 to the power of 1\/3, to the nearest integer?\nAnswer: 351","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 3, o: 4}. What is prob of picking 3 b?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t**3 + t**2 + t - 1. Let f(h) = -14*h**4 - 3*h**3 - 9*h**2 - 3*h + 3. Let n(o) = f(o) + 3*j(o). What is the third derivative of n(y) wrt y?\nAnswer: -336*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 35 and 560.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 2 - (1 - -1) - 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -349, -1298, -2857, -5038, -7853?\n\"Answer: -2*n**3 - 293*n**2 - 56*n + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 14*o - 7. Let k(g) = -27*g + 13. Let t(r) = -5*h(r) - 3*k(r). Let p be t(2). Find the third derivative of -2*z**4 + p*z - 7*z**2 - 18*z wrt z.\nAnswer: -48*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r - m + 600874 = 600871, 3*r = -5*m + 37 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (15\/1 - (1540\/21)\/44)*(-6)\/44.\nAnswer: -20\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -855, -2284, -4285, -6852, -9979, -13660?\n\"Answer: s**3 - 292*s**2 - 560*s - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2595 = 462*h - 1101 for h.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3740574 divided by 9518.\nAnswer: -393","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (31\/465*-96)\/((-2)\/5)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8888?\nAnswer: 2, 11, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 50519769.5 rounded to the nearest 100000?\nAnswer: 50500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -26 - -25.73. Let r = z - -3.47. Let l = 3.1999935 - r. What is l rounded to six dps?\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 294 and 168.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1 > 398?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 601199.1 micrometers to meters.\nAnswer: 0.6011991","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 20 = v. Suppose -v*b = -50 - 90. Suppose 4*f + 8 = 6*f. Calculate the highest common factor of f and b.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 2\/5, 3, 1\/20, 27\/668, -5\/6, 4?\nAnswer: 27\/668","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 388 (base 13) to base 6\nAnswer: 2511","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7\/52, -8, -5, 3, -0.3 in decreasing order.\nAnswer: 3, 7\/52, -0.3, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = 2*h + 5*j + 7, -2*h + 2 = 2*j. Suppose h*v - 16 = 18. Calculate the remainder when (2*1)\/(2\/33) is divided by v.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1556276 (base 8) to base 6\nAnswer: 13350022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -77 by -772863.\nAnswer: 11\/110409","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 2*p = -4, 4*m = 21*p - 16*p - 16. Let r(y) = -5*y - 26. Give r(m).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2 - -37?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 951177 is divided by 52?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*sqrt(975))\/(sqrt(6)\/sqrt(72))*-6)**2.\nAnswer: 10530000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 19 = 2*m, -26*d + 7 = 4*m - 25*d. Solve -5*a + 4*k + 7 = 0, 6*a - k - 7 = m*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 206 = 214. Suppose -5*z - 5*o - 7 = -27, 4 = -z - 5*o. Suppose 3*s = z*s - 36. Calculate the highest common divisor of s and i.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q - 15. What is t(19)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.2 (b) 2\/11 (c) 2 (d) -849 (e) 1 (f) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -11, 1\/6, -0.3, 1, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 2*c**3 + 4*c**2 + c - 4. What is w(-3)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -16914 smaller than -17108?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 4*a**3 - 3*a + 2. Let o be (22\/(-6) + 5)*6\/(-4). Let x(p) = -16*p**3 + 13*p - 9. What is o*x(i) - 9*c(i)?\nAnswer: -4*i**3 + i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.60416 - -0.10416. Which is the nearest to -63.3? (a) q (b) 3 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -61\/11661 and 74\/123393?\nAnswer: 479628591","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -0.08689*0.01\nAnswer: -0.0008689","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -186122 at least 2753?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.5125 rounded to one decimal place?\nAnswer: -3.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -14*u**2 + 17*u - 15. Let d(k) = -3*k**2 + 4*k - 4. What is 2*b(q) - 9*d(q)?\nAnswer: -q**2 - 2*q + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-54)\/(-12))\/9)\/(((-26)\/(-8))\/1).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1196*m + 16*m**2 + 1196*m.\nAnswer: 16*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g + 5*x = 15, -4*x + 0 + 20 = -4*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 423 minutes after 12:07 AM?\nAnswer: 7:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 21 + -13. Solve -5*j - 3*l = -8*l, 5*j = l + o for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 - -1. Solve 20 = u*l - 7*l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4432127 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -327, -589, -1237, -2457, -4435, -7357, -11409, -16777?\n\"Answer: -31*x**3 - 7*x**2 - 24*x - 265","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -92.3 + -0.7. Let m = u - -139. Let z = m + -41. Which is the biggest value? (a) -2 (b) z (c) -4\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 678 = 5*j, -6*i + 5*j - 899 = -10*i. What is the least common multiple of 8 and i?\nAnswer: 1768","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -2*g**2. Let i(b) = 2859002784*b. Determine i(j(l)).\nAnswer: -5718005568*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 606*q - 3. Let k be w(-3). Let u = k + 1053. Let g be (u\/(-10))\/(1\/1250). Round g to the nearest 10000.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 2 = 20. What is the remainder when z is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the second derivative of s**4\/14 - 16*s**3\/7 + 192*s**2\/7 + 8*s. Let x(r) = 0. Calculate r.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand f - f + f**2 - f**2 - 9*f**2 + 0*f**2 + 0*f**2 + 2*f**2 - 3*f**2 + (0 + 2 - 4)*(4*f**2 + f**2 - 6*f**2) + (-7*f + 7*f + f**2)*(-5 + 5 + 3).\nAnswer: -5*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3739 is divided by 44?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -a**2 - 7*a - 3. Suppose -5*q - 7 = 23. Calculate l(q).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 11128\/5 or 2225?\nAnswer: 2225","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -75 + 138. Calculate the greatest common divisor of 9 and p.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 13268 and 124.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3.53 + -3.7. Let t = o + 0.1. Let s = 3.07 + t. Which is the smallest value? (a) -0.2 (b) s (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56 = -9*a + 101. Is a\/((-10)\/(-6)) - -88 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the second derivative of 0 + 6*n**2 - 12*n + 1\/3*n**4 + 8\/3*n**3. What is z in l(z) = 0?\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1168820457?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2279\/5*q + 1\/5*q**3 - 2809 + 101\/5*q**2 = 0 for q.\nAnswer: -53, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2*-8)\/(19 + (10 - 28)).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1067333 to the nearest integer?\nAnswer: 1033","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j**2*j*j**(-6))\/((j\/j**(3\/5))\/(j**(-1)\/j)))**27)**(-44) assuming j is positive.\nAnswer: j**(32076\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*g + 174834 = 26*g. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -215879161*r**2*w**3 - 13993*r**2*w**2 + 7544*r**2 wrt w.\nAnswer: -1295274966*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 5, -1\/834 in descending order.\nAnswer: 5, 4, -1\/834","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -38932 (base 11) to base 6.\nAnswer: -1105503","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5, -2, 0.1, -277046, -7, -0.4?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 17 and 66793.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the first derivative of -1\/24*s**4 + 0*s + 0*s**3 - 1\/60*s**5 - 5 - 1\/2*s**2. Let b(n) be the second derivative of u(n). Let b(r) = 0. Calculate r.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 99, 77, 55, 33, 11, -11?\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 2*w**3 - 8*w**2 - 5*w + 1. What is l(3)?\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -5*n + 42. Let s be y(0). Let b(d) = -102*d - 42. Let x(g) = 15*g + 8. Let o(u) = -44*u - 23. Let k(r) = -3*o(r) - 8*x(r). What is s*k(m) + 5*b(m)?\nAnswer: -6*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 162, -1, -7, 8, 1, 5 in decreasing order.\nAnswer: 162, 8, 5, 1, -1, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -2*w - 7. Let m be (-82)\/(-8) + 1\/w. Let i = -0.0835 + -0.0165. Which is the nearest to i? (a) m (b) -1 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 2*s**2. Let h(p) = 8*p**2 + 257768*p. Determine h(r(z)).\nAnswer: 32*z**4 + 515536*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1112, 1862, 3076, 4724, 6776?\n\"Answer: -5*n**3 + 262*n**2 - n + 856","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 468872, -0.4, 0.1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + (-1 - (12 - 2)) - -3.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*sqrt(288)\/(4*sqrt(24)\/sqrt(4))*-5.\nAnswer: -15*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -10001 (base 4) to base 14\nAnswer: -145","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 1 - 6)*(-2*s**4 - 18*s**3 + 8 + 18*s**3).\nAnswer: 4*s**4 - 16","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -2*v**2 - 9*v - 5. Let o = -210 - -131. Let w = o + 73. Give r(w).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 213 a factor of 12993?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 14\/(-8) + ((-36450)\/216)\/(-25). Let y = -3 + -2. Which is the second biggest value? (a) 2.8 (b) 4 (c) l (d) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 816*n = 1200*n - 4450176. What is the units digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = -5*g + 108017 + 55185, -2*d = -5*g - 326329. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*-5*2*(sqrt(147) - 5*sqrt(147))*6)**2.\nAnswer: 33868800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 4, 72, -19 in descending order.\nAnswer: 72, 4, -4, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 5*h = -5, 3*p + 4*h + 10 = 2. Solve -p*b - 14 = 2*w, 0*w + 3*b = 3*w + 3 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 8, g: 6, x: 1}. What is prob of sequence ggt?\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that 2*t**4 - 348*t**3 + 13608*t**2 + 34352*t - 6030144 = 0.\nAnswer: -18, 38, 116","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -55.008 + 0.008. Let j = n - -53. Which is the second biggest value? (a) -2\/5 (b) j (c) 1 (d) 1\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 867.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 2*u**4 + 140*u**2 + 116*u - 8. Let j(d) = -2*d - 1. Let r(f) = 6*j(f) - q(f). What is the second derivative of r(l) wrt l?\nAnswer: -24*l**2 - 280","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 51 + -45. Suppose -19*c + 65 = -n*c. Let o(p) = p**3 - 3*p**2 - 5*p - 5. Calculate o(c).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -16*d**2 + 4399*d + 638292. What is f(-105)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a decade in years?\nAnswer: 1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/4*(-5)\/270*-16.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:40 PM and 4:14 AM?\nAnswer: 394","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 12\/9*(81\/12)\/3. Suppose -4*l = 3*v + 13409984, 4*v + 6*l + 17879988 = o*l. What is v rounded to the nearest one million?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*r = 26*r + 4*l + 24, 13*r = -l - 42 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 3*d**3 + 13*d**2 - 6*d + 17. Let o(v) = 7*v**3 + 26*v**2 - 11*v + 34. Let t(b) = 4*o(b) - 9*z(b). Is t(14) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 166 minutes before 8:10 PM?\nAnswer: 5:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 476 + -432. What is the remainder when 87 is divided by n?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(90)\/(sqrt(9) + -4*sqrt(225)))\/(sqrt(55)\/(-1*sqrt(11))*5).\nAnswer: sqrt(2)\/95","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 13396 from 86782.\nAnswer: 73386","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*g**2 + 1847 - 1847.\nAnswer: -2*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Are -42975841 and -42975839 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8 - -1. Let k(d) = -3*d - 13. Let n(w) = -7*w - 6. Let z(u) = -3*u - 1. Let q(f) = n(f) - 2*z(f). What is s*q(c) + 2*k(c)?\nAnswer: c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 14) in base 9?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -21 (base 9) to base 13\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uukzpuugzk. Give prob of sequence ku.\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*h**3 + 3 - 3)*(6*h - 6*h - h - 7*h + 3*h + 3*h - 7*h + 2*h + 3*h + (-1 + 1 - 1)*(-1 + 1 + 2*h)).\nAnswer: 18*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (c - 2*c + 3*c)*(-5*c + 3274407 + 3*c - 3279872)*(2 + 0 - 3)*(1 - 3 - 1 + (-2 - 4 + 4)*(3 - 6 + 1)) in the form l + b*c**2 + x*c and give b.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-12000006)\/(-15) - (-2)\/(-5). Round z to the nearest 1000000.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -223 + 227 - (0 - -5).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6233 is divided by 422?\nAnswer: 325","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*o = -3 + 243. Which is smaller: o or -7?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -184\/5, -2, -10, -0.3, -0.5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h**3 + 6*h**2 - h + 10. Let q be l(6). What is the nearest to 15 in 2\/9, q, 1, 3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r**3 - 3*r**2 - 5*r - 4. Suppose -2*g + 10 + 0 = -2*x, 4*x = -3*g - 6. What is the lowest common multiple of 2 and l(x)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 3*y**2 - 11*y + 3. Let x be i(6). Suppose -3*s + 3 = 0, -2*j + j + 3*s = -x. Does 11 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 45596\/38 - 6\/(-285)*5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1757586.\nAnswer: 2, 3, 53, 5527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -67*s - 5362416 = -211*s. What is the tens digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6 in 2\/9, 1\/4, 1, 1\/2, -1635?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -28 - -20 - -12 - (-2 - 2).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-141*1\/(-6))\/(53\/97096)?\nAnswer: 2, 47, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n. Let v(j) = -58*j. Determine u(v(z)).\nAnswer: -58*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Are 62 and 87 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 - -536.61\nAnswer: 536.71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Add -111143 and 723.\nAnswer: -110420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 601420187 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 + 6. Let r = 2 - 6. Let b = r + 4. Does d = b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 588, 1173, 1756, 2337, 2916, 3493?\nAnswer: 4068","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (82\/287)\/(4\/(-7)).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*i**3 + 0*i**3 - i**3)*(0*i + 3*i - 2*i) + 40*i**4 - 67*i**4 + 57*i**4.\nAnswer: 32*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = -7*g + g. Suppose 0 = g*b + b. Factor 2*f + 18*f**2 + 49\/2*f**5 + 63*f**4 + b + 109\/2*f**3.\nAnswer: f*(f + 1)**2*(7*f + 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3.54 - -1.46. Put n, 1\/5, -2\/25 in decreasing order.\nAnswer: n, 1\/5, -2\/25","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 384 - 248. Let x = w + -36. What are the prime factors of x?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8205277.\nAnswer: 419, 19583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 (base 11) in base 7?\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 108*a - 119*a - 11. What is the nearest to 2\/7 in -2, 2\/5, a, 0.8?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-7 + 3)\/1 + 77. Let b(j) = 50*j + 323. Let q be b(-5). Calculate the highest common factor of q and w.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 2*j**3 + 3*j - 7. Let a(y) = y**3 + 2*y + 1. Let d(p) = -7*p**3 - 14*p - 2. Let i(t) = 6*a(t) + d(t). What is -7*i(m) - 4*z(m)?\nAnswer: -m**3 + 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43*v - 118 - 554 = 44 - 28 for v.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2 - 60\/27)\/(-1). Let x = -0.14 - -0.04. Is x at most as big as w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 73814?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-71 - (-152 - -67)) + 44.\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 17390?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 4*w - 4*y, 5*w - 20 = -2*y - 3*y. Let g be (-2*w\/(-120))\/((-12)\/(-9)). Which is greater: g or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*c - c. Let v = c + 10. Suppose -3 = -g - 3*o, 3*o = g - 1 - 2. Solve -z - 2 = 4*t, -t + v = -8*z + g*z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*y - 5*c, -c - 6 = 229*y - 231*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 779 is divided by 612?\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqeeeeeeeq. What is prob of picking 3 q?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (34\/(-36))\/((-522)\/2349) - (3 - -1).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(1 - 6\/4).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 25856 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the third derivative of -b**6\/120 - b**5\/12 - b**4\/8 + b**3\/3 - b**2. Let q be (2 - 0)\/((-2)\/4). Calculate v(q).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -102 in 8, 1, -1.51, 1\/2?\nAnswer: -1.51","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4330434 - 0?\nAnswer: 4330434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 6 - -1 - (6 + (-13 - -23)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t**2 - 9*t - 34. Let x be m(-3). Let n(q) = -192*q**2 + 379*q**x - 190*q**2. Let k(o) be the third derivative of -3*o**4\/4 + o**2. What is n(k(v))?\nAnswer: -972*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in six fifths of a centimeter?\nAnswer: 12000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 3*a - 4*d = 11, -4*a + 12 = 2*d. Suppose -4*m - 19 = 3*h, -h + 2*h + 2*m + 9 = 0. Let r = -217 + 213. Sort r, a, h in descending order.\nAnswer: a, h, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 14, 7, 0?\n\"Answer: -7*t + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 12833 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: Suppose -l = -32 + 97. Let z = l + 69. Factor 2*f**2 + 6*f**2 - 5*f**2 - z*f + 7*f.\nAnswer: 3*f*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the second derivative of -r**5\/5 + r**4\/12 - 4*r. Find the third derivative of d(x) wrt x.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-144)\/108*(2 - (0 + -1)). Let j = -3 - -3.3. Let i = -0.4 + j. Which is the closest to -0.3? (a) i (b) 1\/4 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = j + 6. Let v be 6*((-6)\/j - 1). Suppose 2*w - v = -w. Solve 5*m + 13 + 7 = 0, 3*s + w*m - 4 = 0 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*a + 5*c - 56371 + 56364, 8 = 3*a + c for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 183 + -2029\/11. Let s = 154\/39 - 17509\/4433. Let y = s - 13979\/2046. What is the common denominator of w and y?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -2*w**2 - 52*w + 225. What is t(-30)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20919484.\nAnswer: 2, 5229871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the second derivative of 103*k**3\/3 + 17*k - 3. Let d(x) be the third derivative of -x**4\/24 - 69*x**2 + 1. Give d(c(g)).\nAnswer: -206*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -48 - -55.4. Let d = -3.5 + b. Let p = 0.9 - d. Put 2, -2, p in decreasing order.\nAnswer: 2, -2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1e - -3?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -245 (base 7) to base 3.\nAnswer: -11212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*i + f - 425 = -456, 6*f - 11*f - 59 = 2*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5351*y - 5094*y - 2827 for y.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 21*s - 5. Let a(k) = 25*k - 6. What is 4*a(m) - 5*l(m)?\nAnswer: -5*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 15) to base 13\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7119, 7074, 6995, 6876, 6711, 6494?\nAnswer: 6219","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 1\/78, 4, 1.28.\nAnswer: 1\/78, 1.28, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xaea. What is prob of picking 1 x and 1 a?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -16*k + 68. Let u be c(-15). Let d = u + -2157\/7. Suppose -5*p - 2*n + 4*n + 31 = 0, 12 = -4*n. What is the nearest to 0.1 in d, -12, p?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 34?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1, 78, -1, -5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6\/(-21)*(-91)\/13. Sort 1, -16, z, -2.\nAnswer: -16, -2, 1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (140\/(-112)*12\/(-10))\/(12\/1344). What is the greatest common factor of m and 17304?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n + 78 = -234. Let q(p) = -p**2 + 10*p - 6. What is the remainder when n is divided by q(6)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -q**3 - 9*q**2 + 66*q - 56 = 0. What is q?\nAnswer: -14, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 14*1*(-4)\/(-8). Let o(x) = -x**2 + 8*x + 5. Let y be o(n). Let h = 16 - y. Calculate the lowest common multiple of h and 2.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*z**3 + 3359729*z**2 - 5599540*z = 0. Calculate z.\nAnswer: 0, 5\/3, 1119908","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 28*4*7075\/(-70750).\nAnswer: -56\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 5*b + 28 = 0, 128 - 112 = 2*b. Solve -v*n + 15 = 0, 145*o - 147*o - 3*n + 19 = 0 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3039190167 to the nearest integer?\nAnswer: 1449","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2 - -1. Suppose 2*x = 8, o*x = 3*l - l - 4530. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1 + -1 + 2 + -21. Suppose -9*j + 13*j - 12 = 0, -3*j = -3*o + 54. Let z = o + x. Solve -d = z - 6 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the third derivative of 947*f**5\/60 - 52*f**2 - 5*f. Let a(c) = 6*c**2. Determine a(g(o)).\nAnswer: 5380854*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 43\/6560082 and 34\/32593?\nAnswer: 72160902","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2504922, -10019684, -22544286, -40078728?\nAnswer: -62623010","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 92 divide 140484?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = 2*u + 12. Let p = -256 + 255. Let f be u\/((-88)\/26) + p. What is the closest to -2\/3 in -0.1, -0.3, f?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7*c**3*d**5 + c**3 - 7070*c*d**6 + 9125*c*d**2 wrt d?\nAnswer: 420*c**3*d**2 - 848400*c*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1314 and 638?\nAnswer: 419166","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6 and 58?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-189)\/(-15) - 4\/(-10). Suppose 4*z = o - 1. What is the highest common divisor of 9 and z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.050274 - -0.4.\nAnswer: 0.349726","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*(-5)\/7*2\/5?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -474 + 475. Put -2\/7, -50, t in decreasing order.\nAnswer: t, -2\/7, -50","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -4, -1, 69, 1, 5, 124 in decreasing order.\nAnswer: 124, 69, 5, 2, 1, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1829252 to the nearest integer?\nAnswer: 1352","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 1, h: 1, t: 3, p: 2}. What is prob of sequence jpht?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 85\/224 and 25\/32.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vlgc when four letters picked without replacement from glcwcwv.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -83 - 109 = -4*c + 4*d, 0 = 5*c + 2*d - 268. What is the least common multiple of c and 40?\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 414\/45 + (-3)\/45*3. Let v be (-4)\/(2 + 2) + -1. Let u be ((-5)\/30)\/(v\/(-4)). What is the nearest to -2 in -1, g, u?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 206*b**4 - 265*b**4 - 295*b**4 + (-1 + 2*b + 1)*(0*b**3 - 5*b**3 + 4*b**3) - 2*b**4 - 3*b**4 + 3*b**4.\nAnswer: -358*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5064898 and 4?\nAnswer: 10129796","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(33) - (-2*sqrt(825) + sqrt(33))) + sqrt(33) + (-2*sqrt(297) - sqrt(33)))\/(1*sqrt(243)*4).\nAnswer: sqrt(11)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -q**2 - 2*q - 2*q**3 - 304*q**4 + 2*q - 95*q**4 - 26*q**4 + 2 to x*q + d*q**2 + z + t*q**4 + r*q**3 and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 133239 to the nearest one thousand.\nAnswer: 133000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4865 (base 12) to base 5.\nAnswer: 230031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -27145800 to the nearest 1000000.\nAnswer: -27000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -3*(-435)\/(-18)*(-296)\/(-370)?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 88805 - 88793. Suppose -4*q + 5*u = -1071, -q + 4*u + 254 = -0*q. Calculate the remainder when q is divided by m.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (19 - -86) + -76 - 49?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 3*a = m - 8, -m = 0. Suppose -3*w + n = 3, 0*n = 3*n. Let v = w - a. Solve 5*q + v = 2*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d**3\/7 + 17*d**2 - 242*d\/7 = 0. What is d?\nAnswer: -121, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3427170.\nAnswer: 2, 3, 5, 71, 1609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -94930 - 7*g - 95892 + 190822.\nAnswer: -7*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k**34*k)*(k*k**(-1\/34)\/k*k)\/k)\/((k**(-8\/7)\/k)\/k*k*k**(-19\/5)))**(-2\/69) assuming k is positive.\nAnswer: k**(11141\/13685)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*z + 33959 = 140990 + 461525. List the prime factors of z.\nAnswer: 2, 7481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = w**3 + 13*w**2 + 10*w - 4. Let i be o(-12). Let j = 18 - i. Is j less than -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 - ((-1 - 7) + 3 + -2).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -11*i - 3 + 6*i + 4 + 5 as w + a*i and give w.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o**3 - 13*o. Determine i(-4).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.3 (b) 17 (c) -2\/7 (d) 3 (e) 0.4 (f) -172\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 146*n**3 - 711 - 702 + 671*n**2 - 1332*n**2 + 1413 + 661*n**2.\nAnswer: 146*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 192272 and 148108?\nAnswer: 244","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (516\/4)\/3 + 3\/3. Let i(v) = -3*v + h - 44. Let f(w) = 20*w**2. Determine f(i(l)).\nAnswer: 180*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5 and 163?\nAnswer: 815","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/u**(2\/15))\/u**(-1\/5))**(-1\/11)*u**(-1\/3)\/u*u\/(u\/((u**(1\/4)*u)\/u))*(u*u*u**(-1))**(31\/4) assuming u is positive.\nAnswer: u**(1084\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yllyxfpm. Give prob of picking 1 x and 1 l.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 496 minutes before 4:49 PM?\nAnswer: 8:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o**2 + 11*o + 13. Let d be -4 + 1 + -9 - -2. Let p be z(d). Let q(y) = 2*y + 2. Let h(j) = 2*j + 3. Calculate p*h(u) - 4*q(u).\nAnswer: -2*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 19923 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6136, -6132, -6118, -6088, -6036, -5956, -5842, -5688?\nAnswer: -5488","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.9 and -31.\nAnswer: 27.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l**3 + 18*l**2 - 2*l - 33. Let s be q(18). Do -69 and s have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 1, r: 2, p: 1, u: 12, n: 1}. What is prob of picking 2 r and 1 p?\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5 + -1. Let x = -7 - -12. Suppose -4*d + 2*u - 22 = 0, -5*d + 2*u - 30 = -x. Which is the third biggest value? (a) -0.5 (b) y (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = -3*g - 4, -3*k - 22*g + 17*g - 6 = 0. Let v be k\/11 - ((-7926)\/11)\/3. What is the highest common factor of 32 and v?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 633212 = -8*k + 9*k, 5*m - 15 = 0. Round k to the nearest 100000.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2 - 2fe39ef?\nAnswer: -2fe39ed","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7 + -3. Let g = u - 3.972. What is g rounded to 2 decimal places?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 58869, 117702, 176535, 235368?\nAnswer: 294201","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5389321 or -5389324?\nAnswer: -5389324","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -15 + 5. Let v = 27 + f. What is the remainder when v is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 20 + 28 = 0. Suppose -4*j + 16 = -4*w, 2*j - 15 = 5*w - s*j. Is 6 a factor of w - 65\/(-2)*(-8)\/(-10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 92 = 148. What is the tens digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -11, -128, -443, -1052, -2051, -3536?\n\"Answer: -16*x**3 - 3*x**2 + 4*x + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 10, k: 9}. What is prob of sequence kkcc?\nAnswer: 45\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 29548970 and 35090?\nAnswer: 3190","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -2*d + 3*f, -2*f + 0 - 6 = -2*d. Let r be (-189)\/(-42)*(-6)\/(-9). Put -2, r, d in descending order.\nAnswer: d, r, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 23*h**2 - 6 - 47*h**2 - 34 - 18*h + 23*h**2. Let o be z(-19). Let q = 133 + o. What is the tens digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 6*v - 62. What is h(-19)?\nAnswer: -176","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 16.72 - 18. Let z = -0.72 + 0.6. Let i = s + z. Round i to 0 decimal places.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1418715965?\nAnswer: 5, 71, 223, 17921","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4284422 or -51413069\/12?\nAnswer: -51413069\/12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in one fifth of a century?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2356 times 75020?\nAnswer: 176747120","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-2\/11)\/g)\/g*g\/g**(5\/2))\/((g*g*(g*g**(3\/5))\/g)\/g**11) assuming g is positive.\nAnswer: g**(519\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*z - 4142 - 15184 = 0. Let t = 5448 - z. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-12378)\/(-16) - (-9)\/24. Let c = r + -385. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/(8\/6*9)?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -g + 5*g. Let z(o) = 1 - 17*o + 14*o + 2970*o**2 - 2944*o**2. What is the tens digit of z(g)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 73435457?\nAnswer: 73435457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1873578 * -0.06.\nAnswer: 112414.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b - 1. Let i be v(-3). Let d be 174 + 1\/(-1) + (-1 - i). Suppose n - 1 - 15 = 0. Calculate the greatest common factor of d and n.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -44*v - 16887 + 16887 + v + 0*v + 0*v + (6 + 0 - 4)*(v - v + v) + 2*v + 2*v - 5*v + (2*v - 1 + 5 + 0)*(5 + 5 - 6).\nAnswer: -34*v + 16","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -405*r + 10 = -406*r + 3*b, -4*r - 28 = -6*b for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -77, -154, -277, -440, -637, -862, -1109, -1372?\nAnswer: -1645","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v - 25 = -3*j, 4*v + 3 = -3*j - 4 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*n - 6*n = -5*v + 5, 3 = -5*n + 3*v. Sort 13, n, -244 in increasing order.\nAnswer: -244, n, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - j = j + 4, -2*v - j - 2 = 0. Suppose v = 5*z, 5*k + 6*z - 2*z = 20. Solve -5*c - 8 = -2*n - 2, -12 = -k*n - 2*c for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -114 + 130. Suppose -17 = -11*f + i. Solve f*h = 2*k - 3, 4*h + 3*k = 1 - 5 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.53506797 rounded to two dps?\nAnswer: 0.54","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 14264779 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5339134?\nAnswer: 2, 491, 5437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1678731 is divided by 37?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m**2 + 4*m + 7. Let y be f(5). Let s be -1 + (7\/2 - y). What is the third smallest value in s, 0.3, 1\/7?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5 + -1403344301?\nAnswer: -1403344263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(45)\/sqrt(9)*4 + -4.\nAnswer: -4 + 4*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 472 minutes before 8:36 PM?\nAnswer: 12:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 3*p**3 - 5*p**2 + 5*p - 4. Let n be z(4). Let j(u) = -u - 3. Let s be j(-7). Suppose n = -2*o + s*o. What is the greatest common factor of o and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3133132 (base 5) in base 14?\nAnswer: -150b2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.29044 + 0.288. Round p to 4 dps.\nAnswer: -0.0024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = 3*q - 532. Let c = q - -126. Let z = c - -391. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 3\/5 of a microsecond?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ze when two letters picked without replacement from {e: 2, z: 1, n: 4, t: 4}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 163047226*c**4 - 9755*c**2 + 872*c - 2 wrt c?\nAnswer: 3913133424*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 383*k - 58. Let i be w(5). Suppose -4*l + i = -999. What are the prime factors of l?\nAnswer: 2, 3, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 583*n**2 + 9244*n - 27190905.\nAnswer: 1166*n + 9244","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -3*d**2 - 21734*d. Let m(j) = -2*j. Determine q(m(z)).\nAnswer: -12*z**2 + 43468*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3a - 26a4?\nAnswer: -2722","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, q: 5, z: 3, p: 7}. Give prob of picking 1 q and 1 f.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -91 and -2862433.56?\nAnswer: 2862342.56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 26*n**2 + 28*n**2 - 86*n**2 + 58 - 2*n**4 + 28*n**2 as i*n**3 + k*n**4 + a + c*n**2 + h*n and give a.\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8 - 9) + 1 + (0 - -3).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 22 + (11 + -3 - 25)\/1.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -54 + 55. Let d(q) = 16*q**2 + 2*q - 2. List the prime factors of d(u).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -6 + 10*(-30)\/(-25). Let z(a) = 9*a**2. Let o(u) = -19*u**2. Determine m*o(s) + 13*z(s).\nAnswer: 3*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -44*z**6 + 4*z**4 + 231*z**2?\nAnswer: -5280*z**3 + 96*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 442077355 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 381 - 408 = -9*z. Suppose 10\/3*v**2 + 2\/3*v**z + 8\/3 + 16\/3*v = 0. What is v?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a**3 + a**2 - 1. Let t be 27\/18*(-4)\/6. Let f(c) = 2*c**3 - 6*c**2 - c + 3. Let y(h) = t*f(h) + k(h). Give y(7).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32 is divided by 22?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y**2 + y - 1. Let l(w) = 3*w**2 + 10*w - 8. Let z(v) = -l(v) + 2*m(v). Let q be z(-8). Solve 0*d + q*d + 6 = 0 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 47580 rounded to the nearest one thousand?\nAnswer: 48000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 105b + 5?\nAnswer: 1064","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 15 = 3. Let l(c) be the second derivative of -c**6\/720 + c**5\/40 - c**4\/12 + 2*c. Let j(k) be the third derivative of l(k). Give j(n).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 107, 108, 61, -58, -273?\nAnswer: -608","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 503085 a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 11249997 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 682 minutes after 6:40 PM?\nAnswer: 6:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -4, -5, -1, -40 in increasing order.\nAnswer: -40, -5, -4, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n**(-13)\/n)\/((n\/((n*n*n\/(n\/n**7*n)*n*n*n)\/n))\/n))**(-5))**(-25) assuming n is positive.\nAnswer: n**(-500)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (31\/150)\/((-56)\/32180). Let r = b - -1768\/15. Let f = r - -1\/7. Which is smaller: f or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -35328819, -70657641, -105986477, -141315333, -176644215?\n\"Answer: -i**3 - i**2 - 35328812*i - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 103*k - 170. List the prime factors of j(9).\nAnswer: 757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.15 - -254\nAnswer: 253.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4.83 + 0.17. Let d = x - -3. Let m = -7.9999999 + d. Round m to six dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 9, -6891.\nAnswer: -6891, 2, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h**3 - 5*h**2 + 9*h + 29. Let w be d(-10). Let u = w + -436. Let s = 503\/4 + -124. Which is smaller: s or u?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 5 = 3*f. Suppose 0 = f*b - 0 - 6. Suppose b*x - 5 = 2*x. Calculate the remainder when 8 is divided by x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*g + 15*g + 4*g.\nAnswer: 36*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*-5*(-6*((sqrt(396)*3)**2*3 + sqrt(396) - -2*((sqrt(396)*-3)**2 - sqrt(396))) + 1).\nAnswer: -3207570 + 1080*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n**3 + 4*n**2 + 6*n + 7. Let r be h(-3). Calculate the remainder when 3\/r*88\/(-12) is divided by (-1 + 2 - -1) + 4.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 3, e: 1, p: 1}. What is prob of sequence zep?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 4418098303 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 19815764?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -2275340, -4550454, -6825568, -9100682?\n\"Answer: -2275114*a - 226","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -65*w**3 + 6*w**2 - 249*w + 2. Let x(a) = 129*a**3 - 12*a**2 + 497*a - 4. Let c(r) = -5*s(r) - 2*x(r). What is the second derivative of c(p) wrt p?\nAnswer: 402*p - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by 153.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3\/20 (b) 2\/5 (c) -4\/7 (d) -0.2 (e) -0.07\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = t - 3*t + q, 0 = 5*t + 5*q - 50. Solve -4*j + t*j - 6 = 0 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence czcc when four letters picked without replacement from zzzczczcjccjczzzz.\nAnswer: 9\/476","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j = 5*u - 19, 76*j = 81*j - 3*u + 19 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + g + 22 = 5*p, 5*g + 14 = 3*p. Suppose -p*m = -20*m + 3060. What are the prime factors of m?\nAnswer: 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.9 and 201.\nAnswer: 200.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1.3 - 1.1. Let p = 14.2 + -13. Let y = p - c. What is the third biggest value in -1\/7, y, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxuuxx. What is prob of picking 4 x?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60*s - 23*s + 12160579 = 0. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(1573) + 0 + (sqrt(1573) + (sqrt(1573) + -1 + sqrt(1573) + 2 - sqrt(1573)) + sqrt(1573))**2)*-2.\nAnswer: -28316 - 110*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -0.2784 - 3\nAnswer: -3.2784","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(180) + (sqrt(180) + 0)**2 + -3.\nAnswer: 6*sqrt(5) + 177","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6 + 3. Suppose -11*s + 9*s = -8. Solve -g - q = -s*g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 2*a**2 + 14. Let w be n(7). Let i = 115 - w. Solve -i*m + 12 = -3 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16939205 is divided by 1209943?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -2*y**3 + 7*y**2 - 11*y - 46. Let h(l) = -l**3 + 3*l**2 - 5*l - 23. Determine 7*h(u) - 3*o(u).\nAnswer: -u**3 - 2*u - 23","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -780*c*f**3*j + 55*c*f**3 - 5*c*f**2*j - 5*c*f**2 + 257*c*f - 11*f**2 + 198*j wrt j?\nAnswer: -780*c*f**3 - 5*c*f**2 + 198","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 6 - 4 = 0. Let g = f - -22. Suppose 3*p + 1 = 5*l, -4*l = -5*l + 5. What is the lowest common multiple of p and g?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 92\/(-207)*(-1 + 0)*24. Is p < 12?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1737 not equal to 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Are 5100 and 5100 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -f, 0 = -5*y - f + 4*f - 15. Suppose 0 = -v, -5*t + 4*v - 48 - 157 = y. Which is greater: t or -198\/5?\nAnswer: -198\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -111111 (base 2) to base 14.\nAnswer: -47","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 77832 is divided by 9092.\nAnswer: 5096","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*t**3 - t**3 + 2*t**3)*(3*t - 2*t + 0*t) + 3 - 6 + 2 + t**4 as o + h*t**2 + v*t + k*t**4 + u*t**3 and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -74*s = -57*s + 17 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -11*p**2 + 1 + 29*p**4 - 13*p**4 + 2*p**3 - 18*p**4 as v*p**4 + q + a*p**2 + n*p + i*p**3 and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-7)\/((-7)\/10) + -4 + 3. Solve m*u - 11 = -56 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 123 divide 13483244?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 179 less than 713\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4781738?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1149265615 to the power of 1\/6, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) -3 (b) -2 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -42*l**3 + 145*l**3 + 3*l + 5*l + l + 0*l.\nAnswer: 103*l**3 + 9*l","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Multiply -16078 and 1723.2.\nAnswer: -27705609.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 358?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -4*k. Let q(m) = 55*m + 10. Let h(g) = 51*g + 9. Let x(a) = -253*a - 44. Let b(l) = -22*h(l) - 4*x(l). Let p(d) = 4*b(d) + 9*q(d). Determine p(o(v)).\nAnswer: -220*v + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1128290 is divided by 44?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-2)*d**(-1\/10)\/d*(d**(1\/3)*d*d)\/(d\/d**7))\/((d**7*d)\/(d\/(((d**5*d*d)\/d)\/d)))**(5\/13) assuming d is positive.\nAnswer: d**(241\/390)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/((-5)\/3 - -1). Let a be (14 + -3 + -4)\/1. Suppose 20 = j*p - a. What are the prime factors of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16 - 11 - 18*f - 5.\nAnswer: -18*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in five eighths of a millennium?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3932 take away -22895?\nAnswer: 26827","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 12 = -102. Calculate the highest common divisor of 120 and w.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*z - 4*z - 20 + 6*z + z.\nAnswer: z - 20","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -j**3 + j + 65. What are the prime factors of d(0)?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*a - 1 + 1 + (a + 3*a - 2*a)*(-2 + 4 + 0)*(-17107 + 8695 + 8657))*(9 + 6*a - 9) as u*a**2 + y + s*a and give u.\nAnswer: 5868","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Add together -555.82053449747 and 3.\nAnswer: -552.82053449747","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/(((-1)\/1)\/(-4)). Suppose 15 = -3*m, -3*u - m - 5 = -2*u. Suppose 4 = -4*p + 2*p, -2*j = p - 8. Solve -f + 5 = 4*h - b*h, u = -j*f - 4*h - 23 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 292030\/42 + 1870\/210 + -9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 56821806 divided by 16413\nAnswer: 3462","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -112210021 (base 3) to base 4\nAnswer: -2220130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f and 2 u when four letters picked without replacement from uufffuf?\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 367, 389, 391, 367, 311?\nAnswer: 217","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 51915 is divided by 25957.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 3570b1 (base 13) to base 5\nAnswer: 311202312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z and 2 h when four letters picked without replacement from ghzzhzhzzzhhhzvzz?\nAnswer: 27\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + f - 117 + 20 = 0, 0 = -p - 3*f + 97. Let h = p - 84. What are the prime factors of h?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-34)\/(-136) - (-382)\/8. Factor -37*q**2 + 56 - 3*q**3 - 506 - 615*q + p*q**2 + 77*q**2.\nAnswer: -(q - 15)**2*(3*q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.406 - 1.4. Let s = -0.00599937 + m. Round s to 7 decimal places.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (370409 - 2) + (-24)\/(2 + 6). Suppose 34*z - r = -2*z. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62 = -3*w + 2*v - 102, 0 = -3*v + 15. Let b(x) = -1. Let p(q) = -7*q**2 + q + 5. Let f(m) = 5*b(m) + p(m). Let t be f(-1). Which is bigger: t or w?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 2*v**3 + 6*v + 17. Let z(o) = 5*o**3 + 13*o + 34. Calculate -9*p(l) + 4*z(l).\nAnswer: 2*l**3 - 2*l - 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -399\/8 - -50. Let v = 17622 - 17624. Put q, 3, 2\/11, v in decreasing order.\nAnswer: 3, 2\/11, q, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 3*d = 7, 4*o + 4*d - 13 = 7*d. Let n(m) = -65 + 2*m**2 - o*m**2 + 65. Let w(l) = 7*l + 2. Give n(w(p)).\nAnswer: -98*p**2 - 56*p - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ce when two letters picked without replacement from {v: 6, t: 2, c: 3, e: 2, o: 3}.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in 2\/7, -0.4, 0.3, -4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 26 + -5. Does 10 divide -1 - r*(-3)\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-15744)\/(-14) - 96\/168. Let a = -353 + o. List the prime factors of a.\nAnswer: 3, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 16 = -5*j + 4*k, 20 = 5*j + 3*k. Suppose 0 = y + 2, -c - 4*y = -j*c + 32. Solve -5*b + c + 2 = 0 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and -11\/2095 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 k when two letters picked without replacement from mddk.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8 + 1 + 111*z**3 - 9 + (-2*z**3 + 4 - 4)*(-5 + 5 + 4).\nAnswer: 103*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*(((u**(-1\/3)*u*u)\/u)\/u)\/u)**(-3\/40))**(-24)*u*u**(-2\/5)*u*u**2*(u*u*u**0*u)**20 assuming u is positive.\nAnswer: u**63","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the first derivative of 2 - 1\/4*w**4 + 8\/3*w**3 - 3*w**2 + w. Is t(6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -205, -815, -1831, -3253?\n\"Answer: -203*f**2 - f - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q**2 - 3*q + 6. Let w be x(4). Let f = 2 - -1. Let g be (3\/(-2))\/(2*36\/(-240)). Solve 5*b - g*d = w, f*b + b - 2*d - 2 = 0 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2151? (a) 5 (b) -1\/3 (c) 2\/9 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 425 - ((-8)\/8)\/1?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -5, -0.3, -17040, 2\/3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -230232 (base 6) to base 3\nAnswer: -222210102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 0.8225476 millennia?\nAnswer: 822.5476","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*h = 8*h + 7636. Suppose -25*c - 4*o + h = -20*c, -4*c = 4*o - 264. Calculate the greatest common factor of c and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -327293 or 1\/10?\nAnswer: -327293","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -157*w = -39*w - 1298 for w.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -27 - -26.8. Suppose -3*l + 5 - 2 = 0. Which is the closest to 0? (a) 0 (b) l (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 718128896?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 2*z + 1816 = -11829, p = -4*z + 4555. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1322 + 5532?\nAnswer: 4210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8760)\/365 + (3 + 6)\/((-9)\/(-12))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (12230\/1050 - 29\/609) + -12?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/11 (b) 2\/19 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 56 and 1568.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -56, -100, -144, -188, -232, -276?\n\"Answer: -44*w - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 230\/(-253)*51480\/900\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -6965930, -2 in ascending order.\nAnswer: -6965930, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -1*-151\nAnswer: 151","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 270 + -82. Is r a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*q + 4*r - 1, 139*q - 3*r = 138*q + 22. Let d(h) = -62*h**3 + h**2 - h - 1. Let y be d(-1). Calculate the greatest common divisor of y and q.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:06 AM and 3:05 PM?\nAnswer: 359","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5210?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1 (b) -5\/16 (c) -0.4 (d) -7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -46, -112, -178, -244?\n\"Answer: -66*t + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -132031434 + 4?\nAnswer: -132031430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*b**3 - 449528*b**2 + 25259427848*b.\nAnswer: 2*b*(b - 112382)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 220 = c + 3*r, 5*c - 1044 = -14*r + 13*r. What are the prime factors of c?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1106894.\nAnswer: 2, 553447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3 + -1. Suppose -2*k = -5*k - 3*c + 66, -w*c - 110 = -5*k. Suppose 2*b - k = 46. Calculate the greatest common divisor of 17 and b.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (56\/(-13) - -4) + ((-419862)\/(-1976))\/(-87)\nAnswer: -11\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 166 from 31512.\nAnswer: 31346","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -112 (base 5) to base 16.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k - 4*p = -23 + 43, -5*k = 4*p - 7 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 32727\/31 less than 1056?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 divided by 31.\nAnswer: 14\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 12350 and 13091?\nAnswer: 247","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o**2 + 0 + 0)*(-46*o + 5*o - 68*o).\nAnswer: 109*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-six fifths of a week in minutes?\nAnswer: 52416","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -874.21 + -0.12105076\nAnswer: -874.33105076","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -112*v = -195 + 5 - 258. Suppose 0*i - 3 = -i. Solve 2*x = x - 3*r + 5, -i*x = v*r - 10 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5 (b) -117578 (c) 0.4 (d) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 728.7265 millennia in years?\nAnswer: 728726.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 28 = 3*d. Suppose 4*r + 16 + d = 0. Let f = r - -20. Solve -3*u + u - 4*j - 12 = 0, -f = 2*u + j for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1056*h**3 + 31 - 151*h**2 - 528*h**3 - 24 - 538*h**3 + (-3 + 3 + 1)*(2*h**3 - 2*h**3 + h**3).\nAnswer: -9*h**3 - 151*h**2 + 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -27, 57, 4, -2, 3 in descending order.\nAnswer: 57, 4, 3, -2, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -w**2 - 15. Let d(m) = m**2 - 1. What is 4*d(j) - u(j)?\nAnswer: 5*j**2 + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 3*g**3 + 2*g**2 - g. Let q be m(1). Suppose -5*k = -5*c + 25, 2*c + 2 = -2*k + 4. Solve c*y - w = 9, -q*w + 36 = 5*y + 4 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 372756348?\nAnswer: 2, 3, 17, 609079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 347 divide 369781938?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 1958 = -107. What is the greatest common factor of 59 and j?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1 - 2) + (-1 - -5). Let t(s) = -1. Let b(r) be the third derivative of -r**4\/12 - 5*r**3\/3 + 3*r**2. What is k*b(g) - 8*t(g)?\nAnswer: -2*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 2*x**2 + 6*x + 116. Let s(u) = u - 2. Let q(f) = p(f) - 6*s(f). Let o(a) = -a. Calculate q(o(r)).\nAnswer: 2*r**2 + 128","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -259*5.\nAnswer: -1295","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/25 of a litre?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/5*-5 + 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 9*o**2. What is x(1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17920 is divided by 407?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 282002000 rounded to the nearest 1000000?\nAnswer: 282000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -79134 = 2*g + 4*x, -158268 = -9*g + 13*g - 4*x. Let f = g - -65090. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.2 - 10.2. Let x = -8.93 - v. Let f = -0.43 - x. Which is the closest to 1\/4? (a) -1 (b) 1\/4 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/5)\/((27\/(-9))\/15)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -39a22 + 5?\nAnswer: -39a18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 3 (b) 0.7 (c) 1\/346 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 140273 less than 7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 40 (b) 270 (c) -8\/71\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2876, 2021, 594, -1405, -3976, -7119, -10834?\nAnswer: -15121","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -124383119.4 rounded to the nearest 100000?\nAnswer: -124400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -7*o - 37. Suppose 10*n - 6*n = -24. Let i be g(n). Solve -6 = -i*z + 2*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.17 and 261903?\nAnswer: -44523.51","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2 - -3. Suppose 0*z + 6 = -z. Let c = -6 - z. What is the nearest to c in n, -2, -5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the second derivative of -g**6\/75 + 3*g**5\/25 - 13*g**4\/30 + 4*g**3\/5 - 4*g**2\/5 - 19*g. Factor z(c).\nAnswer: -2*(c - 2)**2*(c - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51\/8 of a microgram in nanograms?\nAnswer: 6375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 49443.993 nanoseconds?\nAnswer: 0.0000000137344425","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 148\/3 + -51. Which is the nearest to -1? (a) -1 (b) -2 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -17*g**3 - 2*g + 1. Give o(-2).\nAnswer: 141","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*v + 5*s = 8*s + 12, -v + 5*s + 2 = 0. Suppose 2*i = -3*i. Solve i = v*n, z - 2*n + 4*n + 1 = 0 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the second derivative of m**5\/10 - m**4\/2 - m**3\/6 + 7*m**2\/2 - 48*m. Let z = -25 - -29. What is the remainder when i(z) is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 520*r**2 + 2*r + 4. List the prime factors of a(-1).\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -509582401, -509582402, -509582403, -509582404?\nAnswer: -509582405","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3)\/6 + 12\/8. Let w = 4 - 2. Suppose w*o = -z - 5, 4*z + 3*o + 20 = 2*o. Put z, 2, u in descending order.\nAnswer: 2, u, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -25 + (-13 - -26) - -25\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -148 (base 11) to base 3\nAnswer: -20102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Total of -144 and 163633064.\nAnswer: 163632920","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 57, 396, 961, 1752, 2769?\nAnswer: 4012","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 20\/12683 and 77\/3159220?\nAnswer: 34751420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10887637?\nAnswer: 71, 89, 1723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g**2\/9 - 29242*g\/3 = 0 for g.\nAnswer: -87726, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 499?\nAnswer: 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(1 + sqrt(1088)) + -1 + sqrt(1088) + -3 + -4 + (-5*(5 + -2*sqrt(1088)))**2.\nAnswer: -4016*sqrt(17) + 109414","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 41*f - 44. Let s be v(2). Let l(b) = -b**3 + 40*b**2 - 63*b + 92. What is the remainder when l(s) is divided by 49?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -570 + 572. Let n(m) = -2*m + 4. What is n(k)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/168*0*-1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of (1216\/(-95))\/(2 - 6456\/3225)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -6322\/5 or -1264?\nAnswer: -1264","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u = 4*u - 40. Let t = 1 - 1. Let p be (48\/(-28))\/(8 + 522\/(-63)). Put u, p, t in increasing order.\nAnswer: t, u, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2787*l*m**3 + 880352*l - 7912*m + 27 wrt m.\nAnswer: -8361*l*m**2 - 7912","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -36 + 81 + -21 + (-11 - 1)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l**5 - 1030*l**4 - 276820*l**3 - 15574530*l**2 - 193982625*l + 729675000 = 0. What is l?\nAnswer: -75, -23, 3, 376","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Are -1254\/6101 and 1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that 3*a**4\/4 + 1389*a**3\/2 + 189288*a**2 + 12899328*a + 145367040 = 0.\nAnswer: -416, -80, -14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 1108?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -4*r + 124. Let o be h(25). Put -3, 2, 0, o, -4 in descending order.\nAnswer: o, 2, 0, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1575 = -3*l - 5*a, 23*l + a + 1539 = 26*l. What is the highest common factor of 927 and l?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q**3 + 10 + 2*q**3 - 2*q**3. Let h(y) = 10 + 1 + 2 + 3 - 19. Calculate 2*c(f) + 7*h(f).\nAnswer: 2*f**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2446*p + 1035 wrt p.\nAnswer: 2446","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*k - 460 = -20*k. List the prime factors of k.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -17 - -20. Suppose -20 = -2*t + 2*i - w*i, 2*i = t. Suppose -2*n + 5*s = n + 3, 5*n - 4*s = t. Solve n*m - 19 - 1 = 0 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -142 + 144. Let d(i) = -115*i**2 + 3*i - 112. Let l(r) = 230*r**2 - 7*r + 225. Let n(k) = t*l(k) + 5*d(k). What is the first derivative of n(s) wrt s?\nAnswer: -230*s + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 434511 and 482790.\nAnswer: 4345110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 40639.94 millilitres in litres?\nAnswer: 40.63994","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -3996*-12624\nAnswer: 50445504","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -4 + sqrt(55)\/(sqrt(15)\/sqrt(3)) - (-2*((-2*sqrt(264))\/sqrt(8))\/sqrt(3))**2.\nAnswer: -176 + sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 29982971 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*j = 6*j + 24. Solve 4*a - 4*t = j + 8, -2*t + 4 = 2*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.338 + -4.662. Which is the nearest to -2\/3? (a) 0.4 (b) u (c) 2\/81 (d) -2\/17\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 214070, 428153, 642236, 856319, 1070402, 1284485?\n\"Answer: 214083*q - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*j**2 + 4*j - 4*j + (-29*j**2 + 720 - 720)*(2 - 1 + 1 + (1 + 3 - 3)*(3 - 1 - 1) - 16 + 8 - 16).\nAnswer: 605*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3727 - 3700. Solve 23 = -50*c + k*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2562 - -2565. Solve 6*h = 5*h + v for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2219056 (base 14) to base 16.\nAnswer: f72914","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o + 16 = -2*v, 0 = 661*v - 665*v + 4*o - 4 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:44 PM and 6:08 PM?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12877*j - 12875*j - 8 = -7*r, 3*j - 6*j - 50 = -5*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4)\/8 - 33\/(-6). Suppose -k + q = 4*k - 34, -4*k + 4 = o*q. Let z(l) = 3*l - 5. Calculate the remainder when z(k) is divided by 6.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3586?\nAnswer: 2, 11, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 + -1. Let s = -14219 - -14220. Let m = 4 - 9. What is the closest to s in -2, q, m?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 5*w**2 + 9*w + 15. Let a(q) = -q**2 - 11*q - 43. Let g be a(-13). Let m = g + 53. Is p(m) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j\/(j*j*j\/(j**(-7)\/j)))**(-1\/9))**(-41))**43 assuming j is positive.\nAnswer: j**(-17630\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*m**2 + 699280*m - 3496275.\nAnswer: -5*(m - 139851)*(m - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -43, -1\/2, 5, -0.0496 in descending order.\nAnswer: 5, -0.0496, -1\/2, -43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 15\/9 - (-7)\/21\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 328474?\nAnswer: 2, 17, 9661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:39 AM and 12:34 PM?\nAnswer: 355","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + -598.\nAnswer: -595","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(2 + 3*sqrt(162)*-4 - (-2 + 1 + (sqrt(162) - (0 + sqrt(162)))**2)).\nAnswer: -648*sqrt(2) + 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 188*r + 151*r = 9*r + 18274 + 206 for r.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 983 = h + 978 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-18)\/(-8))\/((-1002)\/(-200) + -5). What is the greatest common divisor of r and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -117004384\/45 bigger than -2600096?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1114 (base 8) to base 12.\nAnswer: 410","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 190, 190, 192, 196, 202, 210?\n\"Answer: o**2 - 3*o + 192","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5892*m**2 - 1178*m*x**2 + 14*x**2 - 446261*x with respect to m.\nAnswer: 11784*m - 1178*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 19\/9 - -31\/9. Which is the closest to p? (a) 2\/3 (b) 5 (c) 0.4 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29071 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 3550560 a multiple of 130?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -13191, -13234, -13299, -13386, -13495, -13626?\nAnswer: -13779","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2 - (0 - 0)) + 0. Suppose m = q*m. Let x(g) = 3*g + 3. Let u be x(-2). Put u, m, 4 in descending order.\nAnswer: 4, m, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -329, 2, -5.\nAnswer: -329, -5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v + 5 = 0, -25*v + 20*v = 2*h - 35 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1465693.352 rounded to the nearest 100000?\nAnswer: -1500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 266 = p + 590, -3*s = 2*p - 1291. Does 11 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 - 1. Let x = 586 + -408. Let s = 1600\/9 - x. What is the third biggest value in s, 0.1, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4425623 (base 7) to base 8.\nAnswer: 2047614","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:15 PM and 12:26 AM?\nAnswer: 371","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(2\/3))**43*c**(-2\/5)\/c**3*(c*c**(-1\/3))**(-44)\/(c**(-2\/5))**(-6) assuming c is positive.\nAnswer: c**(-97\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*t**3 - 4600*t**2 - 107045*t + 4322850.\nAnswer: -5*(t - 21)*(t + 46)*(t + 895)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*v + 0*v - 4*v)*(-4 - 5 + 4) + (0*v - v - v)*(-38 - 16 + 11) - v + 2 - 2.\nAnswer: 95*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*r + 12 = -5*r. Suppose -2*a + 9 = -r*y, -a + y = -y - 6. Let w(d) = 2*d**2 + 2*d + 2. Let v be w(-1). Solve -t = -v - a for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -68.1564034 to 3 dps.\nAnswer: -68.156","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*a - 19 - 23 + 41.\nAnswer: 21*a - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -50 - 2 - c + 33*c. Suppose 4*n + 5 = -27. Let p(b) = 21*b - 35. Let k(v) = n*p(v) + 5*j(v). Differentiate k(h) wrt h.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -121022220 - -1?\nAnswer: -121022212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -0.21 + 1222048591\nAnswer: 1222048590.79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-691)\/(-27640))\/(1042\/1150 - 1) and -67\/252.\nAnswer: 3024","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 13*o - 11*o + 4*r - 30, -4*o - 3*r + 35 = 0 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 54 (base 11) to base 8\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -34b (base 15) to base 3\nAnswer: -1000122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4 + 403?\nAnswer: 344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7*h**6*v - 8*h**4*v + 2*h**4 + 22*h**2 - h + v wrt h?\nAnswer: 840*h**3*v - 192*h*v + 48*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:59 PM and 11:29 PM?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 11\/116 - -7981\/4524. Find the common denominator of -1\/160 and c.\nAnswer: 6240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -176 - -883\/5. Which is greater: 2 or y?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8*f**4 + 90*f**3 - 106*f**2 - 2592*f - 640.\nAnswer: 2*(f - 5)*(f + 8)**2*(4*f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1796 + 1805. Solve 26*p - 6 = 25*p - 4*f, -b = -2*p - 5*f for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c + 6*c**2 + c)*(-31 + 1220*c + 1729*c + 1132*c + 31) + 2*c**3 - 3*c + 3*c.\nAnswer: 24488*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 901 to the power of 1\/2, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*a**2 + 2*a**2 - 9*a**2 - 5*a**5 - 1 + 0 - 2*a**5 + 0 + (-a + 3*a - 4*a)*(-2*a**4 + 3*a**4 + 0*a**4).\nAnswer: -9*a**5 - 2*a**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -263279 times 86.5?\nAnswer: -22773633.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 82 divide 26430?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001782 rounded to five decimal places?\nAnswer: 0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.001419 to three dps.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 20220210210120 (base 3) to base 10\nAnswer: 3676929","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 18 and 72?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h**2 - 10*h + 12. Let f be w(9). Suppose -z - z = k, -3*k = -3*z. Put f, z, -2 in descending order.\nAnswer: f, z, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 81*o**2 + 2. Let h(x) = 3*x. Determine l(h(k)).\nAnswer: 729*k**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*i + 11*i + 2 = 0. Solve -5*z - i*a - 11 = -34, 3*z - 3*a = 18 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 5*d = -31, -4*d + d = v + 32. Let j = -13 - v. Suppose b + j - 61 = -3*q, 4*b + 12 = 0. What is the greatest common divisor of 54 and q?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the second derivative of -5*n + 0*n**4 + 7\/20*n**5 + 0*n**3 + 0 + n**2. Find the first derivative of r(l) wrt l.\nAnswer: 21*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 270344022 and 1.4883.\nAnswer: 270344023.4883","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -11 - -18. Let l = 5 - n. Let u = -0.1 + 0. What is the nearest to u in l, 2\/5, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 135.7879 to zero dps.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 s when two letters picked without replacement from {h: 1, g: 1, s: 1, w: 1, v: 1, x: 2}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3291456?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 61 is divided by 31?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j**3 + 7*j**2 - 17*j + 2. Calculate q(-9).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.042*-7.85503.\nAnswer: 0.32991126","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.262294 rounded to 2 dps?\nAnswer: 1.26","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 5*q**2 + 4. Let h(g) = -g**2 + 1. Give -a(c) + 2*h(c).\nAnswer: -7*c**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-203)\/58)\/(((-6)\/20)\/(-3)). Let f = -31 - k. Suppose 2*c - 106 = -2*m, m - 2*m - f*c = -38. What is the tens digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-83)\/664*112*4.\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0 + 5. Suppose o = 2*u - o - 18, 0 = u + 4*o - 39. Solve 0 = 4*g - l*a + 27, 4*a - u = 3*g + 2*a for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 235 is divided by (-902)\/(-41) + (4\/5)\/(6\/(-45)).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/7 + 374\/14. Let f be (q - 1 - 2) + -3. Let g be (-60)\/(-14) + (-6)\/f. Solve 0 = -0*z - z - 3*r - 5, 5*z + g*r = -3 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -j**2 + j. Let x be k(1). Differentiate 3*u**4 + x*u**4 + 12 - 14 wrt u.\nAnswer: 12*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from znwn. Give prob of picking 1 n and 1 w.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10249415, 10249421, 10249431, 10249445, 10249463, 10249485, 10249511?\nAnswer: 10249541","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*j**2 - 5*j**2 - 3*j**2 + (2*j - 2*j + j)*(1 + j - 1) - 124*j**2 - 205*j**2 + 262*j**2.\nAnswer: -70*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.25 - -0.45. Put -2, 2, a in descending order.\nAnswer: 2, a, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13665 is divided by 68?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22485 is divided by 3141?\nAnswer: 498","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -658297 + 658296.97900015. Let v = 39 + -38.979. Let f = v + q. What is f rounded to seven dps?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n**3 + 1. Let i(l) = 4435 + 2*l + 57*l**3 - 4431 - 64*l**3 - 2*l. Give -i(a) + 4*q(a).\nAnswer: 3*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -1440.382 rounded to the nearest one hundred?\nAnswer: -1400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6449*x = 6517*x - 1496 for x.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 931, 928, 923, 916, 907, 896, 883?\nAnswer: 868","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 0 - 134?\nAnswer: -134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 + 2 + -9 + 15.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1357585?\nAnswer: 5, 271517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dsddddsddssedsdesdd. Give prob of sequence sss.\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 3*m**3 + m**2 - 22*m + 64. What is o(0)?\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2433 - 72?\nAnswer: 23b1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -18, -37, -56?\n\"Answer: -19*n + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.045? (a) 54\/7 (b) 2 (c) 101 (d) -1 (e) 1\/6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 58, 0.01, 3?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 0.101*-2\nAnswer: -0.202","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = 4*v - w, -3*v + 6*w + 7 = 5*w for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 15 = -x. Let m be (-1)\/5 - x\/(-15). What are the prime factors of 4 + -2 - (m + 0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*p**3 + 5*p**2 + 1118 - 5*p**2 - 1297.\nAnswer: 2*p**3 - 179","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a**2\/2 + 288*a + 13824 = 0. Calculate a.\nAnswer: -96","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 - (1 + -3) - (-12 + 11)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - -2)\/(590\/50 + -12) + (-658)\/(-84).\nAnswer: -13\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*h + 5*h - 10*h + 5*h.\nAnswer: 4*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 451244229?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -9486, -9484, -9472, -9444, -9394, -9316?\n\"Answer: v**3 - v**2 - 2*v - 9484","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 24, 38, 54, 72, 92?\n\"Answer: p**2 + 11*p + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 90966 and 1106753?\nAnswer: 6640518","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18496*i + 12 = -18490*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is m in m**3 + 3183*m**2 + 2144930*m - 6463464 = 0?\nAnswer: -2212, -974, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*b + 2 - 2*b**4 - 9*b - 2*b**4 + b + b**3 to the form u + g*b**2 + t*b + x*b**4 + c*b**3 and give x.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 14*i**2. Let l(a) be the first derivative of -a**6\/360 - 2*a**3 - 6. Let y(x) be the third derivative of l(x). Give g(y(q)).\nAnswer: 14*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -236 plus 188.6602143?\nAnswer: -47.3397857","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56 + 51 = -5*f. Is ((-4)\/(-4) + f)\/2*21763 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*r - 2*r + 0*r)*(5*r - 2*r + 7*r) as j*r**2 + x + p*r and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*h = -3154 + 20688. What is the remainder when h is divided by 42?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ffffff. Give prob of sequence ff.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3 - 187?\nAnswer: -184","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4653\/19 - -245. Let v = 32\/57 + y. What is the nearest to 1 in -0.4, v, -4?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -229*f**4 - 80*f - 2?\nAnswer: -2748*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.836 - -0.134. Let b = y + 0.03. Let k be 5889\/(-604)*2\/13. Put b, 5, k in descending order.\nAnswer: 5, b, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2490381561 + -2490381517.99999892. Let x = 42 - -1. Let w = q - x. What is w rounded to 7 dps?\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1865, -1864, -1861, -1856, -1849, -1840?\nAnswer: -1829","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 84 is divided by 41.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -4*i**2 + 2*i + 1. Let o(y) = y**3 + y + 1. Suppose 2*g = -23*w + 25*w, -6 = 3*g + 3*w. What is g*n(f) + 2*o(f)?\nAnswer: 2*f**3 + 4*f**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/7, 9598\/7, 574 in increasing order.\nAnswer: 2\/7, 574, 9598\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 4*r = 261, r - 127 - 208 = -4*k. List the prime factors of k.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 770816.\nAnswer: 2, 3011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 184.07 rounded to zero dps?\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1834.79 rounded to the nearest ten thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1416350, 1416355, 1416360, 1416365, 1416370, 1416375?\n\"Answer: 5*v + 1416345","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rr when two letters picked without replacement from {n: 1, f: 4, r: 6}.\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, 4, -1, 39 in increasing order.\nAnswer: -1, 4, 8, 39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -10*r + 40. Let l(n) = n**2 - 8*n - 20. Let p be l(10). Solve -22 = 4*j + 2*v, p = -3*v + 2*v - r for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:27 PM and 10:06 PM?\nAnswer: 279","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-731)\/51)\/(1\/(-3)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -41*d**2 + 7*d - 27 - d + 22*d**2 + 21*d**2. List the prime factors of w(8).\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = -3*a + 4. Let h = -13\/5 + 73\/30. Put 1\/4, a, h in increasing order.\nAnswer: a, h, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-12)\/((-36)\/(-15)) - -30. Suppose -10*l = -7*l - 177. Factor -5*d**3 - 3*d**3 + l*d - 64*d - 12*d**3 - p*d**2.\nAnswer: -5*d*(d + 1)*(4*d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15052.\nAnswer: 2, 53, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 51 + -52. Which is the closest to h? (a) -0.02 (b) 0.2 (c) 2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -11226 - -11223. Which is the nearest to 0.01? (a) 3 (b) 4 (c) s (d) 1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -795037066 or -795037068?\nAnswer: -795037068","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 10 + 7 - 8*s - 10*s + 2*s. Let v(k) = 79*k - 85. Let w(d) = -11*t(d) - 2*v(d). Find the first derivative of w(n) wrt n.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 33*x - 544155 - 335394. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 143 = 4*f + 3. Suppose 2*y = -3*y + f. Let v(t) = 2*t**2 - 8*t + 1. Is v(y) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13 + (-11 - -22) + -2.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 639 divided by 4831\nAnswer: 639\/4831","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s**(-2\/13)\/s)\/s)**(-4\/3)*((s*s\/(s**12\/s)*s)\/s)**(-23\/3) assuming s is positive.\nAnswer: s**(917\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n**3 - 14*n**2 + 38*n + 70. Let j be t(-17). Let w = j - 275. Solve -k + z + 2 = 0, 5*z = 3*k - w - 0 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4, 2\/41, -0.5?\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -75*c**2 - 4*c - 33*c**2 + 4*c - 53*c**2.\nAnswer: -161*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 131904068.000063 + -131904218. Let p = -150 - r. What is p rounded to five dps?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2 + -2 + 5\/(-30). Let k = -0.001 - 10.999. Sort -3, k, c, -4 in decreasing order.\nAnswer: c, -3, -4, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 945 = -5*i, -10*i = -g - 5*i + 230. List the prime factors of g.\nAnswer: 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -37 + 35 + (-1 - (-1 - 0)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1166580?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -5*o - 3. Let s be i(-2). Suppose -s*t + 4*t + 90 = 0. Solve -4*w = 2*f + t, 5 + 0 = -3*w + 2*f for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 45927 to the nearest integer?\nAnswer: 214","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 488 minutes after 3:24 AM?\nAnswer: 11:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = -29*r + 96. Suppose j = -2*o + 10, -r*j + o + 7 - 3 = 0. Suppose b = 2 + 2. Solve 0 = j*u + b for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -58*l + 193*l - 65*l + 58 = 64*l - f, -8*l + 25*l + 176 = 3*f for l.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -2*p**2 - 61*p - 172. Give r(-26).\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2000 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (23474\/485)\/(528\/(-480))\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 23*f**2 - f + 8. Let l(p) = 3*p**2 - 3. Calculate 2*l(m) - v(m).\nAnswer: -17*m**2 + m - 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v and 1 k when three letters picked without replacement from kskskvspkkkvsvvkhsv.\nAnswer: 70\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*((12\/15)\/2 + (-133)\/70).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -181 or -214505?\nAnswer: -214505","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6? (a) -0.0212 (b) 4 (c) 0.15 (d) 1.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 224 + -134. What is the common denominator of (515\/u)\/((-14)\/6) and -43\/12?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*l = -2*u - 5*l, 4*u = -4*l for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x**4 + x**3 - x**2 + x + 1. Let p(y) = -11*y**4 - 6*y**3 + 6*y**2 - 6*y + 20. Let q(f) = 6*b(f) + p(f). What is the first derivative of q(m) wrt m?\nAnswer: -68*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-29)\/(((-28)\/42)\/((-6)\/(-9))). Suppose -44*j = -d*j - 124665. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the first derivative of 2 + 0*z**2 + 2\/3*z**3 + 0*z. Let u(d) = d**2. What is u(o(s))?\nAnswer: 4*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (5\/(-6) + 0)*(-78)\/(-260). Let v be ((-5)\/15)\/((-7)\/(-9)). What is the closest to 1 in v, 0.3, t?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -199274891, -797099548, -1793473983, -3188398202, -4981872211, -7173896016?\n\"Answer: -s**3 - 199274883*s**2 - s - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 18303.9762 rounded to zero dps?\nAnswer: 18304","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1897290378 to the power of 1\/9, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -5*a**3 + 135*a**2 - 16*a + 1032. Let x be o(27). Calculate the highest common factor of x and 925.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1\/3 - (-2)\/(-3). Let m = 1\/3 - x. Factor 0 + m*o**3 + 2\/9*o + 2\/9*o**4 + 2\/3*o**2.\nAnswer: 2*o*(o + 1)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5584 divided by 1396?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of (-103068)\/(-72) - (-21)\/(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 308095130?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, n: 3, w: 3, y: 3, u: 7, l: 3}. What is prob of picking 1 u and 1 y?\nAnswer: 21\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -7 - 2*k**2 + 12 - 4*k - 6. Let b be m(-4). Let u = -5 - b. What are the prime factors of u?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4157*b - 4156*b - 27727 - 3178 = 0. List the prime factors of b.\nAnswer: 5, 7, 883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 11 = 5*p - 2*p, 5*p = 5*s + 5. Let m(w) be the third derivative of 2*w**2 + 0*w**s + 0*w**3 + 1\/60*w**5 + 0*w + 0. Let t(o) = -2*o. Give m(t(k)).\nAnswer: 4*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -310, 3, 4, -496 in decreasing order.\nAnswer: 4, 3, 1, -310, -496","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*k + 590 + 820 = -74 + 120 for k.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -2*m + 2. Let u be b(-3). Suppose -20 = 4*q - u*q. Solve -q*l + 0 - 10 = o, -5*o + l = -28 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 155093938?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-4\/3)*j**(2\/41)\/j)\/(j*j**(-15)\/j*j)**(-13) assuming j is positive.\nAnswer: j**(-22667\/123)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4 + -3.9. Let t = 16164 + -146171\/9. Let o = t + 77. Which is smaller: o or l?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of (-34)\/(-17)*(32 + 0) and 18?\nAnswer: 576","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 11 - 11.1. Which is the second smallest value? (a) v (b) -3\/5 (c) -2\/37\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 303 - 258. Suppose 6*n = 4*n. Let x be 50\/5 + (-1 - n). Calculate the highest common divisor of s and x.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -69 = 3*c + y - 3*y, 0 = -3*y - 9. Let x = c + 47. What is the highest common divisor of 11 and x?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.237 at least 3\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 69.62543 litres?\nAnswer: 69625.43","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 956 + -289. What is the units digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1352322?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00041120403 rounded to seven dps?\nAnswer: 0.0004112","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -247\/235 + 87\/47. What is the second smallest value in h, -0.5, -33?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -2\/9 (b) 4 (c) 0.3 (d) 3\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4 and 0.0843.\nAnswer: 0.3372","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30478 is divided by 435.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) 3.6 (b) -2\/21 (c) 1430294\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 181711 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z. Let m = 15 - 13. Let p(r) = 19*r**2 - 32 + 32 - 54*r**m. Determine p(t(f)).\nAnswer: -35*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 0 + -37313?\nAnswer: -37313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4.702 - 4.6995459. Round m to 4 decimal places.\nAnswer: 0.0025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*y - 9134 - 25271. What is the tens digit of y\/(-49) - (-3)\/(-7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = 4*w - 530. Suppose 3*s + w = 7*s. Calculate the remainder when s is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -2 - 12\/9*-3. Suppose 0 = -r + h + 15. What is the remainder when 48 is divided by r?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 304646389 is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10 + -1 - (72 + -50)) + 15?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3097 is divided by 1984.\nAnswer: 1113","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.611 times -3?\nAnswer: -10.833","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 220*a**2*m**2*x**2 - a**2*m**2*x + 40*a*m**2*x + 3*a*m*x**2 - 6*a*m*x wrt a?\nAnswer: 440*m**2*x**2 - 2*m**2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.7 (b) -5 (c) 1\/114 (d) 0.64 (e) 2\/21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -11239*c*k**3*l**2 + 182637821*c*k**2*l**3 + 80*c*k*l - 2*k**3*l**3 - 12*k**3*l**2 wrt l.\nAnswer: 1095826926*c*k**2 - 12*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -25.000013 - -25. What is x rounded to five dps?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve p = 4*n - 68 + 49, -3*p = -2*n + 17 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 4*w**2 + 16*w - 2. Let d be p(-4). What is the tens digit of 0 + (d - (4 + -83))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14 + 1 - (-31 - (-42 - 24))\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/42*(-19138)\/24606\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -176*l - 54 = -178*l. Suppose l*t + 668 - 2801 = 0. Round t to the nearest one hundred.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*b - 822787 + 822787.\nAnswer: -3*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 p when two letters picked without replacement from {z: 12, p: 7}?\nAnswer: 28\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*x**3 - 7*x**3 + 3*x**3)*(1 - 2 + 7)*(-238 + 238 - 23*x) in the form a + p*x + u*x**3 + f*x**4 + d*x**2 and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9\/30*14\/((-504)\/50))\/((-520)\/(-64)).\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.5076 + -0.0076. What is the third biggest value in o, -19, 30?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -11 - -11.2. Which is the biggest value? (a) s (b) -2 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -59745\/16 - -3730. Find the common denominator of p and -91\/452.\nAnswer: 1808","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23722256537 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -666185 at least as big as -666191?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zzgnnhz. Give prob of picking 3 g and 1 n.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 50 divide 3233632?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1768123?\nAnswer: 7, 252589","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*b = 109*b - 74125 - 29069. What is the lowest common multiple of b and 336?\nAnswer: 7056","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8133 divided by -5314.\nAnswer: 8133\/5314","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g**5\/5 - 8547564*g**4\/5 + 42737776*g**3\/5 - 25642644*g**2\/5 - 76927986*g\/5 = 0 for g.\nAnswer: -1, 0, 3, 4273777","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Are -3506\/3 and -1168 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:40 PM and 6:23 AM?\nAnswer: 703","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -47 + 55. Solve 4*a - 8*a - i = 0 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 3*t - 14. Let x be f(18). Calculate the highest common divisor of x and 32.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 97 = 2*h - 152, -5*o + 108 = h. Let r = h - 87. Suppose -4*f = -4*g - 92, 18*g = 13*g - 20. Calculate the remainder when r is divided by f.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 4*q - 6. Let g be v(10). Let r be ((-9)\/(-18))\/(g\/(-16) + 2). Let w(i) = -7*i + 7. Let u(n) = 6*n - 6. Determine r*w(o) - 5*u(o).\nAnswer: -2*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 20562\/1 - (189\/(-378) - (-9)\/(-2)). What is the highest common factor of q and 393?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p**2 - 11*p - 11. Let n be u(-9). Let v be 80\/105 - 3\/n. Which is the second biggest value? (a) -0.3 (b) v (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -50*k + 1. Let b(n) = -98*n + 2. Give 4*b(o) - 9*d(o).\nAnswer: 58*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1811.211mg to grams.\nAnswer: 1.811211","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*v + 3*v = 0. Suppose 2*z + 8 = v, 5*z + 5 = -i + z. List the prime factors of i.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3\/2 (b) 0.3 (c) -0.7 (d) 4105 (e) 0.22\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4765*g**3 + 997*g**3 - 1414*g**3.\nAnswer: 4348*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -140 - -1105. Does 40 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 13752, 27135, 40520, 53907, 67296, 80687?\n\"Answer: q**2 + 13380*q + 371","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rc when two letters picked without replacement from rrcccccccrcccccrcc.\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 2*j = -2, -3*i - 3*j - 2*j - 1 = 0. Suppose 3*x + 2*t - 220 = 0, 0 = -4*x - i*t + t + 294. What is the tens digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*j + 9, 4*x + 351 = 3*j + 380 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7 - -4. Let t be 8\/4 + q - -1. Suppose -c + 5*c - 76 = t. List the prime factors of c.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -5, -3, 2.\nAnswer: -5, -3, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27005.\nAnswer: 5, 11, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 1\/51 (b) 0.3 (c) -5 (d) -0.1 (e) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 17350675435 minus -0.5?\nAnswer: 17350675435.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1838483 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 193868\/45 - 4308. Let r = q + 13\/180. Which is the second smallest value? (a) 4 (b) r (c) -5 (d) 0.08\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6558778?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2999071 to the nearest integer?\nAnswer: 1732","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -50*v + 2. Let i = 7 - 9. Let h be t(i). Suppose 2*z - h = 4. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2 and 16.\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o**3 + 3*o**2 - 7*o - 5. Let v be c(-4). Let f = v - 13. Let p(n) = 6*n + 9 - 1 + 13*n**2 - 2 - 12*n**2. Give p(f).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3253\/2, 4254, 2\/5, -0.3 in descending order.\nAnswer: 4254, 3253\/2, 2\/5, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 584 minutes before 11:57 PM?\nAnswer: 2:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -636 - -1204. Is 27 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 8578.358 years?\nAnswer: 857.8358","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -450321 (base 7) to base 15\nAnswer: -187d0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the third derivative of -11*i**6\/360 + 29*i**4\/24 + i**3\/2 - 4*i**2 - 3. Let n(k) be the second derivative of r(k). Let c(a) = a. Calculate c(n(b)).\nAnswer: -22*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1 + (-163 - (5 + -3)). Let v = -81 - t. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -4*j + 3*j - 2*j. Suppose 4*p + 2*o + 28 = 2, -5 = -5*p + 5*o. What are the prime factors of v(p)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -104569\/37724600 + 78\/8201. Find the common denominator of 67\/230 and x.\nAnswer: 4600","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -22389348*h**4*m - 7*h**3*m + 2*h**2 - 548153470*m wrt h.\nAnswer: -537344352*h*m - 42*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-125)\/(-50))\/((-15)\/(-186)).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4)\/(-12) - (-61009665)\/17073. Let k = y - -1450\/271. Let p = k - 3572. Calculate the common denominator of -27\/4 and p.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8898323 - -20.495\nAnswer: 8898343.495","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -3*d + 1. Let h(f) = 5*f - 1. Let k(l) = -2*h(l) - 5*x(l). Let r be k(2). Suppose -u = 3 - 38. What is the highest common divisor of r and u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 582*u**2*v**2 + 26*u**2*v - 431*u**2 - 37*u*v + 403*v**5 - 2 wrt v.\nAnswer: 1164*u**2 + 8060*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 386*z**2 + 2*z + 6. Let c(p) = -386*p**2 - 2*p - 5. Calculate 6*c(h) + 5*q(h).\nAnswer: -386*h**2 - 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 18802 - 18399. Is 2 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63 + 171 = 36*q. Let g be 0 + 13 + -1 + 3. Let w = g - 13. Solve w*d = 3 + q for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3606 (base 8) to base 13\nAnswer: -b52","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 108, -4, -5, 2347, 7, 1.\nAnswer: -5, -4, 1, 7, 108, 2347","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 611 + 76. Let z = x - 445. Let y(l) = 2*l**2 - 7*l + 7. Let b be y(5). What is the highest common divisor of b and z?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t**2 + 9*t - 7. Let n be 2 + (-1 - -4) - -1. Suppose -69*u - 918 = -86*u. Calculate the remainder when u is divided by h(n).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 4*v - 4*v + 3*v**2 + 0*v**2 + 2*v. Let g be k(2). Suppose 13*u = g*u. Solve 4*y - 4*z - 10 - 10 = u, 0 = -4*y - z + 10 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 times 49\nAnswer: -4.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h**3 - h**2 + 3*h + 3. Let s be v(4). Let m = -37 + s. Let i = -17 + m. Does 9 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 2*t - 6096 = 1208, 16*n + 3*t = 58451. Calculate the remainder when n is divided by 244.\nAnswer: 237","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 2*h**2 + h + 2. Let w be o(-4). Let i = -686 + 6136\/9. Calculate the common denominator of i and 3\/9 + (-226)\/w.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 8181*s**2 + 40902*s - 11. Calculate q(-5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -4, 34, 88, 152, 220, 286?\n\"Answer: -y**3 + 14*y**2 + 3*y - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -22341971.12 minus 3?\nAnswer: -22341974.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -551 + 302?\nAnswer: -245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*x**5 + 552*x**4 + 3*x**3 + 13464*x**2.\nAnswer: 240*x**2 + 13248*x + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0393238785 rounded to 2 decimal places?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the second derivative of -2\/15*l**4 + 1 - 202\/15*l**3 - 20*l**2 + 76*l. Factor v(y).\nAnswer: -4*(y + 50)*(2*y + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*v + 297 = -12*v. Suppose f + 0*f - 4 = -g, 0 = -5*f + 3*g + 44. Calculate the least common multiple of v and f.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -6 + 4 + 1 + 0. Let j = 0.141 - 0.191. Are v and j equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g = -g + 20 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 11 = -5*o - 0*o, -4*p + 22 = -2*o. Let j = 0.09 + 5.91. Which is the third smallest value? (a) j (b) 1 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10\/(-4)*18\/(-15) and (-148)\/(-6) + (-22 + 18)*3\/18?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38578*f = -38340*f + 238 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 445363 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-four fifths of a millennium in decades?\nAnswer: 880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*m**3\/2 - 7455*m**2 + 2256597*m\/2.\nAnswer: -3*m*(m - 147)*(m + 5117)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrutugrtueug. Give prob of sequence ger.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -61, -98, -173, -304, -509, -806, -1213?\n\"Answer: -3*t**3 - t**2 - 13*t - 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -6 - ((-4)\/2 - 0). Put 1, w, 47 in increasing order.\nAnswer: w, 1, 47","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 502 = n + 29*n + 172 for n.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 80456?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 69 = -n. Suppose 93 = 3*c - 0*c + 3*w, -31 = -c - 4*w. Suppose 0 = 5*p - t - n, 5*p - c = 4*t - 7*t. What is the units digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 6474\/36 - 2\/(-12). Let y be 4\/r - 1\/(-5). Let t = 1.4 - 0.4. Which is the second biggest value? (a) y (b) t (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -2*p**3 - 4*p**2 + 5*p - 4. Let o be z(2). Let m be 2\/(0 + (-4)\/o). Solve -5*s - 5*g + 35 = 0, -4*g = 2*s - m - 5 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (1 - (-8 - -8))\/((-1)\/(-431))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -11*s*u**4 + 18*s*u**2 + 2616*s*u + 8668*s + 144115*u**3 wrt u.\nAnswer: -132*s*u**2 + 36*s + 864690*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.043 + -21.343. Let c = -2.7 + d. Let y = c + 23.978. What is y rounded to 2 dps?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 5, x: 8, l: 7}. What is prob of picking 2 l?\nAnswer: 21\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -663, -1375, -2151, -2997, -3919, -4923?\n\"Answer: -h**3 - 26*h**2 - 627*h - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -22.8 + 22.933. What is a rounded to 3 dps?\nAnswer: 0.133","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w\/w**16*w\/(w\/(w\/(w*(w*w**(1\/4))\/w))*w*w) assuming w is positive.\nAnswer: w**(-69\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 5, -12, 3, 277 in increasing order.\nAnswer: -12, -3, 3, 5, 277","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 + 0 = -7*g. Let f = -0.6 + 1.1. Which is the smallest value? (a) g (b) f (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -0.1 (b) 0.06 (c) 0.22 (d) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -160 - -171 - (4 + (-10 - -4))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -329 + 203. Let p = q - -99. Let n be p\/(-6)*(-9)\/(108\/(-8)). Solve -n*t = t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -45533352 divided by -2.\nAnswer: 22766676","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -426, -859, -1292, -1725, -2158?\nAnswer: -2591","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.914 + -0.086. Let d = 3 - -2. What is the fourth biggest value in -0.2, -1\/4, y, d?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10654 divided by 5327.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert b93 (base 15) to base 8.\nAnswer: 5065","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 3173, 3 in increasing order.\nAnswer: 2, 3, 3173","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*i**4 + 42*i**3 - 108*i**2 + 102*i - 33.\nAnswer: -3*(i - 11)*(i - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f when two letters picked without replacement from kggftf.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -b**3 - 18437 + 36872 - 18435.\nAnswer: -b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 3*t + 0 + 15 = 0, -5*w = 3*t + 3. List the prime factors of w - (-8964)\/15 - 33\/55.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32320 (base 7) in base 8?\nAnswer: 17562","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from umshnmw. What is prob of sequence hs?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 196350 = -587*z + 662*z. Is 34 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 592.1 + -563. Let i = w + -32. Let o = i + -0.1. What is the biggest value in o, 2, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1492741 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = -3*n - 1, -2*y + y = -5*n + 6. Put -5, 2, n, 5 in descending order.\nAnswer: 5, 2, n, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8541 - 1430 = -547*d for d.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 409053 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 152981883 to the nearest integer?\nAnswer: 535","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -1100 (base 2) to base 9\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c**3 + c**2 - 2*c + 1. Let x be m(-3). Suppose 5*f - 108 = f + 4*w, 5*w = f - x. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the first derivative of -11*w**4\/42 + 2*w**3\/21 - 12*w + 14. Let n(f) be the first derivative of m(f). Factor n(l).\nAnswer: -2*l*(11*l - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l**3 - 3*l**2 - 3*l. Suppose h + 3*h = 16. Let t be s(h). What is the third derivative of -2*g - 2*g - g**5 + t*g - 2*g**2 wrt g?\nAnswer: -60*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u + 17 = -y, -2*y + 7*u = 2*u - 18 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 14854, 14899, 14944, 14989?\n\"Answer: 45*j + 14809","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.0502 - -61.4102. Let d = -61 + o. Let k = d - -13.64. Which is smaller: 1 or k?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 1, 3.5, -0.02, 352?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 468 and 53244?\nAnswer: 692172","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - 2) + -5 + 1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 21*z**2 + 12*z**3 - 12*z**2 + 57*z**2 + 16*z**3 wrt z?\nAnswer: 168","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 902*f + 19 = -c + 898*f, -3*f - 21 = -6*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 94422.53 millennia?\nAnswer: 94422530","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 20.547 - 0.047. Let m = -18 + y. What is m rounded to one dp?\nAnswer: 2.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3*105137170.\nAnswer: -31541151","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 161\/4 - 40. Let p be (-2)\/(-27)*(-21)\/14. What is the second biggest value in -2\/9, -1\/5, i, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.2*2.2171\nAnswer: -0.44342","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**3\/7 - 309*h**2\/7 + 2230*h\/7 + 5688\/7.\nAnswer: -(h - 9)*(h + 2)*(h + 316)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-5736)\/(-3824)*((-6)\/2)\/((-6)\/(-4))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0919 * 1150970.\nAnswer: 105774.143","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0\/2*((-1295)\/35 + 32 + (-11)\/(-2)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**2\/5 + 80630008*s\/5 - 812649773760008\/5.\nAnswer: -2*(s - 20157502)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 125.5*5\nAnswer: 627.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 58 - 55. What is the second derivative of -78*t**3 - 4*t - 26*t**2 + 22*t**2 - u + 60*t**3 wrt t?\nAnswer: -108*t - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 308?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1189 - 1107 = -2*k. List the prime factors of k.\nAnswer: 2, 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 90 (b) -48 (c) 0.062 (d) 5 (e) -2\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3001*l + 72*l**2 - 3001*l + 0*l**2 + l**2 + l**2 + (-l**2 - l**2 + 4*l**2)*(-1 + 4 - 2).\nAnswer: 76*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the second derivative of 2*y**7\/105 + y**4\/2 + 13*y**2\/2 - 16*y. Let p(b) be the first derivative of u(b). Find the second derivative of p(l) wrt l.\nAnswer: 48*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-i**2 + 2*i**3 + i**2)*(-246*i + 2*i**2 - 3*i**2 + 255*i).\nAnswer: -2*i**5 + 18*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -12*p**3 - 33*p**3 + 44*p**3 + 15*p**2 + (-p**2 + 2*p**2 - 3*p**2)*(-2*p + 0 + 0).\nAnswer: 3*p**3 + 15*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/16 and 65\/1712.\nAnswer: 1712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -5017*r + 8738*r + 6289*r in the form y + g*r and give g.\nAnswer: 10010","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*r**2 + 20675148*r - 53432718102738 = 0. What is r?\nAnswer: 5168787","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**6\/(d**(2\/7)*d))**(-15)\/(d*d\/d**2*d*d**1*(d\/(d*d**4*d))\/(d*(d*d**(-7\/4))\/d)) assuming d is positive.\nAnswer: d**(-1917\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2608 divided by -1304.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 7 times 51\nAnswer: 357","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 35339 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + (-3 - -3) - -1 - 1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3209 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -187*o**2*x**3 - 26*o + 2*x**3 wrt o.\nAnswer: -374*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 43431930 a multiple of 852?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = 55*g - 23 - 26 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 204266 - 8.909114?\nAnswer: 204257.090886","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2465 + 0.184209.\nAnswer: -2464.815791","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 19 + -24. What is the third biggest value in -0.1, 0.2, -4, n?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -11 + 9. Let d = g + 13. Calculate the greatest common divisor of d and 99.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-4*sqrt(21)*-2)\/(sqrt(84)\/(sqrt(60)\/sqrt(5))).\nAnswer: 8*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 45\/(-1 - 8) - -7. Solve 0*g - 2*o = 4*g - 10, -h*g + 3*o = 15 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j + 3*j - 15 = 0. Suppose -j*s - 8 = -7*s. Factor -3\/2*n**5 + 3*n**2 - 3*n**s + 0 + 0*n**3 + 3\/2*n.\nAnswer: -3*n*(n - 1)*(n + 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3+121.07538\nAnswer: 124.07538","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 101 - 29. Let o = 84 - g. Suppose q + 1573 = o*q. What is the remainder when q is divided by 24?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.5, 9, 26.65?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(190)*2*-5*5)\/((sqrt(120) - (sqrt(120) - -1*sqrt(120)) - sqrt(120))\/sqrt(12) - sqrt(40)*4).\nAnswer: 5*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ddmddedzdwpezdd. What is prob of picking 1 z, 1 p, and 1 m?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uz when two letters picked without replacement from upuoeuzjjeeee.\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**2\/19 + 194*w - 6523188\/19.\nAnswer: 2*(w - 1106)*(w + 2949)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from llrsl. Give prob of picking 2 l and 1 s.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 19, 47, 101, 187, 311, 479, 697, 971?\nAnswer: 1307","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (152\/110 + 8\/(-44))\/((-15)\/(-125)). Suppose 2*w = 6*w - 2*k - 114, -k = w - 33. Calculate the greatest common divisor of w and x.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15\/(-51)*((-2)\/(-3))\/((-100)\/(-60)).\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -60117 divided by -20039.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*v - 15 = -3*v. Let y(k) = 2*k**2 + 3*k - 2. Let x be y(v). Let b = x - -2. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 506.374 + -506. Let p = j - 4.374. Let q = 4637\/15 - 309. What is the second biggest value in -3\/7, -1\/6, p, q?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -4, 1, -2\/7, 16.8?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3633524119?\nAnswer: 73, 49774303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 - 4. Let w = 259 - 247. Sort w, -4, l in descending order.\nAnswer: w, -4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 373105?\nAnswer: 5, 71, 1051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 484 + -227. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -44*g. Let m(p) = 6723*p + 390. Give t(m(c)).\nAnswer: -295812*c - 17160","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -765*o - 73505. Let w(c) = -15*c - 1446. Let p(d) = -6*u(d) + 305*w(d). Let s = -4 + 1. What is p(s)?\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2 and 5025694?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 17303*h**2 + 26*h - 12. Let v be f(-11). Let a = -7293869 + 14487234. Suppose a = -15*o + v. What is o rounded to the nearest 10000?\nAnswer: -340000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 115 + -115. Put -4, l, 6, -1 in descending order.\nAnswer: 6, l, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -123.31 - -2.31. Let j = 121.1 + x. What is the nearest to -0.1 in -0.13, j, 0?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-6)\/(-15)*(1 - -9). Suppose i*g + g = -2*w - 390, -4*w - 5*g - 760 = 0. Is (w\/15)\/(2\/(-6)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -20*w - 40*w + 79*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2.277 + 3.228. What is t rounded to 1 decimal place?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1358166\/13 < 3\/8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*l + 11*l + 11*l - 5*l**2.\nAnswer: -5*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 76*a = 757 - 149 for a.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 22 and -3026?\nAnswer: 3048","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*g - 16*g + 205. What is the units digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 233528 to the power of 1\/5, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1128)\/2632*(-7)\/24?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m**3 + 2 - 7*m**2 + 2*m**3 - 3*m**2 + 4*m**2. Let u be j(6). Let k(a) = a**2 + 4*a. Let y be k(-6). Solve 2*d - 29 = -5*i, 12 + y = 4*i + u*d for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 339047 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:49 PM and 1:34 AM?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the third derivative of 13*w**5\/60 + 17*w**4\/4 - 8*w**3\/3 + 23*w**2. Factor d(v).\nAnswer: (v + 8)*(13*v - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -82*g - 1403. Determine x(-14).\nAnswer: -255","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**2\/9 + 184*l\/9 - 1640\/9.\nAnswer: -2*(l - 82)*(l - 10)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:29 AM and 7:18 PM?\nAnswer: 709","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 2, s: 1, b: 1, j: 4}. What is prob of sequence js?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 5*m**2 - 17*m - 37. Is h(-10) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*w - 113 + 13. Calculate the highest common divisor of 10 and w.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (12\/3 - -1) + -2. Let v be c + -4 + (1 - -4). What is the second derivative of 56*l**4 - 45*l**v - 3*l - 4*l wrt l?\nAnswer: 132*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12756797?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -17*t**2 - 6*t. Let c(h) be the second derivative of -h**4\/12 - h**3\/6 - 55*h + 2. What is -4*c(f) + i(f)?\nAnswer: -13*f**2 - 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*t**2 - 2*t**2 - t**3 + (-6*t - t + 0*t)*(-3*t**2 - 2*t**2 + 6*t**2).\nAnswer: -8*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 8195.766 days?\nAnswer: 11801903.04","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -465927, -931923, -1397919?\n\"Answer: -465996*m + 69","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*y + 90 + 52. Let r = y - -59. Does 10 divide (1 + -14 + -3)\/(4\/r)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4441 = -250*p - 1309 for p.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.34 - 26.34. Let f = t + 27. Which is the closest to f? (a) 0.3 (b) -3 (c) -0.03\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1535732 divided by -34903.\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence us when two letters picked without replacement from lasmuaa?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -7*b**3 + 230*b**2 + 79*b + 19. Let g(x) = -2*x**3 + 76*x**2 + 25*x + 6. Give 19*g(r) - 6*m(r).\nAnswer: 4*r**3 + 64*r**2 + r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -8*h. Let x be a(1). Let o(q) be the second derivative of -q**3\/2 - q**2 + q - 3. Let p be o(x). Calculate the greatest common factor of p and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 44162005?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 370322305?\nAnswer: 5, 17, 4356733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25588.\nAnswer: 2, 6397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**3 - 871*g**2 + 32344*g - 279356.\nAnswer: -(g - 22)*(g - 14)*(g + 907)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 7462519.2 microseconds in days?\nAnswer: 0.00008637175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that 2\/5*t**3 + 0 + 0*t + 3\/5*t**2 = 0.\nAnswer: -3\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -2 - -5 - 0 - (-6)\/6. Suppose x = -f*x + 180. Is 9 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 1. Let x(k) = -2*k - 6. Let p(d) be the second derivative of -d**3\/3 - 31*d**2 + 23*d + 1. Let z be p(-25). What is z*y(h) - 2*x(h)?\nAnswer: 4*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + o = -13, -721 + 712 = -2*i + o. Solve -3*c = -m - 6, 0 = i*c - 5*c - 4*m - 11 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -178*h**2 + 423*h**2 - 163*h**2 - 201*h**2.\nAnswer: -119*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the first derivative of z**3 - 1. Let m(a) = -a**2. Calculate m(t(u)).\nAnswer: -9*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 611522 (base 7) in base 16?\nAnswer: 195a7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 6*y**2 + 4. Suppose -287 = 13*o - 54*o. Let r(m) = -11*m**2 - 7. What is o*v(z) + 4*r(z)?\nAnswer: -2*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.1 (b) 0.08 (c) 42113\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4935 + 1051 = -4*s. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 60\/(-75)*(188\/(-24) + 7)\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -67 or -66?\nAnswer: -67","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 246 - 163. Let m = 93 - b. Which is smaller: -1\/9 or m?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -73\/286 and 81\/354164?\nAnswer: 50645452","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 3 + (sqrt(8)\/sqrt(4)*2 - sqrt(16)\/(sqrt(32)\/sqrt(4))).\nAnswer: -1 + sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -103007034391 - 4?\nAnswer: -103007034395","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 340028 (base 10) to base 4\nAnswer: 1103000330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wn when two letters picked without replacement from {n: 1, w: 4, b: 1, x: 2}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -35, -40, -33, -14?\n\"Answer: 6*p**2 - 23*p - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 11 = -4. Let h(f) = f + 588. Let v(g) = -292. Let q(a) = h(a) + 2*v(a). Give q(j).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, -1\/294, 1, -2\/3 in ascending order.\nAnswer: -2\/3, -1\/294, 0.1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -6\/5 (b) 0.4 (c) 5560 (d) 98\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 359*l**3 - 1086*l**3 + 374*l**3 + 377*l**3.\nAnswer: 24*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000308566 to six decimal places.\nAnswer: 0.000031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 422414800?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 3311890102 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 17\/4 of a decade?\nAnswer: 510","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*n - 130 + 703. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*k + 31*k = -47*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 114\/19 + (-196)\/32\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from miiriiiiqriiiir. Give prob of picking 1 q and 1 m.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7416)\/108 + (5200\/75)\/(-13)?\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (3 + (2 + sqrt(1377))**2 - (sqrt(1377) - sqrt(1377)*3*-4)**2)*3.\nAnswer: -693991 + 108*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 11*s**2*t**2 + 13*s**2*t*v + 83*s**2*v + 2*s**2 wrt t?\nAnswer: 22*s**2*t + 13*s**2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let 15*j**4\/4 - 5409*j**3 - 165147*j**2\/4 - 55449*j - 19575 = 0. Calculate j.\nAnswer: -6, -1, -3\/5, 1450","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 7*s**2 + 26*s + 3. Let z be k(-5). Suppose -w + 322 = -z. Is w a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:22 PM and 3:00 PM?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 37\/(-3)*36*117\/(-1404).\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.003193141146 rounded to 7 dps?\nAnswer: -0.0031931","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.16769 (b) -6\/13 (c) -0.11 (d) 94\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -40651, -81322, -121999, -162676, -203347?\n\"Answer: i**3 - 9*i**2 - 40651*i + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 344 minutes after 12:48 AM?\nAnswer: 6:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -73488634\/17 bigger than -4322861?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2561 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1487 to the power of 1\/2, to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 2*o**2. Let p(q) = -4*q**2 - 14*q - 14. Let a(h) = -h**2 - 3*h - 3. Suppose 0 = -4*v - v - 140. Let x(d) = v*a(d) + 6*p(d). Calculate x(z(s)).\nAnswer: 16*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 7\/21*(-3)\/(-3). Let f be 1\/5*(-2 - 1). Let z = -115 + 114. Which is the nearest to z? (a) 5 (b) s (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1952835571 to the nearest integer?\nAnswer: 1250","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 3*t. Let q(l) = -16*l + 28. Let b(a) = h(a) + q(a). Let o be b(2). Suppose 2*g + 3*p + 3 = 4*p, g - 5*p = -15. Solve -o*u = -g*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -d9 + 4?\nAnswer: -d5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4025.\nAnswer: 5, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*p**3 - 2*p + 2*p + 4*p**3.\nAnswer: 6*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*k**4 - 70264*k**3 - 773076*k**2 - 2459960*k - 1757150 = 0. What is k?\nAnswer: -5, -1, 35143","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*x**2 - 125*x + 19380.\nAnswer: -5*(x - 51)*(x + 76)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 956 and 14012092?\nAnswer: 956","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -56 + 82. Let p = r + -11. Is 3 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -93 - -93. Suppose -3*f - 12 = a, -3*s + 537 = 2*s - 3*f. Let j = s + -98. Is j less than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7086900 rounded to the nearest 10000?\nAnswer: 7090000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2697 by 93.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 3\/4, 9, 2, 1\/4, -11?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0032454616 to 3 dps.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-7011)\/(-41)*17\/3. Suppose -6*h + s = -321. List the prime factors of h.\nAnswer: 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that -v**2 + 5*v**2 + 3*v**3 + 32*v - 2*v**2 - 33*v = 0.\nAnswer: -1, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 30*c + 38. Let z be p(29). Let r = 1271 - z. Does 15 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 8*k**3 - 2*k - 1. Give p(-1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 + 71*h - 44*h - 19 - 35*h + 15.\nAnswer: -8*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 120 and 46635980?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, -1, 5.\nAnswer: -11, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 21\/4 of a litre?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 549 minutes before 2:22 PM?\nAnswer: 5:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 10 - 3 + 3 + m**3 - 9*m + 5*m**2 + 3*m**2. Is o(-9) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/2 of a century in months?\nAnswer: 16200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one quarter of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-9)\/5 - -2) + (-6072)\/(-115) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.301 - 0.319. What is the biggest value in 0.3, -4, 0, u?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -19690159715095 and -0.3.\nAnswer: -19690159715095.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -94*w - 40. What is the tens digit of m(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2593922*k**5 + 145*k**4 - k**3 + 97555951*k**2 - k wrt k.\nAnswer: -155635320*k**2 + 3480*k - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2289 + -1913. Calculate the remainder when n is divided by 42.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00006665297 rounded to 7 decimal places?\nAnswer: 0.0000667","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(539) - 3*sqrt(539)*4 - (-1*sqrt(539) + sqrt(539))*-1)**2 + -1.\nAnswer: 65218","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2217?\nAnswer: 3, 739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 1\/3 (b) 133 (c) 2\/33 (d) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.4 (b) 15 (c) -592\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -j**3 - 8*j**2 - 8*j - 1. Let q(r) = -r**3 - 10*r**2 - 9*r - 7. Let l be q(-9). Calculate the smallest common multiple of k(l) and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 9469.49 to the nearest 100.\nAnswer: 9500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(2\/7)*w**(-2\/9)\/w*w*w*(w*w\/(w*w**2))\/(w\/w**4) assuming w is positive.\nAnswer: w**(193\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 38874331 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 843\/9 + 1 + -4 - (-5)\/15?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = z + 1. Let w be (-4)\/(-4 + 1 + 1). Suppose 0 = f - 1, -3 = -5*g + w*f - 0. Let k(o) = -3. Give g*k(a) + 3*b(a).\nAnswer: 3*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -216*h**3*v**2 - 266*h**3*v + 104*h**2*v**2 + h**2*v + 15*v**2 - 5*v - 1 wrt h?\nAnswer: -1296*v**2 - 1596*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 139\/270438 and 22\/2961?\nAnswer: 811314","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*p + p - 8. Suppose -13 = -p*n - 3. What is the units digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19670951 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4.6 - 0.8. Let f = i - 48.5. Let g = -57 - f. Round g to the nearest integer.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31 - 11 = 3*i. Let f be 2*(-7)\/i + -3. Let b(g) = 6*g - 4. What is b(f)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -119 (b) 0.2 (c) -9490\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5 - 8. Let r = 0 - t. Solve -3*j + r*s - 5*s = -19, -2*s = -j - 7 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -52498\/11817 + 390\/101. Let x = d - 5407\/2574. Find the common denominator of 142\/8*6\/(-21) and x.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5332701, 5332719, 5332737, 5332755, 5332773?\nAnswer: 5332791","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*x = -5*x - 26. Let i be 49\/(-7) + 2 + (x - 0). Let t(p) = -p**2 - 6*p - 2. Give t(i).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1044403 is divided by 262?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 127914?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 0.9739568 milligrams?\nAnswer: 0.0000009739568","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that 2*s**4\/15 + 14*s**3 + 2062*s**2\/5 + 6958*s\/3 + 9604\/5 = 0.\nAnswer: -49, -6, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + 4 - (0 + 1 - 6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, 55.04, -2 in descending order.\nAnswer: 55.04, -2, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -39, 0.01, 4, 0.5, 27?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 114384359 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 244 minutes before 8:25 AM?\nAnswer: 4:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3 + 26. Suppose 4*w = r - 9. What is the third derivative of -w + 2*l**2 + 5 + 2*l**3 wrt l?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -12*s - 7. Let i(f) = -203*f - 119. Let l(r) = 2*i(r) - 35*t(r). What are the prime factors of l(5)?\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by 5\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (13 - ((-26 - -19) + 5 + 1)) + 0?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -2 + (-4 - (-3 + -1)). Let u(r) = -r - 1. Let d(w) be the third derivative of -w**3\/3 + w**2. Let f(h) = k*u(h) + d(h). What is f(1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-1\/5)*l*l*l\/((l\/(l*l**(-8)*l))\/l))\/(l*(l*l\/l**2)\/l)**(29\/5)*((l*l\/(l**(1\/7)\/l))\/(l**(-2\/3)\/l))**(-2\/53) assuming l is positive.\nAnswer: l**(-18758\/5565)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 8 = -4*t, 3*t - 10 = 4*u - 4. Solve -4*w + 5*c = 3*c + 8, u = 3*w + 2*c + 20 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 q when two letters picked without replacement from ogqqeqgoqxqqqq?\nAnswer: 16\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 4, m: 2, p: 1, n: 2, c: 3}. Give prob of picking 2 c.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 21463536?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 0.5 (b) -2\/27 (c) 13 (d) 62\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -24 + 21. Let p be ((-112)\/v)\/(2\/33750). What is p rounded to the nearest 100000?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = -3*x. Suppose x = 5*o - 5*b - 15, -o + 3 = 3*b. Suppose -q**2 - 3*q - 3*q**2 + 18*q**o - 14*q**4 + 3*q = 0. Calculate q.\nAnswer: 0, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23570 is divided by 71?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -r**2 - r + 1. Let w(j) = 8*j**2 + 7*j - 4. Calculate 6*o(l) + w(l).\nAnswer: 2*l**2 + l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 12*z. Let t be i(2). Let b(n) = 9*n - 4. Let p be b(1). Suppose -s + 26 = p*m, 56 = 3*s - 0*s + 4*m. What is the greatest common divisor of s and t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k + 30 = -5*d, -2*d - 2*d - 3*k = 23 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 74d (base 14) to base 2\nAnswer: 10110100001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the second derivative of -7*x**3\/2 - 19*x**2\/2 - 27*x. Is z(-26) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 49 - 149\/3. Let f = 59 + -57. What is the nearest to -0.1 in o, 0.5, f?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -8 (b) -4 (c) 2\/7 (d) -163\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b**3 - 9*b**2 + 8*b + 2. Let t be y(8). Suppose 7*p - 6 = 3*q + 2*p, t*p + 9 = 5*q. Suppose -2*x - 42 = -q*g + 12, x = 5*g - 90. Is 6 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -28515 + 29143. Is 623 >= q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -355, -280, -175, -40, 125?\n\"Answer: 15*y**2 + 30*y - 400","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 o when two letters picked without replacement from {j: 4, k: 6, z: 2, m: 1, u: 2, o: 3}.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -82 or -83?\nAnswer: -83","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6186766?\nAnswer: 2, 3093383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -40*x**2 - 41*x - 127. Let z(y) = 22*y**2 + 21*y + 63. What is -6*q(p) - 11*z(p)?\nAnswer: -2*p**2 + 15*p + 69","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 176380589?\nAnswer: 7, 11, 227, 10091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -6*s**3 - 6*s**2 + s + 8. What is the remainder when u(-2) is divided by (-12)\/(-9)*27\/2?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*i - 18*i - 3*i)*(-2 - 5 + 4)*(-1 + 1 - 2*i)*(6 - 3 - 4).\nAnswer: 102*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 + 5 + (532 - 602)?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 31\/((-2170)\/(-30))*-1.\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 96 and 48?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 121629 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 15 = -0. Suppose u*i = -i. Suppose 3*w - 27 = 5*q, -2*w + 2*q + 0*q + 22 = i. Is 14 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -179 at most -1955\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -14807 or -14710?\nAnswer: -14710","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 7151 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1880, -1890, -1900, -1910?\nAnswer: -1920","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -138*a + 102*a - 252 for a.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5020 is divided by 463?\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 52*c - 39*c - 16 + 0 + 554*c**3 - 13*c.\nAnswer: 554*c**3 - 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 13*k**3 + 78*k**2 + 10*k - 15. Calculate z(-6).\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 2 - 14 - 15*w + 21*w - 1. Is r(9) a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -0.4, -1\/4, 45 in decreasing order.\nAnswer: 45, 5, -1\/4, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 42 and 56.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 714551 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (228 - 133 + 131)*(0*y**3 + 0*y**3 - 2*y**3 + 1).\nAnswer: -452*y**3 + 226","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18295*l - 5604*l + 101350*l.\nAnswer: 114041*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the first derivative of b**3\/3 + b - 7138. Let t(w) = 4*w - 1. Give 2*k(s) + t(s).\nAnswer: 2*s**2 + 4*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-45)\/6*(-62)\/(-93)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 456 + -450. Solve 3*j - 4*t + o = 0, -15 = -5*t - 0 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.2211 rounded to 1 decimal place?\nAnswer: -3.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 2\/((-4)\/(-10))*-1\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2490 is divided by 15.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/6, 0.3, 4\/5, -1?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-6\/5)\/r**(-1\/15) assuming r is positive.\nAnswer: r**(-17\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*d - 18 + 70. Let i(h) = -h**3 - 13*h**2 + h + 18. Let r be i(d). Solve r = -0*n - 2*n - j, 2*n - 5*j - 13 = 0 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w**2 - 22*w - 25. Give b(22).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 87781019 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 97\/504 and 37\/144?\nAnswer: 1008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 104 = -n + 3*n. Suppose -3*d + 24 + 16 = 5*f, f - 5*d - 36 = 0. Suppose n + f = 3*b. Is b a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -119\/6 and (123\/(-15))\/((-56)\/35).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 151800\/(-336336) + (-348)\/(-78) + -4\nAnswer: 1\/98","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 868715 is divided by 59?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-one eighths of a litre?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -557618 + 557392.093. Let f = o - -226. Round f to two dps.\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 106141 to the power of 1\/3, to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y + 16 = 3*t, 18*y - 10*y + 3*t = 5*y + 6 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -24 divided by 369\nAnswer: -8\/123","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1661396 by 6809.\nAnswer: -244","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in -0.1, 4, -1, -0.2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -42*a - 65. Let t be w(-6). Suppose i + t = 18*i. Sort i, 2, -5 in decreasing order.\nAnswer: i, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 641087120 a multiple of 401?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the second derivative of 25*v**3\/6 + 360*v**2 - 259*v. Let x be t(0). What is the greatest common factor of 45 and x?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -195 - -100. Let p = g - -94.795. What is p rounded to two dps?\nAnswer: -0.21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 4*g**2 + 6*g - 5. Let d be o(-5). Calculate the greatest common factor of d and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 38774, 155103, 348984, 620417?\n\"Answer: 38776*i**2 + i - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*c**2 + 0*c**2 + 2*c**2)*(49*c**2 - 36 + 36 + (-c + c + c**2)*(-2 + 0 + 0)).\nAnswer: -47*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ooj when three letters picked without replacement from ojojjjjjjjjo?\nAnswer: 9\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 15 = -3*m. What is the remainder when 8 is divided by m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 2*j + 3. Let h(c) = 2*c + 4. Suppose 10*p - 11*p = -3. Give p*g(d) - 2*h(d).\nAnswer: 2*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 423645 is divided by 12749?\nAnswer: 2928","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 12345539 + -321148197\/26. Let w = 6316 + h. Find the common denominator of -115\/18 and w.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 6*n**2 + 689*n - 688. Let f be o(1). Let l(u) = 4*u**2 - 16*u - 13. Let y(z) = -3*z**2 + 11*z + 9. Give f*y(g) + 5*l(g).\nAnswer: -g**2 - 3*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3 (b) -9623 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -5*c + 1. Let m(i) = -4*i + 1. Suppose -3*n + 15 = -3. Let x(l) = n*m(l) - 5*b(l). Differentiate x(u) wrt u.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 81*b**3 - 165*b**3 + 196*b**3 + 293*b**2 + 151*b**3 wrt b.\nAnswer: 1578","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 3*s + 24 = 0. Let f = 0 - s. What is the units digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b = p + 1, -4 = 4*p + 7*b - 2*b for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10\/(-3))\/((-56)\/21)?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 40577 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -51*f + 50*f. Sort -4, f, -1, 168 in increasing order.\nAnswer: -4, -1, f, 168","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16240 a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -35175*q**2 + 41305 with respect to q.\nAnswer: -70350*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 18119 - 8736. What is the remainder when z is divided by 136?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 59*n + 670*n - 50*n + 36666 for n.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2 or -1\/960641?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -78 by 1.\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -418 (base 11) in base 15?\nAnswer: -238","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = 3*l - y + 3, -l + 4*y + 14 = 0. Let d be 2 + (0 - l) - -2. Find the second derivative of -w**2 - 30*w + 4*w**2 + 22*w - w**d wrt w.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 24586 (b) 2\/7 (c) 14 (d) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.2 and 4587.07?\nAnswer: 4587.27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 163026, 163099, 163172, 163245, 163318?\nAnswer: 163391","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 45 + -35. Let y(g) = 7*g - 1 + x - 8. Determine y(-1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 982.974l to millilitres.\nAnswer: 982974","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 3 + (2 + ((3 + sqrt(243) - sqrt(243)) + -2 - (sqrt(243) + 6*(3 + sqrt(243)))))**2 + -3.\nAnswer: 1890*sqrt(3) + 12127","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 54219466.8204 - 54231409. Let i = 11952 + s. Let m = -0.0596 - i. Round m to 0 dps.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 10*s + 15*s**2 + 4*s**2 + 20*s**2 - 4*s**2 wrt s?\nAnswer: 70","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 267957?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 14948 and 31524.\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (10 - 18\/135) + -5*10\/5\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -709974, -709975, -709976, -709977, -709978?\n\"Answer: -n - 709973","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -27835441 and 0.02?\nAnswer: -556708.82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*h - h**2 + 0*h)*(537507*h + 537508*h - 1075017*h + 116*h**2 + 4) as a*h**4 + i*h**3 + y + o*h**2 + j*h and give a.\nAnswer: -116","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -619.035801 + 0.634801. Let m = z - -618. Round m to 1 dp.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 59, 168, 263, 338, 387, 404, 383?\n\"Answer: -z**3 - z**2 + 119*z - 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 107.9 and -1.\nAnswer: -107.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 87 + -87. Solve 3*x - 3*c = 3, x + 3*x - 3*c - 8 = r for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 60.59391 rounded to the nearest 10?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -5\/36, -4\/61 in descending order.\nAnswer: 4, -4\/61, -5\/36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 0*h**2 + 1 + 5*h**2 - 8*h**2. Let p(y) = 7*y**2 - 2. What is 5*k(g) + 2*p(g)?\nAnswer: -g**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-35)\/(665\/(-38))*2*(-3)\/12.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8 + 17. Let j = -3 + 5. Suppose j = 2*o + d - 0*d, 5*d + 14 = -2*o. Solve 4*u = 3*c + g, o = 4*c + 5*u + 15 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -21*j**2 - 55*j + 7. Give t(-3).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 42, -1, -6, -3, 3, -4, 322.\nAnswer: -6, -4, -3, -1, 3, 42, 322","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3239 is divided by 332?\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 2*j**2 - 31*j + 2. Calculate the remainder when 65 is divided by x(17).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -16802 + 16894. Calculate the highest common divisor of 2967 and g.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 73 + -72. Which is the closest to z? (a) 2 (b) -2\/9 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27747593551 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -94808 - -94769.043. Let h = -9.8 + 48.8. Let q = c + h. What is q rounded to two decimal places?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**1\/r**(1\/4)*(r\/(r\/r**(2\/3)))**(-13))**(24\/5) assuming r is positive.\nAnswer: r**(-38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -3, -30 in ascending order.\nAnswer: -30, -3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 4*i**2 + 63 - 29 + 9*i**2 - 36.\nAnswer: 5*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y**3\/17 - 7742*y**2\/17 + 741002*y\/17 - 17517370\/17 = 0. Calculate y.\nAnswer: -3965, 47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 3*k + 2*k + 1 = 0, 5*k = 25. Suppose -2*z - 10 + 2 = 0. Sort z, 3, o in descending order.\nAnswer: 3, o, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 35860 and 380776.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 68924527 to the nearest integer?\nAnswer: 410","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wmm when three letters picked without replacement from arwraammmaqq?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5 + 10. Suppose 4*j + 4*x = -3 + 11, 3*j = 3*x + 30. Let m(q) = -q**3 - 8*q**2 + 2*q + 20. Let l be m(-8). Solve 6 = -s - y*b, l*s = -b + 1 - j for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-8 + (-15)\/(-2))\/(2\/4). Let f = 3 - 2. Let c = f + -1.1. Which is smaller: o or c?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 5, l: 13}. Give prob of sequence ylll.\nAnswer: 143\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (4\/(-6))\/((-7)\/315). Let j be (6 - 2) + h\/(-8). Factor 0 + j*p**2 + 1\/4*p**3 - 1\/2*p.\nAnswer: p*(p - 1)*(p + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 62, -2, 11, -1, -5.\nAnswer: -5, -2, -1, 11, 62","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w**3 + 9*w**2 - 12*w + 5. Give z(8).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 134698 is divided by 3451.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2433 + -2418. Calculate the lowest common multiple of 110 and u.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 67.7 - 68. Which is the smallest value? (a) 0.1 (b) -1\/9 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26842157 = -66*v + 810589. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32729?\nAnswer: 23, 1423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = 2*v - 15, -4*v = -3*f - 11. Let l(d) = 8 - 3*d - 19*d**3 + 20*d**f + d**2 - 7*d**2. Calculate l(6).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 171836987?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-4)\/(z\/(z\/((z**(-1\/12)\/z)\/z))))\/(z\/z**20*z**(-4)) assuming z is positive.\nAnswer: z**(253\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (31 - 14) + (6 - (-2 + 14)) + -3.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**3 - 228*r**2 + 4*r + 912.\nAnswer: -(r - 2)*(r + 2)*(r + 228)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in -0.1, 6, 747, 4, -5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:28 PM and 5:55 AM?\nAnswer: 687","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2221 is divided by 53.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -33*d**2 + 30*d - 29. Determine t(4).\nAnswer: -437","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 3020 (base 14) to base 9\nAnswer: 12287","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2181\/200 + -85\/8. Let g = 9118 + -9119. Which is smaller: t or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 1, 16\/13, 63.\nAnswer: -6, 1, 16\/13, 63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 135 is divided by 14?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -5*(sqrt(832)*2)**2 + (sqrt(832)*1 + sqrt(832) + 5)**2.\nAnswer: -13289 + 160*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 7\/36 and 6*(-6582)\/(-8856) + 5\/(-1)?\nAnswer: 1476","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2 + 18. Suppose 3*o = 241 + g. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -139546, -139548, -139550, -139552?\nAnswer: -139554","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.81947 milliseconds in minutes?\nAnswer: 0.0001303245","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4023 and 50126580.\nAnswer: 4023","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + -3*(-5 + sqrt(245) + -2 + sqrt(245) + sqrt(245) + 1*sqrt(245)*-1))**2.\nAnswer: -1512*sqrt(5) + 9144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 14245 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 615 is divided by 114.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3036 and 54372.\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -95*i + 1557 - 543 = 74*i for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (3\/3)\/(1\/2863005). Suppose -5060071 = -4*w + v. Suppose -2*k = -w - 1279231. Round k to the nearest 100000.\nAnswer: 1600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the third derivative of l**7\/840 - l**6\/120 - 3*l**4\/8 - 7*l**2. Let a(k) be the second derivative of b(k). Factor a(y).\nAnswer: 3*y*(y - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2385*b*t**2 + 217*b + 1 wrt t.\nAnswer: 4770*b*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 17*n**2 - 15*n + 9. Let y be f(11). Round y to the nearest 100.\nAnswer: 1900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 2*f**2 + 6128*f + 69. What is a(0)?\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 25*(1 - (-1 + 1)). Let x be 2\/10 - (-120)\/i. Let r = 0 + x. What is the remainder when 13 is divided by r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u**2 - 12*u + 9. Let r be b(13). Suppose 2*c = c - y + 4, 0 = -5*c - 4*y + r. Suppose 45 = 3*a + c. List the prime factors of a.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 1540, -52, 6 in decreasing order.\nAnswer: 1540, 6, -3, -52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2009 and 1651741.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 53*n - 474. Let y be a(9). Put 5, -1, -8, y in decreasing order.\nAnswer: 5, y, -1, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -14*s**3 + 63*s**2 + 1342?\nAnswer: -42*s**2 + 126*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 18, k: 2}. What is prob of picking 1 k and 1 t?\nAnswer: 18\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**16\/i)\/i**(10\/9))\/(((i*i*i**(15\/7))\/i*i*i)\/i**19) assuming i is positive.\nAnswer: i**(1748\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 10 - 5. Suppose 3*q = -15, -4*q - 8 = -4*i + 24. Suppose i*g = v + 14, -4*v - 34 = -5*g - r*v. Solve -3*m + f + g = -5*m, f = 2*m + 6 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the third derivative of 0*j**3 - 7\/90*j**5 + 0*j + 230*j**2 + 1\/6*j**4 + 1\/180*j**6 + 0. Determine q, given that x(q) = 0.\nAnswer: 0, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 60, -12, 78, -21, 3, -2 in increasing order.\nAnswer: -21, -12, -2, 3, 60, 78","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.055383973 rounded to four dps?\nAnswer: 0.0554","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f - j + 6 = -0*j, 3 = -4*f + 870*j - 868*j - 9 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (284\/(-8))\/((-6)\/24). Let i(w) = -5*w**3 - 4*w + 4*w**2 - w**2 + 139 - j. Let u(l) = -l**3 + l**2 - l - 1. Calculate -i(f) + 4*u(f).\nAnswer: f**3 + f**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -14 - -7. Let s be 733\/j - (-6)\/(-21). What is s rounded to the nearest 10?\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3079 is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 0 + 0*o**4 + 2*o**4 - o**4 + 2 with respect to o.\nAnswer: 4*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a - 5*l = 4, -5*a + 77*l = 79*l + 13 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 2*b. Let d(p) = p. Let s(f) = -4*d(f) + q(f). Let l(t) be the first derivative of 1\/2*t**2 + 0*t + 2. Calculate l(s(j)).\nAnswer: -2*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -51 plus 8899.4?\nAnswer: 8848.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 773 - 398 - 375 + k. Let n(v) = -48*v. Determine h(n(j)).\nAnswer: -48*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -26*j**2 + 61*j**2 - 34*j**2 to the form z*j + m*j**2 + a and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 4 = -0. Let k be (-6)\/(((-9)\/(-12))\/(-1)). Suppose 3*n - 5*q + 1 = -9, -o*q + k = 4*n. Which is bigger: n or 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the second derivative of -q**7\/2520 + 23*q**5\/120 + 5*q**4\/12 - q. Let c(i) be the third derivative of y(i). List the prime factors of c(0).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17474832 divided by -8208.\nAnswer: 2129","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*l + 3*l - 2*l)*(1 - 1 + 5*l**2) + 6*l**3 - 2863*l + 2863*l as k*l + a*l**2 + f + z*l**3 and give z.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v\/v**(-1\/2)*v)**6\/(v*v*v**(1\/4))**(-6\/17) assuming v is positive.\nAnswer: v**(741\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1\/(-1))\/(3\/3). Let h = 2 + l. Let i(o) = -14*o**2 + 69*o - 70*o - h + 2. What is i(1)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a**2 - a - 349. Give r(19).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 288226226?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d**2 + 300*d - 3287. Give m(11).\nAnswer: 134","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l**3 - 8*l**2 + 6*l + 3. Let d be g(7). Let m be (30\/d)\/(6\/(-20)). Suppose -7*h + m = -2*h - 4*a, 10 = 5*h - a. What is the units digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -980*w + 989*w = 11772. What is the tens digit of w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -462 - -466. Suppose 13*w - q + 1716 = 14*w, o*w - q - 6869 = 0. List the prime factors of w.\nAnswer: 17, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -10*f**2 + 7*f + 10. Let t be s(-3). Sort t, -3, -1.\nAnswer: t, -3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2312394 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -0.2789 (b) 0.5 (c) 0 (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 12287371583 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -348, -8759, -4 in descending order.\nAnswer: -4, -348, -8759","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 10195 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 343.0837 millennia?\nAnswer: 3430.837","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = -5*n - 23, a - 7 = 3*n - 0*a. Let s be (-46)\/(-8) - 3\/(-12). Let c be 4\/s + (-14)\/3. Put c, -5, n in descending order.\nAnswer: n, c, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1232863 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12*300\/(-15795) + 22\/(-26) + 1?\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 326330?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34 = 3*y - 5*k, 3*y - 5*k - 19 = 5*y. Suppose y*f = r + 288, -f + r = -2*r - 88. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 2*x**2 - 3*x. Let h be 20\/15 - (-6)\/9. Let y be f(h). Solve 16 = -4*q + 2*n, 0 = 2*q + y*n - 1 + 9 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 3, b: 1, k: 1, x: 1, g: 1}. What is prob of sequence bz?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-29)\/((33\/(-18))\/(5170\/(-1410)))?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2186 or 2054?\nAnswer: 2054","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -10014.21 - -10017.609877. Let c = -3.4 + l. Round c to 5 decimal places.\nAnswer: -0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + 6 - (-3 + 5 + -2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 + -4)\/4 - (-3)\/(48\/268).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 121 - 133. Let k be (-10)\/30 + (-4)\/z. Solve k = 5*b - 8*b + 6 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l. Suppose 15 = u - 3. Let m(r) = -3*r + 18 - u. Determine m(b(h)).\nAnswer: 3*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 309487, 620758, 932027, 1243294?\n\"Answer: -h**2 + 311274*h - 1786","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 112351895 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 2*u - 1289 = 0, -5*u - 516 = -2*r - 4*u. Suppose 2*v = -5*b + 258, 4*v = -5*b + v + r. What is the units digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oeq when three letters picked without replacement from eqbbbeoeqebo.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 107095.\nAnswer: 5, 21419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 minutes before 9:20 AM?\nAnswer: 8:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 999663.8 centuries?\nAnswer: 9996638","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kregrkekkikk. Give prob of picking 2 k, 1 g, and 1 e.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3\/19 - 51\/38. Let j = 1.2 + -2.2. Let h = 0 - j. Which is the second smallest value? (a) h (b) -1 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*k**2 + k**3 - 5*k**2 + 6*k**3 - 5*k**3 wrt k.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the first derivative of -l**3\/3 - 13*l**2\/2 - 26*l + 4956. Determine p(-10).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the first derivative of -u**3\/3 + 11*u**2\/2 - 16*u + 991. Determine c(9).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 98*s**3\/3 + 3122*s**2\/3 + 874*s + 186.\nAnswer: 2*(s + 31)*(7*s + 3)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 16 = -0*p - 5*l, -3*p - l - 112 = 0. Let c = 5626 + -5730. Let h = p - c. List the prime factors of h.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1*((-6)\/3 + 7). Let d be (8\/90)\/(6\/15). Let o = 2.2 - 0.2. What is the nearest to a in d, -5, o?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/x**(2\/3))\/x*x*x**(-2\/41) assuming x is positive.\nAnswer: x**(35\/123)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 816631 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2553?\nAnswer: 3, 23, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 31 - 29. Solve -v + a*v = -2 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -4 (b) -55 (c) -0.2 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is seven eighteenths of a day in seconds?\nAnswer: 33600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -10 + 225\/18 + (-3)\/(-2) - 29820\/7470\nAnswer: 2\/249","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26041 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 105*u + 9110. Let v be g(0). Round v to the nearest 1000.\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:52 AM and 9:46 PM?\nAnswer: 714","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 111 + -98. Which is smaller: 6 or i?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + (-4 + 9 - 6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -221 + 226. Suppose 3*v + 2*v = -g*k - 15, 4*v - 23 = 3*k. Calculate the remainder when 7 is divided by v.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 577278 divided by 4\nAnswer: 288639\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -26 - 23 - 28 + 78 - 11*j**2 + 41*j**2 to the form k*j**2 + t*j + h and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b - 2*j - 16 = 0, 2*b + 3*j + 13 = -8 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -6*o - 19. Let s be f(-4). Solve 3*m = s*q + 10, -4*m + 5*m + 30 = -5*q for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -16453 and -0.4.\nAnswer: 6581.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -336, -710, -1084, -1458, -1832?\nAnswer: -2206","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (18\/54)\/((-12)\/(-27)).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the first derivative of 92*o**5\/5 + 5*o**3\/3 + 4*o**2 - 92. What is the third derivative of u(a) wrt a?\nAnswer: 2208*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:35 PM and 5:55 AM?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 313 + 113 = 0. Let w(h) = 15*h**2 + h. Let m(l) = l**3 + 7*l**2 - l - 8. Let c be m(-7). What is the remainder when u is divided by w(c)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*g**3 - 3*g**3 - 3*g**4)*(3 - 3 - g).\nAnswer: 3*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6807, -27144, -60877, -107868, -167979, -241072?\nAnswer: -327009","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is b - -d3a4?\nAnswer: d3af","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y**5\/4 - 213*y**4\/4 - 399*y**3\/4 + 1053*y**2\/4 + 621*y\/2 = 0. What is y?\nAnswer: -69, -3, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 - ((-5 - 2) + 8 + -4).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (-1*sqrt(2793))\/(sqrt(27)\/(sqrt(9) + sqrt(18)\/sqrt(2)) - sqrt(3)).\nAnswer: 1 + 14*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -3*v**3 + 18*v**2 + 3*v - 8. Determine w(6).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -14115 (base 6) to base 16\nAnswer: -89f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0825 - -93.\nAnswer: 93.0825","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2074857)\/(-2130660) - (-2)\/(-35).\nAnswer: 11\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - m + 46 = 2*l, 74 = 5*l - m. Let o = -4 + 1. Let n be 2\/l - (-1)\/o. What is the second biggest value in -5\/2, -0.3, n?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 19526?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 347 - 322. Suppose 21*l = d*l - 136. Calculate the remainder when 62 is divided by l.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/8 - 15\/(-4). Suppose r*m - 16 = -4. Let p = -4314.2 + 4311.2. What is the second biggest value in -0.08, m, p?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 83303877 and 219?\nAnswer: 219","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2424859 is divided by 246.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -566 + 230 = -3*i. Suppose f = -3*f + i. Calculate the lowest common multiple of f and ((-140)\/(-21) - 6)\/(18\/270).\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that -2*g**4\/7 - 19*g**3\/7 - 48*g**2\/7 - 11*g\/7 + 20\/7 = 0.\nAnswer: -5, -4, -1, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31 is divided by 44\/6*(-3)\/(-2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -23*s + 488 - 488 + (2*s + s - 4*s)*(2 + 3 - 3) + 0*s + 0*s - 2*s.\nAnswer: -27*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 18\/225*-5 - (-192876)\/(-88760). Let z = -7231 - -4584453\/634. Let c = z - n. Calculate the common denominator of -121\/20 and c.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a**5\/9 + 112*a**4\/9 - 296*a**3\/9 - 112*a**2\/9 + 100*a\/3 = 0 for a.\nAnswer: -1, 0, 1, 3, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uv when two letters picked without replacement from {f: 4, n: 2, u: 3, v: 8}?\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -4 - 4 - (-17 - -5)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-1656)\/(-6))\/(6\/4). Let g = 260 - t. List the prime factors of g.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0514109461 to five dps.\nAnswer: -0.05141","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 43928124, 43928104, 43928072, 43928022, 43927948?\nAnswer: 43927844","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5 + -1. Suppose 5*m - 35 = -2*o, -g*o + 3*m + 5 = -0*m. Suppose o*t + 77905708 = -2094292. Round t to the nearest 1000000.\nAnswer: -16000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 328985765?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 19\/45 - 1\/5. Suppose -3*d + 1 + 11 = 0. What is g in 2\/9*g**3 + 0 - 2\/9*g - 2\/9*g**2 + h*g**d = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25417*m + 25113*m = -20672 for m.\nAnswer: 68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 46860 and 1760.\nAnswer: 374880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*j**4 - 3*j**4 + j**4)*(j + 2*j + 2*j) + (-5*j**3 + 5*j**3 + 2*j**3)*(0 - 2*j**2 + 0) - 3*j**5 - 4*j**5 + 6*j**5.\nAnswer: 10*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -76417, -152818, -229219, -305620?\nAnswer: -382021","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*d**3*f**4 + 4*d**3*f**2 + d**3 + 526*d**2*f**2 - 151606*d*f**4 wrt f?\nAnswer: 72*d**3*f - 3638544*d*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -316*j - 20544 = -340*j. Calculate the lowest common multiple of 264 and j.\nAnswer: 28248","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 999555.\nAnswer: 3, 5, 37, 1801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the third derivative of j**4\/24 + 5*j**3\/6 + 12*j**2 - 2*j. Let x be s(-8). Let h(q) = -q**2 + 1 + 5543*q - 5543*q. Determine h(x).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 9*j*u**3 - 5*j*u**2 - u**3 - 336*u wrt j?\nAnswer: 9*u**3 - 5*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (27\/15)\/((-9)\/(-2055))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*p + w = -14*p + 2, -3*p - w = 8 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -638372 rounded to the nearest 10000?\nAnswer: -640000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -2*v, 3*a - 5*v = -2*a + 210. Calculate the remainder when -2 + 6 + (0 - -164) is divided by a.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -7*s**2 - 2*s - 2. Let t(y) = y + 1. Suppose 3*o - 4*h + 35 - 57 = 0, 0 = 3*o + h - 2. What is o*t(q) + n(q)?\nAnswer: -7*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k**2 - 24*k - 19. Let s be t(-23). Solve -4 = s*a + 12 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.3318204 rounded to one decimal place?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -18*z + 907. Calculate p(37).\nAnswer: 241","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 8*v. Let p(l) = -l + 1. Let g(h) = 8*h - 4. Let q(n) = -g(n) - 4*p(n). Give a(q(b)).\nAnswer: -32*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t**3 - 5*t**2 - 5*t + 5. Suppose 5 = -m - 0*m. Let z(q) be the first derivative of -4*q**3\/3 - 2*q**2 + 4*q - 4495. Calculate m*z(y) + 4*d(y).\nAnswer: -4*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -234.29 - 4.71. Let d = -239.599 - q. Let l = -0.099 - d. What is the nearest to -1\/6 in -0.4, -4, l?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1\/2 (b) 5\/2 (c) 2 (d) -5 (e) 0.24 (f) 2\/3 (g) 69\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 29728999 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/252)\/((-1)\/(-15))*350\/1000.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d**3 - d**2 + 3*d + 4. Let w be r(-3). Suppose 3*j - 12 = 0, -4*y = -w*j + 9*j - 20. What is the smallest common multiple of y and 30?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 + 13 + (0 - -16 - (-1 - -18))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k - 4*w = 0, 0 = -2778*k + 2775*k - 2*w for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = -83 - 11202. Let x = -1211 - j. List the prime factors of x.\nAnswer: 2, 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1 and 1949.\nAnswer: 1949","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-9)\/6)\/(12\/80*-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 != -113\/11073062?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 2, y: 2, n: 4, u: 1}. What is prob of sequence ynun?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -237022 or -234915?\nAnswer: -237022","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 16*g**3 + 4*g**4 + g**2 + 4*g + 5 + 7*g**3 - 6*g**3 + 11*g**2. Let v(o) = -o**3 - 1. Let x(t) = f(t) + 5*v(t). Factor x(i).\nAnswer: 4*i*(i + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 18*r**2 + 28. Let p(b) = -6*b**2 - 10. Let k(x) = 14*p(x) + 5*z(x). Let g(u) = 31*u**2 - 2. Give k(g(a)).\nAnswer: 5766*a**4 - 744*a**2 + 24","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 0, -1, 10, 39, 92, 175, 294, 455?\n\"Answer: v**3 - 8*v + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7923, -7931, -7937, -7941, -7943?\nAnswer: -7943","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2\/1103 - -2160\/25369. Which is the nearest to 3? (a) -1\/7 (b) w (c) 1\/4 (d) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:10 AM and 12:20 PM?\nAnswer: 670","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: a50760 (base 13) to base 6\nAnswer: 214400244","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/8*0 - -128000. Let s be (r\/6)\/(14\/(-35700)). What is s rounded to the nearest one million?\nAnswer: -54000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 2*h**2 - 4. What is the smallest common multiple of b(3) and 18?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -17.16 + 18.16. What is the nearest to g in -0.02, 3, 1\/4, -0.2?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by -25586566\nAnswer: 1\/25586566","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6034429?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 136\/119 - 1116\/1050.\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:39 PM and 1:56 AM?\nAnswer: 557","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1659690781 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 15438243043 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-591)\/(-39) + (-2)\/13. Let g = c + -7. Solve 15 = g*r - 3*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*v - 2*l - 67, 5*v + 274*l - 130 = 279*l. Factor 28\/5*z**2 - 28\/5 + 4\/5*z**v - 4\/5*z.\nAnswer: 4*(z - 1)*(z + 1)*(z + 7)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-8)\/(-4))\/(-2) - 652\/(-4). Suppose -c = -4*j - j - 3*o, 12 = 3*o. What are the prime factors of j?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -1\/1073175414?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-322)\/(-112) + 1\/8. Solve 0 = -5*l - x*g + 17, -g - 8 = -l - 3 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the first derivative of -50 + 71\/2*j**2 + 0*j + 0*j**3 - 15\/2*j**4. What is the second derivative of l(b) wrt b?\nAnswer: -180*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -17 - -17.1. Let k = -10 - -10. Let s = k + r. What is the closest to s in -3\/5, -0.3, -4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -3*b - 2. Give x(-14).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i**3 - 6*i**2 + 9*i + 10. Let q be k(-7). Let f(p) = p**3 + 4*p**2 - p + 4. Let u be f(q). What is the tens digit of 46*1\/u*4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1139906, -2279811, -3419716?\nAnswer: -4559621","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 17 = -3*m + 4, c - 5*m - 34 = 0. Suppose 18 = i + 4*s - c, -3*s = 12. What is the units digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10 - 33 + 336*h - 330*h.\nAnswer: 6*h - 43","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Add together 481146.91 and -83.\nAnswer: 481063.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 5*i = -i + 8, 4*f - 2*i = 10. Let v(x) = -2*x**2 + 4*x - 1. Let a(u) = 2*u**2 - 5*u + 2. Let y(q) = 2*a(q) + 3*v(q). Give y(f).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n**2 + 37*n - 234. Give v(8).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 5 (b) 2 (c) 10.662 (d) 519 (e) 0.2 (f) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -1\/5, -3, 1713, 0.3, -2\/19, 33?\nAnswer: 33","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 13 - 13.5. What is the biggest value in -4, y, -1\/4, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -696*f. Let p(l) = -353*l**2. Calculate p(q(w)).\nAnswer: -170998848*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 240690\/(-6102) + 132\/54?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3908 and -2415?\nAnswer: 9437820","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1927 is divided by 160.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10101101011011 + 1001010000?\nAnswer: 10110110101011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 27748\/202164*24\/28.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 132 is divided by 71?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1629)\/180 - 6\/8. Let n = -10 - y. Let t = 37 - 37.8. Is t at least as big as n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*s**3 + 64*s**2 + 512*s = 0. What is s?\nAnswer: -16, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 5595*k - 55795. Give s(10).\nAnswer: 155","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (13*(-23)\/(-598))\/((-19)\/(-1634))?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -134*h**4 - 2*h**2 - 68 wrt h.\nAnswer: -536*h**3 - 4*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + -5 - -13 - (-4 - 0 - 1).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 3, t: 4, p: 1, j: 3}. What is prob of picking 1 t and 1 y?\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t + 22 = -2*f, 12*t - 7595*f + 7599*f = 0 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 10672 and 87?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.008684 rounded to three dps?\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 2248, 4459, 6636, 8773, 10864, 12903, 14884?\n\"Answer: -w**3 - 11*w**2 + 2251*w + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 66345, 265356, 597037, 1061388?\nAnswer: 1658409","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:58 AM and 3:15 PM?\nAnswer: 677","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 3 (b) 1\/6 (c) -1\/4 (d) 2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 2*d, 42 = o + 4*d - 9*d. What is the greatest common factor of o and 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5533ec (base 15) to base 7\nAnswer: -46342500","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3642973.\nAnswer: 41, 88853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the second derivative of 0*i**5 + 0*i**6 + 0*i**2 - 11\/12*i**4 + 0 + 0*i**3 - 7*i - 2\/21*i**7. What is the third derivative of y(f) wrt f?\nAnswer: -240*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - p + 2*p + 36 = 0, 3*p = -d + 20. Suppose 4*o - 2*o = f + d, -4*o - 3*f + 26 = 0. Suppose o*u - 2*u + 3 = 0. Which is bigger: u or 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 6 + (-1 - (2 + -1)). Suppose -7*o - 25 = -2*y - 4*o, 2*y = -5*o + 33. Calculate the remainder when 55\/10*(y - t) is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*a - 63 = 238473*z - 238476*z, -3*a = -33 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 45 and 243?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -148.4 - -91.5. Let c = 24.1 + -25. Let f = c + x. What is f rounded to the nearest 10?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 7*r - 27. Let l be t(9). Let c be ((-3)\/7)\/(l\/(-504)). Solve -2*q + 0 = c for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 108, 127, -24, -429, -1172, -2337, -4008?\n\"Answer: -14*n**3 - n**2 + 120*n + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hf when two letters picked without replacement from {h: 2, e: 5, r: 1, x: 1, f: 7}?\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2828267 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -x**3 - 6*x**2 + 18*x + 16. Let k be l(-8). Let d(i) = 45*i - 17*i + k*i. Let c(f) = -3*f**2. What is c(d(t))?\nAnswer: -2352*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2286675.\nAnswer: 3, 5, 10163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -141702989 - -8.\nAnswer: -141702981","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n**2 - 14*n + 63. Give o(17).\nAnswer: 114","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 65290?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 4*u = 12, 2*u = 4*u + 8. Calculate the remainder when 46 is divided by 11 + l + -3 + 3.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -7, 5, -1 in ascending order.\nAnswer: -7, -1, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*g - 28 = 20*g for g.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -177254*s + 93342 wrt s.\nAnswer: -177254","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 239 and 11.\nAnswer: 2629","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(((sqrt(11) - sqrt(99))*4 + 0 + sqrt(44) - sqrt(99)\/(sqrt(99)\/(sqrt(22)\/sqrt(2)))) + -1))**2.\nAnswer: 56*sqrt(11) + 2160","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -48 - 4?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1473*c - 1478*c - 1476*c + 4427*c + c**2.\nAnswer: c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (15*3\/18)\/((-1)\/(-2))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-nine halves of a litre?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5343157 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 21*p + 2. Let v(d) = -6562*d**2. Determine r(v(m)).\nAnswer: -137802*m**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 519 is divided by 48?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 72 = 61*c - 25*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 3165792, 6331607, 9497422, 12663237, 15829052, 18994867?\n\"Answer: 3165815*r - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 415.9*-2640.\nAnswer: -1097976","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -1610 + 1610 + 32*a as r + u*a and give u.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -j**2 + 0 + 0 + 3 + j**2 - 3 + (-4 + 2 + 1)*(-j**2 + j**2 - j**2) + (-2*j + 5*j - j)*(-5*j + j + 2*j) - 71*j**2 + 122*j**2 + 170*j**2.\nAnswer: 218*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4314433 + 14?\nAnswer: 4320002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -686.9 - -686.90018658. Round x to six decimal places.\nAnswer: 0.000187","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -196 + 184 = -i + 5*r, 0 = 3*i + 2*r - 2 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*c**4 - 15*c**2 + 17*c**2 + 196*c + 45*c**2 - 2 + 2*c**3 + c**4 - 199*c in the form o + h*c**4 + s*c + b*c**2 + q*c**3 and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3 + (10 - 6)*-1 - (-51)\/3. Solve 2*v - 3 = -3*n, -c*n - 6 = 4*v - 14*n for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -152 + 316. What is the tens digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k**3 - k**2 - k + 3. Let c be y(0). Suppose 29 = c*b + 77. Let v = 26 + b. Calculate the remainder when 28 is divided by v.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 78.16443 grams in micrograms?\nAnswer: 78164430","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 46, 208, 474, 838, 1294, 1836, 2458, 3154?\n\"Answer: -g**3 + 58*g**2 - 5*g - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 4340, 8697, 13052, 17405?\n\"Answer: -x**2 + 4360*x - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 149\/11556120 and 29\/195040?\nAnswer: 46224480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d\/(d*d**0*d*d))\/d)**(-31)*(d**2\/d)**(2\/69) assuming d is positive.\nAnswer: d**(4280\/69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the third derivative of -k**6\/120 - k**5\/12 + 13*k**4\/24 - 17*k**3\/6 - 2*k**2 - 68*k. Give o(-7).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -84*h + 79*h = 0 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = -1 - 1. Let p = -11 + 14. Let f = p + c. Solve -f*t = -3*t + 8 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-2\/19)*j**(2\/5)*j**23*j\/((j\/(j*j**(1\/2))*j)\/j))**(-1) assuming j is positive.\nAnswer: j**(-4711\/190)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1973 + 1999 - (0 - -59).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 159.420059619 less than -98?\nAnswer: -257.420059619","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 46*x - 53*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y**2 - 6*y - 19. Is t(14) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = -h - 1. What is the units digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1613 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -136*n**3 + 5. Let y(k) = -134*k**3 + 4. What is 4*g(m) - 5*y(m)?\nAnswer: 126*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.61 + 0.3. Let t = i - -0.3. Let o be (((-9)\/(-15))\/((-37)\/(-370)))\/2. Is t at least o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*r - 60 = 12. Let y be 3*r\/84 + (-24)\/(-14). Solve 3*n - y*a = 18, -2*n + 4*a + 14 = 2*a for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 9*y**2. Let w(g) be the third derivative of -g**5\/60 - 31*g**3\/6 - 2*g**2 - 110*g. What is w(l(o))?\nAnswer: -81*o**4 - 31","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.2 or -588?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*v + 29*v - 19250 = 14*v. What is the least common multiple of v and 286?\nAnswer: 7150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -151c (base 14) to base 13.\nAnswer: -1926","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (4\/(-10))\/(434\/(-482825)). Solve -r*n - 30 = -440*n for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6\/5 of a litre?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 + 1154.55243394918?\nAnswer: 1154.95243394918","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fibb when four letters picked without replacement from wifibbiif.\nAnswer: 1\/189","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 18\/17 != 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -64*p**4 - 77010*p**2 + 5039*p - 696 wrt p?\nAnswer: -768*p**2 - 154020","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 2*q + 53 = -q, -q = -c - 21. Let t be 2\/((-2)\/(-5))*(-16)\/c. Find the third derivative of -5*g**2 + 4*g**t - 12*g**5 + g**2 + 2*g**2 wrt g.\nAnswer: -480*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m**2 + 9*m - 21. Let c be t(5). Is -2\/1209 <= c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = -3*c - 4*i + 5*i, -2*i = 4*c - 2 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2.9 - 0.1. What is the biggest value in -1, f, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 12523228?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 4*z - 192 = 86, 3*z + 453 = 3*c. Calculate the remainder when c is divided by 25.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2039\/74 + -55\/2. What is the closest to -1 in v, 4, 6\/7?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.03*0.2368813.\nAnswer: -0.007106439","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63 = 8*h - 215. Suppose -35*n + 16*n = h. Which is smaller: 1\/29 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 40538954?\nAnswer: 2, 229, 88513","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-r**3 - 4*r**3 + 0*r**3 + (2*r - 2*r + r**2)*(1 - 1 - 2*r) - 2*r**3 + 3*r**2 - 3*r**2 - 40*r**2 + 40*r**2 + 4*r**3 + 3*r)*(-5*r**2 + 2*r**2 + 2*r**2).\nAnswer: 5*r**5 - 3*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 273 and 21489?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 4, e: 2, g: 3}. Give prob of picking 3 c.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 2*b - 5. Let s be m(11). Suppose -s = -4*r - 1. Calculate the remainder when r is divided by 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d**2 + 3*d - 1. Give g(4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 178839?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -18 or -324\/19?\nAnswer: -324\/19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the third derivative of 0 - i**2 - i**3 + 0*i + 1\/12*i**4. Let a be n(5). Solve 0 = -5*s + a*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 6 = 3*s. Let y be 1*s\/(-4)*-12. Which is the second biggest value? (a) y (b) 0.4 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 32682?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3 + 0. Let p = -2.7 - g. Let r = p + -0.3. Which is bigger: -1 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 0 (b) 2.9 (c) 9\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28657 = -2*m + a, -m = -5*a - 17797 + 3455. What is the thousands digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33 = -v - 3*m, -v + 16 = m - 19. Solve v - 31 = -5*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n + 2*n - 12. Let h(v) = 70*v + 36. Let i be h(15). Suppose i + 1126 = n*f. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.00921 and 51212.381009.\nAnswer: 51212.390219","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9.3 - -10. Let q = l - -4.3. Let s = 13.9 + -14. Which is the nearest to s? (a) -5 (b) -0.1 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -12 - -11.91. Let q = -772 - -776.09. Let y = s + q. Which is the smallest value? (a) -0.4 (b) -5 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4068)\/(-27) + 22\/(-33). Solve 5*g - 175 = -k for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2156 - -2160. Let d = 1 - 1. Suppose d = -2*b + 3 + 7, -a*b + 32 = 2*x. Calculate the least common multiple of 2 and x.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 37*z - 633 + 226 for z.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000007486 rounded to 6 decimal places?\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 46738, 46763, 46788, 46813?\nAnswer: 46838","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1 + 0 + 0)\/1. Suppose 5*i - i - 8 = 0. Is o at least i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -5*b + 4. Let s(t) = -9*t + 8. Calculate -11*i(n) + 6*s(n).\nAnswer: n + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6321.1ns to seconds.\nAnswer: 0.0000063211","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ejg when three letters picked without replacement from ojkjojkejeeg.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z + 489 + 536. Round z to the nearest 10.\nAnswer: 1030","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -2*n**3 - 9*n**2 - 6*n - 4. Let z be x(-4). Suppose -14 = -z*f + 2*p + p, -2*f + 20 = 5*p. Solve -5*g + 8*u = 5*u - 8, 0 = f*g - 5*u for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12*a**3 - 9*a**3 - 8 - 7915*a + 81*a**2 + 7915*a to b + s*a**2 + x*a**3 + w*a and give b.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*n**2 + 3*n**2 - n**4)*(-156 - 239 + 59 + (2 + 0 + 0)*(1 - 6 + 2)).\nAnswer: 342*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2\/449891 - -22943611\/186704765. What is the common denominator of 57\/830 and j?\nAnswer: 830","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the third derivative of 16*h**4 - 53*h**3\/2 - 347*h**2. Differentiate m(t) with respect to t.\nAnswer: 384","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 12 and 112587.\nAnswer: 450348","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 28*p**2 - 425*p - 365. What is v(16)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -66*b + 57. Let l(u) = 197*u - 173. Let c(p) = -7*d(p) - 2*l(p). Is c(9) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-3 + sqrt(1300))*6.\nAnswer: -36 + 120*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 5302?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -103, -92, -79, -64, -47?\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-544)\/(-54) - -14*15\/(-21).\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.8 + -1. Suppose -3*w = -a + 28, 78 = 4*a + w + 4*w. Let k = 89\/4 - a. Sort k, b, 0.2 in ascending order.\nAnswer: b, 0.2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*y - 194 - 21*y + 199 + 6*y.\nAnswer: -28*y + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 29*z + 120 = 33*z, -5*y + 2*z = -150. What is the highest common factor of y and 78?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -2*q - 51. Let u be r(-27). Suppose -3*g - 3 = 0, -3779 = -3*z - g - u*g. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -5*m - 2*p, 5*p = 4*m - 0*m - 7. Suppose -2*i + 7 = c + m*i, 0 = 5*c + 5*i + 5. What is the units digit of 7\/c*-3*1?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 261*g - 2645 = 39*g + 463 for g.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = 4*r + 7, -65*g - 2*r + 35 = -62*g. Solve 0 = -2*h + g*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (122\/(-6) - 1)*-3. Suppose 30 = 3*j - 3*z + 6, z = 2*j - 16. What is the highest common divisor of j and i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eo when two letters picked without replacement from oqqvwieqwwio?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1291 is divided by 19.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1)\/3 + 12514\/3 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 1 = 6*w. Suppose f - 4 = w. Sort -5, f, 1 in increasing order.\nAnswer: -5, 1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u\/(u\/u**(3\/4)))\/u)\/u)**17*u**(2\/9)*u\/u**(-1\/2) assuming u is positive.\nAnswer: u**(-703\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 89*y**2 - y + 46.\nAnswer: 178*y - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -69, -106, -141, -174, -205?\nAnswer: -234","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 168\/(-441)*(-18)\/(-24)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00614324 rounded to 5 dps?\nAnswer: -0.00614","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the third derivative of 0*s**3 + 0 + 0*s + 0*s**4 - 202*s**2 - 1\/30*s**5. Let p(q) = 11*q**2. Calculate v(p(t)).\nAnswer: -242*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*o + 4*o = -16. Let j = -161 + 195. Solve 14 - j = -o*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6711 (base 11) in base 6?\nAnswer: 104541","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2073601 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (-28*n + 28*n + 4*n**2)*(5*n**2 - 5*n**2 + 5*n**2) + (-13*n + 6 - 6)*(-n**3 + 3 - 3) in the form j*n**3 + k*n + c*n**4 + u + p*n**2 and give c.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -3653*c**2 - 30*c - 10730. Let y(t) = 1827*t**2 + 18*t + 5365. Let u(p) = -3*a(p) - 5*y(p). What is the derivative of u(b) wrt b?\nAnswer: 3648*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6393521 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -10.6366414 - -5224.3339414. Let f = r + -5214. What is f rounded to 2 dps?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3 + 0. Suppose -5*x - 15 = 0, -z*y - 6*x + 4*x + 114 = 0. Does 11 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -4*s - 4. Let d be o(5). Let m = d + 36. What is the highest common factor of 36 and m?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 2*i**3 - 27*i**2 - 20*i + 50. Determine n(14).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-1 + -1)\/4)\/((-207)\/(-1656)). Let k = 81\/430 + 1\/86. Which is the nearest to -1? (a) h (b) k (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 21 - 17.36. Round g to one dp.\nAnswer: 3.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1.23 + 1. Let q = a + -6.57. Round q to the nearest integer.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i**3 - 5*i**2 + 2*i + 4. Suppose 64 = -0*r + 4*r. Let f = -13 + r. What is q(f)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 19 = 17. Find the second derivative of 16*g**3 + f*g**3 - 5*g - 63 + 63 wrt g.\nAnswer: 168*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 695013?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = j + 20. Suppose -5*u + 10 = 3*k - 4*k, 0 = -3*u - 5*k + j. Solve -2*f + 3*m = -f - 3, -m - 1 = u*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/(-1)*-1)\/(-6*(-6)\/(-24))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -11 (b) 6 (c) 4 (d) 28\/27 (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 60 = -5*w + 150, h = 5*w + 24. Solve 5 = 40*d - h*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -212.3 + 212.2. Put s, 3\/8, 1, -0.02 in ascending order.\nAnswer: s, -0.02, 3\/8, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -491 + 466 - (-41 - -1)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -6465 + 4?\nAnswer: -6461","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -107 = 1221*d - 1451*d - 195 - 832 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = 19 - 7. Are 3 and m nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-7\/3)*q*(q*q**(-8)*q)\/q*(q**(2\/3))**(-47) assuming q is positive.\nAnswer: q**(-119\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 11189 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1242 = 20*p - 38*p. Suppose 40*z - p = 11. Solve -z*o - 7 - 3 = 0 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -133.2 + 134. Let a = 4.329 - -0.671. What is the smallest value in a, -3\/4, v?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -45 + 67. Suppose -4*r + 118 = w. Does 3 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8 - 5. Let z = o - -10.5. Let x = z - -2. What is the biggest value in x, 0, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the second derivative of u**5\/20 + u**4\/2 + u**3\/6 - u**2 - 11*u - 3. Give q(-6).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -27*w**2 + 5*w + 2. Let f be h(-1). Let b be ((-3)\/2)\/(2*f\/80). Suppose -2*g = -4*o - 3176 + 86, -b*g + 5*o = -3094. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p**2 - 19*p - 54. Let v be m(-16). Is 5440 - v*30\/(-36) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (v + 3*v + v)*(39*v + 18*v**2 - 39*v) + (4*v - 4*v + 3*v**2)*(7 - 4 + 3*v - 7).\nAnswer: 99*v**3 - 12*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/186570 and -107\/810.\nAnswer: 559710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 258 = -18. Suppose 2*k + 4*x = o, 2 + 3 = 5*x. Let z = 50 + k. What is the remainder when z is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let f = 1064 - 254. Does 81 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(570\/543)*-1 - 4\/(-38)\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (37162\/1093)\/(3\/9*(-1)\/1*-2)?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d**2 - 392. Let f(k) = -42*k**2. Determine l(f(z)).\nAnswer: -1764*z**4 - 392","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a**3 + 2*a**2 - 2*a + 1. Let v be c(-2). Suppose d = v*d. What is d rounded to the nearest 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 + 5 + -6 - -11?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 43*l + 8040 + 3*l**2 + 8033 - l**2 - 16070.\nAnswer: 2*l**2 + 43*l + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.5, 0, 767, 1\/1802?\nAnswer: 767","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*y**4 - 31*y**4 - 39*y**4 + (3 - 2 - 3)*(8*y**4 - 10*y**4 - 4*y**4) + 0*y**4 - 3*y**4 + 4*y**4 to b + l*y**3 + r*y + n*y**2 + k*y**4 and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*y - 3*z + 6*z + 63, -5*y = -3*z - 153. Let x be 2*(63\/y)\/1. Let b = x + -89\/20. What is the nearest to b in -2, 0, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = -0*g - 4. Let t(m) = -3*m**3. Let x be t(g). Suppose 0*b + x = b + 5*o, -b + 18 = -o. What are the prime factors of b?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of (-286)\/275*-65*15 and 33?\nAnswer: 11154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 26 = 18. Let a = b - -53. Suppose -4*d + 3*f = -3*d - 17, 0 = 3*d - 5*f - a. Solve -13 = -d*q - 3 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 189 and 441?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = h**3 + 10*h**2 + 11*h + 14. Let a be c(-9). Let r be 0\/2 - (1 + a). Solve -3*s = r*l - 0*l + 15, 5*l = -3*s - 15 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.11 - 0.41. Sort g, 2\/3, -5 in ascending order.\nAnswer: -5, g, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 176 and ((-572)\/5)\/((1\/(-2))\/(175\/70)).\nAnswer: 2288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -2, 0, -6, -26, -66, -132, -230?\n\"Answer: -p**3 + 2*p**2 + 3*p - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -71\/286?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*i - 5433 = 37047. What is the tens digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51065 bigger than 459592\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 49 + -30. Let g = -13 - -23. Calculate the remainder when a is divided by g.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 72 = 13*m. Suppose m = 9*h + 44. Let z(d) = d**2 + 5*d + 1. Calculate z(h).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f*(f**(-5\/2)\/f)\/f*f*f**(-5\/2) assuming f is positive.\nAnswer: f**(-5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h**3 + 27*h**2 - 3*h - 13. What is the hundreds digit of d(-22)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 11\/2 of a millennium?\nAnswer: 66000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 q when two letters picked without replacement from {q: 5, b: 3, d: 8}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 8525451*o*p**3 + 20*o*p - 378*p**2 - 22*p + 2 wrt p.\nAnswer: 51152706*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.04 in 9, -1, 1\/3, -1\/8?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -473 by 298621.\nAnswer: -473\/298621","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -4*n**3 - 3*n**2 + 4*n + 5. Let z be c(-3). Solve 63*s - z*s - 33 = 0 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/5 of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -358 + 460. List the prime factors of b.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 - -18. Let k = 8 - o. Suppose 0 = 3*a + 3 + 18. Is a >= k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, i: 1, x: 1}. What is prob of picking 1 v and 1 i?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*v - 0*v. Let d = 1 + v. What is the remainder when 6 is divided by 3 - d*(-2 - -1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**9*k**(-5\/6)\/k*k)**21 assuming k is positive.\nAnswer: k**(343\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1565313052 + -1565313013.21826505. Let z = 0.21819405 + i. Let f = z + -39. What is f rounded to 5 decimal places?\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8591955929 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 minutes before 10:15 AM?\nAnswer: 9:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.262 and 0.5?\nAnswer: 0.238","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 8*f**3 - 6*f**2 - 6. Suppose -12 = 3*v - 30. Let k(c) = c**3 - c**2 - 1. Determine v*k(i) - q(i).\nAnswer: -2*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2655876 a multiple of 204?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -20*x**2 + 26*x. Let b(m) = -144*m**2 - 115*m**2 + 9*m + 252*m**2. Determine 5*a(h) - 14*b(h).\nAnswer: -2*h**2 + 4*h","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3, -5, -3, 15, 55, 123, 225?\nAnswer: 367","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((1 - 2)*1)\/((-3)\/(-129)). Let z = o + 43. What is the third derivative of 2*p**2 + 4*p**2 + 2*p**2 + 16*p**6 + z*p**2 wrt p?\nAnswer: 1920*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 251650 a multiple of 175?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -30 + (23 + -20 + -12 - -2)\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence of when two letters picked without replacement from loooqqfflqfoqoqoqlq.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*((sqrt(143)*1 - sqrt(143)) + sqrt(143) - sqrt(143)))\/sqrt(11) + sqrt(13)*-1*-6 + (-2*sqrt(1573))**2.\nAnswer: 6*sqrt(13) + 6292","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 45268787?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4052 - 974 = 9*j. Suppose -5*p - 27 = -j. What is the units digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -181995 by 181995.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from coooucooobmocobmobb. Give prob of picking 1 m and 1 b.\nAnswer: 8\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 13104862?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -d**3 - 16*d**2 + 13*d + 20. What is the tens digit of p(-17)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t**(5\/2)\/t))\/t)**(1\/13)*((((t*t**14\/t)\/t)\/t)\/t)**(-47) assuming t is positive.\nAnswer: t**(-13445\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5118 + 4?\nAnswer: -5114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4673\/6 - 60761\/78. Put -22, m, -1\/4 in descending order.\nAnswer: m, -1\/4, -22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 217648346 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (16\/(-40) - 24\/(-10)) + -47. Let v = u + 43. Is (v + 10764)*3\/6 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 790?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 913996.\nAnswer: 2, 83, 2753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 778*h + 323. Let g(t) = -t**2 - 29*t - 13. Let j be g(-27). Is x(j) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6 by 2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 527*v**4 - 379217*v**3 + 379217*v**3 + 408*v**2 wrt v.\nAnswer: 12648*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 127*x - 124*x + 13 = 4*n, 2*x - 90 = 2*x - 27*n + 18 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2904*a = 2375*a - 10051 for a.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -85*n**2 + 275*n - 360. Let h(y) = 7*y**2 - 23*y + 30. Let r(f) = 25*h(f) + 2*o(f). Factor r(j).\nAnswer: 5*(j - 3)*(j - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (18\/(-7))\/(-6)*(-77154)\/(-4546575).\nAnswer: 2\/275","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3649*p - 3646*p + 4*y + 33, 5*y = -p - 0*p for p.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 2, -8, -1, 33.\nAnswer: -8, -1, 0, 2, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 9968\/99 + -1110\/11. What is the nearest to 2\/5 in o, -0.4, -1, -3\/7?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -9 (b) 182 (c) 0.4 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.032, -1\/7, 2\/3, 1, -4\/3 in decreasing order.\nAnswer: 1, 2\/3, 0.032, -1\/7, -4\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q**2 + 2*q + 2. Let x = -6 + 4. Let i be b(x). Find the third derivative of 6*u**i + u**2 - u**5 - 5*u**2 wrt u.\nAnswer: -60*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(143) + 6*(sqrt(143) - -1*sqrt(143)) + sqrt(143))\/(sqrt(11)*4*5).\nAnswer: 7*sqrt(13)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 6*2\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*y + 95722 = -236318. Which is smaller: y or -8302?\nAnswer: -8302","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10 - -1400?\nAnswer: 1410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -474067\/50 - -9482. Let w = -76709\/150 + 1534\/3. Let v = f + w. Which is the nearest to 1? (a) v (b) -4\/7 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-99)\/(-21) + 6\/21. What is the biggest value in 2, s, 0?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20168*b + 19251*b - 44016 = 0 for b.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: What is 27733128 to the power of 1\/5, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u - 5. Let n = -16 + 21. Let k be y(n). Calculate the common denominator of k + ((-105)\/(-16))\/(-7) and 81\/20.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 83761157?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.6 - -1. Let q = 0.41881 + -4.41881. What is the second biggest value in q, 69, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12239, 12227, 12215?\nAnswer: 12203","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.40170538 to 3 dps.\nAnswer: 0.402","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = -7*n. Solve 1 = 2*l + b - 9, n = -2*l - 3*b + 10 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 118*p + 5798. What is the least common multiple of k(-35) and 10?\nAnswer: 8340","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.01, -0.03, -1\/6, -0.07?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -122*v + 3637. Determine n(29).\nAnswer: 99","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*d + 2647 = 480. What is the units digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -251, -507, -763, -1019, -1275?\n\"Answer: -256*c + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 2*x**2 - x + 4. Let q(v) = 49*v**2 - 20*v + 75. Let h(y) = 12*y**2 - 5*y + 19. Let z(n) = 9*h(n) - 2*q(n). Give -11*w(o) + 2*z(o).\nAnswer: -2*o**2 + o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (39\/(-6))\/((-147)\/(-84)*(-6)\/21)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 8) to base 13.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = 2*o + 4*z - 18, 29*z - 41*z + 36 = -2*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*b = -4*b + 24. Let z be 28\/(-2) + 11\/(44\/8). Let i = z - b. Solve i = -2*n - 9 - 1 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6407477 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 2, u: 1, h: 1, f: 1}. Give prob of picking 2 s and 1 u.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -3*(-3)\/((-27)\/(-12)). Suppose -5*g = -2*y - 80, 27 = 4*g - j*y - 37. Is 5 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 112 (b) -16 (c) 9 (d) -1 (e) -2\/335\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}